{"text":"Question: What are the prime factors of 57353402?\nAnswer: 2, 109, 263089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.048 + 3861.\nAnswer: 3861.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 621324?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of i**3\/6 - i**2\/2 + 7*i. Determine u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5062 and 58786?\nAnswer: 148787366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + 0. Suppose -m - 6 = -3*a. What is the second derivative of -7*d - 2*d**a + 0*d**4 + d**4 + 4*d wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*u + 55748 = 98*u. Does 77 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 6 + 5*j + 0*j + 2*j. Suppose a + 0*a - 2 = 0. Let b be n(a). Calculate the greatest common factor of b and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4\/3  (b) 0  (c) 1\/6  (d) 11876\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.6 times 613950?\nAnswer: -4052070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from fkqqfqff.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of k**7\/2 - 4*k**6\/15 - 53*k**3\/2 + 5*k - 35. Find the second derivative of z(q) wrt q.\nAnswer: 420*q**3 - 96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*i - 25*i + 5*m = 10, 45 = 5*i - 6*m for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010112 (base 3) to base 15.\nAnswer: 39e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kbbbkkbbs. What is prob of picking 1 s and 1 k?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1865180 and 2305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (15260214\/8)\/(3\/(-12)). Suppose -k = 3*k - 11320428. Let c = k + u. Round c to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 112 and 25914.\nAnswer: 207312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -822 - -833. Solve -6 + u = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.01  (b) -1\/4  (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -53, -8, 0.0348?\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*s**3 + 3 + s**4 + 9*s**3 + (-4*s + 4*s - 6*s**3)*(-5*s + 2*s + 2*s) + 0*s**2 + 2*s**4 + 0*s**2 + 114*s + 10*s**4 - 114*s.\nAnswer: 19*s**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - -2b5?\nAnswer: 2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 2 - 4*m**3 - 20*m + 20*m to c*m**2 + r + s*m + i*m**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/510726 and -7\/9278189.\nAnswer: 55669134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -5*w**2 + 7*w - 3. Let t(i) = i. Let k(r) = -h(r) + 6*t(r). Let j(c) = -c + 1. What is 3*j(l) - k(l)?\nAnswer: -5*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -2*o**3\/5 - 248*o**2\/5 - 146*o - 484\/5 = 0.\nAnswer: -121, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2332013 (base 6) to base 14\nAnswer: -32129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -11*p + 10. Calculate v(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-10 - 0) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -99, -202, -305, -408, -511, -614?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 206765 (base 12) in base 2?\nAnswer: 1111100010010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1456 and -528929?\nAnswer: 527473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21) + (sqrt(336) + sqrt(21))*1)\/(sqrt(363)*-3 - sqrt(3)).\nAnswer: -3*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*d**3 + 3*d - 3*d + (-2*d - 2 + 2)*(-1 - 2*d**2 + 1) + (-3*d**2 + 2*d**2 - d**2)*(2*d + 3*d - 2*d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3733587 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (294*c**3 - 150*c**3 - 145*c**3)*((2*c + c + 0*c)*(2*c - 2*c + c) + c - c + c**2).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 3:20 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 - -20. Let h be m + -3 + (0 - -2). Suppose 3*q + l + l = 9, 4*q = h*l + 32. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 + 52 = 6*j + 2*t, 3*t - 3 = -2*j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/7, 2, 5\/3, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 + 3*l - 11. What is the remainder when n(-6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3531269*m**4 + 2*m + 3667461?\nAnswer: -42375228*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 6*q - 30. Let t be n(9). Let r be 11200\/(-12)*2430\/t. Round r to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.52 - 0.12. Let n = 7 + -5. Which is the second smallest value?  (a) n  (b) y  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 203992 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (10 - 1) + (-5 - -2). Suppose 4*w - 379 = 5*q, 2*q = -4*w + j*w - 190. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3168\/272 + (-198)\/(-561).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -676 = 4*z - 656 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2)\/((-55)\/70 - -1)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 (base 16) in base 3?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2025203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 356\/193?\nAnswer: 356\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (10 - (-8 + 14 + -6 + -6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r + 38. Let b(i) = -20 - 19*i + 11*i + 7*i. Let s(k) = 11*b(k) + 6*u(k). Let j(f) = f**2 - 8*f + 7. Let z be j(6). Give s(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -8318*r + 33612. Determine y(4).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20.81 + 21. Let q = j + -0.49. Let y = 21\/5 - 19\/5. Which is the nearest to 0?  (a) y  (b) q  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 + 7*a - 8. Let u be r(6). Let j(o) = 11*o**2. Let l be j(u). Let c = l - 31. Solve 2*d + c = 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/29  (b) -2  (c) -108  (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 77*i + 7. Let w(q) = 38*q + 3. Calculate 6*t(s) - 13*w(s).\nAnswer: -32*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 1. Let x(y) = -11*y**2 - 14*y - 17. Let r(b) = 6*n(b) - x(b). Is r(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 96771.4um?\nAnswer: 96.7714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 970904 is divided by 485439.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 385442*d**3 - 19113308432*d**2 + 522459240*d - 3570336.\nAnswer: 2*(d - 49588)*(439*d - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 21 = 9. Let y = k - -22. Let d = y - 5. Solve -a = a - d, -5*o + 2 = 2*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -l**2 - 35*l**3 + 0*l**2 - 2*l**4 + 15*l**3 + 15*l**3 as u*l**4 + f*l**2 + y*l**3 + j*l + n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 99*-0.06.\nAnswer: -5.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1874.9999672 + 1875. Round j to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*j**3 - 57 - 73 + 85 - 76*j**4 with respect to j.\nAnswer: -304*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -51*f**2 + 78*f**2 + 3 - 3 - 20*f wrt f?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-6))\/(-4*(-7)\/84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*u = -331 - 152 - 365 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, a: 11}. Give prob of sequence aa.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + w + 4. Let q(m) = -5*m**2 - 23*m - 10. What is -q(u) - 2*t(u)?\nAnswer: 3*u**2 + 21*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r**4 - 3*r**4 - 2*r**4 + (-4*r**2 + 1 + 0 - r**2)*(2*r**2 + 4*r - 4*r).\nAnswer: -12*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 6 = 0, -2*t - 3*t + 70 = 5*i. Let d = i + 2. Suppose -d*f - 96 = -18*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/429600229 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 + 8*z - 4. Determine m(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qee when three letters picked without replacement from qeeq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 i when three letters picked without replacement from {j: 2, i: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 186121345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2*x**3 + 38*x**2 - 97*x + 24. What is k(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/20 and (-3)\/4 + 2065\/(-700)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1132393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 136?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.05 less than 948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of d**2\/2 - 1. Let t(o) be the second derivative of -o**3\/3 + 2*o. What is x(t(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 5*o. Let k(u) = 6*u - u + 5*u - 7*u. Determine x(k(i)).\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*o**4 - 4*o**4 - 2*o**5 + (-6*o**4 + 0*o**4 + 0*o**4)*(-4 + 4 - 3*o - 4*o + 2*o + o + (-2 + 3 - 3)*(5 - 5 + 2*o) - 7*o + 3*o + 3*o).\nAnswer: 52*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7207 + 7211. Which is the second biggest value?  (a) 2.01  (b) -0.5  (c) s  (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4*1\/(-2 - 0). Suppose 24 = 3*c - 3*h, 5*h + 0*h = -c - 4. Suppose 7*u - 2*u - 3 = 4*f, -l*u + 4*f - c = 0. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191334 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + 0 + (6776\/(-336) - (-21)\/18).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 275090 divided by -77\nAnswer: -275090\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.93 + -0.07. Suppose -3*b + 20 = 4*w, 2*w + 0 - 6 = -b. Suppose 2*g - b + 10 = 0. What is the nearest to 0 in -3\/5, f, g?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.68 + -7.6. Let k = f + 0.92. Let x = 2\/61 + 112\/305. Which is the fourth smallest value?  (a) 2  (b) 0.5  (c) x  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-32 - 2619\/(-81)) + 52\/42 + -1. Factor -8\/7*t**3 - 22\/7*t**2 - 10\/7*t + r.\nAnswer: -2*(t + 1)*(t + 2)*(4*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3342541.\nAnswer: 3342541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 40 - 12. Let v = p + 94. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-226)\/4)\/((-39)\/78). Calculate the greatest common factor of w and 452.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k + 102*k**2 + 0*k - 108*k**2 + 2 to the form r*k**2 + j + b*k and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -30*n**3 + 1 + 2*n**2 - 1 + 24*n - 8.\nAnswer: -2*(n + 1)*(3*n - 2)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-11\/5)\/r)\/(r**(2\/11)\/r) assuming r is positive.\nAnswer: r**(-131\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4305132 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 + 12*o**2 + 90*o - 41. Let v be t(17). Suppose u + n - v = -40, -5*u = 4*n - 21. Solve 0 = u*z - z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**3 + 2237695*b**2 + 22376575*b + 55941125.\nAnswer: 5*(b + 5)**2*(b + 447529)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*v - 11. Suppose 4*r = -l + 4, -3*r + 16 = 3*l + l. Calculate the remainder when l is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4269 - -4275. List the prime factors of x.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -43*z**5 - 574*z**4 + 9*z**3 + 1106295*z**2?\nAnswer: -2580*z**2 - 13776*z + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/14 of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 852 and 2135254.\nAnswer: 12811524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/2*-6*1\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-0.034444.\nAnswer: -0.0103332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - v = -99, 5*s - 144 = v - 43 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 - 8*w + 9. Let m = -6 - -13. Let z be g(m). Solve 5 = -z*s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = -19*y + 21*y + 5, -13 = -3*k + 4*y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of -w**8\/6720 + w**7\/630 - w**4\/8 - w**2. Let n(y) be the second derivative of m(y). Find the third derivative of n(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87979 is divided by 2666.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 divided by -542.\nAnswer: -17\/542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 288*-0.23.\nAnswer: -66.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-60)\/45 - -1) + 302\/6. Calculate the greatest common factor of 125 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 27.8 - 26.4. Let k = -1.400000138 + i. What is k rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(272) - sqrt(272)*-1 - sqrt(272))**2 + 0 - sqrt(272) - (sqrt(272) + sqrt(272) + -2 + (sqrt(272) - (sqrt(272) + -2)) + sqrt(272))**2.\nAnswer: -2176 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*l + 3*v + 39, -7485*l = -7489*l + 4*v + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*b**3 - 81*b**2 + 55*b**2 + 7 + 29*b**2 + b**3 - b to the form i + v*b + l*b**3 + g*b**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 6 + ((-1750)\/(-861))\/(140\/(-210))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 36351.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10\/40 - (-19)\/(-60). Which is greater: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -4*n - 5*b, -3*b = 4*n + b - 12. Let k be 29340\/7 + -8 + 180\/21. Suppose 2*j = n*o - 0*o + k, -5*j + 10520 = 3*o. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 10*h - 3. Let p be y(-3). Let b = p - -20. Let c = -4 - b. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 42, -4.\nAnswer: -4, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 461*j**3 + 478*j**3 - j + j + 156*j**3.\nAnswer: 1095*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1547964 and 2251584?\nAnswer: 24767424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-216)\/360*(-15)\/54. Which is the third biggest value?  (a) h  (b) -0.1  (c) 4.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 5*k + 6 - 2, 3*k - 41 = -5*c. Let j be -3*190\/(-135) - 8\/36. What is the remainder when (j\/8)\/(2\/96) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 102, 213, 320, 423?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = 4*j - 16 + 34, 0 = g - 2*j - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 + 22*j**2 + 28*j - 24. Let t be a(-13). Is 1136 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + d = 190, 6*j - 938 = j - d. Is 40 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 29. Suppose 0 = 2*w + w - 18. Suppose 5*y - 3*s = -w*s + 60, -3*s = y - 24. What is the greatest common divisor of y and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -8*f + 1. Let n(a) = a**2 + a - 1. Let h(g) = j(g) + n(g). Let b be h(12). Let d = -64 + b. Do -8\/3 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -358849890 by -11961663.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000223083 to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8.18 * -0.09.\nAnswer: -0.7362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 5*i = -0*o - 31, 4*i - 27 = -5*o. Let m(x) = 19*x**2 + x - 8*x + o*x - 17*x**2. Let d(l) = -l**2 + 5. Calculate d(m(y)).\nAnswer: -4*y**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 28*d = -112. Solve -9 = d*c + 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, r: 1, b: 1}. Give prob of picking 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*b**2 + 38*b**2 - 35 + 6.\nAnswer: 64*b**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 41  (b) 0  (c) 0.1  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, -151 in ascending order.\nAnswer: -151, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 21 = 3*r, -4*r = 3*q + 30 - 44 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*x + 92*x = -330 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-64)\/40)\/((18 + -62)\/(-220)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 243\nAnswer: 5\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 4:42 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -136 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bqhh when four letters picked without replacement from ccqcbhhchch?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand c - 3*c + 4*c + (0 + 0 - 2*c)*(-3 + 0 + 5) - 2 + 2 - c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 376491?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1286 - 4*x**3 - 1286.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -199642 - -199748.031. Let m = -106 + y. Round m to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25431129 and 558?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 19 = 5*o - 3, -3*o = 5*u. Let r be (-3)\/u - (-1 - -5). Let a be 1 + r - (-4 - 1199998). What is a rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x - 5*n + 2857 = -5*x, -3*x + 4*n = -4274. What are the prime factors of x?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from townewt. Give prob of picking 1 e and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/15*(-399)\/266?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g**5 - g**2 - 11*g + 11*g + g**5 - 2*g**5 + 0*g**5 + g**5 + 0*g**5 + g**5 + (-3*g + 2*g - g)*(-3*g**4 + 0*g**4 + g**4) + 2*g**5 - g + g.\nAnswer: 9*g**5 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1163765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15514 (base 7) to base 12.\nAnswer: -2644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (5865218 - 5865241 + 26*o + 10*o)*(2*o - 4*o + 0*o) as x + s*o**2 + t*o and give s.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2077 by 8343.\nAnswer: 2077\/8343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 345640187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23*k**5 - 7*k**2 - 280*k wrt k.\nAnswer: 460*k**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 212 - 1944 = -4*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.11 - -0.01. Let u = 0.1 - n. Let f be (-1)\/(-6)*8\/(-6). What is the closest to f in -4\/3, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 24 = 2*k. Suppose -4*w = 3*o - 14, w + 0*o - k = -3*o. Let q(z) = z - 7. Let c be q(6). Sort c, 3, w in descending order.\nAnswer: 3, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4.9 in 0.05, -1\/204, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 6234 - (-8 + -7 - -10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2 - 687*v - 690.\nAnswer: 3*(v - 230)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1093 divided by 3?\nAnswer: -1093\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/66054 and -101\/18966.\nAnswer: 1915566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -76296 - -207047. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*g + 24*g - 8*g)*(35 - 20*g**3 - 25*g**3 + 47*g**3).\nAnswer: 52*g**4 + 910*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/27690 and 67\/156.\nAnswer: 55380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 186999559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -0.1  (c) 5  (d) 3\/2  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*b - 5 = 79*b. Find the third derivative of -88*r**b + 33*r**2 + 86*r**2 + 3*r - 3*r wrt r.\nAnswer: -5280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2235620066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 18*a**2 + 7*a + 5. Let d be g(18). Let o = d - 130. Is -1\/109 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145 + 239 = 22*l - 214. Sort l, 3, 44.\nAnswer: 3, l, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 11) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, b: 10, u: 5}. Give prob of sequence rrr.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 30199225279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:39 AM and 12:25 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 0.023, 2337, 3\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 41522, 83071, 124684, 166397, 208246, 250267, 292496?\n\"Answer: 6*i**3 - 4*i**2 + 41519*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 + u**2. Let k be l(2). Let p(x) = 2*x**2 + 4*x - 1. Let v be p(k). Suppose -4*s + 35 = -25. What is the greatest common divisor of v and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -572 - -431.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-4 + 10 - 5). Let i(g) be the third derivative of -g**6\/120 + g**4\/12 - g**3\/2 + 2*g**2. Give i(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 70\/56*(-10)\/(-15). What is the nearest to 1\/4 in 1\/7, m, -0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 16477, 16481, 16487, 16495?\n\"Answer: q**2 + q + 16475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 99527479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 7*c - 3*c)*(-12 - 37 + 76).\nAnswer: 54*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1891611 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 850 and 204374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7477 + 26?\nAnswer: 7503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the third derivative of -l**8\/20160 + l**7\/2520 + l**6\/720 + l**5\/30 + 74*l**2. Let f(z) be the third derivative of j(z). Determine f(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2316628757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 4 + (-2 - (1 + 10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*u**5 - 2*u**5 + 0*u**5 + (-4 + 0 + 3)*(-u**4 + u**5 + u**4) - 44*u**5 - 65*u**5 - 64*u**5.\nAnswer: -180*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = 5*k - 201. What are 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 second derivative of 1967*o**3*t + 105*o**3 - 73680*o - 7*t wrt o?\nAnswer: 11802*o*t + 630*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2*j - 9. Let f be r(-7). Let h(u) = -u**3 + 6*u**2 + 7*u + 2. Let z be h(7). What is the derivative of 2*x**3 + 2*x**3 - z*x**3 - 2 - f*x**3 wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 6 - 2 = 4*a, 0 = 5*b - 2*a - 32. List the prime factors of b + 0*(0 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 505 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of 0*k**3 + 0 - 95*k**2 + 0*k - 17\/10*k**5 - 7\/40*k**6 + 0*k**4. What is the third derivative of b(r) wrt r?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, c: 2, h: 4, p: 10}. What is prob of sequence phh?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12?  (a) 2  (b) 0.13  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -119 + 124. Put -2, -4, f, -1 in descending order.\nAnswer: f, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x*x\/(x\/(x*x*x**(-2\/29)))*x)\/(x\/x**(-4\/19)))\/(x**(-1\/13)*x*x*(x**(-14)*x)\/x))**11 assuming x is positive.\nAnswer: x**(1244727\/7163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 111 divide 43497765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (7\/(-1) - -6)*(1 - 162) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 97009054 to the nearest integer?\nAnswer: 9849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.9271387 to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/40 and (-1 + -1)*(-9 - 890\/(-112)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 2, -10, 33 in descending order.\nAnswer: 33, 7, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 + (-6)\/4)*4. Let b(o) = -8*o - 9*o + 24*o - 3*o. Determine b(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 0*i = -4*v + 72, -6*i = -775*v + 778*v - 39 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.0628 times 33226\nAnswer: 2086.5928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.7 + -0.4. Let v = m - 0.2. Let j = -31 - -61\/2. What is the third smallest value in v, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -93*s**3 - 7*s**2 - 3*s + 1574?\nAnswer: -279*s**2 - 14*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7619 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 434436189 divided by 3\nAnswer: 144812063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 25\/6  (c) -2\/7  (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h + 3*w - 11, -144*h = -145*h + w + 1. Solve -2*z - 12 + 4 = -o, o - h = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*r - 21*r + 42*r - 99*r**2 + 2 to the form k*r**2 + o + j*r and give k.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*x**4 + 6*x**2 + 19*x - 10*x - 10*x in the form k*x**4 + h*x + l*x**2 + p + i*x**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -3595c9 (base 13) to base 15\nAnswer: -1a3797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 101352 = 29*y. Calculate the remainder when y is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1, -3, -5, -38\/11, 0.7, -176?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 22\/6 + 3\/9. Suppose d*f + 81 = -3. Let k be (-261)\/(-2)*(-140)\/f. Round k to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-2\/9))\/s*s\/(s\/(s\/((s\/s**(-1\/2))\/s))*s)*s**(-2\/3)\/s*s\/((s*s\/(s\/(s\/s**(5\/4)*s)))\/s) assuming s is positive.\nAnswer: s**(-77\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 114*q + 1938. Let c be j(-17). Which is smaller: c or 248?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 + 29*b**2 + 40*b + 101. Is w(30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -506 and -2\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (13\/((-65)\/8))\/((-12)\/30)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000166648898 to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**3 + 34*n**2 - 62*n - 538. Determine v(31).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 5, 5.3, 2, -1, 3, -10926 in increasing order.\nAnswer: -10926, -1, 2, 3, 5, 5.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 - 7*h - 6. Let n be c(-5). Let l(y) = 3*y + n*y - 3*y + y - 2. Let x(w) = 11*w - 5. Determine 7*l(p) - 3*x(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5927693652.\nAnswer: 2, 3, 641, 256877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iifiiifiiii. What is prob of sequence ifii?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -152, 2, -32.\nAnswer: -152, -32, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 87.06 + -86. Let g = h + -1.06. Let o = 1\/2 - 5\/6. Which is the nearest to g?  (a) -4\/9  (b) 2\/9  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 530 divide 191217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 2907108699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*h - 169 - 579 = 1646 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/((-1885)\/(-20))*52?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 9:32 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.621 - -0.121. Which is the third smallest value?  (a) 1\/5  (b) -1  (c) 5  (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38 + -34. Suppose 1 - 41 = x*o. Let v(s) = -s**3 - 8*s**2 + s + 1. Is v(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 4 - 19. Let y be (-3 - -6)*b\/9. Suppose 4*x - y = -13. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0367 and -1742.\nAnswer: -1741.9633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(60\/(-9))*(-10)\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -490 = -5*x + 390. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 328430085 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71 - 74804*y**2 + 71 - 90883*y**2.\nAnswer: -165687*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 102 - 78. Solve -20 = -4*m + u*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 101170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v*v**(-8\/9))\/v*v\/v**(5\/3))\/(v*v**(10\/11)\/v*v*v*v**(1\/10)) assuming v is positive.\nAnswer: v**(-3529\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 13*x + 4. Let b(j) = 16*j + 3. Let w(m) = 4*b(m) - 5*s(m). Let r(g) = -g - 15. Determine 6*r(v) - 11*w(v).\nAnswer: 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -39*n + 75053 - 73181 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -3*m**2 - 40*m - 14. Let i be 4\/((-64)\/36)*16\/3. Let r be w(i). Calculate the highest common factor of 221 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -31*d - 15. Let l(a) = -6*a - 3. Let f(q) = 11*l(q) - 2*p(q). Suppose 87*t + 620 = -37*t. What is f(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2561 + 1415. What are the prime factors of j?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 12) + 7 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5577*j - 10292*j + 5317*j + 1 to the form n + q*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*n + 305599*n**2 - 305629*n**2 + 3*n**3 + n as w*n**2 + f*n**3 + b + s*n and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 2 = 2*s, -s - 496 + 506 = 4*w. Solve w*t - 5 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2*r**2 + r + 8726. List the prime factors of z(0).\nAnswer: 2, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 8885287091 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -7*l + 9. Let c(v) = -11*v + 14. Suppose -60 - 20 = 10*t. Give t*h(k) + 5*c(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3451 is divided by 3405.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*t**2 + 4*t - 15*t**2 + 23*t**2 + 269*t**4 - 158*t**4 as j*t**2 + p + s*t + c*t**4 + z*t**3 and give c.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*u - 76*u + 5*j = -7, 4*j = -u - 11. Let r be (-14)\/(-5)*175\/60. Let i = 41\/6 - r. Which is the third smallest value?  (a) i  (b) 2\/13  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - 3*s**2 + 309*s + 34. Is 4 a factor of k(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3913, 3910, 3905, 3898, 3889, 3878?\nAnswer: 3865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {d: 1, h: 4, w: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from beiddedbwged. Give prob of picking 1 g, 1 i, and 1 d.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -436 + 405.7. Let j = -30 - l. What is the biggest value in -0.1, 2\/15, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 6:27 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q\/(q**5\/q)))\/q**5*q**(1\/3)*q**6 assuming q is positive.\nAnswer: q**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-34)\/10 - (-3)\/(-2)*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 - 247*x**2 - 317*x + 501*x**2 - 255*x**2.\nAnswer: -x**2 - 317*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 1 = -2*t, m - 3*t = 2*m - 9. Suppose -17 = -c + m. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((-2 + sqrt(80) + 0)**2 + -2) - ((-3*sqrt(140)\/sqrt(4))\/sqrt(7) + sqrt(40)\/sqrt(32) + -3)**2.\nAnswer: -817\/4 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 79*f**2 + 20*f + 19. List the prime factors of q(4).\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.45 rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 295369, 1181435, 2658199, 4725661, 7383821?\nAnswer: 10632679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*g + g - 0*g. Let d(q) = 0*q**3 + 4*q + q**3 + 3*q**2 - 9*q + 0*q**2. Let b be d(-4). Solve -t = -g*t + h + 1, -b*t = -4*h + 20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-6))\/(15\/3)*-4*1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 117160 divided by -23432.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -488471480 rounded to the nearest one hundred thousand?\nAnswer: -488500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1255178 is divided by 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -145 - -179. What is the first derivative of 8*s**3 - v - 2*s**3 + s**2 - 8*s**3 - 45 wrt s?\nAnswer: -6*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3722 * -2.\nAnswer: 7444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.98 less than 173.936?\nAnswer: 172.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b - 5 + 5)*(0 - b**2 + 0) + 2*b**3 - 4*b**3 + 0*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2077, -2065, -2051, -2035, -2017, -1997?\nAnswer: -1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*y + 85 + 82 + 85 + 91*y**2 - 252 in the form j*y**2 + v + c*y and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, d: 1, r: 1, u: 3}. Give prob of sequence hdf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 238 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 38, 61?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 130 by 18.\nAnswer: 65\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((1216\/336)\/(-38))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 - k**2 - 4*k - 1. Let f = -5 + 2. Does 12 divide s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m**4 + 122116*m**3 + 488498*m**2 - 122116*m - 488496 = 0. Calculate m.\nAnswer: -4, -1, 1, 61062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 22\/12 + (-14)\/(-84). Suppose -4*l + j*l = -106. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 1 = 12. Calculate the remainder when 62 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -16, 5, -3, -1 in decreasing order.\nAnswer: 12, 5, -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2423\/84 + 248\/7. Find the common denominator of -40*4\/36*3 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from jhhhhhhhf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 613*q**2 + 6*q + 10. What is the tens digit of o(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 15, -2*f - 3*k - 6 = -1. Suppose 48 = -0*p + 4*p - 4*h, 0 = p - f*h - 28. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -238088 (base 10) to base 2.\nAnswer: -111010001000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1\/6, -15, 0.07, 4, 0 in ascending order.\nAnswer: -15, -3, -1\/6, 0, 0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-9 - -4 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 5*w + 7 - 9, 3*w - 2*o + 2 = 0. Which is smaller: 1\/147 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**4 - 215427*u**3 - 3867722481*u**2 - 11601228681*u.\nAnswer: -3*u*(u + 3)*(u + 35903)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1627336 and 600.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29211.\nAnswer: 3, 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14 - 16 + 12)*(-1 + 1 - 2*j**2) - 8*j**2 - 111*j + 216*j - 82*j to the form y + h*j**2 + g*j and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1182 + 1417. What is the remainder when b is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + -1 + 9 + -3 + 12 + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -13, -5, 0, -1\/34?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 8*y**3 - 2*y + 1. Let j be q(1). Factor 5*w - 9*w**2 + 10*w**2 - 4*w**2 + 5*w**3 - j*w**2.\nAnswer: 5*w*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a microsecond in nanoseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1281.465 and 186.\nAnswer: 238352.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 85744395*r**3 - 101*r**2 + 97743*r?\nAnswer: 514466370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (180\/(-105))\/((8\/(-4))\/(-28)*4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 + 2*s + 2. Let b be w(-3). What is the third derivative of 2*v**2 - 39*v**b + 39*v**5 + 2*v**6 wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86738740939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*o**3 - 30619036*o**2 - 42866682*o + 36742860 = 0.\nAnswer: -2, 3\/5, 3061905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 4*k**2 - 6*k + 12. Let y(h) = -2*h**2 + h - 2. Let p(u) = -m(u) - 6*y(u). Let a(d) = -d**2 - 9. What is p(a(j))?\nAnswer: 8*j**4 + 144*j**2 + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-414)\/(-1104))\/(1*3)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 153077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 4*j - 3 + 1 = 0, -4*j + 7 = y. Let q be ((-3)\/3)\/((-1)\/y). Suppose -6*k + n + 650 = -k, n = -q*k + 398. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 147 and 143325?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8096 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4484786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - 9. Is -1\/29 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38 * 4\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(-1) + 2*(-66)\/(-12). What is the hundreds digit of o\/5 - (-107 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-3) - 5785\/(-15). Let l = o + -168. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 14967, 15331, 15695?\n\"Answer: 364*h + 14603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2345023 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 17. Let p be 12\/w*6\/(-2). Suppose 0 = -p*x + 6*y - 4*y + 88, 5*x - 99 = -3*y. What is the greatest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 4, 5, 1, 2\/3, 25, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18 - -18. Suppose -12 + 12 = 2*o. Suppose -4*a + 3*g + 215 = o, z = 4*a - 5*g + g - 212. What is the highest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -636 + 658. Calculate the remainder when 79 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -92dd4 (base 16) to base 8\nAnswer: -2226724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 477 = 3*q, -84 = -3*u + 4*q + 211. Calculate the remainder when 4\/(12\/u) - -3 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2312354047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -46*c + 696. Calculate t(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -174767*k + 174767*k - 879*k**2.\nAnswer: -879*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-188 + 97 - -183) + -101?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 2:29 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-45)\/(-17)*(-53)\/159. Let z be 1*10\/15 - (-320)\/6. Let k = z + -55. Is d > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 + 8*o + 20. Let x be m(-2). Solve f + 5*y - 3 + 13 = x, f - 5*y = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0349 + 0.04196046801.\nAnswer: 0.07686046801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -487, -488, -489, -490, -491?\n\"Answer: -j - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*f**3 + 12643*f**2 + 1734239*f?\nAnswer: -90*f + 25286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 3192*d = -3195*d - 48, 2*q + 5*d + 80 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -107 + 136. Is (30 - m)*(4090 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b**3 + 11*b**3 + 5*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gpxqp. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 2737 + 396 = -5*o, -943 = -2*o + 3*u. Let t = 142 + o. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199 = -8*s - 175 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16497837 and 6966.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-12) + (-2507)\/(-92). Solve -y = -o + 30 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-20)\/12)\/((-5)\/3 - -2). What is the closest to -4 in -1, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 184 divided by 2\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8462 = -505*r + 9213 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 488*x - 94 = 1370 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1848434.15 and 8?\nAnswer: 1848442.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 244559089 to the power of 1\/3, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 - 2769*s + 5537. Let d be r(2). Suppose 0 = -4*t + 4 + 8. Solve -20 = 3*o + o, -21 = -d*j + t*o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-4) + 1265\/(-1012). Which is the nearest to 0.3?  (a) u  (b) -1\/2  (c) 1.3  (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(-8)\/r)*r**(1\/4)*r*r\/(r\/((r**(2\/9)*r)\/r))*r**(-1\/10)*r)**(-20\/13) assuming r is positive.\nAnswer: r**(-2227\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3317231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11450 and 1250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 64.313763 rounded to one decimal place?\nAnswer: 64.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3454*x**2 + 1723*x**2 + 1731*x**2 + 59494*x**3.\nAnswer: 59494*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41653091\/1794 - 23218. Let f = m - -41273\/19734. Calculate the common denominator of f and -55\/744.\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 41, 32, 21, 8, -7?\n\"Answer: -m**2 - 6*m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -1. Let t(d) = -2*d + 2. Let r(s) = t(s) + 2*v(s). Let y(h) = -4*h. Determine y(r(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 487 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, h: 1, r: 1}. Give prob of sequence hru.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -7, 46, -5, 2, 10, -10 in increasing order.\nAnswer: -10, -7, -5, -2, 2, 10, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/248 and 37\/12.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16c (base 14) to base 5.\nAnswer: -2132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*l - 5*h + 10, -13 = -3*l - 4*h. Suppose l*m - 5*c = 889, -4*m - 4*c + 1178 = -7*c. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2482616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.3667 - 1.9578. Let p = -3.69 - -0.29. Let b = p + k. Round b to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**12*j)\/j**19)**(-7\/3) assuming j is positive.\nAnswer: j**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/325974 and -155\/312?\nAnswer: 16950648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.15?  (a) 644  (b) -8  (c) -2  (d) 2\/7  (e) -3\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 63 = -20*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -8, 71*a - 864 = -2*k + 67*a. What is the greatest common factor of k and 1430?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 + 19*u - 16. Let y be l(18). Let c(j) = 2*j - 4. Let w be c(y). Suppose 2*o + w*a - 3*a = 601, 2*o + 5*a = 561. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, i: 2}. What is prob of picking 1 w and 1 i?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -56, -2\/7, 9, -53 in decreasing order.\nAnswer: 9, 6, -2\/7, -53, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 9:14 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 14785790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 2*(-2*(1*(sqrt(171) + (-2*sqrt(171) - sqrt(171)) + sqrt(171)) - sqrt(171)))\/(sqrt(72)\/((sqrt(200)\/sqrt(5))\/sqrt(5))) + 4.\nAnswer: 9 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 2  (c) -0.4  (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the third derivative of -u**7\/42 + 7*u**5\/60 + 4*u**2. Find the third derivative of x(g) wrt g.\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of 8*p**3\/3 - 2*p + 1. Let n be y(-2). Suppose 5*u - 2*c = 3*c, 2*u = -4*c - n. Sort u, 0, -4.\nAnswer: u, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001924 to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.5  (b) -2  (c) -34528  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -520*s + 28. Let p be h(-2). Suppose p = 3*i - x, 5*i - 2*x - x = 1780. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p*p*p**(1\/14)*p*p*p**(-3\/2))\/(p**16*p**(-37)))**(-10\/7) assuming p is positive.\nAnswer: p**(-1790\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 + 18. Suppose -78 = y*g - 5*g. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + (-63 - ((12 - 3) + -10 + 5 + -5))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -30187 + 102210. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**18\/q**(-14\/11))\/((q**(-2\/7)\/q)\/(q*q*q**(-5\/3)*q*q)) assuming q is positive.\nAnswer: q**(5288\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17620.5 - 17620. Put 22, 0.14, 4\/9, 3, z in decreasing order.\nAnswer: 22, 3, z, 4\/9, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 58193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 31170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) + 1)**2 + 2 + (sqrt(2) + sqrt(20)\/(sqrt(40)\/sqrt(4)) + sqrt(2))*-3.\nAnswer: 3*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-4))\/(4\/(-24))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6361 or 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0021571 to five decimal places.\nAnswer: 0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of k**4\/4 + 7*k**3\/3 + k + 12. Calculate c(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v + 4. Let h(o) = -4*o - 12. Let p(i) = 3*h(i) + 8*t(i). Let j be p(-5). Let g = j + -6. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 35, 1\/3, 13 in descending order.\nAnswer: 35, 13, 1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95546 = -1135*q + 239691 for q.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 169 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x\/(x\/(x**(9\/7)\/x)))**3\/(x**19*x*x**2))**(-6\/11) assuming x is positive.\nAnswer: x**(762\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-116)\/(-8) - 1\/(-2). Suppose -5*p + z = -2*p - 5*l, -4*p + 4*l + 12 = 0. Solve p = 2*q + 10, r - 4*q = 4*r + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -534*l + 3869 + 356 = -1649 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -27*b. Let v(a) = 10*a. What is v(u(h))?\nAnswer: -270*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 3698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5436\/19 + -286. Sort b, -3, 0.2.\nAnswer: -3, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of -y**4\/24 + 11*y**3\/6 - 2*y**2. Let h(o) = -o**3 + 16*o**2 - 15*o + 5. Let x be h(15). What is c(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1  (b) -0.1  (c) -2\/7  (d) 27  (e) 15\/4  (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5829287 is divided by 389.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 152368904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence scz when three letters picked without replacement from nsicz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 75*r**2\/2 - 153*r + 12 = 0.\nAnswer: 2\/25, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(2\/(-18))*-1*(-24249)\/509229.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24 - (-6 - 27)) + -1 + 0 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(833)*-1 + sqrt(17) + sqrt(153) + 1)*3)**2.\nAnswer: -54*sqrt(17) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 138904, 138900, 138878, 138826, 138732, 138584, 138370?\n\"Answer: -2*l**3 + 3*l**2 + l + 138902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*c**2 + 2*c - 3*c**2 + 3*c**2 to m*c + h*c**2 + a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17070*v**3 + 7*v - 4*v - 1614 - 4*v + 1614.\nAnswer: 17070*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 10*p - 1. Give s(7).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.09921169 to 4 dps.\nAnswer: -0.0992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1158331, 2316390, 3474447, 4632502?\n\"Answer: -n**2 + 1158062*n + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/3, -0.1, 22, -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - (-1785)\/(-890))*4. Is 1 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-26)\/(-39) - 2\/(-6). Let f be 8 + g\/(3\/(-6)). What is the highest common factor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 236207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + 819\/(-39) + 88\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 - 20*w**2 - 30*w + 3. Give b(-15).\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.271 + -1.771. Which is the closest to -1?  (a) -0.03  (b) -10\/9  (c) 0.3  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 531680 divided by -3.\nAnswer: -531680\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*o + 7*o**5 - 8*o**5 + 7*o**5 + 10*o**5 wrt o?\nAnswer: 320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 - 5. Let d = -23 - -70. Suppose 5*n - d - 110 = -4*l, 0 = a*n + 12. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*h - 207 = 157. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (-99 + -11)) + -193.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 152 = -2*x - 163, x + 3*y + 6 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 120*z**3 - 482*z**2 + 7*z + 7. Let v be l(4). Solve -5*m + 7*m - 1 = -v*h, -5 = 2*m + h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 16191215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -78725.6882 to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**3 + 226*d**2 - 2*d - 226. Determine p(-113).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -x**5 + 363459*x**4 + x**2 - 29169838*x wrt x?\nAnswer: -20*x**3 + 4361508*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((sqrt(77) - (sqrt(77) + sqrt(77)*2 + sqrt(77)))*1 + sqrt(77) - sqrt(77))\/(sqrt(1331) - ((3*sqrt(1331) - sqrt(1331)) + sqrt(1331))) + 2).\nAnswer: -6 - 9*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57869 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -72167\/12 - -6020. Let j = 88\/111 + 4873\/1554. Calculate the common denominator of j and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/11  (b) 617  (c) 34861\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*q + 2*f = 22, 249*q - 251*q - 22 = 2*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -3*f**2 + 1. Let a be t(-1). Let i = -2 - a. Suppose -3*m - 6 = -3*u, -3*u + 10 = -u - 5*m. Solve -5*z + u*k = -5*k + 15, -4*k = i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3ad (base 16) to base 13\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, q: 1, u: 1, z: 2, n: 1, c: 1}. Give prob of sequence nznu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6, -5, 0.4, -2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-14)\/(-8) - (0 - (-6)\/8). Let l be (-4 - 0)*(-13 - -4) + q. Let u = 90 - l. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 185140, 185180, 185232, 185302, 185396?\nAnswer: 185520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/7 + 86\/7. Let z(n) = -n**2 + 13*n + 27. What is the remainder when 115 is divided by z(t)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 139*g**3*q**2 + g**3*q*x - g**3 + 2*g**2*q*x - g**2*q + 38*g**2 - 2*g*q*x - 3300*g*q - 104048*q**2*x wrt q?\nAnswer: 278*g**3 - 208096*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzp when three letters picked without replacement from {z: 7, p: 2, l: 9}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + p + 16 = -3*p, -2*p = -v + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-4*1 + 3645\/915). Suppose -56*t + a*t - 1900 = 0. What are the prime factors of t?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*s**2*y**2 - 4138752*s**2*y - 39*s*y**3 - 2370*y**3 wrt y?\nAnswer: 14*s**2 - 234*s*y - 14220*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -182 and -137091.\nAnswer: -137273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1977 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 - 11*m + 10. Let x be d(10). Suppose n = -4*n + 20, -2*f - 5*n + 198 = x. Suppose 2*w - f = 9. Calculate the greatest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00018177 rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5170050 in -1, -2, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 128589125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g**2 + 3*g**2 + 51*g**3 - 2*g**2.\nAnswer: 51*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-27)*90\/40)\/(22\/(-12)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (q + q + 0*q + (3 + 29 - 7)*(2*q - q + q) - q + 3 - 3)*(2 - 5 + 2) in the form v + o*q and give o.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/108*-9*4*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111111101010010011 (base 2) to base 11.\nAnswer: -168a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 2) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 15*g**2 + 9*g**2 + 10*g**2)*(0 + 4 - 5)*(-7 - 3*g + 7)*(-11*g - 13 + 13).\nAnswer: -132*g**4 - 66*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5695, -23017, -52069, -93001, -145963?\nAnswer: -211105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 61 = 53. Which is smaller: q or -0.01?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 1 = 3. Let s = -3 - -5. Let -u - n - 1\/4*n**s = 0. Calculate n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sstfuyfd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 11890, 25794, 39698?\n\"Answer: 13904*y - 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20603?\nAnswer: 11, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -141, -139, -137?\n\"Answer: 2*f - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -68816 by 748.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2591 + 2615.78. Let n = -25 + i. Let d = n - -0.2199948. Round d to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/7, -5\/4, 0.1, -0.1, -28 in descending order.\nAnswer: 3\/7, 0.1, -0.1, -5\/4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1341288310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2278, -1, -2 in ascending order.\nAnswer: -2278, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17071107 is divided by 2401.\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 178716771 divided by 3?\nAnswer: 59572257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/192 and 25543\/(-492)*(-2)\/7.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/2)*z)**(-5)\/((z\/z**(-4))\/z**(-1\/6)) assuming z is positive.\nAnswer: z**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9867.921mg to kilograms.\nAnswer: 0.009867921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/16 > -153225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 64642*u**4*v**3 + 10*u**4 + 956*u**2*v**2 - u**2 - 14*u*v**3 - 3*u*v**2 wrt u?\nAnswer: 1551408*u*v**3 + 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 172582236 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10536986 is divided by 5268476?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*p**2 - 21*p**2 + 76*p**2.\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 4*d**2 + 4*d - 2. Let n be h(-2). Find the third derivative of 24*b**6 + 258*b**2 - 247*b**2 - 4*b**n wrt b.\nAnswer: 2400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.093149 times -43?\nAnswer: 4.005407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*k + 67*k = 14124. List the prime factors of k.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6136, 6137, 6138, 6139, 6140?\n\"Answer: w + 6135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122*b = 137*b - 135 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-35)\/(-5)*(-14)\/((-112)\/40).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 + 4*w**2 + 10*w - 13. Let m be l(5). Suppose 0 = 3*b + 29 - 47. Let o be b\/(-8) + 477\/m. Round o to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1897644804 to the power of 1\/4, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/2011009 and 95\/196.\nAnswer: 8044036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31.83 + 32. Let x = -0.1700022 + b. Round x to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 330767*z**2 + 11115*z - 21.\nAnswer: 661534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-3)*((82824\/7)\/(-58))\/(10*1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 165, 119, 45, -51, -163?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f. Let o(k) = 52361489*k. Give o(r(d)).\nAnswer: -104722978*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14720 = 41*j - j. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -4*c. Let q be (c + 3)*(-1)\/3. Let k be 11\/4 + q\/(-4). Sort -1, k, -3 in increasing order.\nAnswer: -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*j**2\/5 - 1962*j\/5 + 1188.\nAnswer: -6*(j - 3)*(j + 330)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/1879 or -1113?\nAnswer: -1113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, e: 4}. Give prob of sequence ecc.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 4*z - 9786, z - 4*n + 7333 = 4*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -450, 0.\nAnswer: -450, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.946 + 0.054. Sort -2, g, 0.1 in decreasing order.\nAnswer: g, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 5451386*k + 11. Let h be r(-8). Let d = -23793808 - h. Let x = -28717269 + d. Round x to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 63*l + 5600 = 157*l for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand t**5 - t**5 - 2*t**5 + (3*t**5 + 2*t**5 - 4*t**5)*(-2 - 4 + 4) + 2*t**5 - t**3 + t**3 - 4*t**5 + 2*t**5 + t**5 - 2*t**5 + 118*t - 3*t**5 - 115*t.\nAnswer: -8*t**5 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 23. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 4*r - 12 - 0, 0 = 2*s + r - 9. Suppose 2*f - 16 = -2*y, 0 = 2*f - 5*y - 9 + 28. Solve f = s*j - 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - (-34 - -24 - -17) - (-109 - -1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*g - 11. Suppose 3*w = -r + 715, g*w = -0*w - 2*r + 1190. Suppose -4*s - 171 = d, -d - 3*d = -5*s - w. What is s rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-4)\/(60\/81))*(-474)\/280450*-142?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.02 - -0.02. Let z = k - -9. Let w = 3.46 - 0.46. Which is the nearest to 1?  (a) w  (b) 0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 8 = 5*m. Solve k = -4*u + 4, -m*k = u - 2*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l*l\/l**(-16)*l*l**(-20)*((l\/((l*l**7\/l)\/l))\/l)**(1\/57) assuming l is positive.\nAnswer: l**(-2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 867244380 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 2 = 0, i - 4 = -g - 0. Suppose -q = 3*q - 16. Suppose i*c = 5*t - 13, 2*t + q = 2*c + 10. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 36409472 to the power of 1\/2, to the nearest integer?\nAnswer: 6034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 34692*d*f + 487610*d + 314*f + 3 wrt f.\nAnswer: 34692*d + 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.113 + -102.\nAnswer: -101.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105 - 105 + 15*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(16\/(-4))*23\/2346*18\/3.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*1*sqrt(77) + sqrt(77))*-6)\/(sqrt(21)\/((2*sqrt(24))\/sqrt(8) - sqrt(3))).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*t = -31*t + 46 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.21?  (a) -8\/3  (b) 3  (c) 0.4  (d) -3  (e) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from muuefmumfmfffnfe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2011519331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + 2*(6 - 2). What is the third derivative of -2*t**6 + t + 13934*t**4 - d*t**2 - 13896*t**4 - 33*t**2 wrt t?\nAnswer: -240*t**3 + 912*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -26564 - 4607?\nAnswer: -32272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (36\/(-1305))\/((-2)\/5). Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 21*k**2 + 7. Let f(t) = 2*t - 1. What is the remainder when g(0) is divided by f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 351*l - 333 - 6687 = 0 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of -14*j**2 + 0 + 8\/15*j**6 + 0*j**3 + 0*j**4 + 22*j + 0*j**5. Differentiate p(f) wrt f.\nAnswer: 64*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/5)*c)\/(c*c*c\/(c*c*(c**(-3)\/c)\/c)*c)*c\/c**(2\/3)*c*c*(c\/((c*c\/((c\/(c*c**13))\/c))\/c))\/c*c assuming c is positive.\nAnswer: c**(-262\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 636\/530*20\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**1\/d*d)**(2\/11) assuming d is positive.\nAnswer: d**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3978, -2704, -640, 2220, 5882, 10352?\nAnswer: 15636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22427174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 24*j - 84 + 84. Let w(s) = s. Determine w(q(u)).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 3200001*r - 2. Let v(y) = 7*y**2 - 2*y + 1. Let w be v(1). Let k = 8 - w. Let l be g(k). Round l to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -341, -3, -0.5.\nAnswer: -341, -8, -3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 111719 divided by -2.\nAnswer: -111719\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6\/439 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/37674 and 19\/7.\nAnswer: 37674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l + 11. Let z be v(-8). Let w = 7 + z. Solve -5*r - w = -1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 13, 3, -3, -366, -1, 1 in decreasing order.\nAnswer: 13, 12, 3, 1, -1, -3, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -3. Suppose -a*j + b = -13, -5*j + 22 = -5*b - 3. Suppose 0 - 2\/7*u**3 + 2\/7*u**j + 0*u = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2897*h + 1458*h + 1452*h.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(((sqrt(180) - (0 + -1*sqrt(180)) - sqrt(180) - sqrt(180)) + (sqrt(180) + -2)*5 - (-2 + sqrt(180)*1)*1) + -4))**2.\nAnswer: -5184*sqrt(5) + 27216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 50*w**3 - 4*w**2 - 223*w - 7. Let o(v) = 25*v**3 - 2*v**2 - 111*v - 4. Let f(i) = 4*b(i) - 7*o(i). Find the second derivative of f(q) wrt q.\nAnswer: 150*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 124, 1, 21, 4, 194, 0.\nAnswer: -5, 0, 1, 4, 21, 124, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*j**2 + 65*j**2 - 18*j**2 + 127*j**3 - 23*j**2.\nAnswer: 127*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 1504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -3*y + 4*y - 3, 5*y + 10 = 0. Let p = -45 + 43. What is the nearest to p in 2\/3, k, -10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106932*g + 106929*g - 75 = 0, 0*g - 210 = -17*v + 7*g - 2*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1482040 and 3950?\nAnswer: 7410200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v + 7*v**2 - 2*v + 5*v**2 as w*v + b*v**2 + x and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 1, -0.2, 2, 222 in increasing order.\nAnswer: -0.2, -0.1, 1, 2, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5.91 - -6.01. Which is the closest to i?  (a) 2  (b) -6  (c) 3  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.289 * -0.3\nAnswer: 0.0867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 17*x - 38 = 21*x + 52, 7*f + 4*x = -6 - 64 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -44*o**2*p**2*r + 14132*o**2*r**2 - 6*o**2*r - o*p**2*r**3 - 6*o*p**2*r wrt r.\nAnswer: 28264*o**2 - 6*o*p**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -11*d**2 + 51*d + 26. Let r be q(5). Let z(b) = -b**3 + 3. Let g be z(0). Let n be 8 - 8 - (-1 + 6). Sort r, g, n in ascending order.\nAnswer: n, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 + -10. Solve t*o = -o - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -102 - -103. Let k(s) = q - 2*s + s - 7*s + 4*s. Give k(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8 - -2)\/(5 - 8). What is the first derivative of 10 - 20*v**3 - g*v**3 + 4*v**3 - 3 wrt v?\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*g**2 + 42*g**2 - 2*g**2 - 25*g**2 - 7*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m - 8. Let k be u(-6). Suppose 4*d = -8, -4*t + k*d = -9 - 19. Solve -4*g + 8*n = 3*n + 45, -t*n + 5 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -71420*l**2 - 76044*l wrt l.\nAnswer: -142840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 divided by 41?\nAnswer: 13\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 7*k**2 + 2*k - 4. Let w(p) = -p. Let u(o) = m(o) - 5*w(o). Let x(g) = g**2 - 7. Let j(q) = 6*q + 39. Let f(b) = j(b) + 6*x(b). Give 5*f(i) - 4*u(i).\nAnswer: 2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*l + 0)*(-4*l - l**3 + 4*l) + 3*l**4 + 0*l**4 + 2*l**4.\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 27 = 125. Suppose 62 = 2*j + j - 4*r, -r - f = -j. Solve 4*m - 2*o + 0*o = -j, -3*m - 10 = -o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140374 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13844 - 2052.\nAnswer: 11792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -8213, -11523, -14835, -18149, -21465, -24783, -28103?\n\"Answer: -k**2 - 3307*k - 4905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 234587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3005, -6011, -9015, -12017, -15017, -18015?\nAnswer: -21011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 3*t - 245 = t, -4 = -4*t. What is the second derivative of 249*i**3 - 29*i - 6*i**4 - b*i**3 wrt i?\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 25*b + 21*b - 45*b - 1. Give g(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 3 = -2*r. Suppose -3*h + 9 = 5*a, -r = -2*h - 3*a + 3. Sort 4, -2, h in decreasing order.\nAnswer: 4, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*a + 5*a**2 - 13*a - 4*a**2 + 8*a to g + t*a + r*a**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1749389, 1749412, 1749481, 1749620, 1749853, 1750204?\nAnswer: 1750697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1336596010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5494621\/90 + 61052. Calculate the common denominator of q and -53\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/125199576 and 115\/186.\nAnswer: 125199576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - 6*v - 8. Let p be b(-5). Let z = -137 + p. Suppose -2*a = -0*a - 4. What is the remainder when z is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**13*j)\/(((j*j**0)\/j)\/j))\/(j**(-1\/4)*j**2) assuming j is positive.\nAnswer: j**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 14*l - 17*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 594294.4 micrograms?\nAnswer: 0.0005942944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + k - 30 = 0, 3*k - 13 + 53 = 4*w. Solve -23 = -5*q - 4*l, 6*q + 2*l - w = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -722950600497 and 1.2.\nAnswer: -722950600495.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 356 = 250. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138*j = -3*i - 0*i - 296 + 542, 3*j + 3*i + 24 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-616901)\/(-2469240) - (-2)\/(-8). Let w = t + -3507327409\/382732200. Let v = w - 2\/775. Calculate the common denominator of 31 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 7 = 299. List the prime factors of x.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10011 (base 2) in base 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40164.\nAnswer: 2, 3, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 24009 - 8250. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/18?  (a) -2\/7  (b) 3  (c) -0.1  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 22220 (base 3) to base 16\nAnswer: f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/5077 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (43568\/1148 - 24) + 4\/82*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -691*m + 24. Is n(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 511 - 508. Solve g*z = 2*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + -4 + 4 + 171\/(-72). What is the closest to -97 in 0.5, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b - 48?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 + 24*f - 13. Let d be (9 + -6)\/(4 - (-178)\/(-46)). Let z be j(d). Solve -2*x - 2*x = -20, 5*y + z = -3*x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/168*(-272)\/(-119).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/6 - 780359*t**2 - 913441033680*t - 5480636837776\/3.\nAnswer: -(t + 2)*(t + 2341076)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2048 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 31111644.71 to the nearest one hundred thousand.\nAnswer: 31100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*d - 2130 + 1314 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1289 plus 5?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -82\/20475 and -83\/6279?\nAnswer: 470925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -317955433.9999898 + 317955530. Let t = 96.18 - 0.18. Let u = t - b. What is u rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2397.314 decades in months?\nAnswer: 287677.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24 + -10. Let g = z + -10. Suppose g*i = 52 - 8. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.83 + -4.4. Let k = v - 2.53. Let p = 2.4 + k. Which is the nearest to p?  (a) -5  (b) -1\/2  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 5) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 + 6*j**2 - 6. What is i(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-50)\/20*(-20)\/275.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -4311304\nAnswer: 862260.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4151.404 seconds to nanoseconds.\nAnswer: 4151404000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 457875 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/2 - (351\/(-6))\/3 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34 - (-22 - -22) - (-4 - (-2 + 5))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 208762, 208803, 208860, 208921, 208974, 209007, 209008, 208965?\nAnswer: 208866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 8 = -j. Suppose z + 227 = j*o - 159, 4 = -4*z. Suppose 5*v - 135 = 3*i + 4, 3*v - o = 5*i. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ztz when three letters picked without replacement from {z: 2, t: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-8\/11))**(-1\/4) assuming h is positive.\nAnswer: h**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100121 + -12?\nAnswer: -100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48599614?\nAnswer: 2, 7, 107, 32443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-10) - 192\/30. Let k(m) = m + 10. Let p be k(g). What is the greatest common divisor of p and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-45)\/(-6) - (-6)\/12. Let x(i) = 11*i**2 - 10*i + 35. Let w be x(4). Suppose g*p = -p + w. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6516 and 9252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j**3 + 33*j**2 - 16*j - 17. Calculate v(16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 11853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + (3 - 1) - -1. Suppose 2*l + 95 = 5*s + 3*l, c*s = 2*l + 26. What is the lowest common multiple of s and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19 and -19.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3)*i*i)\/i*i\/(i*(i**(-2\/5)*i)\/i*i)*(i**(-2\/13)*i*i)\/i*i**6 assuming i is positive.\nAnswer: i**(276\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 5887.2 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/3  (b) -0.1  (c) 3  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**3)**(-2\/21)*(g*g\/g**5)**(3\/8))**(-7\/4) assuming g is positive.\nAnswer: g**(79\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 11*b**3 - 2*b**2 + 2*b - 1. Let u be s(1). Let y = -45.916 + 46. Let g = y + -0.284. Sort g, u, 3 in descending order.\nAnswer: u, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-47)\/(-2) - 0 - (-48)\/(-32). Calculate the highest common divisor of n and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - 88bb27a?\nAnswer: -88bb27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1867988092 to the nearest integer?\nAnswer: 43220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -2*f - 42. Let o be c(-21). Let j(y) = -7*y + 197. List the prime factors of j(o).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-6)\/(-9) - (11 - 12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -171 - -47. Let j = u - -129. Suppose -5*d = 2 + 3. Which is the third biggest value?  (a) -2\/15  (b) j  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v\/((v\/(v*v\/v**(-21)))\/v)))\/v)\/(v**(-7)*v)*(v**(-2)\/v)**(-1\/49))**(-50) assuming v is positive.\nAnswer: v**(43950\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -137 + 137 + 7*z**5 + 15*z + 2*z**5 - 15*z + (2*z**2 + 0*z**2 - 4*z**2)*(1 - 1 + 2*z**3) + (-2*z**2 + 2 - 2)*(3*z + 3*z - 3*z)*(0*z + 2*z**2 + 0*z).\nAnswer: -7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1342\/131 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 115179755*w + 12781762.\nAnswer: 115179755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15.6 + 15.0995. Let q = 0.5 + d. What is q rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 8 = -15*n + 18*n, u = n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = t - 177, -2*n = 67*t - 71*t + 688. Let k(z) = z**2 + 9*z - 17. Let p be k(-12). What is the greatest common divisor of t and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7900777.94526995 - 7900817.17. Let a = q - -38.22473. Let i = a + 1. What is i rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5716\/(-10)*-5*1\/(-11). Let l = g + 260. Solve 8\/11 + 10\/11*t**2 - l*t**3 - 16\/11*t = 0 for t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7 and -204.\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/129076 and 71\/488.\nAnswer: 258152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4825359 by -121.\nAnswer: -39879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5*48\/3640 - 2\/14. Which is the closest to -1?  (a) -4  (b) r  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36421.\nAnswer: 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 2.4.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 1882174300 to the nearest 1000000.\nAnswer: 1882000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 g when three letters picked without replacement from mgmmmggggggmmgmmmg?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 37  (b) -341  (c) 1\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 344  (b) 2\/3  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.17?  (a) -3  (b) -0.786  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1670.7 rounded to the nearest ten?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1398441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1691*z**2 + 3392*z**2 - 1687*z**2.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.2927062 millennia?\nAnswer: 29.27062","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6862, -13728, -20594, -27460, -34326, -41192?\n\"Answer: -6866*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 4*p + 4. Let o(i) be the third derivative of 7*i**4\/24 + 7*i**3\/6 - 8*i**2. What is 10*h(j) - 6*o(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 3 - 1)*(-2*w - 2*w + 6*w) - 8*w + 9*w + 2 + 0.\nAnswer: 19*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-5\/3))**(-6\/25)\/(z**(2\/21)*(z*z**(3\/7))\/z) assuming z is positive.\nAnswer: z**(-13\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jwjj. Give prob of sequence jwj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 440 + -440. Let m be 7\/(-4) + 12\/(-48). Which is the closest to 0?  (a) -0.2  (b) m  (c) u  (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -969\/313?\nAnswer: -969\/313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3.68 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*(t*t**(-4))\/t*t\/t**(1\/14))\/(t**(1\/4)*t*(t\/(((t*t**(-1\/5)*t*t)\/t)\/t*t))\/t*t))\/((t**0)**(-4)\/(t**(-1)\/t)**1) assuming t is positive.\nAnswer: t**(-633\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 50*p - 4693. Give a(89).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 69015.348s in hours?\nAnswer: 19.17093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t - 1. Let r be 2\/2*(4 + -5). Let w(z) = 233*z**2 + 5 + 2*z - 459*z**2 + 225*z**2 + 4*z - 7. Calculate r*w(u) + 4*y(u).\nAnswer: u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 1 + 2. Let f(k) = k**3 - 8*k**2 + 15*k - 1. What is the remainder when f(7) is divided by r\/3*0 + 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4*v = -178, -8*x + 4*x - 3*v + 312 = 0. Calculate the remainder when x is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vututttuttuuvtumtt. Give prob of picking 1 t, 1 u, and 1 m.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -3*i - 4*d + 1564, 4*i - 1246 = 2*d. What is the greatest common factor of 39 and i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 25, -1731, 0.3, -0.236 in descending order.\nAnswer: 25, 0.3, -0.236, -2\/3, -1731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2060 and 84460?\nAnswer: 84460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1669*d**3*l - 3*d**2*l - 2*d*l - 15*l - 4 wrt d?\nAnswer: 10014*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*v**5\/13 + 11946*v**4\/13 + 89806*v**3\/13 + 41916*v**2\/13 = 0. What is v?\nAnswer: -7, -1\/2, 0, 2994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/(-4) + 1 - 8. Is (-936)\/q + 4\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -301477*v**3 + 5277*v**3 + 18205*v**3.\nAnswer: -277995*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 - ((-4 - (-10 - 4)) + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*l - 25*l + 74328 = 0. List the prime factors of l.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3377044903?\nAnswer: 3377044903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1912*g - 972*g + 228*g)*(2 + 2 - 6).\nAnswer: 5312*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11.16729 and 0.23?\nAnswer: 2.5684767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 6*g. Let f(v) = 7*v. Let u(o) = -4*f(o) + 5*t(o). Let p(w) = 413 - 820 + 24*w + 407. Calculate p(u(l)).\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -35570000 to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130*q - 3570 = -40*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 3158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*s**2 + 234 - 234 + (0*s + s - 2*s)*(-4*s + 0*s + 6*s))*(5*s**3 - 3*s**3 - s**3) + 3*s**5 - 2*s**5 - 4*s**5.\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = 8*k + 7141855 - 7141833, 0 = -5*k + 6*s - 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in ten ninths of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13481 and 8?\nAnswer: 107848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-5))\/w**5)\/(((w**(-6)*w)\/w)\/(w\/(w\/(w\/w**(-1\/2))))) assuming w is positive.\nAnswer: w**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -7*c**2 + 2*c + 4. Let t(x) = -10*x**2 + 3*x + 6. Determine 8*r(l) - 5*t(l).\nAnswer: -6*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/((-9)\/(-2)) - 1. Let u be ((-18)\/81 + 69\/(-54) + 2)*0. Which is the closest to u?  (a) y  (b) -11  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qngrinqnggzn. Give prob of picking 1 q, 1 n, and 2 g.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*j + j + 2*j)*(0*j**2 + j**2 + 2*j**2) + 2*j**2 + 2 + 146*j**3 + 21*j - 375*j**3 + 216*j**3 in the form u*j + t + v*j**3 + l*j**2 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 378261844 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 1152*z**4\/13 + 2208*z**3\/13 + 74*z**2 - 92*z\/13 + 2\/13 = 0.\nAnswer: -1, 1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -0.2, 5, 0.32, -69?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/36*10*-2*3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 150*u - 22*u = -86*u - 21*u. Solve u = -p + 8 - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-8)*(-2 + 1). Let q = -9.8 + 7.8. Which is the nearest to -1?  (a) 5  (b) z  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.0232 - -0.1768. What is the closest to n in -3\/5, -1\/11, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -267 by -1.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20.6 - -14.5. Let n = 6 + o. Which is bigger: 0.03 or n?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -2*f**3\/9 + 175384*f**2\/9 - 350750*f\/3 + 175372 = 0.\nAnswer: 3, 87686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 634 + -634.000000203. What is x rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 2, -3, 1513, -2 in increasing order.\nAnswer: -5, -3, -2, 2, 3, 1513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 10902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 19143247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 551 (base 11) to base 2\nAnswer: 1010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 431.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 5*k + 17, 5*k = -5*j + 40 + 55. Let y(w) = -5*w. Let x be y(-1). Suppose x*q - 39 = 256. Calculate the remainder when q is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1462313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1435 + -2642. Let k = r - -27767\/23. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2574 = 4*y - 2*y, v - 2*y - 651 = 0. What is the first derivative of -2 + 2*u - 2*u + v*u**4 - 614*u**4 wrt u?\nAnswer: 108*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 92 = 2*z, -2*v + 7*z - 2*z = -54. Calculate the highest common factor of 352 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1018 is divided by 721.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 351 + -348. Sort -38, q, 0.2, 4 in descending order.\nAnswer: 4, q, 0.2, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -55  (b) -7  (c) -3  (d) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 46047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 36491 by 73.\nAnswer: 36491\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 142, 584, 1306, 2296, 3542, 5032, 6754, 8696?\nAnswer: 10846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16674890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/15*33\/(-22)*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120542432 (base 6) to base 3.\nAnswer: -11022001021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33136\/190)\/109*-50.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, d: 7, j: 1, z: 2}. What is prob of sequence dq?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -556*r - 8720*r + 3139*r - 7684*r.\nAnswer: -13821*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**3 + 2304*o**2 + 9132*o - 11440.\nAnswer: 4*(o - 1)*(o + 5)*(o + 572)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5420439.\nAnswer: 3, 66919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -295.9*-0.3.\nAnswer: 88.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 351 - 217. Let u = d - 101. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 121048.\nAnswer: 2, 15131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (2 + -10 - (-6 + -7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4873812576 - -2?\nAnswer: -4873812574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.945444 days in weeks?\nAnswer: 8.706492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1592 = -3*c - 127. Let w = c + 993. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/8 in 53\/3, -0.2, 3, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of -338*r**3\/3 + 3789*r - 6107. What is the derivative of t(g) wrt g?\nAnswer: -676*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 992, 1103, 1214, 1325, 1436, 1547?\n\"Answer: 111*l + 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - (-54)\/(-10)) + 4. What is the closest to b in 0.5, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14926177.\nAnswer: 7, 2132311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7353801, 14707498, 22061185, 29414856, 36768505, 44122126, 51475713?\nAnswer: 58829260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from -799.4582.\nAnswer: -804.4582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -1989, -5247, -9781, -15579, -22629?\nAnswer: -30919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 623*a**6 - 148*a**2 + 1 wrt a.\nAnswer: 74760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6073702631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**3 + 6*z**3 + z**3)*(9 + 14*z - 16*z - 23) - z - 2*z**4 - 2*z + 5*z.\nAnswer: -10*z**4 - 56*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.08213959 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -18*j**3 - 3*j**2 + 459*j + 4923. What are the prime factors of g(-11)?\nAnswer: 3, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62475\/12 - 58\/232.\nAnswer: 2, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21 + 21. Let o(c) = c + 1. Let g be o(0). Let r be (2 + 3)*1 - g. Solve 3*b - 22 = -r*a, -b + 6 = -v*b + a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30 + 30. Let a = 2 - -2. Suppose r - a = -q*r. Solve 0 = u + 2*w - r + 9, -2*w - 11 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l**(-26))*l**1)**42 assuming l is positive.\nAnswer: l**1134","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*j - 5*j - 37*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 475 = s. What is the greatest common factor of s and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 > 2\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9513 + 9509. Let g = 0 - 0. Let a be (g - 1) + 21\/15. What is the nearest to m in a, -4, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 14*o**3 - 8*o**2 - 38*o - 8. Let l(m) be the first derivative of -9*m**4\/4 + 5*m**3\/3 + 25*m**2\/2 + 5*m - 56. What is -8*l(y) - 5*r(y)?\nAnswer: 2*y**3 - 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1615455 divided by -1.\nAnswer: 1615455","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 3*c + 28. Let v(x) = x + 7. Let w(k) = 2*n(k) - 9*v(k). What is the smallest common multiple of w(-5) and 1 + (-13*1)\/(-1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0\/(-1))\/(4 - 2). Let y = j + 16. Let q be ((-12)\/(-5))\/(15\/100). What is the greatest common divisor of y and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of -5*t**4\/8 + 2*t**3\/3 + 16*t**2 + 2*t. Let f(d) = -20*d**2. Determine f(z(c)).\nAnswer: -4500*c**2 + 2400*c - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 306 + 0*t + 3*t**3 + 2*t - 305 + t**4 in the form k*t**2 + r*t**3 + a + v*t**4 + f*t and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 330 and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*((-1399)\/2 - 0\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -688.14 - -688. Which is the closest to 2\/3?  (a) 1\/4  (b) w  (c) 0.1  (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(1331) + sqrt(1331))**2 + 1)*-3 + -3.\nAnswer: -15981 + 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 9*s - 8. Let h be 2\/(-10) - 102\/15. Let w be d(h). Let n = w + -3. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4174 + (-9 - -49)\/(-8))*(-6)\/21. What is the highest common divisor of 4577 and f?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 132 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -5*v, 0*v + 3*v = -2*h - 4. What is the remainder when (-22)\/(1 + (-2 - 1)) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -3*u**2 + 4*u**2 - u - 3*u**2 - 3. Is 23 a factor of q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.04862143804 + -0.4.\nAnswer: -0.44862143804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (104\/(-1716)*88)\/8.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 2*p. Let t(a) be the second derivative of -a**4\/12 - 2*a. Let h(x) = 5*x**2 - x**2 - 3*x**2. Let c(u) = -2*h(u) - 5*t(u). What is f(c(j))?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76 + r - 3*r - r - 71 + 6 + 2.\nAnswer: -3*r + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 + 11. Suppose j = -w - q*w + 269, 5*j + 107 = 2*w. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f**3\/7 - 564*f**2\/7 - 26508*f\/7 - 415292\/7 = 0 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 4*x = 140, -6*x = 4*p - 2*x - 172. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 853649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -1 - (4 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a\/(a*a**(-4)*a)))\/a)**(-44)*((a\/(a**(-7)\/a)*a)\/a)\/(a*a**(11\/2)))**(-49) assuming a is positive.\nAnswer: a**(-13181\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 55.6 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 23\/5 - 12\/(-30). Let o(c) = -c + 1. Let y be o(i). Sort y, -10, -5 in descending order.\nAnswer: y, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -691837, -1383672, -2075507, -2767342, -3459177?\nAnswer: -4151012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 66844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -593*m**5 + 206*m**2 wrt m.\nAnswer: -35580*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**2 - h - 3. Let v be c(0). Sort -6, v, -4 in decreasing order.\nAnswer: v, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1595000 rounded to the nearest ten thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 3*y + 1 = -4, 6358*w - 3*y - 110 = 6339*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112035 is divided by 1143.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 26052387 or 26052386?\nAnswer: 26052386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2653 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 47.27359364 to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 4:12 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a70a (base 15) in base 6?\nAnswer: 1501544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 5*c**2 - 85*c + 150 = 0.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kb when two letters picked without replacement from vvblkgvvvb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -3*b + 2. Let a be u(-2). Suppose 22 = -3*g - a. What is the remainder when 47\/7 - g\/35 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, t: 1, f: 5, b: 1}. Give prob of sequence ybty.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**(3\/2)\/q*q)*q)\/(q\/(q\/(q\/((q\/(q\/(q**0\/q*q)*q*q))\/q)))))\/(q**(-5\/9)*q*q\/(q**(-11)*q)) assuming q is positive.\nAnswer: q**(-269\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.397 in -5\/2, 2, -1.633, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 61 and 1396229?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 106 - 84. Suppose 0 = -15*w + h*w - 3738. List the prime factors of w.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*j = 4670 - 40721 - 7894. What is the greatest common factor of 110 and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 103156 and 98605?\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q + q**2 + 7*q**2 - 2*q**2 + (0*q + 4*q - 2*q)*(-4*q + 5*q - 3*q).\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 11*r**4\/4 - 171*r**3\/4 - 455*r**2\/2 - 342*r - 160 = 0.\nAnswer: -2, -16\/11, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-20) + (4 - 118\/24)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -6673, -26665, -59979, -106609, -166549, -239793, -326335, -426169?\n\"Answer: i**3 - 6667*i**2 + 2*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 24*k - 4. Suppose n - 5*g = -6 + 11, 0 = -n - g + 5. Let w be a(n). What is the highest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = 4, 0 = o - 3277*a + 3278*a - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, x: 4, u: 1, n: 3}. What is prob of sequence tnun?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of a**6\/120 - 7*a**4\/24 - a**3\/3 + 4*a. Let n(s) be the second derivative of u(s). What is the derivative of n(h) wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 20 + 92 = 0. Let f = 153 + w. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssff when four letters picked without replacement from {f: 3, i: 3, s: 10, w: 4}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 9269503.1 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.0215+827.75\nAnswer: 827.7715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/16 and 101\/256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -7691531201 to the nearest 100000.\nAnswer: -7691500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27940 = -2204*f + 712 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4788.818km to micrometers.\nAnswer: 4788818000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 56626 (base 9) in base 10?\nAnswer: 37689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5 and 248225.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 923 = 3*u, -76*a + 74*a - 4*u = -364. Suppose 3*t = 2*p + 390 - 158, 0 = 5*t - 10. Let f = a + p. List the prime factors of f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2906876.\nAnswer: 2, 7, 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8\/273 - -10\/39. Let c = 0.1 - 17.1. Let o = c - -17.4. What is the closest to 0.1 in o, 1\/5, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 3*q - 5*r + 9, -71 = 5*q - 4*r. Let m = q - -79\/7. Suppose 0 = 7*j - 4*j - 3. What is the second biggest value in m, -5, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/(-2))\/(1\/10). Let s(c) = 0*c**3 - 2*c**3 + 3 + 0*c**3 + 3*c + 3*c**3 + 5*c**2. Find the common denominator of s(a) and 67\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1060930459?\nAnswer: 167, 6352877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 96 - (-8 - (-45 - (-3 - 13)))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -467\/14 - -67\/2. Let z(a) be the second derivative of -1\/7*a**3 + c*a**2 + 2*a + 0 - 2\/21*a**4. Factor z(j).\nAnswer: -2*(j + 1)*(4*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ldlddldg. What is prob of picking 2 l?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 67 + -63. Suppose -5*j = 2*g - 4*g - 6, 4*j = l*g. Is (2 + (-9)\/3)*(-2062)\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 209163123 to the nearest integer?\nAnswer: 14462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a - -1c?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 941 + 377. Suppose -3*p + 5*u + h = -47, 5*p - 2*u - 360 = 0. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ijjiwjjijjjjjwjijjww. Give prob of sequence jwi.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.902391 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 - 10*j + 12. Let n be d(-9). Let x = n - -19. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.3778045 to two dps.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 838972?\nAnswer: 2, 209743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 91381542 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -8*b**3 - 5*b**2 + 6*b. Let m(d) = 4*d**3 + 2*d**2 - 3*d. Determine 5*m(g) + 2*t(g).\nAnswer: 4*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -1, 0.06, -627, 203?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + r - 61 - 15 = 0, 147*y - 4*r - 966 = -3759 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -246264.53 to the nearest one thousand.\nAnswer: -246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 PM and 3:05 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f - 1. Let b(l) = l - 2. Calculate -4*b(d) + 3*i(d).\nAnswer: 2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1407003\/52 + (-12)\/16. Suppose -48*a = 4257 - f. List the prime factors of a.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 4*q + 3*q - 3)*(-5*q - 5*q + 4*q) to w*q + j + v*q**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 116 in 9, -25\/43, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/8*(-6)\/(-1)*(-10)\/(-15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the second derivative of -k**3\/3 + k**2\/2 - 3*k. Let c be f(1). Let v be (-5)\/20*c*2. Which is smaller: v or 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - 2*p - 20. Let a be i(6). Let g = 4841 + -3256. Suppose a*y = -y + g. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.48612 rounded to three dps?\nAnswer: 0.486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.010153 + 0.01468. What is c rounded to 4 dps?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttx when three letters picked without replacement from xxxxtxtxxtt.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + 6, 4*d = p + 2*d - 6. Suppose 3*w - 3 = -w - v, p = w + 4*v + 18. Let z = 2 + w. What is the greatest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 49 + -35. Do 15 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2 + 8*s - 5. Let w be (-12)\/(-21) + 248\/56. What is c(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*u - 14*u - 24. Let y(j) = 0 + j + j - 4. Calculate y(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4894.84 years?\nAnswer: 58738.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) + -4)*3 + -2.\nAnswer: -14 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 385743 and 267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from {h: 1, b: 1, r: 2, d: 1, s: 1, x: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -32, -79, -158, -269, -412, -587?\n\"Answer: -16*s**2 + s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllleelelleeleeele. Give prob of sequence ell.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7*(-1)\/210*(-6 - 0). Which is smaller: 2\/53 or g?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4103232 take away 2172.14?\nAnswer: -4105404.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99)\/sqrt(36) - sqrt(11)) + 4.\nAnswer: -sqrt(11)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1493, -1471, -1431, -1367, -1273, -1143?\n\"Answer: q**3 + 3*q**2 + 6*q - 1503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10629780 divided by 15.\nAnswer: -708652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 2, -46, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 + -6 + 2 + 60 + -44?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - p, 4*v - 6 = v - p. Suppose -2*h = -7*h - u + 343, 4*h + v*u = 270. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -29, -45?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4\/7)\/u**(-1))\/(u\/(u*u*u\/(u\/(u**(1\/5)\/u))))**(3\/17) assuming u is positive.\nAnswer: u**(276\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 8189, 8476, 8763, 9050, 9337, 9624?\n\"Answer: 287*w + 7902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 - 7 = -2*q, 5*z = -5*q + 365. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28282 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-14)*(18\/(-8))\/(213\/(-994))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c - 2*c + 16*c - 9*c. Let o(g) = g. Determine o(u(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*l - 43*l + 71*l = -22*l + 9306 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 269422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of -2 - 6*c - 2*c**3 + 9\/4*c**4 - 21\/2*c**2. Factor x(v).\nAnswer: 3*(v - 2)*(v + 1)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/(4 - 3))\/(2\/(-827000)). What is t rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of -8*b**2 + 8*b - 13. Let h be n(-3). What is the highest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1444, 5690, 12766, 22672, 35408?\n\"Answer: 1415*o**2 + o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 + 7 - 3)*(-1 - 1 + 3)*(2*f**4 - 2*f + 2*f) - 14*f**4 + 213*f**2 - 3*f**4 - 215*f**2.\nAnswer: -37*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -1  (c) 24  (d) 0.3  (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = -w + 79. Let t be (-15)\/(-9) - w*295\/(-585). Which is the fourth smallest value?  (a) 12  (b) t  (c) -2  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 3 = f. Let d be 22 + 1 + 3*f. What is the greatest common divisor of d and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**3\/7 - 5434*q**2 + 5508576*q\/7 - 198681984\/7 = 0. Calculate q.\nAnswer: -19163, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 48675132 divided by -12168783\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 910 and 336?\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -d + 3*d - 28, 36 = -2*v + 4*d. Let y = -579 + 576. Sort v, y, -7 in decreasing order.\nAnswer: y, -7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 904 and 29660240?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(7\/6))\/(6\/3)*1080\/81?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - 0. Let l = x - -0.1. Let i = -0.27 - -3.27. Which is bigger: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3157574230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1025 (base 10) to base 5\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -0*i - 5*i. Let l(u) = u**2 - 5*u + 2. Let o be l(i). Sort 2\/7, o, 1\/5 in descending order.\nAnswer: 2\/7, 1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**5 + 36*f**4 + 218*f**3 + 504*f**2 + 392*f.\nAnswer: 2*f*(f + 2)**2*(f + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3836638*u**4 - 550*u**2 - 1313?\nAnswer: 92079312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*o - 1554*p + 3116*p - 1557*p + 47, -2*o - 122*p = 1338 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 27 and 63.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 18\/(-40) + (-3)\/(-3). Let w = 4\/5 - l. Factor -1\/2*z**2 + w*z**5 + z**4 - 1\/2 - 5\/4*z + z**3.\nAnswer: (z - 1)*(z + 1)**3*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55728851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 746 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-595)\/(-10) - 2\/(-4). Suppose -3*v + z = 2*v + 5*x, 5*x = -2*v + 12. Suppose 4 - v = 2*y. Let w(o) = o**2 + 6*o - 6. What is w(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - -9 - (-2 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18882 divided by 9441.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1.24928 + 20\nAnswer: 21.24928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 - -11.2. Let a = -0.05 + 2.05. What is the nearest to -1 in q, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 3*f = 98, 0*f - 184 = -2*u - 3*f. Let x = u + -47. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + 4 - (0 + 5 + -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2752.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20 + -18. Solve 0*q - q = i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 25\/4 + (-16)\/64. Solve 0 = 3*j - 5*j + i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 5*o + 4*g + 44, -4*o - 2*g + 122 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21 + 2*p**2 - 31 + 22 - 2*p to k + c*p**2 + i*p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2507478*h + 1968168?\nAnswer: 2507478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -273 - -274. Let a(v) = 2*v**2 + 2*v. Let w(l) = 31*l**2 + 36*l + 3. Let n(t) = b*w(t) - 6*a(t). Find the second derivative of n(r) wrt r.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12c5b2 (base 16) to base 13.\nAnswer: -340c83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/(-3) - 6)\/((-7)\/3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -27*j**2 + 2*j - 481. Let n(m) = -47*m**2 + 10*m - 961. Let s(l) = -2*n(l) + 5*t(l). What is the first derivative of s(z) wrt z?\nAnswer: -82*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w = 389 + 151. Let c = w + -60. What is the derivative of c*p**3 - 22 + p**3 - 2*p**3 wrt p?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 - 3*g**2 + 5*g - 2. Let c be (-4)\/(1\/(-2)*-2). Let o be t(c). What is the units digit of (-2 - 4)\/(4\/o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1738 = 33*r - 2189. Solve -119 = -7*o - r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = -33*a - 8*a + 39 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16*g**3*i**3*q**2 + 10*g**3*i**3*q*r**2 - 16*g**3*q**2*r**2 - g**3*q*r**2 + 12*g**2*i*q*r**2 + g*i**2*q*r**2 - 2*g*r wrt q?\nAnswer: 32*g**3*i**3 - 32*g**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/32 + (-673941)\/(-24) + -8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -30*r + 26*r**3 - 20*r**3 - 10*r**3 wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 183\/25502?  (a) 0.01  (b) 4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 2*w - 8 + 43, 0 = -4*j + 4*w + 160. Suppose 5*h - 5 = j. Let i be (-126)\/(-35) + 4\/h. Solve 6*m - i*m = 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1223772*c - 1224842*c + 92020 for c.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + -228b?\nAnswer: -228a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 154, 307, 456, 601, 742, 879, 1012?\nAnswer: 1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22 - 0) + -19 - (4 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 7, a: 1, v: 4, u: 1}. What is prob of sequence uw?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -7*k**3 + 2*k**2 + 2*k + 1. Let l be 4\/6 - 8\/3. Does 14 divide w(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103*w - 1543 - 33336 = 17239. Is w less than -506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*o**4 + 81*o**3 + 615*o**2 wrt o?\nAnswer: -168*o + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p. Let l(h) be the second derivative of h**3\/2 + 7*h**2\/2 + 191*h. Let m(n) = 3*n + 4. Let w(d) = 7*l(d) - 6*m(d). Calculate w(s(y)).\nAnswer: -3*y + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 5*l + 2, -5*q - 3*l = -0 - 8. Let f be ((-2)\/q)\/2*-4. Suppose 6 = 5*u - 2*t - 4, 0 = -f*u + 3*t + 1. Solve w - 25 = -u*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + -13589237?\nAnswer: -13589240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/((l**(-2\/5)\/l)\/l)*l**(-2\/15))**45 assuming l is positive.\nAnswer: l**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 + -6. Suppose 8 = 4*j - i. Suppose j*v = 18 + 68. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56 divided by -28\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/48 - 2\/32?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, 15, 0.1, 1\/91198 in decreasing order.\nAnswer: 15, 5, 4, 0.1, 1\/91198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 184, 3\/5, -11 in decreasing order.\nAnswer: 184, 3\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.6  (b) -0.4  (c) 1\/4  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 224 is divided by 135?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-2\/3))**45\/(i**(-1))**(-15))\/((i*i**(1\/4))**(-20\/7)*i*i**(2\/13)*(i**(-2)\/i)\/i) assuming i is positive.\nAnswer: i**(584\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1121810)\/(-6) - 1\/3. Let s be 2\/(-6) - 387285\/9. Let o = s - w. Round o to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z and 1 c when four letters picked without replacement from {c: 1, z: 4, f: 2, x: 2, b: 6}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 76621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*z**4 + 1 + 17*z**2 - 29*z**4 - 32*z**4 - 54*z**2 wrt z?\nAnswer: -1200*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/110*20\/(-4). Let i = -9.8 - -64.8. Let q = i + -55.2. What is the nearest to 0 in q, n, 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of s**5\/40 + s**4\/12 - 5*s**3\/12 - 3*s**2\/2 - 36*s + 33. Let r(b) be the first derivative of y(b). Factor r(w).\nAnswer: (w - 2)*(w + 1)*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159117.\nAnswer: 3, 7, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158161 is divided by 4059.\nAnswer: 3919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -144*p. Let r(h) = 13*h. Let g(f) = -4*j(f) - 45*r(f). Let u(x) = -2*x. Give g(u(y)).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v - 42. Let c(x) = 3*x + 52. Let k(p) = -3*c(p) - 4*u(p). Let b be 0 + -3 - (2 - 13)*1. Determine k(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34 and 168096?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 3*v - 16, q + v = 3*q - 12. Suppose -i = q*g - 18, 2*i - g = 3*g. Is 11 a factor of 198\/27*i\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -139  (b) -0.5  (c) 0.5  (d) 2  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -979*q + 484*q + 486*q - 77 = -5*n, -n + q = -q - 16 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a second in milliseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*p**6*y + 12858424*p**3*y**2 + 762*p**2*y**2 + p*y**2 + 6301*y**2 - 7 wrt p?\nAnswer: 1080*p**3*y + 77150544*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) + sqrt(80) + sqrt(80) + -5 + sqrt(80) + 0 + sqrt(80) - (sqrt(80) - sqrt(80)*-5*4))**2.\nAnswer: 640*sqrt(5) + 20505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 728633.\nAnswer: 281, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 78 and -2605?\nAnswer: 2683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2 from -0.11794333872842.\nAnswer: 1.88205666127158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 2*b = 11, 36*j - 38*j + 10 = 4*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2090663476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -8, -1051, -2.\nAnswer: -1051, -8, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -10, -40 in descending order.\nAnswer: -5, -10, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the first derivative of t**3\/3 + 8*t + 42. Let p = 23 - 15. Suppose 2*a - 2*v - p = 0, 5*v + 5 = -15. Give s(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*q + 25*q - 2457. Suppose 0 = 2*l - 2*k - 87 - 15, -4*l = k - q. What is the remainder when l is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, o: 2, l: 12, d: 2}. Give prob of sequence ld.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, 154, 0.4, -1, 8884, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (33\/(-3) + -1)\/((-884)\/1122238)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**2 + 22*j - 4*j**2 + 18*j.\nAnswer: -2*j**2 + 40*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-2 + 2*sqrt(13))**2 + sqrt(468)*2 + sqrt(468).\nAnswer: 10*sqrt(13) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 217 times 0.4\nAnswer: 86.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1222289*h**3 + 1312*h**2 + 154*h.\nAnswer: -7333734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27 + 14. Let f = x + 15. Suppose 2*y = -4, -f*i - 4*y - 54 = -162. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*u + 16 + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-6 - -9) + 2 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of o**4 + 122848*o**3 + 367*o**2 + 213*o wrt o?\nAnswer: 24*o + 737088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -g - k - 7, 4*g - 12 = -0*g + 4*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1329.8 + -1330. Sort l, -1\/4, -0.023 in increasing order.\nAnswer: -1\/4, l, -0.023","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/5 + 60\/25. Suppose n*h - 5*h + 28 = 0. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*d**3*o**2 - 17*d*o**2 - 378*o**2 wrt d.\nAnswer: -6*d**2*o**2 - 17*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - -3. Let f(p) = p**3 - 4*p**2 + p + 2. Let m be f(u). Suppose -h + m*h = 100. What is the remainder when h is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(3) + (sqrt(3) + 1 - sqrt(3)) + sqrt(3))**2 + -1 + -1).\nAnswer: -55 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 8*p = -2. Suppose -p*w - 5*z + 542 = 0, -2*w - 3*z = -0*z - 550. What are the prime factors of w?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 321959 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -141*b**2 + 1288*b - 1. Give c(9).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 444 and 120?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -59) + -238 + 146\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*m = 10*m - 105 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (12\/9)\/(((-11)\/(-143))\/((-23)\/((-2691)\/(-54))))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*r + 85 - 15 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1062053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5 + 1*sqrt(99) + sqrt(99) + sqrt(99)*-6*-6)*3.\nAnswer: -15 + 342*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*i + 95 - 1213 = 0. What is the smallest common multiple of 204 and i?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 248*u - 245*u - 21. What is the common denominator of (310\/105*u)\/(16\/18) and 81\/26 + 1 + -1?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 5*h - 492. Let w be (-4)\/3*(407\/(-22))\/(3\/9). Let u = h - w. Calculate the highest common factor of u and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9467974 litres in millilitres?\nAnswer: 946.7974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -345929?\nAnswer: -345928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/1*3\/(-126)*-3\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 53 + 43 = 0. Solve m = -5*b, -3*y = -2*y + b - 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2966, -4, 10, -20, 14.\nAnswer: -2966, -20, -4, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(81)\/(sqrt(3) - sqrt(48))*2.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*p - 2839 + 510 = 0. Suppose 125*z = p*z - 36. Solve 4*u + v - 22 = 0, 2*u - u - z*v = -1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 103.1299989898 - 103.13. What is k rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -221202012 (base 3) to base 15\nAnswer: -5865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27134 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 3 + -1)*(-6 + 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 478 and 26?\nAnswer: 6214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -22*q + 84. Let f(h) = -12. What is 8*f(y) + x(y)?\nAnswer: -22*y - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4 + 1)*(-1)\/6. Let n = 175 - 175.1. Suppose 6 = -4*v - 18. Which is the nearest to f?  (a) v  (b) n  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -6*t + 3*t + 116758, -t + 38952 = 5*x. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-263)\/(-7) + (-12)\/21. Suppose 4*t + 5 = h - j, h - 18 = -4*t. What is the common denominator of 57\/32 and (354\/h)\/(-5 - -1)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 7:42 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-65)\/(-13)*(-209)\/(-110)*4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2\/29, 21, 0?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -222\/5 bigger than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 1357*f - 138878 = 1358*f, -555512 = -4*p + 2*f. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1))**(-29))**(2\/17) assuming g is positive.\nAnswer: g**(58\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 273980\/(-9013942)*(-3)\/((-30)\/28).\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*n - 91*n - 3080 = 0. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2 - 2283303*j - 2283306.\nAnswer: 3*(j - 761102)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = 4*d + 6. Suppose t = -t - 4*m + 18, -2*t - d*m = -14. Suppose n = -3, n + 14 = 4*o - t. Solve o*x = 2*y - 2, -4*y + 2*y = 5*x - 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, m: 1, p: 1, y: 1, n: 4, a: 4}. What is prob of sequence mca?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 150 and 159042.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*u + 3*q - 219, -15147 = -u + 2*q - 15122 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*s - 49*s = 224. Is 27 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -397*j**2 - 496*j?\nAnswer: -794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/30)\/(-7) - ((-24)\/(-600) + 395\/4500).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54549861.\nAnswer: 3, 229, 271, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6917, 13825, 20735, 27647, 34561, 41477?\nAnswer: 48395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -7*g**3 - 4*g**2 + 12*g - 13. Let t be n(-7). Let m = -2093 + t. Factor -12*s + m*s**2 + 12\/5.\nAnswer: 3*(5*s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 206.85549 seconds?\nAnswer: 3.4475915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 + 31. Which is the closest to 1?  (a) 5  (b) -4  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 502 = -41*j + 4274. Calculate the greatest common divisor of j and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25061390 rounded to the nearest 10000?\nAnswer: 25060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**3\/3 - 182*t**2 + 2*t\/3 + 182.\nAnswer: -2*(t - 1)*(t + 1)*(t + 273)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k - k**3 - 11440 + k - 4*k.\nAnswer: -k**3 - 11440","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*(-1)\/(-1) - 4\/(-12). Which is the third smallest value?  (a) w  (b) -0.04  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1065183\/40 + 26623. Let r = 259\/20 + g. Calculate the common denominator of r and (-20)\/(-8)*53\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 457.2319km to meters.\nAnswer: 457231.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1210221000 (base 3) to base 13.\nAnswer: 13308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 5 + 17 - 22 - 3*b. Let o(k) = 16*k. Give m(o(t)).\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 139*i - 156*i**4 - 68*i - 71*i + (-2*i**2 - i**2 + 4*i**2)*(3*i**2 + i**2 - i**2) in the form k*i + o*i**2 + a*i**3 + s + p*i**4 and give p.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23123230023 - -22?\nAnswer: 23123230111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 3*z + 653, 3*z - 2*i + 617 = 2*i. Round z to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11124 - 441?\nAnswer: -12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 37 + 80 = 5*k, 75 = 3*k + 3*x. Calculate the greatest common divisor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.0624 - -23.3624. Is h smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 12:06 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (36\/(-15))\/(6\/(-20)). Let m be ((-8)\/(-2))\/(r\/76). Let q = m - 3. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -983231, -983145, -983059?\nAnswer: -982973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 3*r - 10639 = 0, -4571 - 6072 = -5*u + r. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 4626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15031\/9 - 1673. Find the common denominator of u and -77\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {d: 3, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + 6*s - 6. Let w be x(4). Let t be -25*(-2 - (-9)\/5). What is the highest common divisor of w and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, l: 12}. Give prob of sequence ffll.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1962 - 1447 + 175)*(8*t**3 + 0*t**3 - 9*t**3).\nAnswer: 3234*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 40 = -5*x, -3*d - 20 = 5*x - 2*d. Suppose 12*k = 7*k - 45. Let z = x - k. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*v = -177*v + 9221 + 1167 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 210624511985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*g**4 - 3*g**2 - g + 2905?\nAnswer: 20*g**3 - 6*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -2*i - 385298, 4*i = -30 - 6. What is f rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -44, -60, -76, -92?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*f + 681 = -607. Let z be (f\/7)\/(-24) - (-497)\/3. Calculate the greatest common divisor of z and 415.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.437 and 6.\nAnswer: 6.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1575 - 1575.0003266. Round t to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 456, 1544, 3264, 5616, 8600?\n\"Answer: 316*i**2 + 140*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3204600 to the nearest ten thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 - 12)\/(-4) + 0 + 1. Suppose -19 = x*n + 11. Which is smaller: -17\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (24\/28)\/(-6*(-3)\/84). Suppose 7*a - o*a - 24 = 0. Solve -v + a = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -324.4 - -325. Is j at most -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6722 - -11.16.\nAnswer: 6733.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 - -4)\/(-3 + 2 - -2). Suppose 0 = -c + 4*u + 8, -c + 3 = -2*u + i. Sort 2, 5, c in ascending order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 140888 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 275 (base 14) to base 7.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 121271071 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1054806149.\nAnswer: 241, 4376789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + m + 5. Calculate c(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -611 - -609. Sort -8, -13, i in descending order.\nAnswer: i, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 + 4*r + 2. Let h be o(-12). Let s = h + 283. Let z = s - 81. Solve -n - z = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d + 1. Let c(i) = -8*i - 1. Let o(r) = c(r) + 5*v(r). What is the units digit of o(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of -n**4\/24 + 11*n**3\/3 + 2*n**2 + 292*n. Determine y(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1664 or 65?\nAnswer: 1664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 12103.689 months?\nAnswer: 1008.64075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 2, -3, -64.\nAnswer: -64, -14, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 - 6. Suppose -601 = 5*p + 4*r, -x*p + 0*p - 4*r - 250 = 0. Let m = 471\/4 + p. What is the third biggest value in 0.2, 4, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -714.943 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0010034 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 130*o + 129*o - 17 = 0, 5*h + 5*o = 35. Let t(i) be the first derivative of -1\/2*i**h - 2\/3*i**3 + i**2 + 2*i - 7. Factor t(a).\nAnswer: -2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 6, -3*o = -6*o + f + 18. Suppose -5*m - o*s = 5 - 20, -s = 0. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {z: 3, f: 4, x: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8090.3 - -8091. Let r = 2 - 2.5. Sort r, -4\/3, w.\nAnswer: -4\/3, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/(-4))\/(-8)*4\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 16 + 0 = 0. Suppose -p*d - 5*g + 30 = 0, -d - 23 = -6*d + g. Sort 2, d, -3.\nAnswer: -3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 312703473*i + 785289557 wrt i?\nAnswer: 312703473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 376910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + (-13 - -37 - (-45 - -48)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5306, 18794, 40516, 70478, 108686, 155146, 209864, 272846?\nAnswer: 344098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*k + 119 = 2*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x**3 + 1396294*x**2 - 69819602*x + 68423306 = 0 for x.\nAnswer: -698197, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 - 26*b**2 - 61*b + 973. Determine v(27).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2097757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 - 6*g**2 + 5*g + 4. Let m be d(5). Differentiate 0*r**m - r**4 + 15 - 12 wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 3*q - 6, 0 = 2*q - q - c - 2. Suppose -2*a - 4 = -4*t, -q*t + 28 = -5*a - t. What is the tens digit of -1*3\/(a\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42.614 rounded to 0 decimal places?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1132834323?\nAnswer: 3, 71, 5318471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/45021 and -13\/21.\nAnswer: 315147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 2 = -2*w + 3*w, -w + 2 = -5*r. Let l be (-5)\/20 + w\/8. Solve l = -4*z - 3 + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1933542 - -5?\nAnswer: 1933547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 AM and 11:30 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (1\/18)\/(20\/90)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 355199 + -3.\nAnswer: 355196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - (0 - 3))\/(-1). Let m(a) = 335 + a - 9*a**3 + 2*a**2 - 335 - 10*a**3. Calculate the remainder when 58 is divided by m(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 23, 1, -0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10*(24\/6)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 891?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - 6. Let c = 1279 + -1255. Suppose 25*z + c = 33*z. Sort z, -1, a.\nAnswer: -1, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*c + 8. Suppose 0*g - c*g + 26 = t, 2*g = 5*t - 113. Suppose -2*n - 54 = -0*x - 4*x, x - 15 = n. What is the remainder when t is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*x + 1 - 28 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 16 = -4*w, -5*y + 217 = -3*w. Let t = y + -25. Let k(p) = 3*p - 19. What are the prime factors of k(t)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 9) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007782 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -82\/63 and 83\/1022.\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -42 + 60. Suppose q - 10 = -3*s - 0*s, v = 2*s - 5*q. Solve 2*j = -s*a + 18, 14 + 7 = 4*a + 5*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 6*w - 165. Suppose -j - 4*j + w = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 4*a**3 + 29*a**2 + 18*a + 74. What is v(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 4*t - 5 = 0. Let b be 3\/t - (-110)\/25. Suppose -b*s + 207 = -2*u, -6*s + s - 5*u + 200 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24431512 (base 6) to base 8\nAnswer: 2767104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4653030 and 8385.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000011 + -10001001010?\nAnswer: -1111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1374093 and 0.038225203.\nAnswer: -1374092.961774797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19041*c**3 - 19010*c**3 + 56981*c**3 - 18999*c**3.\nAnswer: -69*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*n**3*x**2 - n**3*x + 2271*n**2*x**2 + 406*n**2 - 11*n*x wrt x.\nAnswer: -10*n**3 + 4542*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 + 20 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**5 - 3*k + 3*k + (-k**2 - 4*k**2 + 3*k**2)*(6*k**3 - 2 + 60 - 5*k**3).\nAnswer: -3*k**5 - 116*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 90209.93 centuries in millennia?\nAnswer: 9020.993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of -9*b**4 + 40*b**3 + 46*b**2 + 16*b + 255. Let g(l) = 0. Calculate l.\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 + 57*t**2 - 233*t - 266. List the prime factors of x(-42).\nAnswer: 2, 5, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*i**3 - 112*i + 112*i.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (45 - (-48 + 198)) + 55?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8231 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33\/((-660)\/(-32))*-10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -58958*r**2*x**4 - 913*r**2 + 2*x**2 - 4 wrt x.\nAnswer: -1414992*r**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-4 + 0 + -2*sqrt(275))*-4 + 0 + sqrt(275)*2 + 4 + sqrt(275) + sqrt(275) + 2*2*sqrt(275))*4)**2.\nAnswer: 51200*sqrt(11) + 1132800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 236203 - 146335 + 286162 = -12130*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -0.1, -3\/4, 3\/6592, 66?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (45\/6)\/(4\/(22*-4)). Let b = 174 + r. What is the remainder when 89 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 13*u. Let t(i) = 20*i. Let y(d) = 5*t(d) - 8*w(d). Let p(g) = -9*g**2. Give p(y(r)).\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 346 and 2.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cxxeruz. Give prob of sequence xe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 66 - 95 = -4*d, 0 = -5*d + o + 225. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of 0 - 11\/6*h**3 + 0*h + 1\/12*h**4 + 14*h**2 + 1\/12*h**5. List the prime factors of v(4).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3\/3 + 614*f**2 + 18602*f\/3 + 5586.\nAnswer: -2*(f - 931)*(f + 1)*(f + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = 2*z + 12, 0 = 2*l - 33*z + 32*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 5*m - 35 - 5, 5*p + 4*m = 5. Let f be ((-12)\/(-8))\/(p\/(-4)). Let u be ((-1)\/f)\/((-5)\/2). Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 8 + -2 - (2 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/9)\/((-384)\/2304). Sort 37, 4\/3, j, 0.5, 4 in ascending order.\nAnswer: 0.5, j, 4\/3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -2) + -17 + 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 63*k - 60*k + 15. Let q(t) = 2 + 7*t - t - 4 - 7*t. What is q(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from alaallaaaaelaaaleele. What is prob of picking 1 a and 3 l?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a - 13. Let i be n(-3). Which is smaller: i or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3031.929t in micrograms?\nAnswer: 3031929000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 4:34 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 10, 4\/5 in decreasing order.\nAnswer: 10, 5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 1 = -q + 3, -2 = -2*m - 3*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-20)\/6)\/((-4)\/6). Let m = -99 + 96. Sort m, r, 3.\nAnswer: m, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + -ccf398?\nAnswer: -ccf39c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 5*r**2 + r. Let k(p) = -p**3 - 3*p**2 + p. Let c be ((-2)\/4)\/((-1)\/2). Suppose c = -j - 2. Let g(s) = j*i(s) + 5*k(s). Factor g(m).\nAnswer: -2*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2 - 2 - 41*n**2. Let v(p) be the second derivative of p**5\/60 - 407*p**2\/2 - 8*p + 6. Let j(u) be the first derivative of v(u). Calculate j(f(i)).\nAnswer: 1681*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-225)\/10*(-2208)\/8640\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50*22*(-5)\/(-660)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 593*r - 1648. Let h be o(9). Calculate the highest common divisor of h and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 6 = 85*z - 83*z, 4*d - 3*z = -14. Is 7784\/35 + d\/5 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 2*m = -92, 2*i - 87 = -i - 3*m. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6365117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3958 by 516.\nAnswer: -1979\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**2 - 2*z - 12. Let m be s(4). Suppose 4*l = -8, m*t + 5*l - 41 = 9*t. Solve -g - 5 = g + 3*r, -r + t = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 76\/3051 and -29\/93677.\nAnswer: 2529279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.3  (b) -2\/15  (c) 2  (d) 425\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 13 and -78 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 5. Let j = -5 + 9. Are u and j non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -1353*i + 6769. Let y be c(5). Solve 0*k + y*k - 12 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5494 - 2975. Calculate the greatest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 - 6*w**2 + 3*w - 1. What is the remainder when l(7) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -146\nAnswer: -5\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-34))\/((-351)\/39*(56\/(-63))\/4)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28987 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of c**4 + 1928*c**3 + 9*c**2 - 5*c + 9019713.\nAnswer: 4*c**3 + 5784*c**2 + 18*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 - 29 + 16)*(22*g**2 + 21*g**2 - 61*g**2).\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 58882 + 2333. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 842665?\nAnswer: 5, 168533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -4699420 times -0.19\nAnswer: 892889.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/c**7))\/c*c*c\/(c*c**(-2)*c*c)*c*(c\/(c*c**(-5\/3)))\/c*c**(-4)\/c assuming c is positive.\nAnswer: c**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-4)*i*i*i**(-1))\/(i**1\/i)**20)\/(((i\/(i*i\/(i\/i**(-4)))*i)\/i**(-1\/2))\/((i**5\/i)\/(i\/(i*(i\/i**0*i)\/i)))) assuming i is positive.\nAnswer: i**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u + 4. Let z be 17\/3 + (-1)\/(-3). Suppose -3*i = -z*i + 75. Suppose r = -4*r - i. Give h(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 3 h when four letters picked without replacement from lttuhhtuhtqt?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 333 and 612.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6 + 333?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(2*(sqrt(637) + -3 + sqrt(637))*-6)**2.\nAnswer: -60480*sqrt(13) + 1841040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 406006203?\nAnswer: 3, 83, 1630547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 - (3 + -1 + -7). Suppose -1680 = -3*f - t, -68 + 615 = f - y*t. Is f 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 1272, 2498, 3740, 5010, 6320?\n\"Answer: 2*b**3 - 4*b**2 + 1224*b + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 140\/(-175) + 0\/(-2). What is the nearest to -1 in 5, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81044.36cm to meters.\nAnswer: 810.4436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 0.06, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -10*1\/2*-1. Solve -5*k = -10*k + v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 38 and 11666?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 11.67  (c) 1\/6  (d) 0  (e) 0.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 257137303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 - 55*y**2 + 157*y - 55. What is h(52)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 8:38 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that r**2\/5 + 163*r\/5 - 164\/5 = 0.\nAnswer: -164, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (2 + (sqrt(11) + 1)*3 - (sqrt(11) - (sqrt(11) + sqrt(55)\/sqrt(5))*1)*4)**2.\nAnswer: 70*sqrt(11) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 6*k - 2*k - 311, 5*d + 1479 = k. Let n = 428 + d. Let i = 9 + 10. What is the highest common divisor of n and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -195 - -192. Let i(y) = -y**3 + 3*y**2 - 6*y + 34. Let b(j) = 3*j**2 - 4*j + 33. Let o(m) = u*b(m) + 2*i(m). What is the first derivative of o(q) wrt q?\nAnswer: -6*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -514\/9 - -46768\/819. Which is the second smallest value?  (a) 12  (b) 1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3605*o - 204961 + 2*o**2 + 204961 as w*o**2 + n*o + f and give n.\nAnswer: -3605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k + 6*k + 0*k + 58*k + 11 - 11 + (0*k - k + 2*k)*(0 - 2 + 0).\nAnswer: 59*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 56 = -74. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2 - 7*w - 2. Let o be 1\/(9\/36)*(-10)\/(-8). Let t(y) = 6*y. Give o*t(r) + 4*c(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/(v\/v**(1\/3)))*v**(-4))\/(v*v\/(v*v**0)*v*v)**6 assuming v is positive.\nAnswer: v**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -7*x. Let m(k) be the third derivative of k**5\/30 - 8*k**2. What is m(v(z))?\nAnswer: 98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of n**4\/4 - n**2. Let b(f) = -f. Let a be (-6)\/(-8) - (-39)\/12. Suppose a*q - 2*q = 28. Determine q*b(u) + 2*m(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 118456, 118887, 119318, 119749, 120180, 120611?\nAnswer: 121042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 475309*d**2 + 2*d - 800516 wrt d.\nAnswer: 950618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*j - 47744*j**2 + 95457*j**2 - 47709*j**2 - 16 to m*j**2 + g + t*j and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 2*f - 40. Let z = f + -13. Sort z, -4, 2.\nAnswer: -4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 10662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 3 g when four letters picked without replacement from {a: 2, v: 2, u: 3, i: 7, g: 4}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1293834823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 PM and 9:05 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 4665.871 nanograms?\nAnswer: 0.000004665871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 6*t - 3*t. Let z = t - -12. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 AM and 10:32 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2201598 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -54*f**2 - 9*f - 13. Let u be a(-5). Let m = u - -8429. Is m 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 3406 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40\/15)\/((-28)\/36*6\/21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 - b**2 - b + 2. Suppose -22 + 7 = 5*y. Let j(f) = -2*f - 4. Let v be j(y). Let w be u(v). Solve -5*c + w*h = h + 20, 0 = -h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86 + 39 - 262891*v**3 + 47 + 262892*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/2 - (1 - 9). Suppose -2*s - 22 = -3*f, s - x*s - 21 = f. Solve 0 = -f*i - 3*c - 3, 4 = -2*i - 4*c - 0*c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/(10\/(-60)*((-1782)\/176)\/9).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/9  (b) -2\/5  (c) -2\/15  (d) -2\/7  (e) -0.0612\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 3*c - 4078 = w, 5*w + 2*c = 10214. Suppose -7*i + 9*i = w. Let y = -626 + i. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2*t. Let g = 7 - -1. Suppose -4*f + 2*v = -20, g*f - 34 = 4*f - 5*v. Give z(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-32)\/((g\/(g*g**21))\/g*g) assuming g is positive.\nAnswer: g**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 10*g**2 - g + 1. Let j be k(1). Suppose -2*s + j = -0. Suppose -2*i - 19 = -5*y, 3*i + s = y - 4. Solve -f + 3 = 2*f + 5*m, 0 = 5*f - y*m + 29 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c - -260?\nAnswer: 26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 122171.\nAnswer: 7, 31, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 943513.3 and 2.\nAnswer: 1887026.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -47 + -20. Suppose t - 9 = 102. Let r = t + s. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 - (-15)\/(-10))*(-16)\/3. Let c(g) = -11*g + 19. Let s(t) = -7*t + 13. Let l(z) = -5*c(z) + 8*s(z). Give l(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36 (base 14) to base 5\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/9, 3302, 4.8, 27?\nAnswer: 3302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 45433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dii when three letters picked without replacement from ddii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 28 = -3*b. Let i = b - -11. Sort 7, -2, i in increasing order.\nAnswer: i, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*t**2 - t**2 - 679201 - 679191 + 8*t**3 - 4*t - 2*t**4 + 1358391 to the form w*t + i + n*t**2 + f*t**4 + j*t**3 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 + 5*n - 2. Let o(a) = -a**2 - 6*a + 3. Let p = 14 - 12. Calculate p*o(y) + 3*x(y).\nAnswer: y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*f + 5 - 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 490086 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 12971 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 34 - 19 + z - 3 + 2*z in the form q*z + a and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.0726+142421744.202\nAnswer: 142421744.2746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -419*b - 35*b + 2724 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -26 + 22. Suppose k*l = 283 + 75. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1025 - 1023. Solve l = n*g - 7, -2*g + 4*l - 2*l = -4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, h: 10, s: 6}. Give prob of sequence sh.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 45 - 6. Suppose h - a = 76. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 151 divide 232053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002162082 to 7 decimal places.\nAnswer: -0.0000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(133) + -5*(sqrt(133) - (-5*sqrt(133) + sqrt(133)))))\/(sqrt(49)\/(sqrt(7) - (sqrt(7) - (sqrt(7) + -5*sqrt(35)\/sqrt(5))))) + 3.\nAnswer: -480*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of 152*p**3\/3 + p**2\/2 + 151*p + 540. Find the second derivative of g(l) wrt l.\nAnswer: 304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1056551604.\nAnswer: 2, 3, 88045967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of 1 - 4\/15*d**5 + 4\/105*d**7 + 0*d - 1\/84*d**8 + 4\/3*d**3 + 1\/15*d**6 - 6*d**2 - 1\/6*d**4. Solve r(i) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -33*j. Give h(2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 277728.6 tonnes?\nAnswer: 277728600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 299448 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: (38\/(-2280))\/((-3)\/15)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -505\/3653?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (-20 - (9 + -39))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7252)\/74)\/14*(-328)\/56?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 + 3 - -5 - 2. Solve -5*l + 6*l - 17 = -4*t, -4*t = n*l - 27 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -107, -216, -325, -434, -543?\n\"Answer: -109*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jcciccicqjqqqcqcc. Give prob of picking 2 i.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence shs when three letters picked without replacement from shshhs?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -568*147652\nAnswer: -83866336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -50 - -74. Suppose 20 = -29*u + w*u. Let q(d) = -d**2 - 7*d. Determine q(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*m - 5*n + 10, 1273*n = 4*m + 1270*n + 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6167976037 rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**5 + 6*c**4 - 4*c**3.\nAnswer: -2*c**3*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 107375 and 6465.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t, d - 4*d - 6 = 2*t. Let s be 5 - (8 + -8)\/(d - -5). Solve s*z + 12 + 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -1812*q**3 + 3*q**2 + 24*q + 21. Give t(-1).\nAnswer: 1812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 1 + 4 = -2*a, 0 = 2*a + 10. Suppose 0*b + 243234 = -2*z + 5*b, -q*b = 2*z + 243274. Let v = 251627 + z. What is v rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -89e (base 16) in base 12?\nAnswer: -133a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -709, -682, -637, -574, -493, -394?\n\"Answer: 9*s**2 - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 4299  (b) 2  (c) -0.2  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 + 0)*2 + -9. Let s be 24\/(-5) - t\/(-65). Let z(d) = d + 10. Let l be z(s). Is l less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f + 1. Let i be z(3). Let t = i - -1. Is t > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -7*r. Let i be m(1). Let o(h) = 16*h - 13. Let b(t) = -5*t + 4. Let q(a) = i*b(a) - 2*o(a). Let x = -62 - -64. What is q(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 48621 and 152?\nAnswer: 388968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4 = -3*r + b, 2*r = -4*b + 22. Let n be (1*-3)\/(9\/(-12)). Suppose -12 = -4*k - 2*v, 0 = 2*k - 2*v - 18 - 0. Solve k*w - r = n*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3020 or 113463?\nAnswer: 3020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 2*l + 10, -23 = -4*p + 2*p + 5*l. Let g = 9 + -4. Which is the biggest value?  (a) 2\/7  (b) p  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -649\/9?  (a) -4\/7  (b) 0.5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.3497127cm?\nAnswer: 3497.127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 5771910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*x + 26*x = 1195. Let q = x + -118. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**3 - 4*c**2 - 2*c + 4. Let f be m(-3). Let g(r) = 4*r**3 + 3*r**2 - 2. Let u be g(-4). Let y be 6\/(-14) + (-111)\/u. Is y <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 286 - 281.6. Sort -2\/5, 2\/13, -5, z.\nAnswer: -5, -2\/5, 2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20888750749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(396) + sqrt(396)*4 + sqrt(396) - sqrt(396))\/sqrt(4) - (3*sqrt(495))\/(sqrt(40)\/(sqrt(8) + sqrt(8)*-2)).\nAnswer: 3 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*x - 36 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 9*c**2. Let j(g) = -9 - 1461*g + 1404*g + 12. Determine z(j(w)).\nAnswer: 29241*w**2 - 3078*w + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 100745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 903 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -12*u + 8. Let l(g) = g**3 + 58*g**2 - 121*g + 2. Let a be l(2). Calculate k(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 - -2 - 0) + (-7 - -42) + -45\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 256 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*p**2 - 3*p**2 + 93*p - 41*p + 2*p**2.\nAnswer: 6*p**2 + 52*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -13, 3, 2, -1.\nAnswer: -13, -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.4 - -0.4. Let x(z) = -4*z + 1. Let o(i) = -11*i + 3. Let d(h) = -3*o(h) + 8*x(h). Let a be d(3). What is the closest to a in -0.4, t, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2058 by 3.\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9923 (base 15) to base 8.\nAnswer: -77261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -26 + 61. Let y(h) = h**3 - h**2 + h + 1. Let t be y(0). Let k be 14\/t + (-1 - -1). What is the greatest common factor of d and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 33 = -5*p, -5*b - 3*p + 89 = 34. Suppose -4*n + b = -3*n. Let d = -11 + n. Solve 2*i = -d*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 AM and 6:53 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00318 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39344.\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*b + 282 = -95. Differentiate -b + 50 + 105 - 33*k**2 - 2*k**3 with respect to k.\nAnswer: -6*k**2 - 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 9*a - 14*a + 7*a - 10. Let d(b) = -1. What is -30*d(f) + 3*j(f)?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6*((-4)\/2)\/6. Suppose -96 = -2*d + g*y, -2*d = -d + y - 58. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -186 = -5*w - 61. Let m be -13 - (-2)\/(0 - -1). Let n = m + w. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 10257 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*b = 15*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4910973 is divided by 86.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 186.6 - 187. Which is the third biggest value?  (a) 85  (b) o  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + (19 + -87 - -27)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1224518003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -69137 <= -0.37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110211111 (base 3) in base 7?\nAnswer: 150442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1351 - 3789 = -4*p + 4*u, p - 1282 = 2*u. Calculate the greatest common factor of p and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/3, -18\/17, -2\/23, -0.2, -1, 2\/55?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from vvvsvvvsvvsvvv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*v - 189 = 3*v. What is the greatest common divisor of 2667 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10301230 - 112231?\nAnswer: 10122333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 264\/16*(-8)\/(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88052 is divided by 21235.\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3)\/(21\/(-887)) - 38\/(-133) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, o: 2, v: 4, u: 1, e: 1, q: 3}. What is prob of picking 1 v and 1 o?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9867 and 663?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16)\/(-100)*(-5)\/2. What is the nearest to t in 0.3, 1, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mssumssmcmcsu. Give prob of sequence scu.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oonnoonnnnonn. What is prob of sequence nonn?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130 = -3*v - 2*v. Suppose 0*y = -y + v. Let l = y - 15. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01*-85.\nAnswer: -0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 12074, 12206, 12428, 12740, 13142?\n\"Answer: 45*t**2 - 3*t + 12032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 1 = -3*k. Let y(j) = -k + 4 + 9*j + 0. Let f(i) be the first derivative of 2*i**2 - i + 12. What is 5*f(v) - 2*y(v)?\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20 - -27. Let x(h) = -15*h**3 + 5*h**2 - 4*h - 9. Let a(r) = 8*r**3 - 3*r**2 + 2*r + 5. Let t(q) = p*a(q) + 4*x(q). Suppose 2 - 1 = -v. What is t(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*v - 2*v + 4*v**2 - v - 3*v wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.456?  (a) 9  (b) 0.5  (c) -5  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -2*v - 2*g + 30, -5*g = 5*v + 75. Let t = 70 + -72. What is the common denominator of (t\/v)\/((-24)\/630) and 17\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*w**2 + 2*w - 592.\nAnswer: 6*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162183 is divided by 93?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 24*a + 63*a - 117*a + 12*a + 15*a.\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -9087084 to the nearest ten thousand.\nAnswer: -9090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1090 or -109?\nAnswer: -1090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 124261 and 120505.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -119*d - 34. Let q(f) = 17*f + 5. Suppose 35 = -11*t - 20. Calculate t*p(v) - 34*q(v).\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -1196*x**2 + 253*x + 253. Let z(k) = 19*k**2 - 4*k - 4. Give 4*c(s) + 253*z(s).\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*p**2 + 7*p**3 + p + 5*p**2 + 2*p**2 + 2*p**4 + 0*p to v + h*p**3 + x*p**2 + b*p**4 + i*p and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = -3*f + 48, -41 = -8*x + 9*x - 4*f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 25\/19 and -3.051 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-7)\/14)\/(1\/(-8)). Suppose 0 = -2*s - 5*k + 19, u*s = 4*k + 37 + 15. Calculate the remainder when 23 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 2 = 7. Let h be 243\/(-12) - x\/12. Let z be (-4 - 2)\/(3\/h). Round z to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1428 by 84.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 63 * 5\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 + 44*a**2 - 381*a - 32. Let f be j(12). Solve -f = 8*t + 36 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3102\/(-1081))\/(-33) + (-4772)\/920 + 5.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-468)\/3)\/(-6))\/(5*(-14)\/35)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 at least as big as -51.68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 11157\/21 + 4\/(-56)*4. Let j = 539 - n. Let t(b) = 5*b**3 - 3*b**2 + 5*b - 7. Let g(v) = -14*v**3 + 8*v**2 - 14*v + 20. Give j*t(c) + 3*g(c).\nAnswer: -2*c**3 - 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 14*p - 7. Suppose r - 11 = -6. Let i(q) = 7*q - 4. Let w(v) = r*i(v) - 2*u(v). Differentiate w(h) with respect to h.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12.37 + -12.87. Put 0.4, 5, -2, a in descending order.\nAnswer: 5, 0.4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26 and -32\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 6692000 to the nearest 10000.\nAnswer: 6690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(567) - sqrt(567)*1) + -2*sqrt(14)\/sqrt(2))*-1 + sqrt(847) + -2 + -2 + 4.\nAnswer: 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2044883545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 9:46 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3*(14\/6 + 3). Let d = -8 + t. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 73 + -73. Solve z + w*z = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/(-12))\/(2 - 8\/3). Let l(f) = -f**2 - f. Let n be -1 + (-1)\/(-1) + 2. Let o(m) = -m**3 + 2*m**2 + 3*m. What is a*o(r) + n*l(r)?\nAnswer: -r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of -f**2 + 3*f - 1. Suppose -v = -3*z + 21, 2*z + 34 = 4*z - 4*v. Calculate i(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of -1\/7*z**2 - 1\/21*z**3 - 1 + 0*z. Find u, given that h(u) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r - 5. Let b(c) = -5*c + 243. Calculate -b(a) - 6*u(a).\nAnswer: -a - 213","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8599 or -8598?\nAnswer: -8598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-1\/4)*f**(-1)*f*(f*f**0)\/f*((f\/(f\/f**(-3))*f)\/f)\/f assuming f is positive.\nAnswer: f**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 319 = 3*s - 327, 7*b + 27 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2448393273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*o**3 + 0*o**3 - 5*o**3)*(3 - 2*o - 3 + (0 + 2 - 4)*(-2*o + 6*o - 2*o) + 2*o - 4*o + o - o - 6*o - 2*o).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -15 and -8931\/608 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 43 - 27 - 15 + 145*t in the form u*t + q and give u.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 106\/39  (c) -9734\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 157 or 33081\/2?\nAnswer: 33081\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j*j**5)\/(j\/(j*j**(1\/12)*j)))\/(j**(1\/4)*j)**(-26))**1 assuming j is positive.\nAnswer: j**(487\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/(-4 + 3 + 0). Let f be 36\/10 + 6\/t. What is the common denominator of 1\/12 and f - (-1)\/20*-94?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/10 + (-2)\/((-4)\/1). Suppose -10*q + 30 + 10 = o. Suppose 9 + 15 = 4*x - q*u, -7 = -x + 2*u. Solve 0 = x*d + 3*g + 12, -2*g = d + g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 1523.\nAnswer: -4\/1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:22 AM and 4:54 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 415473*u**4 - 190*u**3 + u**2 - 188*u - 4365 wrt u.\nAnswer: 9971352*u - 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -5, 140, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-1)*1*(-3)\/2178*-22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 13*g**3 - g**2 + 4*g - 2. Let q be 1*-2 + (11 - 8). Is n(q) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0034056 >= -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 - 7*s + 3. Let p be z(7). Let h = 9 - p. Factor -11*m + 3 + 0*m**5 - m**4 + 5*m**5 - 4*m**5 - h*m**3 + 14*m**2.\nAnswer: (m - 1)**4*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 + 48*o - 549. Calculate v(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 89\/760 + 5\/152. What is the smallest value in -3, 2.5, u, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8.7 + 1.7. Let d = u - -4. Which is the smallest value?  (a) -4  (b) -1\/4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 10 = k, -2*c + 2*k - 16 = 0. Let r(z) be the second derivative of 1\/6*z**3 - 6*z - z**2 + 0. Determine r(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2686828 (base 9) to base 13\nAnswer: -3c8315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 8) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 509*j - 515*j + 0.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1b90 - -2?\nAnswer: 1b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 19 = 29. Let l = 329 + -77. Let b be (l\/45)\/((-2)\/(-20)). What is the highest common factor of w and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 13320000 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*d = 216*d - 2716. Solve 12*h - 34 = d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 200388.\nAnswer: 2, 3, 16699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1227651.81 to the nearest 10000.\nAnswer: -1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1215?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.54 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = 4*p + 15, -p - 4 = -2 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 19, i: 1}. What is prob of sequence vi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16656793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-23)\/((-11280)\/2255 + 5). Suppose 0 = 15*b - 4*b - l. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -3, -89\/4, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -24488, 3, -3, -2 in descending order.\nAnswer: 3, 2, 1, -2, -3, -24488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6437911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 235, 898, 1983, 3478, 5371, 7650, 10303, 13318?\n\"Answer: -2*r**3 + 223*r**2 + 8*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*p - 95*p - 22*p)*(-4 + 5 + 0).\nAnswer: -143*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 31719 and 194?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100*x + 29*x + 80*x - 209*x - 11*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -115 - 3a763?\nAnswer: -3a878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-333)\/(-6))\/((-6)\/36). What is the hundreds digit of -5 - (-8)\/((-8)\/i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14934.558 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-9500)\/(-57))\/(1\/137400). Round x to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 34401515 (base 7) in base 11?\nAnswer: 1775823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 36828248306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 116 - 115.98. Which is the third biggest value?  (a) 1\/4  (b) -1\/2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 83489327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {l: 1, o: 3, m: 1, i: 5, b: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7*(-9)\/(-12)*-4)\/1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39445108 divided by 1066084.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of i**3 - 3*i**2\/2 - 3*i + 4. What is the remainder when z(-3) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1357191933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 22 + 12. Suppose 0 = -2*u + 1 + 3. Suppose u*a + z = -1, a - 6*z - 16 = -z. Solve 4*l + 4 = -j*o + 7, 5*o - a = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((16\/5)\/(-4))\/(658\/(-35) + 16). Suppose 8 = 4*o - 0. Factor -h*d + 1\/7*d**o + 1\/7*d**3 + 0.\nAnswer: d*(d - 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2758438 divided by -2.\nAnswer: 1379219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2579, 3793, 5005, 6215?\n\"Answer: -q**2 + 1217*q + 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**2 - 5382*s + 21576.\nAnswer: -3*(s - 4)*(s + 1798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 630, -7, -0.1, -1\/9?\nAnswer: 630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 64, -2, 26, 2 in increasing order.\nAnswer: -2, 2, 3, 26, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -204 bigger than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 14 + (-14 - -4) + (-3 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088) + 0)**2*2*5 + 5 - 3*4*(sqrt(1088) + sqrt(1088)*-1)**2*-3.\nAnswer: 10885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45386119?\nAnswer: 45386119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, 4, 3, 2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-5\/3)\/(s*s**(-1\/17))*(s\/(s**(-7)*s))\/(s**6*s) assuming s is positive.\nAnswer: s**(-133\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 252162 to the nearest 1000.\nAnswer: 252000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3860, 272, -82 in increasing order.\nAnswer: -82, 272, 3860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 3478564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -47*w**4 + 43 - 22 - 18 - 6*w - 14*w wrt w.\nAnswer: -564*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 65 - 64.9. Let t = 1.1 - 0.1. Which is the closest to s?  (a) -2  (b) t  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -472 + 474. Solve c*t + 5*w = -0*w - 30, -w = 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3724307555 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + j**2 + 2*j - 5. Let n be l(0). Let z(m) = m + 1. Let i be z(-5). Is i > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 4, 11, 0.2, -1, -191?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnm when three letters picked without replacement from {d: 2, n: 2, m: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -98*w + 655*w - 3*w**2 - 10*w**3 - 62 + 64 wrt w?\nAnswer: -60*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 571.0457l?\nAnswer: 571045.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 14\/69 and -83\/567.\nAnswer: 13041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 1239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*f**3*q*x + 3*f**3*x + 269*f**2*q*x - f*q*x**2 + 4*f*x**2 + 6*f*x wrt q?\nAnswer: 2*f**3*x + 269*f**2*x - f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32 - 30. Solve -5*a - 2*o = -4 - 2, 0 = z*a + o - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000051485 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4 + 7 + -3 - -96. Suppose -2*f - t + 23 = -6, 2*t + 2 = f. Calculate the highest common factor of f and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 3 = 4*o - 4*w, -3 = -3*w. Let z be (14 + -15)*(o + 0). Solve z = -4*u - 9 - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + 4*v - 3*v**4)*(-8926613 + 730*v + 8926613).\nAnswer: -2190*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 355\/(-2)*(-23)\/(-230) - -17\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -294?\nAnswer: -1\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 567108369 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -8*(-14 + 406\/28). Let y(o) = 8*o + 43. Give y(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t = 10*t - 15. Suppose t*c - 34 - 51 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v = -18*v - 64. What is the second biggest value in v, 38, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 12:52 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t. Suppose 2*l - 126 = -5*g + g, 3*l + 21 = g. Suppose 2*u - g = -3*u + 3*o, 2*o = -4*u + 2. Let z(w) = w + 3*w**2 - u*w + 2*w. Give z(v(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 17 - 5. Solve 2*u + 3*p = 21, 0*u + b*p = -2*u + 26 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 91675 and 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 29141 and 51342.\nAnswer: 80483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -42.71 - -0.2.\nAnswer: -42.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(9\/4)\/(h**(-5\/2)*h)*(h\/((h*h**(-1\/4)\/h*h*h)\/h))**(-47))**5)**(-2\/57) assuming h is positive.\nAnswer: h**(80\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 11:00 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**3 + 3*u**2 - 10*u + 12. Let r be k(-5). Solve -r*n + 8 = -14*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Let w(v) = v**2 - 9*v + 10. Let i be w(8). Suppose -h + 2*p = -6, 0 = 4*h - 2*p - 8 - 10. Let u = h + i. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3.22216906668 and -0.048.\nAnswer: 3.17416906668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/5)\/(40\/(-50))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 25.25172 months?\nAnswer: 0.210431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 33580 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 163795754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -455757 divided by -1?\nAnswer: 455757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4252 and 1952731.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15468492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of k**5\/20 - k**4\/12 - k**3 + 2*k**2 - 5*k. Let b be -1 - -3 - -1 - 0. What is the units digit of w(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10342793 - 116846.\nAnswer: -10459639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -512089.165 + -0.02.\nAnswer: -512089.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*h + 2519 = 186*h + 12*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(252) + 0.\nAnswer: 2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 112712 and 32?\nAnswer: 450848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 662 is divided by 207?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16)\/(3 + 1) + 25. Let c(z) = -28*z**2 + 71*z**2 - t*z**2. Let y(w) = w. Determine c(y(x)).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -21 + 26. Let c be (10\/(-4))\/((-2)\/(-4)). Put b, 0.4, c in decreasing order.\nAnswer: b, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of -9*r**3 - r**2\/2 - 692*r - 259. What is the first derivative of k(v) wrt v?\nAnswer: -54*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -47 + 94. Let q = 42 - u. Which is the fourth smallest value?  (a) -2  (b) 0.2  (c) q  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-70)\/20)\/(2\/(-4)). Let b = 21 - p. What is the first derivative of 48*u + 9 - 6*u - b*u wrt u?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhjhjhhjhhhhh. Give prob of picking 2 j and 1 h.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 4*f - f - 41, 3*r = -3*f + 87. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 + 0*i**2 + 3*i**2 + (4*i - 4*i - 2*i**2)*(-3 + 0 + 1))*(2093*i + 2703*i - 1890*i).\nAnswer: 14530*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/(4\/(-2)) + -1663112. Let h = -2483108 - o. What is h rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239795302 is divided by 1023.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3103 + -2143?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3194934, -3194938, -3194942, -3194946?\nAnswer: -3194950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 7 + (-1131)\/182 + 2\/(-4). Put -0.235, -1\/4, 5, v in descending order.\nAnswer: 5, v, -0.235, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**3 + 3663*t**2 + 1138005*t + 12078825.\nAnswer: 3*(t + 11)*(t + 605)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -31242, -62490, -93750, -125022, -156306?\n\"Answer: -6*h**2 - 31230*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4*-4*(-20)\/64. Suppose 0 = -2*t - 3*y + 120, 2*t - 3*t = -k*y - 34. Suppose -5*s = -2*s - t. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 751 - 4579\/6. Let m = 19979\/29 - 689. What is the common denominator of x and m?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12*27\/(-2160)*53 + (6 - -2) + 0?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = -10*s - 730*a + 729*a + 31, 4*s + 93 = 3*a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f + 1713. Let c(j) = 4060*j. What is a(c(d))?\nAnswer: -4060*d + 1713","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(15 - (-3 - 0)). Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -546*q - 1008. Let t(j) = 32*j + 60. Let y(b) = -84*t(b) - 5*z(b). Let s(a) = a. Calculate -22*s(h) + 2*y(h).\nAnswer: 62*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -299320104*x + 299320113*x + 0 + 0 - 52*x**2.\nAnswer: -52*x**2 + 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -o**2\/2 - 8. Let k(f) = 4*f. Calculate y(k(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -158\/13. Which is the biggest value?  (a) 3  (b) w  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -73?  (a) -2  (b) -5  (c) -118.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 94840470 divided by -78058\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3503 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -22869*r**3 + 12*r - 13219*r**3 - 12*r + r**3 + 2*r**3 - 2*r**3 + (0 + 2 + 0)*(-2*r**3 - 4*r**3 + 5*r**3).\nAnswer: -36089*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (20 + 26*t - 20)*(9*t + 12*t - 28*t - 3) to b + n*t + w*t**2 and give n.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-120)\/220*(-2)\/6\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 7*s**2 + 6*s - 3. Suppose 5*h - f = -14 - 11, -2*h - 5*f = 37. Determine d(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 + 4)*(-2 - (-10)\/4). Suppose m = 10*a - 47 - 63. What is the highest common divisor of a and 154?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5407 + 812?\nAnswer: 6019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -13 + 13 + 0 + k. Let s(b) be the second derivative of b**4 - b. Calculate t(s(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 529738 - 233993. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.356945 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -25*b + 21*b. Suppose b*w - 6*w = -1713. What are the prime factors of w?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 180137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (264\/330)\/(4\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2\/91  (b) 4  (c) -2\/19  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (1016\/(-762))\/(166\/4731)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 873 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 508 - 347. What is the remainder when u is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/7, -4, -10, 0, -4\/3, -55, 22\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 31*r**2 - 138. Let h(b) = 60*b**2 - 316. Let l(t) = 7*c(t) - 3*h(t). Let i(x) = 2*x**2. Calculate i(l(f)).\nAnswer: 2738*f**4 - 2664*f**2 + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -17*d**3 + 17*d**2 - 9*d - 3. Let g(i) = -6*i**3 + 5*i**2 - 3*i - 1. Calculate 2*a(p) - 7*g(p).\nAnswer: 8*p**3 - p**2 + 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - (-7 - 30)) + (5 + -12 - -1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k - 0*k + 3, -2*q = -2*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20991, -41988, -63003, -84042, -105111, -126216, -147363, -168558?\nAnswer: -189807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -64, -12, 6339 in decreasing order.\nAnswer: 6339, 1, -12, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.821 + -0.521. Let c = -1.45 + 1.35. What is the closest to c in -8\/3, -2\/7, u, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes before 10:06 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-4 + (sqrt(3) + 3 - sqrt(3)))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 PM and 5:17 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 2*g - 10, -2*g + 0*b + 3*b - 6 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2508*n**2 + 6*n + 2. Let v be x(51). Round v to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/107780 and 65\/1379584.\nAnswer: 6897920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -183400000 rounded to the nearest one million?\nAnswer: -183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v**3 - 376*v + 3 - 3 + 376*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 6*m - 44 = 0. Let y = 19 + m. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**2 - 4*a**3 + a**2 - 276 - 7*a**4 + 275 in the form x + f*a**3 + d*a**2 + t*a**4 + v*a and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 + -20. Suppose -11*d = 30 + f. Is -7 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*y - 3*y**3 + 648249 + 2*y**4 - 648250 - 6*y**4 to h + f*y**2 + m*y**4 + g*y**3 + j*y and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of 4*z**5\/5 - 4*z**2 + 5*z + 3. Let r(l) = -l + 1. Let x(o) = d(o) - 5*r(o). Find the second derivative of x(f) wrt f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*t + 84. 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: Let v be ((-2)\/(-4))\/(-6 + (-407)\/(-66)). Suppose -17276000 = v*j - 31*j. Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2.64, 1\/4, 6\/7, 3.4, -85?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - 0 - (9 - 3 - (-25 + 30))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2306 = -38*y - 1128 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -55 + 57. Suppose 2*f - o = 6*f + z, -2*z = -2*f - 6. What is the third smallest value in 5\/2, f, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 733472906082000*i**5 - 27871955652294600*i**4 - 561595113940*i**3 - 33946918*i**2\/9 - 76*i\/9 = 0.\nAnswer: -1\/148890, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -830*y + 49799. Determine k(60).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*p + 34*p + 7 = -i, -36 = -6*i + 2*p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -658b03 (base 13) to base 16\nAnswer: -2477f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18 - 18. What are the prime factors of (3 - l)*82\/6?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 273 from 20.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*s + 30, -60 = -4*w + 113*s - 109*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -3*a**2 + a. Calculate g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 19\/3  (c) 0.1  (d) 16  (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 6 = -6*p, -5*t - 4*p = 3. Suppose -t = d - 41. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -74 - -70. Let s = -72.063 + 0.063. Let d = 71.6 + s. Sort 0.4, -1\/5, r, d in increasing order.\nAnswer: r, d, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzza. Give prob of picking 3 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 0*v + 15. Let s = 11 - v. Calculate the remainder when s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.89 - 0.09. Let f = 0.6 - w. What is the closest to f in 2\/3, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a factor of 42336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 60613 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22241434 (base 5) to base 9.\nAnswer: 328476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dppyxjddjjdjddpx. Give prob of sequence pxpj.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 - 10*g - 7. Let d be s(-7). Let l be 30\/(-3) + (1 - 0). Let v = l + d. Solve -p + v = 4*n - 3*n, -n = -4*p + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60129805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (1*8 - -1) + (-738 - -720)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17?  (a) 3  (b) -0.3  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w + 3*w - l - 26, -5*w + 15 = 4*l. Let y = -35 + 36. Sort w, 0, y in ascending order.\nAnswer: 0, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119) + 1*sqrt(119) + sqrt(119))\/sqrt(7)*-1)**2 + (sqrt(136)\/sqrt(64))\/sqrt(2).\nAnswer: sqrt(17)\/4 + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.2  (b) -44\/5  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22 - 17. Find x such that -16*x**2 - x**3 - 6*x + 2 + 2*x**5 - 6*x**4 + 0 + 20*x**2 + d*x**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 289, 578, 867?\n\"Answer: 289*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3*r + 4*r - 15 = 0, r - 13 = -4*p. Suppose h - 92 = 3*m, -5*h + p*h = -2*m - 304. Let g = h + -35. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttf. Give prob of sequence ttf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s*s*s*s\/s**(-2\/3)*s*s*s)\/s*s)**49\/(s**1\/(s\/(s*s*s\/s**(-5)))))**47 assuming s is positive.\nAnswer: s**(58750\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.06 + -0.1. Let p = -2\/81 - 148\/567. Put t, p, 2 in descending order.\nAnswer: 2, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1725 is divided by 1203.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 56*d**3*j**3 + 3*d**3*j**2 - 157*d**3*j + 1329*d**2*j**3 + 9*d**2 + d*j - j**3 wrt j?\nAnswer: 336*d**3 + 7974*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 4:06 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 303439427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 24 - 117. Let c be (-2)\/(-4) - u\/6. Suppose 0*l - c = -l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1.3385598 milliseconds?\nAnswer: 0.00002230933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.58474*-27.79\nAnswer: 16.2499246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o, 1 w, and 1 z when four letters picked without replacement from zoowo.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 - -19. Let s = 0.4 + -0.44. Let o(i) = i**2 + 2*i + 2. Let n be o(-3). What is the second biggest value in s, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4171 - -271?\nAnswer: 4432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9*(-3 - 11\/(-3)). Suppose -h*p - 48 = -3*p. What is the least common multiple of ((-135)\/(-36))\/((-6)\/p) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, 202, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/24*(-2)\/(-16)*6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = 3*v - 69 - 30, 10*v = 2*a - 26*v + 1110 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1716604753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/546 and -26\/35.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of s**8\/140 - 5*s**4\/12 + 3*s**3 - 13. Let u(c) be the third derivative of d(c). What is the first derivative of u(a) wrt a?\nAnswer: 48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 2*l = 4, 139 = s + 5*l + 129 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 244, -45?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11988 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -1  (b) -3  (c) 231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -35938*m*x**3 + 6*x**3 - 2*x**2 - 86*x wrt m?\nAnswer: -35938*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 36 - 66. Let o be 4\/d*-6*10. Let h be 1\/4 - (-7)\/4. Solve -h = 2*t - o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*a**3 + 6*a - 3*a - 3*a + 0*a.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.449 + -0.049. Let f = 13 - 19. What is the third smallest value in -3, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 38013630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5994?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (88 - 98 - 18) + 53.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = 5*m + 7. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 501271\/70 + -7161. Let a(j) be the third derivative of 0*j + f*j**7 + 0*j**3 + 0*j**4 + 21*j**2 + 3\/20*j**5 + 1\/8*j**6 - 1\/112*j**8 + 0. Solve a(b) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**3 - 7670*s**2 - 2933760*s + 5898240.\nAnswer: -5*(s - 2)*(s + 768)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -25*p + 4. Determine r(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4*1*2\/4. Let t(i) = 6*i**g - 2 + 3*i + 3*i**3 + 4 - 4 - 4*i**3. Calculate the smallest common multiple of 22 and t(6).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.05  (b) -5.8  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6344 - -6343.9. Sort o, -479, -0.4 in descending order.\nAnswer: o, -0.4, -479","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 119 divided by -47064?\nAnswer: -119\/47064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -6*t - 90. Determine d(-19).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 34871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 + 8*a + 17. Let r be s(-5). Solve -2*b - 2*l = -4, -3*b - r*l + 3*l = -2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03 less than -102072620557?\nAnswer: -102072620556.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-902)\/(-44) - 24)*((-10)\/(-7) + -2). Solve -22*d + n*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2402148 from 0.22.\nAnswer: 2402148.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4.4  (b) 0.3  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 5*k - 2398 = 2983, -4*b - 5377 = k. What are the prime factors of ((-31)\/(-3))\/((-32)\/b)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 422204 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*m - 1200 = 6*m - 1242 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -481, -521, -575, -649, -749, -881?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) -2  (c) -12  (d) -2\/143  (e) -1  (f) -9\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -251*p**3 + 71*p**2 + 251*p**3 - 2*p**6 - 4*p**4 wrt p.\nAnswer: -240*p**3 - 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83960992 is divided by 282.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 427125 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 1008*r - 64450. Suppose -3*s + 39 = -3*p, -4*p = s + 4*s - 20. Calculate the remainder when b(64) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fourty-one halves of a kilogram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -725174606379 - -0.14\nAnswer: -725174606378.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (11\/(99\/(-108)))\/((-54)\/90)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 217000895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 200210222 + -1?\nAnswer: 200210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -798971, -798973, -798977, -798983?\nAnswer: -798991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.03  (b) -2.5  (c) 5  (d) -0.3  (e) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 5*r. Let g(y) = -39*y**2. What is k(g(v))?\nAnswer: -195*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1513*5.\nAnswer: 7565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -311*k + 71722. Calculate q(247).\nAnswer: -5095","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wfwfufuwfuwwwfwfw. Give prob of picking 3 w.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18590 = 767*n - 238 + 18464 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3 + 2)*1 + 4. Suppose -4*u = 4*o + o + 2, p*u + 4 = -5*o. Let x(h) = 33*h - 13. Is x(u) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2*((sqrt(45)*-2)\/sqrt(9))**2 + -2*(sqrt(720) - (sqrt(720) - sqrt(720)*-1))**2).\nAnswer: 4440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11.06 - 2.06. Sort 3, -5, r.\nAnswer: -5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.004 in 1\/6185, 5, -1.8?\nAnswer: 1\/6185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 - 5*n - 6. Let z be c(6). Let q(f) = -f**2 + 4*f + 1. Let x be (3\/(-2))\/(2\/(-4)). Let w be q(x). Solve z = -v - 1 - w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -248128068 divided by 82709356.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -82 + 48. Let o(t) = -t + 2. Suppose -23 = 4*g + 1. Let b(r) = 6*r - 11. Give g*b(z) + l*o(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and 336.\nAnswer: -100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-154)\/(-3) + (-2)\/6. Suppose -14*q + 999 = -0*q - 5*q. Suppose -q - w = -2*b. Does 27 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.4, 2, 5, -1\/358492 in increasing order.\nAnswer: -0.4, -1\/358492, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1515 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 127 (base 9) to base 2\nAnswer: 1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -23954043*h**3*o - 2482*h**2*o + 909*h**2 wrt h?\nAnswer: -143724258*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2\/55 - 71\/440. Let j = -186.5 + 186. What is the third biggest value in g, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 q when three letters picked without replacement from {h: 6, q: 2, f: 2, a: 4, u: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1639 and 25330.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47631.\nAnswer: 3, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(1216) - (sqrt(1216) + 4*sqrt(1216)*6)))**2*-6.\nAnswer: -37822464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 7:46 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.053 and -0.2.\nAnswer: 0.8106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -225829, -451646, -677463, -903280, -1129097, -1354914?\n\"Answer: -225817*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -6*n. Suppose -3*k = -4*t + 5*t - 3, t + 2*k = 1. Let b be (-2)\/(t\/5 + 1). Put n, b, 3 in increasing order.\nAnswer: b, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -948 from 8498418.381.\nAnswer: 8499366.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, q: 12, x: 3}. What is prob of sequence qx?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 86*d**2 + 1. Let a(t) = -87*t**2 + 1. Give -6*a(j) - 4*y(j).\nAnswer: 178*j**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 43*u + 229 = 66*u, -9*p - 3*u + 2 = -257 - 38 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1672507 is divided by 1735.\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280*b + 3097 = -3690 - 213 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uhhuuh. What is prob of picking 2 u and 1 h?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -2  (b) -3\/121  (c) 0.2  (d) -17  (e) -2\/5  (f) 1\/6  (g) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -5*h**2 - 175*h - 183. Calculate c(-34).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2*n. Let m be d(1). Suppose 4*l + 20 = 0, 0 = 4*t - 2*l - 8 - 6. Let s(w) = 0*w + t + 1 + m*w. What is s(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4*m + 18738, -o + 1807 = m - 2880. List the prime factors of (-1)\/4 - m\/(-20).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-33654)\/(-45) - -5 - (-16)\/120. Let t = m - 589. Calculate the remainder when t is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 50095*s + 2805317. What is r(-56)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 70.9097 litres?\nAnswer: 70909.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/11?  (a) -3  (b) -2\/15  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wn when two letters picked without replacement from {w: 1, s: 2, y: 1, n: 2, b: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.9301 + 1.0301. Sort -0.01, -0.3, -2\/11, -4\/7, q in ascending order.\nAnswer: -4\/7, -0.3, -2\/11, -0.01, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4638 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 37 = -4*h - 335, -2*k - 2*h + 138 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 203612799 divided by -67.\nAnswer: -3038997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from astakkkxtsktattt. Give prob of sequence xat.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2 - 0.1. Let q = 0.3 - 0.2. Let v = 1.75 + 0.25. What is the nearest to q in v, 2\/7, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + g**2 + 9*g - 7. Let c be v(3). Solve -4*r + 16 = 2*n, 4*r = -3*n + 14 + c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1501 - 1426. What is the highest common divisor of 725 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 253058319.\nAnswer: 3, 193, 145687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.1230871 months to centuries.\nAnswer: 0.00176923925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8781, 4\/27, -2\/9, 2, 4.\nAnswer: -2\/9, 4\/27, 2, 4, 8781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3864)\/1564*51*2\/(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-133578)\/(-5430)*(-15)\/9.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 806336.\nAnswer: 2, 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -3*b**3 - 35022*b**2 - 664209*b + 1468530 = 0.\nAnswer: -11655, -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1904\/91 + 5\/65. Suppose -10*p + 12493 = v*p. What are the prime factors of p?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 5*x**2 + 2*x - 4. Let o(s) = -4*s**2 - 2*s + 3. Let v(i) = -2*b(i) - 3*o(i). Let c be 1*(-2 - -1) + -1. What is v(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*h = -80 - 140. Let w(y) = -y**3 - 6*y**2 - 5*y - 1. Give w(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-19)*b*(b*b\/(b*b*b*b\/b**5*b)*b*b)\/b)**(3\/8) assuming b is positive.\nAnswer: b**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -6342 divided by 3\nAnswer: -2114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13445.\nAnswer: 5, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mddaadadbdamuludd. Give prob of sequence dbml.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5104 is divided by 570.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3066543*5.\nAnswer: 15332715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2*q + 4. Let a(s) = -4*s - 9. Give -6*a(v) - 14*u(v).\nAnswer: -4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {a: 6, k: 4, d: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 2*w**4\/3 + 117368*w**3\/3 + 39122*w**2 = 0.\nAnswer: -58683, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 - 18*u**2 - 13*u - 6. Suppose 30*t - 506 = 7*t. Let c be h(t). What is c rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 3*i + 265104 = 265140, -6*c + 5*i = -76 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -1\/2, 4, 27, 1\/2 in ascending order.\nAnswer: -1\/2, -0.1, 1\/2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of b**4\/12 - b**3\/6 - 23*b + 1. Let u(p) = 2*p. Determine u(f) + 2*y(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*s**3 - 21*s**3 + 7*s**3 + 2*s - 1 to the form p*s**2 + q*s**3 + f + i*s and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -4*q**3 + 8*q**2 + 9*q + 16. Let h(g) = 3*g**3 - 5*g**2 - 6*g - 11. Let u(p) = 5*f(p) + 7*h(p). Determine u(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -4*r**3 + 8*r**2 - 4*r - 4. Let v(w) = -4*w**3 + 9*w**2 - 5*w - 5. Let q(m) = -5*n(m) + 4*v(m). Factor q(y).\nAnswer: 4*y**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13068288 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 81\/238 and 44\/21.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5272393 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -672.8 and 160.7.\nAnswer: -108118.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, r: 2, d: 1, s: 2}. What is prob of picking 2 r and 1 d?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 26740652 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of 4*w**4\/3 - 20*w**2 + w + 107. What are the prime factors of l(9)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 + 6. Let i = 7 + t. Suppose -s = i*x - 2088, -4*s + 5223 = 3*x + 2*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -20*q**3 + 14*q**2 + 26*q + 38. Let k(l) = -7*l**3 + 4*l**2 + 9*l + 13. Let o(m) = -2*a(m) + 7*k(m). Is o(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 + -6. Let k(w) = -w**3 - w**2 - w + 1. Let h(d) = -5*d**3 - 11*d**2 - 15*d + 14. Let u(y) = -h(y) + 6*k(y). Is 5 a factor of u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (4211 - 11) + 9 - 2?\nAnswer: 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 5*t**2 + 18*t - 6. Let k be b(8). Let l be 4 - (2280\/k)\/(-10). Sort -3, 1\/2, l, 2\/23 in ascending order.\nAnswer: -3, l, 2\/23, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*n**2*s**3*t**3 - 8036*n**2*s**3 - n*t**3 - 2*n*t**2 + s**3*t**3 - 2*s**3*t**2 - 7*s*t wrt n?\nAnswer: 4*s**3*t**3 - 16072*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 51595*v**2 + 32*v + 17. Is x(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/x**(3\/5))\/x**(-8\/3)*(x*x**(1\/5)*x)\/(x*x*x\/(x**10\/x)) assuming x is positive.\nAnswer: x**(184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2033 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-5 + 4 + 2)*(-3 + 1 + 3) + 1 - 1 + 2)*(3*o + 2*o - 12*o) to x*o + y and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 12316.86 millilitres in litres?\nAnswer: 12.31686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6.1300453 + 6.13. Round c to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4838805?\nAnswer: 3, 5, 73, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-1)*(-19 + 18). Solve 0 = d*q - 2*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6419 <= -6420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**5\/2 - 21*h**4\/4 - 21*h**3\/2 + 41*h**2 + 135*h + 225\/4 = 0. Calculate h.\nAnswer: -5, -3, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(8\/5)*v)\/v*v*v)\/v*(v**(2\/69)*v)\/v assuming v is positive.\nAnswer: v**(907\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*b - 7 = 39 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 47134 = 5*c, 1176*c = p + 1173*c - 11775. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*k - 3*k + k = 330. Let x = -319\/6 + 53. What is the second biggest value in x, 0.5, k, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - 9*c + 17 + 6*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6917 minus 150.55?\nAnswer: -148.8583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o - 50. Let d be y(-26). What is the tens digit of (6 - 9)*(-56)\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4431.89396 + -4432. What is n rounded to three decimal places?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -939 + 956. Suppose 4*q + 21 = l - 42, l - 35 = -3*q. What is the remainder when l is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 3*q - 2*q = 137, 0 = 2*x + 4*q + 304. Let k = x - -145. Let 0*t - 4\/9*t**2 + 2\/9*t**4 - 2\/9*t**k + 0 = 0. What is t?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 73 + 18)*(32*x**4 - 11*x**4 - 3*x**2 + 5*x**2).\nAnswer: -1302*x**4 - 124*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1641327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/302574140 and 89\/60514828.\nAnswer: 302574140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 10452*q - 198622. What is h(19)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 228 = 4*j - 612. Suppose -7*y + 2*y = -j. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/9, -3\/4, -20\/9, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -107, -236, -415, -644, -923?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*o**2*z**3 + 85861*o**2*z**2 + 25*o*z**3 + o*z**2 - 136*z**4 wrt z?\nAnswer: 18*o**2 + 150*o - 3264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {p: 3, o: 4, r: 6, u: 1, n: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 166 + -1325\/8. Let i = -3.2 - -0.2. Which is the biggest value?  (a) i  (b) -7\/4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 9 - 1 = 0, 0 = o + 2*s - 1. Suppose o*g + 17 = 8*g. Let q = 59 - g. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4561*h**2 + 4713*h**2 + 12280*h**2)*(1 - 2 + 3)*(1 - 1 - 2).\nAnswer: -49728*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 2  (c) 2\/13  (d) -2  (e) -1049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 96894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -21.54 from -16611640.\nAnswer: -16611618.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 3*c**2 + c. Let m(s) = 4*s**2 + s. Let o = -255 + 249. Calculate o*y(a) + 4*m(a).\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -4, 0.06, -81 in descending order.\nAnswer: 0.5, 0.06, -4, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5255330 - 132?\nAnswer: -5255502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 951 - 245. Let b be (-3)\/(-7) + v\/(-14). Let p be b\/14 + 24 + -21. What is the closest to p in -2\/9, 1\/2, -1\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2366)\/156)\/7)\/(1\/6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 20\/(-16) + 2 + 253\/132. Let n = -14 + 34. Suppose -4*c - c + n = 0. Which is smaller: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s + 10. Let i be f(8). Suppose -b = -5*a + 113, 3*a + b + i = 65. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 496 - 484. Let p be (m + -14 + -1)*(1 + 0). Which is greater: p or -23\/8?\nAnswer: -23\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 53\/327 - 215\/654. What is the closest to -21 in 5, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 k, and 2 g when four letters picked without replacement from akkggkkxuu.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-3)\/(-15))\/(5136\/(-912)) and -36\/535.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2189 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 3*h**3 - 5*h**2 + 2*h. Let i be 4\/3*6\/4. Let u(x) = x**3 - x + 1. Let j(f) = i*u(f) - g(f). Is j(3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -3.7, 2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-22) + (3 - 80\/44). Let a = 7 - 1. Let h be ((-3)\/(a\/(-40)))\/(-1). Sort h, s, -1 in ascending order.\nAnswer: h, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -60 - -65. Suppose -2*v = -2*s - 10, -6*v + k*v + 5 = -2*s. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9 - 4*d - 3*d + 0 + 6 to a*d + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 979258891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 + 5*y**2 - 5*y - 5. Suppose w + 2*a + 78 = -w, 4*a = 5*w + 177. Let i = -34 - w. Let p(v) = -v**3 - 3*v**2 + 3*v + 3. Give i*r(h) + 5*p(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/25)\/(t\/(t*t**(-1\/3))*t))\/(t**(-8)\/(t*t**3*t*t)) assuming t is positive.\nAnswer: t**(956\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -s**5\/3 + 11*s**4\/3 + 13764*s**3 + 4367680*s**2\/3 + 133350400*s\/3 + 43008000 = 0?\nAnswer: -80, -1, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 50.08 + -4.88. Let p = -45.7 + d. Which is the second smallest value?  (a) 7\/5  (b) -0.3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*c + 2*c - 60. Let l = 0 - 0. Suppose 0 = -4*w - 0*i - 4*i + 364, c*w + 2*i - 440 = l. Is w a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2003, 2132, 2353, 2672, 3095, 3628?\n\"Answer: a**3 + 40*a**2 + 2*a + 1960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 75 = 2*q. Suppose -1465 = -r + 3*z - 1308, -4*z = 4*r - 724. What is the greatest common divisor of q and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -630*u**3 - 35*u**2. Let r(g) = -37*g**3 - 2*g**2. Suppose j + 105 = 3*h, -37*h - 70 = -39*h - 3*j. Calculate h*r(p) - 2*c(p).\nAnswer: -35*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -274 - -389. What is the greatest common divisor of h and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 - 8 = -5*t - 4*j, 2*t - 5*j - 4 = 0. Let o = 0.06 - -0.39. Let d = -0.25 + o. Put d, t, -2 in descending order.\nAnswer: d, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 4*k - k = 14, 5*k = 4*x - 56 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 37685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 - -11. Let s be 1 - (3\/(-6))\/(g\/10). Which is the nearest to -0.2?  (a) 0.3  (b) s  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*g = -14*g - 7601 + 7991 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -135 - -300. Calculate the remainder when b is divided by (-21 - 3)\/(-2 + 2 + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 4, -6, 3, -8 in descending order.\nAnswer: 4, 3, -3, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(4\/22 + 480\/(-825))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 863888.5nm in meters?\nAnswer: 0.0008638885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -350 = 11*j + 288. Let x = j + 60. Suppose -7*l = -x*l - 200. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00057712 rounded to 5 dps?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-seven quarters of a micrometer in nanometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**1*b)**(-18)*(b**(-2)\/b*b*b)\/(b**(-2\/9)\/b)*(b**(-2)\/b**(-5))\/((b*b*((b\/b**(-2)*b*b)\/b)\/b*b)\/(b*b\/b**(-1\/7))) assuming b is positive.\nAnswer: b**(-3442\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/7 - (-2)\/(-7). Let j be (1 + -1)\/(f*-1). Is 4\/(2\/13 - j) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 377 = 6*t - 847. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 8*a**2 - 4*a + 2. Let x(q) = -q**2. Let p(m) = d(m) + x(m). Let k be p(2). Solve b + 13 = -2*z, 2*b + k = 2*z - 5*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, b: 8}. Give prob of picking 1 x and 1 b.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -21*l - 1684. Determine g(-79).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2454.8634 less than 49804?\nAnswer: 47349.1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -30 - 6 - -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201 + -1021220110121110?\nAnswer: -1021220110122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(2\/25))\/(a**(-7)\/a) assuming a is positive.\nAnswer: a**(227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 219\nAnswer: 1\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/456 and 52\/6603?\nAnswer: 1003656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4881 + -4885.682. What is q rounded to one dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2925 + -2914. Let i(j) = 7*j**2 - 5*j. Let m(a) = -4*a**2 + 2*a. Give c*m(x) + 6*i(x).\nAnswer: -2*x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 0, -33, -114, -255, -468, -765?\n\"Answer: -2*k**3 - 12*k**2 + 17*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -37065773, -74131549, -111197325?\nAnswer: -148263101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -59\/3*n - 1061\/9*n**2 + 0 + n**4 - 529\/3*n**3.\nAnswer: n*(n - 177)*(3*n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i. Let t(w) = -12*w - 10. Let z(r) = r + 1. Let c(m) = 3*t(m) + 30*z(m). What is k(c(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -11489*f**2*u - 5*f**2 - 33*f*u - 3*f + 541155359*u wrt f.\nAnswer: -22978*f*u - 10*f - 33*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + 132?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -11993 or 466?\nAnswer: 466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229 = -69*n + 497 - 544 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 2:24 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 48, 58, 66, 72?\n\"Answer: -u**2 + 13*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -a + 5*a + 2*g, 0 = -a - 3*g. Suppose h = -5*l + 86 - 33, -5*h + 45 = a*l. Solve -5*t = 2*f + 5, -5*t + 0*f - l = f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 7*i - 4. Let z = 38 - 32. Let t(n) be the first derivative of 13\/2*n**2 - 6 - 7*n. Calculate z*t(j) - 11*s(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*d**2 + 2374*d + 17*d**2 - 34*d**2 + 1 - 3.\nAnswer: -2*d**2 + 2374*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/1854167 and -131\/1589286.\nAnswer: 11125002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 - 60*s + 693. Let o be r(15). Sort 4, -16, -4, o in increasing order.\nAnswer: -16, -4, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-2) + (0 - (0 - 2)). Let u be s + 1\/((-2 - 1) + 2). List the prime factors of 2 - -5 - -5 - (-1 - u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 578 - 569. Find the second derivative of 2*s + s - a*s + 9*s + 3*s - 130*s**2 - 17 wrt s.\nAnswer: -260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -360*h + 367 = -8633 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -270 + 130. Let w = -141 - l. Which is the third smallest value?  (a) w  (b) 3  (c) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + m + 0 - 9 = 0, 5*m = 3*d - 7. Solve l = 5*p + 21, 0 = -4*p - d*l - 0*l - 36 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16598 + 10377925037?\nAnswer: 10377941635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 35800271863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 7*g - 29 = 0, -14*r = -10*r + g + 29 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-24)\/10*460\/8. Let c = -87 - u. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2681, -2672, -2649, -2606, -2537?\nAnswer: -2436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of -q**6\/120 + q**5\/6 + 2*q**4\/3 - q**2 - 3. Let h(d) be the second derivative of r(d). Is h(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23617, 47418, 71219?\nAnswer: 95020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/6*6\/9. Calculate the remainder when 5 is divided by y\/5 + (-42)\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19280 + 19423 - 38703 + 22*a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 11) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3*u = f + 295, 0 = -4*f + 5*u + 1129. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/8*3452\/(-5178))\/((-585)\/24)?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(65)*1 + sqrt(65) + (sqrt(65) - sqrt(65)*-2*-1))\/((sqrt(25) - 2*sqrt(25))\/sqrt(5) - (sqrt(245) - sqrt(245)*-2 - sqrt(245))) + 5 + -1)*-6.\nAnswer: -24 - 12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, 0, -0.2 in descending order.\nAnswer: 26, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -87*b**4 - 3635*b**3 - 1223536*b**2?\nAnswer: -2088*b - 21810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*z**2 - 161*z + 161*z)*((2 - 4 + 0)*(-2 - 1 - 2) + 0 + 0 + 2).\nAnswer: 312*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2457 + -2456. Let w(h) be the first derivative of 28\/5*h**2 - 2\/3*h**3 + 24\/5*h - p. Suppose w(v) = 0. Calculate v.\nAnswer: -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {y: 4, n: 1, h: 1, j: 3, w: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7094967m in centimeters?\nAnswer: 70.94967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*o**2 + 11*o**2 - 3*o**2 as s + h*o + a*o**2 and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1177 - 5430?\nAnswer: -6607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3627.01761 + 3627. What is s rounded to 4 decimal places?\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 6*b**2 - 22*b - 3. Calculate j(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 27\/(-18) + 2 + (-3 + -9)\/24. Let w be (-2)\/(-4) - 22\/4. Sort -10, -4, w, p in decreasing order.\nAnswer: p, -4, w, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of d**4\/4 - 28*d**3 + 1176*d**2 + 48*d. Suppose j(h) = 0. Calculate h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence twbm when four letters picked without replacement from {w: 2, b: 3, m: 1, t: 1, k: 4, q: 4}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, 0, 5, -4 in decreasing order.\nAnswer: 5, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102111112 (base 3) to base 13.\nAnswer: 3a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3117*j**3 - 315 + 315 - 2119*j**3.\nAnswer: -5236*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from elllle. Give prob of sequence ll.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*(-38)\/(-8)*1. Suppose 3*n = -2*b - 4 + v, -n + 5 = -2*b. Suppose b = g - 5*g + 12. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, g: 2, t: 1}. What is prob of picking 1 u and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l**4 - 18*l**3 + 3*l**2 - 4206*l + 3.\nAnswer: 24*l**2 - 108*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*33914827\nAnswer: -6782965.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5375 divided by -6?\nAnswer: -5375\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.2 * 93241.\nAnswer: -111889.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 3*i**2 + i - 2. Let x(h) = -2*h - 12. Let t be x(-7). Let s(u) = -2*u - 3*u + 6*u + u**2 - 1. Determine t*s(d) - o(d).\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.24 + -0.44. Sort 2\/13, q, -4, 3\/4 in ascending order.\nAnswer: -4, q, 2\/13, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13\/2 + -19\/3. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 730968465 a multiple of 759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b55 + 2?\nAnswer: -b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1658.2 - -1079. Round z to the nearest ten.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15\/10 - (-5)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1496, 1\/136, 0.02, 23 in decreasing order.\nAnswer: 23, 0.02, 1\/136, -1496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 195, 207, 219?\n\"Answer: 12*q + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3052*v = -j + 3143*v + 185, -14 = -2*j + 4*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of -435*h**8\/56 + h**7\/42 - h**6\/10 + 2*h**4\/3 - 7*h**3\/3 - 6*h**2 - 354*h + 4. What is the third derivative of j(i) wrt i?\nAnswer: -52200*i**3 + 60*i**2 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*i**6 - 3*i**6 - 2*i**6 - 77*i**2 + 108*i**2 wrt i?\nAnswer: -2280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4320 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 m when three letters picked without replacement from xuuxkmukmmkkk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 25888 - 69046 = -2*i, 4*i - 86307 = p. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (11336*l**2 - 11336*l**2 + 121*l**3)*(0 + 0 - 3 + (-1 - 2 + 4)*(-2 + 2 + 1) - 2 - 2 + 3 + 1 + 2 - 1) in the form z*l**3 + o + f*l**2 + x*l and give z.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -4*z + 11, -2*a - 26 + 10 = -5*z. Suppose 0 = 2*k + z*k. Suppose k*l + 145 = l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 26*g - 5*g**2 + 10*g**2 - g**2 as r + h*g + n*g**2 and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57 - 7 = -9*j - 31 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49239308.\nAnswer: 2, 1297, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + 5*a**2 + 3*a + 1. Let m be 38\/8 - (-2)\/8. Suppose -4 = -m*h - 14. What is the units digit of t(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.007 + 0.093. Which is the closest to 2\/79?  (a) -1  (b) f  (c) 2\/5  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 AM and 2:01 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22 + -18. What is the closest to 2\/7 in -2\/5, t, -13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19127700 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000464 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/5 - 731\/430. What is the second biggest value in v, -30, -2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 76\/5 of a micrometer?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/(448\/60))\/((6\/(-20))\/(132\/55))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1*(3 - 2))\/(9\/(-45)). Suppose 2*f - 2271 = 5*v + 4495, q*f - 16915 = 3*v. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 200 - 157. What is the second derivative of -1099*a**2 + 558*a**2 + u*a + 559*a**2 wrt a?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 2412774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*g**3*s**3 - 8*g**3*s**2 - 33481*g*s**3 + 74*g*s**2 + 5996*g*s + 10*s**3 wrt s.\nAnswer: -42*g**3 - 200886*g + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*j**3 + 1796*j**2 - 2224*j + 444.\nAnswer: -4*(j - 111)*(j - 1)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-7) + (-170)\/(-7). What is the greatest common divisor of n and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4, -188, 9.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 721679 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 93*v + 315*v**2 - 316*v**2 + 231*v to the form h + n*v**2 + i*v and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-15 - -12 - -7)*1650\/4 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/627 and -31\/9866890?\nAnswer: 29600670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 41 - 58. Let u = y + 16.7. Let x = 3.9 + -4. Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k - 3. Let u(p) = -6*p - 16. Suppose 12 = -2*q - 5*d, -q + 3*q - 3*d = -28. Let t(i) = q*r(i) + 2*u(i). Determine t(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z**(-2))*z**(2\/9))\/(z**(-2\/15)*z**(2\/19)) assuming z is positive.\nAnswer: z**(1924\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of -q**5\/20 - q**4\/3 - 3*q**2. Find the second derivative of w(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -36?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-96)\/2)\/(40\/(-24)*(-6)\/(-5))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 7*r + 2*r - 30, -5*j - r + 48 = 0. What is the highest common factor of j and 5120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*v + 5*z - 2*z, 4*v = 4*z + 12. Let d be -1 + -6 - (v - 3). What is the units digit of (-2)\/d - (-40)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -209*a + 139*a + 73*a. Let p(y) = 4*y**2. Determine p(l(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2800, 5594, 8388, 11182?\n\"Answer: 2794*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 29819008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -2*h - 3*m, 635*h - 627*h + 22 = 3*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -3488*f - 2574152. Determine i(-738).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 5. Suppose -24*i + 8 = -20*i. Let n be ((i - -6) + -5)\/((-6)\/4). What is the second biggest value in 4, f, -0.1, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1772 - 5563*a + 1799 - 3574 to the form q + v*a and give v.\nAnswer: -5563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27640 is divided by 131.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*j**2 - 16*j**2 + 5*j**2 + (5*j + 4*j - j)*(j + 3*j - 2*j) to h*j + n + p*j**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 10*l + 9*l + 2*l.\nAnswer: 21*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + (-1309)\/(-88) + -13)\/(2\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 47*w - 51*w - q + 11, -3*w + 42 = -6*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (5\/60*1)\/(77\/(-56))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(108) + -2 + 5 + sqrt(33)\/(sqrt(132)\/sqrt(3)).\nAnswer: 5 + 13*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6496 divided by 467.\nAnswer: -6496\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 769, 319, -129, -569, -995, -1401, -1781?\n\"Answer: q**3 - 5*q**2 - 442*q + 1215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f + f = 286. Let p = 17 - -6. Let q = p - 13. Calculate the lowest common multiple of f and q.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -5*g**2 + 18*g**2 + 9*g**2. What is the tens digit of o(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*0.113.\nAnswer: -0.0565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6321 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**1\/(h*h**(-2)))\/(h**3*h*h*h*h**4*h)*(h**(1\/2)*h*h**(2\/7))\/((h**(-6\/7)*h)\/h**(-5)) assuming h is positive.\nAnswer: h**(-173\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, -11, 3\/2, -0.3, 140.\nAnswer: -11, -0.3, 3\/2, 37, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -4*p + 7*m - 2*m, 3*p - 3*m = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of 7*p**2 + 5*p - 3263. Calculate r(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 25*z + 125. Let d be n(23). Calculate the greatest common divisor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*d + 620 = 17*d. Let x = -126 - d. What is the nearest to x in -2\/5, -1, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 49*r - 6. Let g(z) = -243*z + 30. Give -21*f(o) - 4*g(o).\nAnswer: -57*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 2 = -16. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 3*w - 5. Give n(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence amk when three letters picked without replacement from {a: 7, k: 7, m: 5}.\nAnswer: 245\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.04 + -0.64. Let o = -0.1 - 0. Let b = q - o. What is the second biggest value in -1\/4, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 82.00325ml to litres.\nAnswer: 0.08200325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 144566467143 plus 0.3?\nAnswer: 144566467143.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 109320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-39)*-24*(-533)\/(-3936).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 - 7*z**2 - 13*z + 5. Let c(t) = -4*t**2 - 513*t - 512. Let p be c(-1). What is x(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*a - 2*a**3 + 5*a**3 - 2*a**3.\nAnswer: a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 3:56 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 17688*t + 1291231. Give o(-73).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1004771.78 + 5.\nAnswer: 1004776.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**3\/2 - 39*c**2\/2 - 45*c.\nAnswer: -3*c*(c + 3)*(c + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 62706*o**2 - 66764?\nAnswer: 125412*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*b**3 - 9 + 6 - 4*b + 3*b to y*b + g*b**2 + t*b**3 + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 6 = -v - 0*v, -5*t - v = -12. Suppose -t*r = r - 124. What is the remainder when 61 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -74 by 2.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -6\/5 and -43\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3645 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12998 = 13*g - 1315. Is g a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 + 250441?\nAnswer: 250450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/((-96)\/84)*36 - -1. Solve -165*c + 181*c = -h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1552.4 - -1794. Let a = -282 + j. Let k = -48 - a. What is k rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 5 = -0*z. Let y(j) be the first derivative of -j**3 - j + 4. Let d(t) be the first derivative of t**3\/3 + 1. What is z*y(c) - 2*d(c)?\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -10\/213621 and -151\/182466.\nAnswer: 419124402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = 37*f - 40*f + 3, 5*l + 3*f + 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 147569693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1127 + -1118. What is the lowest common multiple of o and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 94382449093969*s**2\/3 - 38860252*s\/3 + 4\/3 = 0. Calculate s.\nAnswer: 2\/9715063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 70*a**2*f**2 - a**2 - 2*a*f**3 + 3*a wrt f.\nAnswer: 140*a**2*f - 6*a*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2 + 6*g + 5. Let o be r(-6). Suppose -22*l + 1190 = -17*l. Let s = -236 + l. Solve 0 = s*h - 4*q - 0*q + 4, 2*h + 13 = -o*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.14 - -702315737.\nAnswer: 702315736.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 432 and 35937?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 2079*r**2 - 14*r - 14. What is the tens digit of q(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-221 + 74 + 63)*(n - 2*n + 0*n).\nAnswer: 84*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 42700243 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 19408*w = -19411*w - 13, -3*w + 27 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*s - 123 = -20*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3765, 3754, 3727, 3690, 3649, 3610, 3579, 3562?\nAnswer: 3565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 410983*v**4*z**2 + v**4 + v**3*z**3 + v**2*z - 3*v*z**3 - v*z**2 + 2*v*z - 35*z**2 wrt v.\nAnswer: 9863592*v*z**2 + 24*v + 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1537?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -1074394\nAnswer: -1\/537197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1112\/2755 - 2\/551. Let a be (3 + -7)*1\/(-2). Sort 3\/2, a, o in increasing order.\nAnswer: o, 3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 1 + 1)*(3*s + s + 4*s)*(-2*s**3 - 2*s**2 + 2*s**2) to q*s + n*s**4 + p*s**3 + t + k*s**2 and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-230)\/70*-7 - 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-6))\/((-52)\/(-78)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = 2*i - 6. Suppose i*j - 3*h = -4*h + 59, -j - 2 = -4*h. Suppose 4*z - 2*w = 22, 0*z + w + 19 = 4*z. Solve j = 5*l + p - 0*p, -z*p = l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1066151762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/386410 and 21\/110.\nAnswer: 4250510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 966 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*j - 670*c = -336*c - 335*c - 128, -7*c + 80 = 5*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2352066972 - 0.56.\nAnswer: 2352066971.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 - 4*b + 1340. Let k be f(34). Let a(v) = v + 7 + 2*v - 1 - 4*v. Let h be a(0). What is the highest common factor of h and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 238 + 36 = 4*h, -4*z = 5*h + 273. Calculate the remainder when h\/(-2) + 2 - 12\/(-8) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000062361 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 - 26 - 16 - 4*p**3 + 69 - 8.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8813224 or 79319023\/9?\nAnswer: 79319023\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 11*b + 3. Let u(f) = -9*f**2 - 14*f. Let j(t) = 8*t**2 + 12*t. Let k(n) = 7*j(n) + 6*u(n). Determine z(k(y)).\nAnswer: 22*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 - 6 + 3*h + 9*h**3 - 2*h**4 + 10*h**2 - 7*h**2 - 4 + 11*h**2 in the form q*h**2 + p*h + z + j*h**4 + u*h**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (55 - 31) + -17 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of -v**4\/12 - v**3\/6 - v**2 + 13*v. Let c(k) = k**3 + 3*k**2 - 4*k + 1. Let h be c(-4). Let w be h - 1\/(1\/4). What is m(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 801653\/72941 - 4\/(-418).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 238 = -2*j, -5*b - j - 20 = 274. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 158, 335, 526, 737, 974, 1243, 1550, 1901?\n\"Answer: f**3 + f**2 + 167*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -979 - -1035. Calculate the smallest common multiple of w and 20.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6191363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, 46, 89, 138, 187, 230?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1110011011010 (base 2) to base 9.\nAnswer: 11116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - 42\/(-9))*441\/(-28). Does -2 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -94 - 14 - 3*h + 4*h + 22 to b + m*h and give b.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -22113942.157 to the nearest ten thousand.\nAnswer: -22110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*b**3 + 37*b**2 + 118*b + 5 wrt b?\nAnswer: 72*b + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of x**8\/4480 + x**7\/560 - x**5\/20 - 17*x**4\/8 + 37*x**2. Let a(l) be the second derivative of f(l). Factor a(h).\nAnswer: 3*(h - 1)*(h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-10)\/4*5\/25*-16. What is the common denominator of -11 and (f\/(-20))\/((-36)\/40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6095 - -6098. Let j(u) be the second derivative of 0 - 1\/6*u**i + 0*u**2 + 12*u. Let c(l) = -25*l**2. Give j(c(b)).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m**3 + 77*m**2 + 248*m + 98. What is o(-35)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -14895*l**2 - 60*l - 48. Let k(u) = 44686*u**2 + 182*u + 142. Let r(o) = -8*c(o) - 3*k(o). Find the second derivative of r(w) wrt w.\nAnswer: -29796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2017174097?\nAnswer: 241, 2531, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**2 - 19096570*m - 18233949288245.\nAnswer: -5*(m + 1909657)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is a1 (base 13) in base 15?\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 6894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, z: 1, v: 3, a: 2, t: 10}. Give prob of sequence zlvz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -114032 - -341881. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -23*d + 45*d**2 + 24 + 3*d**3 - 22*d - 27*d**2 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -219, -4, 5, 2 in decreasing order.\nAnswer: 5, 2, -4, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**3 - 5*u**2 + 2*u - 3. Suppose 5*q - 4*h + 20 = 0, -3*q - 16 = q + h. Is d(q) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (0 - 2)) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*q + 32*q = 30. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 + 25. Suppose -2*j = -2*k - v, -4*j = 2*k - 4*k - 14. Solve -1 = y + j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 23843.1 to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j - 21. Is 3 a factor of o(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of -1\/6*j**6 - j**2 + 0*j**3 + 0*j**4 - 1 + 0*j + 0*j**5. What is the second derivative of y(o) wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 86 - 18. Suppose z + 13 - x = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -4*g + 2. Let n = 101 + -105. Determine p(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from czccczczczczcazcc. What is prob of sequence zzza?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 20.7 times 6.6492\nAnswer: 137.63844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/5*(-5)\/(-1). Let l(v) = -v**2 + 10*v - 40. Let g be l(5). Let t(p) = 2*p + 41. Let u be t(g). Which is greater: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 15) to base 16.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 + 5*v - 32. Calculate q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -12*r - 15. Let b(v) = 14*v + 18. Let a(z) = -5*b(z) - 6*f(z). Let y(q) = 4*q**2 + 24*q. Calculate a(y(j)).\nAnswer: 8*j**2 + 48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -468*s - 10. Suppose -2*l = 4*c + 2*l + 20, -2*l - 8 = c. List the prime factors of j(c).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2*i**2 - 13*i + 105. Determine d(-12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -74 and 0.082.\nAnswer: -73.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -6*(-177)\/(-21)*21\/(-18)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11716*d**2*k**2 - 3*d*k**2 + 538*k**2 - 1 wrt d?\nAnswer: 23432*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m + 175. Let k(x) = -43923*x**2. Give s(k(l)).\nAnswer: -87846*l**2 + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, -9\/7, 0.75, -3, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1309860 by -261972.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5538194649488.9589859 + -5538195570824. Let u = -921335 - i. Let s = -0.041 + u. What is s rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13609271*x**2 - 180921263?\nAnswer: 27218542*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2202*u + 50643. Calculate j(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2359*q + 1494 + 856 = -1562*q - 1635 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -370 - -215. Let w be ((-42)\/9)\/((-2)\/114). Let p = s + w. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 n when three letters picked without replacement from nsws.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1*(-2 - -3))\/(3\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-2)\/3*23274\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -3 - 746379*m + 140666*m - 6. Let h be v(7). What is h rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9059.09 kilometers to millimeters.\nAnswer: 9059090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - o - o + 3)*(96 - 96 - 33*o).\nAnswer: 66*o**2 + 66*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 42 + 47 = x, 5*o = 4*x + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-355)\/(-25) - (-2)\/(-10). Which is greater: 13 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j + 6. Suppose 2*g = -4*q + 12, 2*q = 2*g + 5 + 1. Calculate v(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jmish. What is prob of sequence ihs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2*b**3 - 260*b**2 - 5990*b + 12. Determine x(-20).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10442094?\nAnswer: 2, 3, 13, 133873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - -10313?\nAnswer: 10320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-38)\/(-14) - 2\/(-7). Let b be ((-1)\/(-2))\/(q\/30). List the prime factors of 13\/1 - (b + -4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 640, 610, 544, 430, 256, 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*6\/4*((-50)\/6 + 7). What is the third biggest value in n, 30, -0.02?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 - 13*z - 15. Let q be y(13). Let a be ((-16)\/(-40))\/((-3)\/q). What is the third derivative of -4*n**5 + 12*n**2 - 3*n**5 + a*n**5 wrt n?\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -2 + 11 + (9 - 24) + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o**2 - 22*o - o**3 - 7 - 23*o - 5*o**3 + 40*o + 4*o**3 as l + g*o**3 + q*o + s*o**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 26 = -3*q, 22 = 5*q + 2*u - 6*u. Suppose q*m - 77 = -35. Calculate the remainder when 13 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 165 - 3160*q**2 - 164 + 3161*q**2 - q. Let w = 0 - -2. Let y(j) = 8 + 6*j**2 - 2 + 3 - w*j**3 - 8*j. What is -6*p(t) + y(t)?\nAnswer: -2*t**3 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 2354632?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 360449?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2583419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/1295?\nAnswer: 1\/1295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, d: 3, a: 2, x: 6, n: 1, y: 2}. Give prob of picking 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (2432 - 182*j - 235*j + 423*j)*(-2 + 1 - 1) as b*j + o and give o.\nAnswer: -4864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3010329555?\nAnswer: 3, 5, 31, 47, 181, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.17 and -1367.\nAnswer: 232.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*q**3 + 5126240 - 5126240.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7691\/19 + 407. Put q, -0.5, 0.2, -0.2 in descending order.\nAnswer: q, 0.2, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 11:00 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0049002 + -0.00582. Round m to five decimal places.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9266 + 11123. Solve -6*q + f = 1845 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -65*n**3*u**3 - 10*n**3*u**2 + n*u**2 - 2*u**4 + 581*u wrt u.\nAnswer: -390*n**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 AM and 8:07 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 8*t**3 - 29*t - 6. Let a(f) = 7*f**3 - 29*f - 4. Calculate -3*a(k) + 2*j(k).\nAnswer: -5*k**3 + 29*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3233 and 4399.\nAnswer: 268339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 - 10*z**2 - 4*z + 5. Calculate n(10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/6  (b) 1\/4  (c) -58  (d) 5\/13  (e) -1\/4  (f) 964\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2716 and 1552?\nAnswer: 10864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of 0 - 1\/6*j**3 + 0*j**5 + 0*j**4 + 0*j + 5*j**2 + 7\/30*j**6. Is t(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16952278 to the nearest integer?\nAnswer: 4117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 2*q, 13*u - u + 37 - 13 = 3*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1542619451 to the power of 1\/2, to the nearest integer?\nAnswer: 39276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 318 + -276. What is the tens digit of 1090\/((-18)\/(-7) - 24\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.8217091l?\nAnswer: 821.7091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3158, -3785, -4414, -5045, -5678, -6313?\nAnswer: -6950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) - -5*sqrt(110)*-3)\/(sqrt(360)*-1).\nAnswer: 7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -116, -490, -1122, -2012, -3160, -4566, -6230?\n\"Answer: -129*x**2 + 13*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1136\/197 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/14553 and 80\/53361.\nAnswer: 160083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -14  (b) -4\/5  (c) -394\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = -9*w + 33, -20*l - 4755 = -3*w - 4689 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 167*d*r**4 - 5*d*r**3 - 111*d*r**2 + d*r wrt r.\nAnswer: 4008*d*r - 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 5 + 8 = -44. Suppose 0 = -w - 4*r + 51, -3*r = 2*w - 5*r - 132. Let d = w + j. What is the greatest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21.91 + 0.09. Let t = f + -37. Let j = t + 18. Which is the closest to 1?  (a) 5  (b) j  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -44*o + 8*o - 20*o - 17*o as u*o + g and give u.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 319 by -29.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 14) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18\/42 - (-554)\/14 is divided by 40.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 + -6 + -1 + 20. Suppose 12*k + 38*k = -31*k + 162. Solve 2*d = -5*w - y, k*w + w + 3 = -3*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, 3384, -5 in decreasing order.\nAnswer: 3384, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -1, 14, 31?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4680 and 2151045?\nAnswer: 17208360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 688 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 361 - 1231?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 686 + -693. Sort y, -6, -2, -5 in ascending order.\nAnswer: y, -6, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*i + 4*w + 64 = 62*i, 4*i + 80 = -5*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 + 2*t**2 - 5*t - 3. Let a be v(-3). Suppose a*h + 2*h = -45. List the prime factors of h\/6*16\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.02, 0, -0.3, 1027?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (88\/28 + (2 - 6))\/(22\/(-77))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 320419471 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w + 108 = -13*w. Let s = -72 - w. Let k be (-80)\/((s\/(-4))\/(-9)). Round k to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20226 by -10113.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1894, -15101, -50952, -120769, -235874, -407589?\n\"Answer: -1887*f**3 + 2*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that j**4 + 2264*j**3 + 20310*j**2 + 33832*j + 15785 = 0.\nAnswer: -2255, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 13659*l + 3 = 13664*l, 0 = 5*f - 4*l + 72 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71 - 2208*k - 20*k**3 - 71 + 6630*k - 2207*k - 2215*k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*p + 57639 = 57409 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 PM and 1:42 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/4 + 63\/84. Let b = -0.224 - -0.024. Sort b, i, -2\/7, 5.\nAnswer: -2\/7, b, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-5*(1*sqrt(27)\/sqrt(9))**2.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 490096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q**2 + 13*q + 23. Determine c(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 41 + -23167401?\nAnswer: -23167340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rgw when three letters picked without replacement from tcdwcgwwgrcgtwt.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -27*a**2 - 81*a. Let x be f(-3). Suppose -2*n + 10 = -3*y, -3*y - 16 = -5*n - 0*n. Solve -2*v + 2*j - 5 + 19 = x, 0 = 4*v + n*j - 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12230642023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-497)\/420 + 10\/8.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 42 and 1036.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6083254 and 18290.\nAnswer: 3658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -5*z - 3. Suppose 3*v - 4*w - 4 = 0, 0*v - 4*v - 2 = 2*w. Suppose 3*x - 5*d = -6, v = 4*x + 4*d + 18 - 10. Give u(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 858*v**2 + 855*v**2 + 1232*v**2 - 3796*v**2 + 856*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of w**6\/120 + 7*w**5\/60 + 4*w**3\/3 - 2*w**2. What is the least common multiple of 2 and i(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -15*u**2 + 5*u - 6. Let t(d) = -15*d**2 + 6*d - 7. Suppose 5*f = -40, 40*r - 44*r = -2*f - 44. Calculate r*n(c) - 6*t(c).\nAnswer: -15*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from flaenffnf. Give prob of sequence ae.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 + 19*g**2 - 42*g - 3. Give t(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.078 - 0.045. Let k = -0.533 + s. Let g = 6 - 5.7. Which is the closest to 1\/4?  (a) g  (b) 2\/5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4945 divided by -23.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 514827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 + 260 = 2*o. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13\/6 in 0, -0.08, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -3*n**2 - 10*n + 9. Let j be k(-9). Let q = -79 - j. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21312795 divided by 39837\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -16 + 33302?\nAnswer: 33253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-26)*9282\/14994?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of i**7\/840 + i**6\/240 + i**5\/240 - 8*i**2. Factor g(y).\nAnswer: y**2*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 364 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2983.7 + 1939.7. What is the third smallest value in b, -2\/19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1080 is divided by 534?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*y**2 + 2415*y - 74?\nAnswer: -4*y + 2415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.772 - -2.972. Let c = -6 - -2. Sort -0.4, 9, c, d.\nAnswer: c, -0.4, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - ((-10)\/4)\/(337\/674)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2868 + -2868. Solve o = -6*u - 27 + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1053?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 + 14*a. Let n be t(-14). What is the biggest value in 4, 2\/9, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121 + 128 = 3*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + o = -32, 406*y - 409*y + 43 = -8*o + 7 - 31 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 63 = 6*m. Let t(z) = -z**2 + 15*z + 1. Let k be t(14). Find the common denominator of (m\/k)\/(12\/10) and 1\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, b: 2, g: 1, x: 4, z: 1}. What is prob of sequence gxc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 44165656793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27, -54, -81, -108?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/80 and 1\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167 = -5*m - 2*g + 193, 3*m - 4*g + 26 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 53117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1597 - 5148*p**2 + 1741 + 2762 + 2439 with respect to p.\nAnswer: -10296*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.2  (b) 854  (c) -1  (d) -1\/15  (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4662565 and -265.\nAnswer: 4662300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/27 and -59\/4707.\nAnswer: 14121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {k: 3, v: 1, s: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -14, -1, 5, 3, 962.\nAnswer: -14, -1, 1, 3, 5, 962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 - -10. Suppose -5 = b*i - 4*i. Put i, -2, 0 in decreasing order.\nAnswer: i, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + 8\/12 - -3. Let y be (3 + 6\/(-4))\/((-39)\/6). Let j = y + 45\/26. Which is bigger: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k + 11. Let y be (1 - 1)*-1*5\/(-10). Let a be n(y). Let m = a + 21. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 3, 78, -0.3, 1\/216, -1\/2 in ascending order.\nAnswer: -11, -1\/2, -0.3, 1\/216, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -14, -21, -16, 7, 54, 131, 244, 399?\n\"Answer: v**3 - 14*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**2 + w**2 + 2*w**4 + (-2*w + 2 - 2)*(-4 + 4 - w**3) - 2*w**4 + 6*w**4 - 2*w**4 + (5 + 3 - 4)*(w**4 + 2*w**4 - 5*w**4) + w**4 - 5*w**4 - 5*w**4.\nAnswer: -11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10873*q**5*r + 10658*q*r + 3*q wrt q?\nAnswer: 217460*q**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -15, -3, 3, 33, 2, -114 in ascending order.\nAnswer: -114, -15, -7, -3, 2, 3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5)\/(5\/(-2)) - -2. Suppose -q + 22 = a*y, 2*q + 10 = -3*y + 29. Let l be ((-40)\/(-5))\/(q\/4). Solve t - 5*p - 1 = -l, p - 14 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 4*u**2 - 4*u - 7. Let c(a) = -2*a**2 + 2*a + 4. Determine 11*c(j) + 6*g(j).\nAnswer: 2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) -1\/5  (b) -2\/3  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 23.28116ng?\nAnswer: 0.00000002328116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmqx. What is prob of picking 1 q, 1 x, and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -10110100011 (base 2) to base 6\nAnswer: -10403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 PM and 1:08 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 41644785 and 59492550.\nAnswer: 416447850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 625352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.607356t in milligrams?\nAnswer: 8607356000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -51 + 50. Let i be (6 - 7) + 23\/21. Which is smaller: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1 from 69267469.\nAnswer: 69267469.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(1300) + 4 + sqrt(1300))*1 - (-5*(sqrt(1300) - (-2*sqrt(1300) - sqrt(1300))) + sqrt(1300) + -1*sqrt(1300) + 3))**2.\nAnswer: 440*sqrt(13) + 629201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 + 0)\/((-14)\/959). Let o = -86 + b. What is the remainder when o is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5 - 96\/20 - (-229)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 184 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 6674816?\nAnswer: -1\/6674816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 5:01 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 2048152.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1006433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 312 - 289. Calculate the remainder when 84 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 95 = p. Let a = 166 + -60. Let s = a + -74. What is the remainder when p is divided by s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -32*h**3 - 8*h**2 - h + 6. Let x(a) = 32*a**3 + 7*a**2 + a - 5. Let b(k) = -6*j(k) - 7*x(k). Suppose 16*d + 3 = 13*d. Is b(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 3 - 29 = 0. Let z = 15 - w. Let i(j) = 13*j. What is the tens digit of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 + 7*x**2 - 6*x + 18. Let d be l(-8). Suppose 0*o + 3*w = -d*o + 19, -5*o - 5*w + 45 = 0. What is the remainder when 44 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -267102 + -5?\nAnswer: -267107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3\/5, -1, 1\/21, 3, 103, 2\/7, 96?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 - 214*q - 3753. Determine l(-22).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 85*w + 5. Let k be g(1). Solve -2*l + k = 94 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 961043*x. Let v(s) = 8*s + 8. Determine o(v(g)).\nAnswer: 7688344*g + 7688344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -24*-22942\nAnswer: 550608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 4*m - 46. Suppose -2*r + r - 6 = -5*k, 5*k = m. Solve -2 = -r*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3870063600?\nAnswer: 2, 3, 5, 13, 17, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 72 and -50?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(1\/6)\/x**2*(x**(3\/14)\/x*x)\/(x*(x*x**(-5))\/x) assuming x is positive.\nAnswer: x**(50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/(-6))\/((-2)\/(-224)). Let h = 347 - d. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1876286041?\nAnswer: 7, 16333, 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/3?  (a) 0.9308  (b) -3\/4  (c) 2\/15  (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 2*(-1*sqrt(1152))**2 + ((sqrt(1152) - ((-1 + -1 + sqrt(1152) - sqrt(1152)) + sqrt(1152))) + sqrt(1152))**2.\nAnswer: 96*sqrt(2) + 3458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*56\/196*(-28)\/400.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 0.1, 13, -3, 1\/2, -2\/1085 in descending order.\nAnswer: 13, 1\/2, 0.4, 0.1, -2\/1085, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of 23*v**6\/120 - v**4\/12 + v**3\/3 - 5230*v**2. What is d(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 52018496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/204 and 68\/1603587?\nAnswer: 109043916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + s + 2*s - 100*s**3 + 55*s**3 + 54*s**3 to a*s + t*s**3 + b*s**2 + g and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - (-1)\/(-6) - 2. Let l be 2*(-4)\/16*6. Let q be (-2)\/4 + l + 7\/14. What is the closest to q in -1, w, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.05656 or -0.1?\nAnswer: 0.05656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = u + 174. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 152560284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.37477215 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-19))\/((-22)\/(-11))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of -a**3\/3 - a**2 - 7. Let u be s(1). Is u - (-4 + -312 + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 4896076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 27058 + -27058.00000053389. What is w rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/471210 and -13\/30?\nAnswer: 471210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 4*f + 2. Calculate q(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25.23 - -17. Let n = r + 0.43. What is n rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2\/7)*p)**(-2\/71))**25*(p**(3\/8)\/p**8)\/(p**(-2))**(-6\/17) assuming p is positive.\nAnswer: p**(-597101\/67592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1.38, -37, -9, -5, 3\/40?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - 3)*(-2)\/8. Suppose 4*q - 25 = -l. Let f = 60 - 18. Calculate the highest common factor of q and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 531.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9864755.6 rounded to the nearest 10000?\nAnswer: 9860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 135 + 157. List the prime factors of q.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 6*a**2 - 4. Let c be x(-6). Let n = c - -6. Suppose -6*m = -2*m - 5*m. Solve 2*i + n*i + 4*v = -8, -2*i - 4*v = m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8 - 10b8?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.1 - 2. Let d be 4023\/39 + (4 - 1). Let z = 106 - d. Which is the closest to v?  (a) 0.1  (b) z  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2660963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 - 60*q**2 - 1846*q - 6643. Calculate v(-19).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -19168 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 u, and 1 b when three letters picked without replacement from jbuunwubxxub.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 less than -166?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26737 - 13648. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and -43.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-62 - -66) + 21 - (7 + 4\/(-2) + 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -5*w**3\/3 - 5. Let d(k) = 0*k + 4*k - 3*k. Determine m(d(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -303204 + 303220. Let q(g) = g**3 - g**2 + g + 106. What is the remainder when q(0) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*(-6 - 25) + 5 + 28.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(242) + (sqrt(242) + 2*sqrt(242) - sqrt(242)) + sqrt(242) + (-2 + sqrt(242) + -2 - sqrt(242)) + -2)**2.\nAnswer: -528*sqrt(2) + 3908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7 - 0) + 6)\/((-2)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (33\/36)\/((-3)\/(-27))*32\/408*17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) - sqrt(1728)*1)\/sqrt(6).\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuekpse. Give prob of picking 1 k and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 86356*w**5 - 3*w**4 - 2*w**2 + 23899*w wrt w?\nAnswer: 5181360*w**2 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1466*d + 1461*d + 3*p + 255 = 0, 102 = 2*d - 3*p for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-10)\/25)\/(4\/20). Let y(k) = 2*k**3 - k**2 - 2*k - 3. What is y(a)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 2. Let g = 587\/4 - 147. Is j greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4965 - -160?\nAnswer: -4805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuucuccccuuuc.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -27*b + 2. Let d(i) be the first derivative of -i**2\/2 + 6553. Give 5*d(z) + v(z).\nAnswer: -32*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*r**3\/11 - 70*r**2\/11 + 34*r\/11 + 10 = 0. Calculate r.\nAnswer: -1, 5\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -285.5 and -0.01?\nAnswer: 285.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*o + 9 = -f + 5*o - 2*o, 127*o - 505 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 12:37 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -29?  (a) 3\/7  (b) -2  (c) -7  (d) 0.0477\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 9*m**2 + 21*m - 17. Let o(d) = 5*d**2 + 11*d - 9. Let t(w) = 6*k(w) - 11*o(w). Let x be t(3). Sort x, -2, 2 in increasing order.\nAnswer: -2, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (19*d**2 - 19*d**2 + d**3 - 1)*((-1 - 2 + 5)*(7*d - 2*d - 3*d) + 72 - 156 - d + 62) in the form s*d + w + j*d**3 + u*d**4 + t*d**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together -451631 and 0.1.\nAnswer: -451630.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 3*w - 15 = 0, 0 = 3*v + 3*w - 9. What is the nearest to 1 in -1, v, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 477*z - 3*z**2 - z**2 - 477*z.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 4*b + n, 23 = 3*b + 2073*n - 2070*n + 35 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 701.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -2*b**2 + b + 4. Let r = 17 + -12. Let k = r + 0. Let a(y) = 1. Let u(p) = 2. Let l(g) = 9*a(g) - 4*u(g). Give k*l(j) - v(j).\nAnswer: 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 206 - -150. Suppose -c = -0*w - 3*w + k, 254 = 2*w - 4*k. Is 39 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40 - 23 - (118 - 44)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 4*l + 3*l = 5, -2*l = -5*j - 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 PM and 10:44 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 890 divide 5293324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -80, -3, -49, -2 in increasing order.\nAnswer: -80, -49, -3, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -219, -1, -2 in decreasing order.\nAnswer: -1, -2, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -6*r**2. Let f(c) = 509*c. Determine f(m(l)).\nAnswer: -3054*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -291 divided by -38.\nAnswer: 291\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 477 is divided by 219.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17580?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 641831483 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5195, -5194, -5193, -5192, -5191, -5190?\nAnswer: -5189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 230*u - 52252 = -2*u - 7244. What is the remainder when u is divided by 69?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -265 and -7662?\nAnswer: 2030430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 AM and 5:53 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -115*q - 117*q - 3*q + 28*q as z + t*q and give t.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3445 = 115*t - 110*t. Is -689 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = v - 2*d, v - 5*d = -6*d - 5. Let b = 162 + -164. What is the fourth biggest value in 0.02, 6, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56\/(-26) + (-1672)\/(-456)*(-12)\/(-22)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t**2 + 11*t**2 - 6*t**2 + t**2 + 0*t**2 + t**2 + (-3*t + 0*t + 4*t)*(-t + 1 - 1).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 6ba?\nAnswer: -6bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1011106268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 82*(-33)\/(-30)*5. Let q = -448 + d. Solve 2*f - o = -1 + 2, q*o = -f + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7575.2651 rounded to the nearest integer?\nAnswer: -7575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12256779?\nAnswer: 3, 17, 67, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/21)\/(7\/49). Suppose 0 = f*l - 6*l. Suppose -2*i + 3*x = -5*i + 177, l = 2*i + x - 113. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1291*s - 726*s - 378 = 592*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from tfsfmfftmmffmfpf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 + -44. Solve -y = w, y = -5*m - 15 - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -p**3*y**3 + 4*p**3*y + 16*p*y**2 - 7*p*y + 74*y**5 wrt y.\nAnswer: -6*p**3 + 4440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 125 = 3*i, -3*i + 2*s + 23 = -114. Let w = -46 + i. Find the common denominator of w*(6 + -5) - 51\/(-8) and -73\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2011000 + -1?\nAnswer: -2011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2 + -3 + sqrt(931) + 4).\nAnswer: -4 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/25640 and -109\/3696?\nAnswer: 11845680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/(-4))\/((-7)\/(-8)). What is the fourth biggest value in 7, -4, -3, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 + 15*j + 19. Let l = -8 + -6. Let c be m(l). Suppose 126037 = 3*s + c*w - 8938, 3*s - 134980 = -4*w. What is s rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 - 0.0613.\nAnswer: 0.9387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-54)\/(-10) + 38\/(-95). Let f be (-75)\/m*2\/2. Let s = f - -18. Solve 0 = v + s*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.79902649 to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 354 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -0.1, -7\/9 in descending order.\nAnswer: 2\/9, -0.1, -7\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 55672463657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2343 + 3555?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z = -11*z - 29*z. Solve -2*a + k - 2 = 0, -6 = -a + 4*k - z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 156 and -87?\nAnswer: -13572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -833*f**3*s - 19*f**2*s - 4*f**2 + 31749*f*s + 2*s - 4 wrt f.\nAnswer: -4998*f*s - 38*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j**3 - j**2 - 3*j**2 - 2 + j**2 + 2*j**2 as m + b*j**2 + v*j**3 + s*j and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -175495 + 62952. Round v to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1385, -1394, -1417, -1460, -1529, -1630, -1769, -1952?\nAnswer: -2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1317658*z**3 + 7*z + 9544758?\nAnswer: 3952974*z**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -30*u**2. Let p(x) = -x - 5. Let q(j) = -2*j - 6. Let y(d) = -6*p(d) + 5*q(d). Give y(g(m)).\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -c - c + 68, 5*c = 5*s + 170. Let f = -24 + c. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4577549ng in micrograms?\nAnswer: 0.0004577549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 PM and 7:12 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -79085  (c) -1\/9  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of -z**8\/224 + z**7\/20 + z**6\/10 - 1016*z**2. Solve b(l) = 0 for l.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -278\/303?  (a) -1  (b) -21  (c) 2  (d) 1  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from gsqrroe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q + 9. Let u be c(5). Suppose -x - u = 3*x. Are x and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2771\/42 - -414\/7. Calculate the common denominator of a and 8 + (2 + -1)\/(184\/460).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0, 4, 1\/39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -681*w - 9. Let i(v) = -122584*v - 1617. What is 539*f(s) - 3*i(s)?\nAnswer: 693*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/6 + (9 - (-104)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b - 3*b = 21. What is the least common multiple of b and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (15*1)\/(-2 - (-23 + 24)). Sort u, 0.04, -0.5, -1\/3 in increasing order.\nAnswer: u, -0.5, -1\/3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.7 + -2.7. Is 0.07 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*o + 18638343 = 18638470 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (30\/8)\/(3\/8). Suppose 4*u - 2 = l. Solve -7 = -u*h - v, v - 3*v = h + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1274 divided by -26?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - 12. Let m(g) = -2*g - 13. Let b be m(r). Suppose 16 = 4*c + 3*d, 9 = 4*c + b*d - 7. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.2, -3, -0.32, -5\/6, -0.5, 2\/3, -18?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 21817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11201 + -303?\nAnswer: -12110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -113023 (base 5) to base 15\nAnswer: -135d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**4 + 3*p**4 - 2*p**4)*(7 - 1 - 2) - 9*p**4 + 9*p**4 + p**4.\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8113 - 5357 = -183*u - 1122 + 1926 for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -758*u + 248*u - 2*u**3 - 3 + 254*u + 257*u. Let f(k) = 7*k**3 - 3*k + 8. Calculate 3*f(h) + 8*i(h).\nAnswer: 5*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - d - 2 = 0, -5*d = r - 6*r + 10. Put 2, 4, r in decreasing order.\nAnswer: 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 9*a - 8*a. Is 1 + 1134\/a*32\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 255944.\nAnswer: 2, 13, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -6, 26, 2, -5 in descending order.\nAnswer: 26, 4, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of 0 - j**2 + 1\/2*j**3 - 1\/12*j**4 - 1\/30*j**5 - j. Let f(t) be the first derivative of c(t). What is f(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*v - 5*v - 10, -3*q = -5*v - 22. Suppose -q*l + 155 = -49. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.023126 to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 970047, 1940086, 2910127, 3880170?\nAnswer: 4850215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (7 - (1 + (7 - 2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 6*t + 6. Let m be n(1). Find a, given that 5*a - a**2 - 25 + 9 + m = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**3 + k**4 + k**3 + (0*k + 2*k + 0*k)*(2 - 2*k**3 - 2) + (-3*k**4 + 7*k**4 - 2*k**4)*(0 - 2 - 1).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -148, -296, -446, -598, -752?\n\"Answer: -x**2 - 145*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 346 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 675*s**2 - 44*s + 83. Is 55 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -296, -312, -326, -338, -348, -356?\n\"Answer: v**2 - 19*v - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**(-1\/16)\/u)*u*u)**(9\/5)*(u**3\/u)\/(u**(-4)\/u))**(7\/6) assuming u is positive.\nAnswer: u**(1603\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -1062*c**4 + 56282*c**3 + 57560*c**2 + 216*c = 0.\nAnswer: -1, -2\/531, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 343394\/12515 + 404\/2503. Find u, given that -24\/5 + 162\/5*u**2 + 16\/5*u**3 + 8*u - 56\/5*u**5 - h*u**4 = 0.\nAnswer: -2, -1, -3\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 940 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -86, -201, -316, -431?\n\"Answer: -115*i + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in -0.1, 0.0127, 0.06, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 390917, 781843, 1172775, 1563713?\n\"Answer: 3*f**2 + 390917*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 155, -1, -8, -11, 3, -2 in ascending order.\nAnswer: -11, -8, -2, -1, 3, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, z: 7, q: 1, a: 4, u: 1, w: 4}. What is prob of picking 1 z, 1 x, and 1 u?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-2)\/(-6) - 255\/684)\/(1440\/4032) and -31\/570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-16)\/(-140))\/(-5 - (-27)\/5). What is the closest to -1 in -2\/13, -7, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-7\/9)*p)**(-24))**48 assuming p is positive.\nAnswer: p**(-256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - -8. Suppose x = 4*l + l. What is the first derivative of 11 + 5*o**l + 4*o**2 - o**2 + o**2 wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 13899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 4*h = -2792, -67*f + 64*f - 4*h = -4228. What is the highest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*l**4 + 6867577*l**2 + 10127687 wrt l?\nAnswer: 8*l**3 + 13735154*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y - y + 2*y)*(469*y - 191*y + 13*y)*(2*y**2 + 0*y**2 - y**2).\nAnswer: 291*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, x: 10}. Give prob of picking 1 r and 1 x.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-4 + 2 + -6*2*sqrt(1053))**2 - ((1 + (sqrt(1053) - (sqrt(1053) + 0)) + 3)**2 + -4)).\nAnswer: -454872 - 1296*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 36294063*g**2*h**3 - 2*g*h**2 + 248*h**3 + 19847*h wrt g?\nAnswer: 72588126*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -310 - -4?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*p - 90 + 3*p**3 + 217 - 17*p with respect to p.\nAnswer: 9*p**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21332 divided by -5\nAnswer: -21332\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -952, -3782, -8534, -15214, -23828?\nAnswer: -34382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - -1) + 10 - (0 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ncngnnoe. Give prob of picking 3 n and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 467694 - 467694 - 2*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(-2\/3)*g*g**(2\/7))**(-14) assuming g is positive.\nAnswer: g**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j\/((j*j**(-1\/52))\/j))\/(j**12*j))\/(j\/j**23*(j\/((j*j**34)\/j))\/j))**(1\/48) assuming j is positive.\nAnswer: j**(2341\/2496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-9)\/(-6))\/((-1)\/(-60)). Suppose 256*k - 255*k = 3. Suppose 30 = 2*x - 2*w, -3 = -3*x - k*w + 12. What is the highest common factor of x and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -24462 (base 8) in base 4?\nAnswer: -2210302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.9, 4, -0.1, -2, 6, -15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 17 = -45. Let q be ((-7)\/(-2))\/w*-1. Which is the second biggest value?  (a) -0.4  (b) q  (c) 0  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*g + 13*g = 33 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 59*w**3\/4 - 385*w**2\/2 + 2517*w\/4 - 63\/2.\nAnswer: (w - 7)*(w - 6)*(59*w - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 813407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(1\/4)*r\/(r\/((r**(-3)\/r)\/r))*r*r\/((r*r\/r**3)\/r)*(r**(1\/9)*r)\/r assuming r is positive.\nAnswer: r**(-23\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/20*(-10)\/(-45)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9016.0959 to the nearest integer.\nAnswer: -9016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45392352.97484645 - 45392352. Let l = g - 0.1948483. Let z = l - 0.78. What is z rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 140 and 12110?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1661 + -1486. Calculate the remainder when z is divided by 94.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3190 or -3539?\nAnswer: -3190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 2*a = 2*a - 22 - 4, a + 1 = -h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 44*a = 98. Let i be (-4)\/14 + (-23)\/(-7). Suppose -y = -i*n + 322, a*n = 5*y - y + 218. List the prime factors of n.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28 - 18. What is the third derivative of 11*a**2 + t*a**2 - 13*a**6 - 15*a**2 wrt a?\nAnswer: -1560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-7) - (-152)\/133.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of -t**6 - 3*t**5 - 3*t**4 - t**3 + 23. Factor k(z).\nAnswer: -3*z**2*(z + 1)**2*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 2*i**2 + 2*i + 4. Calculate the lowest common multiple of d(3) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 + 6. Let x be 730\/15*(-9)\/a. Suppose -4*o + v + 382 = 0, 2*v - x = 3*o - 362. What is the remainder when o is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -9*y**2 + 189*y - 3072. Let d(r) = 7*r**2 - 190*r + 3072. Let m(a) = 3*d(a) + 2*w(a). Factor m(z).\nAnswer: 3*(z - 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 84 (base 13) to base 2\nAnswer: 1101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**2 + 19*h + 13. Let d(b) = b**2 + 10*b + 7. Let x(r) = 5*d(r) - 3*n(r). What is the units digit of x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 284274 < 284276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 - (1*-6 - -1). Let r(h) = -50 - 22 + 0*h - 5*h + 116 - 2*h - 26. What is r(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qoooqqqqqo. Give prob of sequence oooq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 1 + -3 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-25)\/(2700\/(-168)))\/(52\/936)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15*(-46)\/(-1380)*3*(-3)\/(-27).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o**2 - o. Let s be w(-1). Find p such that -7*p**2 + p**2 + s*p**2 + p + 2*p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 1 + 7. Suppose -d = -4*m + u + 12, -87 = 3*d - 3*m. Let l = d + 50. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 5*x**2 - 3*x. Suppose -17*l + 22*l = 10. Let i be o(l). What is the derivative of 11*n**2 - 6 + i*n**4 - 11*n**2 wrt n?\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -29  (b) -23  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -532 - -341. Let l = 192.97 + u. Let g = -0.03 - l. Which is smaller: -1\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -16*b - 56. Determine o(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of r**4\/12 - r**3\/3 + 9*r**2. Determine t(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 27*m - 22*m = -39, -2*v + 69 = -m. What is the remainder when 493 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 506 - 0?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zxz. What is prob of picking 2 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kwkwwwww. Give prob of picking 4 w.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - 2741808?\nAnswer: -2741810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r + 3. Let j(c) = -2*c + 9. Let q(z) = 11*h(z) - 4*j(z). Suppose -4*l - 4*a - 11 = -7*a, 0 = -2*l - 2*a - 16. Determine q(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 131 - 634. Suppose -2*o = -f - c - 57, -o + 280 = -4*f. List the prime factors of (-2)\/(4*(-4)\/o).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1088 * 15.807.\nAnswer: -17198.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*n + 11*n**2 - 4*n - 3*n - 3*n + 8*n**2.\nAnswer: 19*n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*l**2*q**2 + 4393*l**2 + 1020*l*q**4 + 2*l*q + l - 1 with respect to q.\nAnswer: 12*l**2*q + 4080*l*q**3 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 2)*2\/30*6. What is the nearest to z in -4, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 256202\/(-8) - (-18)\/(-24). Let x = 17074 - j. What is x rounded to the nearest one thousand?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -43.117 + 0.817. Let i = o - -80.6. What is i rounded to zero dps?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 318 is divided by 300?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000033161815 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -12*d + 12. Let y(p) = -13*p + 14. What is -4*g(n) + 3*y(n)?\nAnswer: 9*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -445296275 divided by -1\nAnswer: 445296275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4, 128, 2\/7, -2\/83955, 3?\nAnswer: -2\/83955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230391 is divided by 16456?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + (3*sqrt(832) - sqrt(832)) - (-3*(-2 + sqrt(832) + sqrt(832) - sqrt(832)) - sqrt(832)))*6)**2.\nAnswer: -3456*sqrt(13) + 1078308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 716719 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 206, 878, 2004, 3584, 5618?\nAnswer: 8106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 108\/24*(0 + -2). What is the nearest to 0 in j, 5, -66?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4183\/10 or -419?\nAnswer: -4183\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -0.042, -5 in descending order.\nAnswer: 0.3, -0.042, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2794 = -5*s, -v - 3*v + 11291 = -3*s. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 1:52 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -2*j**3 - 2*j**2 + 3*j - 3. Let b be c(2). Let w(z) = -3*z + 50. Let m be w(9). Let o = b + m. Solve o*p - 6 = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193*g = -198*g + 2*o + 7, -5*o = -2*g + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 23*b. Let i(m) = 129*m**2. Give l(i(g)).\nAnswer: 2967*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 + 2*r**2 + 27. Let x be z(0). Suppose -9 = 2*j - x. Suppose -j*f = -5*f - 8. Let i(g) = 2*g**2 + g - 1. Give i(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11853 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 4697785.5 to the nearest 100000.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of 0*m**2 + 1\/2*m**3 + 2 + 2\/3*m**4 - 4*m. Let r(n) be the first derivative of k(n). Find the second derivative of r(q) wrt q.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 + 12*c**2 - 13*c + 26. Let w be g(11). Factor 10*h**2 + 10*h**4 + 15*h**3 - 14*h**w + 9*h**4.\nAnswer: 5*h**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1 and 103921.869196.\nAnswer: 103922.869196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2943240 rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 191479 and 2454698.\nAnswer: 3139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/6, -1\/3, 5, -0.4, -1\/9 in descending order.\nAnswer: 5, 1\/6, -1\/9, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1148 and -0.988.\nAnswer: 1134.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r - k + 4, -2*k = 5*r + 989 - 1001 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1, -3\/8, 0.07565, 2\/37, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -5*v**2 + 18*v + 54. Let x(z) = -4*z**2 + 18*z + 52. Let a(b) = -2*f(b) + 3*x(b). What is the remainder when 132 is divided by a(10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a**(-3)\/a))**(2\/31)*a**(-20)*((a*(a**(-9)\/a)\/a*a)\/a)\/a*a assuming a is positive.\nAnswer: a**(-920\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/4)\/t)**12)**(5\/8)\/((t**(-1\/3))**(3\/2)*((t\/(t*t\/(t**(-2\/5)\/t)))\/t)**(-3\/13)) assuming t is positive.\nAnswer: t**(-5023\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(1\/8 + 52\/96). Let c = 5 + -3. Let t be k + 10\/(c + -7). Sort 0, t, 12 in descending order.\nAnswer: 12, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*s = 9*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1282236, -1282212, -1282188, -1282164, -1282140, -1282116?\n\"Answer: 24*i - 1282260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 7, w: 2, k: 4}. Give prob of sequence nnnn.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 7:08 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 13 = 5*s. Suppose -s*k = -240 + 48. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.0341 to 2 dps.\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 1\/20 of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -102a69 (base 11) in base 7?\nAnswer: -1255021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 + 8*p - 5. Let r be l(4). Let f = 9 + r. Let k = f + -13. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10100321 + 0?\nAnswer: -10100321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 87\/21046 and 73\/22.\nAnswer: 231506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6175?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 20 + 4)*(12*m + 10*m - 19*m).\nAnswer: -45*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28 and 917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-5)\/63)\/((-3015)\/2814))\/(2\/(-12)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -6*o**3 + 2*o**2 + o**3 + 0*o**3 + 4*o**2 + 2. Let q(p) = -4*p**3 + 5*p**2 + 2. Determine -6*q(w) + 5*r(w).\nAnswer: -w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*n = -55*n + 88. Let v(y) = -2*y**3 + 4*y**2 + 6*y - 3. Let l(b) = -b**3 + 3*b**2 + 5*b - 2. What is n*l(m) + 3*v(m)?\nAnswer: -2*m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 180 = 5*b, 3*b = 2*v + v - 114. What is the remainder when v is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 802c - 2ae?\nAnswer: 7d7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 112, 254, 396?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 + 465*j - 5648. Give i(12).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -767*c**5 - 192*c + 3 wrt c?\nAnswer: -15340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -330765 at most as big as -3638418\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 6 = -3*v - 0*v, -3*v + 3*c = 0. Let o = v - -5. Suppose 3*t = o*t - 144. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4655 - -4654.6. Sort 0.3, 5, l, 2\/13, -11 in decreasing order.\nAnswer: 5, 0.3, 2\/13, l, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-35)*(-798)\/(-18)*42\/14?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h**2\/25 + 5588*h\/25 = 0. What is h?\nAnswer: -2794, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23\/10*u**2 + 47\/10*u**3 + 1\/10*u**5 - 24\/5*u - 18\/5 + 13\/10*u**4 = 0 for u.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -9*f**2 + 4*f - 1. Suppose -5*k + 3*k = -8. Let m(q) = -q**2 + q. Let o(c) = k*m(c) - z(c). Let i be o(-1). Solve w + 25 = i*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 910408410.\nAnswer: 2, 3, 5, 1123961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -336 = -22*c + 566 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 886*g = -143*g + 42124 + 5987 + 9513 for g.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 f when three letters picked without replacement from {w: 7, f: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-10)\/4)\/((-2)\/4). Let q(n) = -8*n + 1. Let y be q(-1). Suppose y = 3*p + 2*a, -p - 3 + 16 = 4*a. What is the highest common divisor of p and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1)\/5*5 + 664 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**3\/9 + 284*r**2\/9 - 9014*r\/3 - 3036.\nAnswer: 2*(r - 66)*(r + 1)*(r + 207)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 j, and 1 a when three letters picked without replacement from jaeahaejjy.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*(l*l**2)\/l*l*l)**(28\/5)*(l\/((l*l**(2\/5)\/l)\/l))\/(l*(l\/l**(-2))\/l*l))**(-18\/11) assuming l is positive.\nAnswer: l**(-2808\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 5*i = -67, 0 = -20286*l + 20287*l - 5*i + 79 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 21\/2 of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of d**6\/120 - d**5\/12 - d**4\/6 - 3*d**3\/2 + 1989*d**2. Give n(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 321, 350, 367, 366, 341, 286, 195, 62?\n\"Answer: -h**3 + 36*h + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/13 + (-1602)\/3471. Let x be 2\/9 + 254\/(-252). Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 2*o**2\/19 - 2820592*o\/19 + 296904 = 0.\nAnswer: 2, 1410294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 451 (base 12) to base 14\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -5.341, -2 in descending order.\nAnswer: -0.1, -2, -5.341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 3 = -4*n - 13, -2*s + 2 = -4*n. Let x be (s\/(-2) - -3)*0. Suppose 0 = -d - x*d + 264. What is the highest common factor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 24*a + 4. Let l be d(2). Let i = l - 573\/11. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 110 - 110 + 27*z**2 as f*z + y*z**2 + a and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 0*n + 12 = 0. Let f(d) = -d - 6. Let i be f(n). Which is smaller: -0.1 or i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 6\/259  (b) -10  (c) 2\/9  (d) 0.5  (e) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -5*t - 2. Let u(j) = 230*j - 143. Let z(a) = 14*i(a) + 2*u(a). What is the derivative of z(l) wrt l?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -168*p**3. Let r(c) = 13*c**3. Determine -5*l(j) - 64*r(j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03561260238 to six dps.\nAnswer: 0.035613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 40967 - 28898. Does 81 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.213683 kilograms to micrograms.\nAnswer: 2213683000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 17c30a (base 13) to base 2\nAnswer: 10010010000001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 11*r**3 + 3*r**2 - 6*r. Determine c(3).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 5.6.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -29 greater than or equal to -51.693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2610*p**3*y**2 + 596*p**3 + 3*p*y**2 - 5*p wrt y.\nAnswer: -5220*p**3*y + 6*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*q - 16*q + 188 - 422 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/48568 and 33\/3736?\nAnswer: 48568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*u - 569 = -791 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tststssstsssss. What is prob of picking 3 s?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85)*-3*4 + sqrt(85))*-4)\/(sqrt(80) - (6*-1*sqrt(80) - sqrt(80)) - sqrt(80)).\nAnswer: 11*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 - 10. Let n be 13 + -1 + (9 - z). Let a be (2 + (-14)\/(-5))\/(28\/210). Calculate the greatest common divisor of a and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/5 + 14*n + 192\/5.\nAnswer: 2*(n + 3)*(n + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7921 - -2?\nAnswer: 7923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 2 = 2*m, 4*m - 6 = -3*h + 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -52.45 plus 291406?\nAnswer: 291353.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/7, 5, 5.3, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-1))\/s*s**6)**(2\/39) assuming s is positive.\nAnswer: s**(10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2105.211 rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(3\/7)*y**23)**50 assuming y is positive.\nAnswer: y**(8200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of -q**7\/1260 - q**4\/12 - q**2. Let z(o) be the second derivative of j(o). Let s(t) = 3*t. Calculate z(s(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of -5\/6*t**3 + 0 + 1\/2*t**2 - 2*t. Calculate l(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mvvm when four letters picked without replacement from {v: 10, m: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 10*g + q - 7251 = 0, 5816 = 4*g - 3*q. Which is bigger: 1452 or g?\nAnswer: 1452","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 60*l - 200. Let n be k(4). What is the third derivative of n*m**2 - 5*m**6 + 18*m**3 + 2*m**2 + 23*m**2 - 5*m + 5*m wrt m?\nAnswer: -600*m**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 755.94 - 967.9524. Let u = -212 - o. What is u rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*a + 161 + 119 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**9\/u**2)\/(u*((u\/(u\/u**(1\/6)))\/u)\/u*u)**(-2\/23) assuming u is positive.\nAnswer: u**(484\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 470.3 + -470. What is the closest to 2\/29 in -0.4, -1, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5978 + 5977.97. Which is smaller: z or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h**2 + h**2 + 2*h**2 - 4*h**2 + 2*h - 27*h**3 in the form r*h**2 + q + d*h + m*h**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 111, 193, 279, 369?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 8.674374um?\nAnswer: 0.0008674374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 363*h**2 - 808*h**2 + 4262*h**2 as c + i*h + q*h**2 and give q.\nAnswer: 3817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3613505 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1812\/7 - 7871\/28. What is the common denominator of r and 127\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 6910*m - 462973. What is v(67)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2 + 2 + 2*l. Let y(m) = 28 - 12 - 16 - 3*m**2. What is y(f(j))?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 - 34*s**2 + 90*s + 92. Let m be l(31). Let q(u) be the third derivative of -47*u**4\/24 + u**2. What is the tens digit of q(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 22 and -0.663073.\nAnswer: 21.336927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4696.719ms?\nAnswer: 0.07827865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + n - 144 + 141 = 0, 10*x - n - n + 10 + 44 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13281 - 1169 + 5*y - 4*y - 12078.\nAnswer: y + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + 1 - 26 - 33)*(-3 - 26*u + 3).\nAnswer: -26*u**2 + 1508*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*i - 32*i**2 + 8*i**2 + 45*i**2 - 45 + 3*i**3.\nAnswer: 3*(i - 1)*(i + 3)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 51*y**3 - 1. Let l(f) = 229*f**3 - 6*f**2 - 2*f - 8. Determine 6*d(i) - l(i).\nAnswer: 77*i**3 + 6*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**2 - 6*w + 1. Let z(a) = -a. Let k(q) = -q**3 - 14*q**2 + 29*q - 54. Let g be k(-16). Determine g*z(t) + n(t).\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3014, -3476, -3966, -4484, -5030, -5604?\n\"Answer: -14*b**2 - 420*b - 2580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -533 - -538. Suppose -3*p + 228 = v*a, a - 2*p - 88 = -a. Calculate the greatest common divisor of 495 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5282, 21056, 47268, 83918, 131006, 188532, 256496?\n\"Answer: 5219*z**2 + 117*z - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of x**3\/6 - 110*x. Let a(t) be the first derivative of -1 + 0*t - 1\/2*t**2. Determine f(a(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2832 and 61556883.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -85*z - 3689. Calculate m(-43).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 + 17*u**2 - 45*u + 18. Determine r(14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2274.85086 rounded to 1 dp?\nAnswer: 2274.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 322253 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 387072.6 microseconds?\nAnswer: 0.00645121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2568720590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 30540220 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19 - ((21 - 16) + -10 + 21)) + 9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6 - -17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 196208 to the power of 1\/2, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 170*c - c - 30*c + 77*c.\nAnswer: 216*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11293178 and 104.\nAnswer: 45172712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11025, -44045, -99081, -176133, -275201, -396285, -539385?\nAnswer: -704501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 1 + 7 = 0. Let w be (-18)\/(-8) - h\/12. Suppose 734 = 4*n + 2*m, 0 = -n - n + w*m + 370. What is the greatest common factor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -6*w - 8*w. Calculate the common denominator of w - (-4 - 100\/(-105)) and 121\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1386\/1176)\/(-11))\/(5\/(-35))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u. Let c(s) = -11*s + 21 + s + 5*s. Let r be c(-7). Let f = r + -59. Let z(v) = 4*v. Calculate f*z(a) - 15*h(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)\/(sqrt(28)\/sqrt(7)) - (sqrt(66)*-2)\/sqrt(6) - 1*(sqrt(132)\/(-3*sqrt(12)) + -5)) + -3.\nAnswer: 2 + 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -457 - 5*z + 457 - 12*z - 12*z**3 + 4*z**3.\nAnswer: -8*z**3 - 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1492, -786, -80?\n\"Answer: 706*y - 2198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 349 divide 16896137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 24*m**4 + 48*m**3 - 60*m**2 - 164*m + 20. Let b(i) = -i**4 + i**3 - i**2 + i - 1. Let q(n) = -20*b(n) - p(n). Solve q(h) = 0.\nAnswer: -18, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 10}. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -728784, -728785, -728786, -728787, -728788, -728789?\n\"Answer: -v - 728783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8 and -49.4?\nAnswer: 395.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 210011000?\nAnswer: 210010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 AM and 3:10 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -406 + 417. Suppose 0 = -i*f - 58 + 47. Sort 5, -43, f in decreasing order.\nAnswer: 5, f, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -1*(2 + 3) + (1584000\/4)\/32?\nAnswer: 2, 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 1014?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(sqrt(18)\/(sqrt(54)\/sqrt(6))) + ((sqrt(405) - (sqrt(405) - (-1 + sqrt(405) + sqrt(405)))) + sqrt(405) + sqrt(405) - (sqrt(45) + 4)**2).\nAnswer: -62 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39 and 219648?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 409376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -226*m + 6*m**5 + 226*m - 6*m**2 wrt m?\nAnswer: 360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3 + 18011*r**2 - 72032*r + 72028.\nAnswer: -(r - 18007)*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-16)*22)\/(18\/48)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 - 27. Let q be 1 + 4*(-4)\/v. Determine o so that 2*o**3 + 0 + 2\/3*o - 8\/3*o**q = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (89 + 109 - 223)*(89 - 89 + 8*j) in the form o*j + n and give o.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1584345638.\nAnswer: 2, 792172819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (15\/(-10))\/(6\/(-8)). Suppose 3 = -m*r + r. What is the remainder when 13 is divided by r\/(5\/(105\/(-9)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*4*(-1 + 4*sqrt(1300) + sqrt(1300) + 2))**2.\nAnswer: 14400*sqrt(13) + 4680144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 107) + (10 - (-17 + 3) - 29).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**0)**(-27))**(-10\/3)\/((o**(-1))**9\/(o**(-1\/6)*o*o**(-2))) assuming o is positive.\nAnswer: o**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13298 and 1586?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 292832315.899999168 - 292832306. Let m = -0.10573 + 10.00573. Let l = m - c. Round l to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**14\/l*l**(-1\/3)*l)\/(l**(-12)\/((l*l**(-7)*l*l)\/l)) assuming l is positive.\nAnswer: l**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of (-2)\/(-1) + 65 + 541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/825264 and -153\/3209360.\nAnswer: 28884240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 20438262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llll when four letters picked without replacement from llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -32.36 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8116 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**4 - 4*x**3 + 48*x**2.\nAnswer: -2*x**2*(x - 4)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ehejs. What is prob of sequence ee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sxsxssssxss. Give prob of sequence sxxs.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - 5 - (-2 + -2 + 58) - (746 - 733).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 31130900 divided by 7782725\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -694\/29 less than or equal to -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 26242039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, e: 4, z: 1}. What is prob of picking 2 e?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = -4*k + 12, -k + 3 + 5 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -202 - -540. What is the lowest common multiple of r and 2?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/8*-134*-22406. Let f = r + 50601. Round f to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 + i + 112. Let j be u(0). Let n(x) = x**2 + 35*x - 2014. Let z be n(31). What is the greatest common factor of j and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.3*-40.517.\nAnswer: -52.6721","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Sort 725, 1, 1466 in ascending order.\nAnswer: 1, 725, 1466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 1\/3*d**5 + 40\/3*d**3 - 16\/3*d**4 + 26\/3 - 10\/3*d**2 - 41\/3*d = 0.\nAnswer: -1, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/1701 and -79\/90.\nAnswer: 17010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 443 + -630. Let i be x*1\/(3\/6). What are the prime factors of (-18)\/(-63) + i\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 17 + 43. Suppose 14*u - 22 = o. Suppose -u*r = 15, 0*p + 4*p - 18 = 2*r. Calculate the greatest common divisor of 11 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + 6*c**2 + c - 1. Let n be 6\/(-15) + 1272\/30. Suppose -b + 8*b = n. Calculate u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 7, j: 2, g: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 453, 2155, 5095, 9267, 14665, 21283, 29115, 38155?\n\"Answer: -d**3 + 625*d**2 - 166*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 3) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*a + 54*a - 22*a - 3*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*y = 21*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1768615174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 - 14*u - 16. Let s(h) = h - 28. Let j be s(16). Does 3 divide b(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 439216?\nAnswer: 2, 97, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 16 = 2*f, 4*r + 2 = -3*f + 29. Let i be 4\/14 - 204\/(-21). Suppose -2*m + 19 = -v, i = 3*m - f*v - 8. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 63.13 - 11.43. Let p = x + -52. Which is the biggest value?  (a) 5  (b) 0.3  (c) 0.4  (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -88.13 + 2.13. Let p = c + 156. Let m = 69.9999595 - p. What is m rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 171, 188, 231, 312, 443, 636, 903, 1256?\n\"Answer: 2*t**3 + t**2 + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 572 - 718. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 26 and -383?\nAnswer: -9958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 58*z - 63*z - 10 = 0, -z + 15 = 7*a + 55 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of 0 + 0*s**4 + 25*s**2 - 1\/1155*s**7 + 0*s**3 + 0*s + 1\/330*s**6 - 1\/330*s**5. What is u in q(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = q + 3*x - 15, 5*q - 98*x + 1 = -94*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from uiu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 31 - 31. Let h(i) = i**2 - 4. Let j be h(b). Let p(w) = -3*w**3 + w**2 - 3. Let o(c) = 4*c**3 - c**2 + 4. Give j*o(s) - 5*p(s).\nAnswer: -s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4335 by 12.\nAnswer: -1445\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*j**2 + 553*j + 13*j**2 + 703*j.\nAnswer: -j**2 + 1256*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 PM and 3:45 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-162)\/(-324)*-3*20\/(-6). Solve 7 = -w + u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -113*g. Let h(y) = -43*y - 32*y - 10*y + 57*y. Calculate 9*h(s) - 2*x(s).\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1694 smaller than -1689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(10\/15 + (-2)\/(-6)). Suppose z = -3*b + 15*b - 4548. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 908294 is divided by 107.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 = -2*h + 4*b + 70, 0 = 3*h - 4*b - 246. What is the smallest common multiple of 78 and h?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 4*h - 5 = -6, 13 = -u - 4*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1b247f + -1?\nAnswer: -1b2480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = -2*r + 3 + 13, 2*g - 5*r = -29 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 + 13*f - 9. Determine q(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -40925, -161426, -362263, -643436, -1004945, -1446790, -1968971?\n\"Answer: -40168*p**2 + 3*p - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**3 + 7*o**2 - 4*o - 1. Let w be (-840)\/(-108) + (-4)\/(-18) - 5. Give q(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -81.1 + 81. Which is the nearest to k?  (a) 0.3  (b) -0.94  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (1 - 5 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -9*p + 190. What is y(18)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (33 - 17) + (-6 - 18) + (-4 - -1) + 0\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*((m\/m**(3\/17))\/m)\/m*m*m**(-18)*m)**(2\/19) assuming m is positive.\nAnswer: m**(-516\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 - 21*d**2 + 3*d + 50. Let g be o(-21). Put -4\/5, 0.2, g in decreasing order.\nAnswer: 0.2, -4\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:48 AM and 3:05 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -5\/832  (b) 2\/21  (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 266888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -217767112*m**3 + 296475675 wrt m?\nAnswer: -653301336*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/5))**(-14)*(m*m**17\/m)\/(m**(-16)*m) assuming m is positive.\nAnswer: m**(174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2226136777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**0)\/q)\/((q\/(q**(-1\/3)*q*q)*q)\/q)*(q**0)**(-48) assuming q is positive.\nAnswer: q**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 198 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of 2*b**6\/15 + 44*b**5\/5 + 111*b**4 - 6700*b**3\/3 + 10000*b**2 + 4918*b. Factor o(p).\nAnswer: 4*(p - 4)*(p - 2)*(p + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -111, 12, -3\/764 in descending order.\nAnswer: 12, -3\/764, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -55*o**2 + 613*o - 1305. What is q(8)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -1065*t**3 + 13*t**2 + 5*t + 5. Let g(q) = -533*q**3 + 7*q**2 + 3*q + 3. Give -3*b(c) + 5*g(c).\nAnswer: 530*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 17137662 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y - 9. Let b be u(-9). Suppose -2*f + 12 - 4 = b. Suppose -h + f - 2 = 0. Solve 4*d - h*v - 2 + 16 = 0, -2*v + 7 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of k**2 + 14. Let t(p) = 30*p**2. Determine t(o(u)).\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 + 5*m - 3. Suppose 0 = 2*t - 0 - 16. What is the remainder when t is divided by u(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 394528990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1861777ug in milligrams?\nAnswer: 0.0001861777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4976005 divided by 995201?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -569065\/51 - -11159. What is the common denominator of q and 143\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 142 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1578 is divided by 1508.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*j - 203 + 323 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.081, 11843, 0.16, -1\/3 in increasing order.\nAnswer: -1\/3, 0.081, 0.16, 11843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -y. Let w be (-1 - y\/1)*-11. Let d = -14 + w. Which is the second biggest value?  (a) d  (b) 5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-36)\/(-2)*6\/4. Suppose 0 = k + 3, -r + 2*k - d - 132 = 0. Let h = -112 - r. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r + 2*r + 3*r - 2*r - 2*r + 3*r + 0*r + r - 2*r + r + 6 - 6 + (3*r + 0*r - 5*r)*(1 - 1 - 2) + r + 3*r - 2*r + r + 0 + 0.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -8*h + 1. What is the tens digit of w(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28506?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3271883, -6543771, -9815659, -13087547?\n\"Answer: -3271888*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 675*k = 622*k - 212 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 27 from 1.9154.\nAnswer: -25.0846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 4*-4*(-1 + (sqrt(3)*1)**2).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 19457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(3\/7))**(-2\/39)*((u\/(u**(3\/31)\/u)*u)\/u)**(-2\/7) assuming u is positive.\nAnswer: u**(-746\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 3*a + 5 - 12, 2*a - 26 = -2*b. Calculate the remainder when 15 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 3)*((0 + c + 0)*(-1 + 5 - 2) - 3*c + 2 - 2).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2240 divided by 521.\nAnswer: -2240\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 30 + 4 + -22 + 52 - ((-1 - 5) + 3)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -462.3 - -347. Let n = 115.4681 + b. Round n to 3 dps.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*s**2 + 27*s**2 + 43*s**2 + 28*s**2 - 3*s**2.\nAnswer: 34*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -56 - -61. Suppose -4*y = -2*b - 6766, a*b - 8468 = -5*y + 4*b. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 5*q - 5, 4*p - 5*q = 3 - 0. Solve -15*z - p = -14*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56286?\nAnswer: 2, 3, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8466\/24 - 3\/(-8)*-2. Suppose -9*z + z = -c. Is (-8737)\/(-5) + (4 - z\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -4*b - 4. Suppose -2*k + 4*k = 50. Let x = k - 21. Let w(m) = -3*m - 2*m + 3 - x - 4. Calculate -3*c(t) + 2*w(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of 1\/2*p**2 - 2 - 1\/12*p**4 + 2*p + 0*p**3. Let w(j) be the first derivative of f(j). What is the derivative of w(o) wrt o?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27617701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of -1\/4*f**4 + 4*f + 0*f**2 + 3 + 0*f**3. What is the remainder when 6 is divided by d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2598 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*q + 53 + 40 + 32 - 125.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 625 + -36*18\/54 + (1 - -6) is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -31*y - 38*y + 72*y + y**4 wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n + 9*n + 5*n + 18*n.\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h**3 - 5674*h**2 + 45520*h = 0.\nAnswer: -2845, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*d - 13412 + 13634 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 38*p - 37*p - 477, -2022 = -4*p + 3*q. Calculate the greatest common divisor of 21 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -b - 1. Suppose -r - 38 = -2*r + 4*t, -r + 36 = -b*t. 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: Calculate -241580 divided by 1285.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -3*j**2 - 213*j + 216 = 0?\nAnswer: -72, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 - 32*w - 2646. What is q(70)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/11  (b) -2  (c) 0.8  (d) -1865  (e) -2\/9  (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*v - 10*v + 2*v - 19*v - 7*v + 0*v)*(207*v + 220*v - 164*v).\nAnswer: -11572*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 178933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*p + 52 - 68. What is the third derivative of 6710 - 99*k**3 - 6710 + 55*k**p wrt k?\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 - w - 2. Let t(c) = 22*c**2 + 6*c + 29. Let i(o) = 5*b(o) + t(o). What is the first derivative of i(n) wrt n?\nAnswer: 54*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25190201977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 7, p: 4}. What is prob of sequence pp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 - -1 - (-72 - -91)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44949174 is divided by 2769.\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 - 12*v - 1. Let s(z) = z**3 - 2*z**2 - 7. Let f be s(3). Suppose 0 = -4*p - d + 54, -d + f*d - 12 = -p. Is g(p) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 372*p - 2985 = 502 + 4325 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -312 - -494. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 0 - (-10 + -44 - (6 + -102))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.5921428 + 0.46865148. Let g = z + 0.0234918. Let f = 0.1 + g. Round f to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -5373, -4848, -3977, -2760?\n\"Answer: 173*y**2 + 6*y - 5552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -18.8 and 0.097.\nAnswer: -18.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 36\/19393 and 169\/581790.\nAnswer: 581790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -1 + 5*t**2 - 9*t**2 - t**3 + 23 - 20 + 3*t**2 + t. What is p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/1392 and 109\/28?\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 11 + (-2 + (-40 - -4) - (28 - -7 - 26))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*v + 40*v - 33*v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p**3 - 6*p**3 + 62*p + 25*p + 3*p**3.\nAnswer: -4*p**3 + 87*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 48864999*l**3 + 72493131*l wrt l.\nAnswer: 293189994*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (0*(16\/48)\/(8\/12))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-4\/3)*(o\/(o*o**(-7)))\/o)**(-2\/19))**(-8) assuming o is positive.\nAnswer: o**(224\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 33 + 2609634789762\nAnswer: 2609634789795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 + 2*c. Let n be m(2). Suppose -4*a - 5 = 2*y - 33, 5*a - 20 = 5*y. Let k be (1\/a)\/((-4)\/6). Is k >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10150 + 554?\nAnswer: 11144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 7:49 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.82 + -84.4.\nAnswer: -80.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20352 - 20364. What is the second biggest value in j, 3\/11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3786*q**2*y - 5566855*q**2 + 24*q*y - 167*y wrt y?\nAnswer: -3786*q**2 + 24*q - 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, m: 2, p: 1}. Give prob of sequence gmm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u**2 - 1. Let v be f(-1). Let x be 7 + (v - 1) + (-19 - -20). Let r(z) = z**2 - 7*z + 6. What is r(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*v - 100 + 100)*(-3 - 2 + 3) - 6*v - 8*v + 17*v - 3 as l*v + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -2, 10, 0.04, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 + 1. Suppose -3*j + 2*c = -7, -j + 6*j - 4*c = 13. Let w be v(j). Suppose w = -3*p - 5 + 17. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - 2*i. Let w be -2 + 2 + (3 - 2). Let p be z(w). Suppose -4*g = -2*f - 12, 0 = 2*f - 7*f + 5*g - 20. Is p > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*t - 3*f, -6*f - 20 = 5*t - f. Let k = t - -6. What are the prime factors of (-14)\/k - 1\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1009 - -1520. Let b = -515 + l. What is the second biggest value in -1\/3, b, -0.02, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 316*o*u**5 - 56*o*u**4 + 6*o*u**3 - 3*o + 23703*u**2 wrt u?\nAnswer: 18960*o*u**2 - 1344*o*u + 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 37 (base 15) to base 3\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4 = -5*m + s, 5*m + 2*s - 8 = 0. Which is smaller: m or 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*g + 60*g - 468 = 14*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8620116kg in tonnes?\nAnswer: 0.0008620116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43108 is divided by 61.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 5*a = s - 30, a = 3. Solve -s*o = 8 - 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r**3 - 6*r**2 + 3*r + 10. Let i be m(-3). Suppose -14*d - i = -15*d + v, 0 = 4*d - v + 8. Let w(g) = -g**3 - 3*g**2 + 4*g. What is w(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 80199 and 11457.\nAnswer: 80199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 - 2*u. Let d be v(2). Suppose -5*j = s - 23034, d*s - 5*s - 5 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1578, 3134, 4684, 6228, 7766?\nAnswer: 9298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 5*v - 1152 = 0, -v - 4*v - 586 = -2*i. Let z = i + -182. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -157, -156, -155, -154, -153, -152?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1435 (base 16) to base 6\nAnswer: -35541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 176337701 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2*d**3 + 19*d**2 - 10*d + 13. Let v be x(9). Is v greater than 76\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 PM and 8:22 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-8) - 26\/(-4). What is the remainder when (k - -3)*6\/4 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 3 = -0*d. Suppose 0*g - g = -d. Suppose 13 = 7*w + 6*w. Calculate the greatest common divisor of g and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8346996 = 29*i + 8345459 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 872 divide 199109864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z + z + 0*z + (3 - z - 3)*(-1 + 0 - 2) + 1 - 5*z - 1 + (-5 + 0 + 1)*(-4*z + 3*z - z + (-2*z + 0*z + 3*z)*(4 - 2 - 4) + z - 2 + 2 - z - 3*z + 0*z).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53897 divided by -1.\nAnswer: 53897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3906534468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -5*c - 60, -2*o + 36 = -3*c + 2*c. Suppose 16*a + 104 = o*a. Solve -b + 5*g = 0, 3*b + g + a = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -14*(0 + (-1)\/2). Let p = 5842 - 17503\/3. Which is bigger: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 AM and 4:27 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/462 and 5362\/(-665280)*-9 + (1\/(-10))\/1.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -673.89 + 674. Which is the nearest to -2\/3?  (a) g  (b) 0.4  (c) 0  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 10, 13, 6, -17, -62?\n\"Answer: -d**3 + d**2 + 7*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12*u**3 + u**2 - 1659*u - 47736.\nAnswer: 36*u**2 + 2*u - 1659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iqpxxiidixivx. What is prob of picking 1 q, 1 d, and 2 i?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39420, 39429, 39446, 39471, 39504, 39545?\nAnswer: 39594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + 5*s**2 - 3. Suppose 0 = -2*f - 2*f - 24. Let w be m(f). Is 13 a factor of (w + 0)*(0 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7923 is divided by 377.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 + 2. Let w(k) = -376*k**3 - 14*k**2 + 7*k - 5. Let a(v) = 2*i(v) - w(v). Let t be a(-13). Round t to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -938 = -11*s - 993 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - v**2 + v - 1. Let d(w) = -4*w**3 - 8*w**2 + 5*w - 19. What is d(y) - 3*r(y)?\nAnswer: -y**3 - 5*y**2 + 2*y - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4921127815 + -1.0384.\nAnswer: 4921127813.9616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ssfeefeekkoo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence krb when three letters picked without replacement from {b: 1, f: 1, z: 1, k: 1, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6 + (-1)\/2*0. Let b be (-3*(-15)\/(-27))\/(((-32)\/264)\/4). Solve -17*a + y*a = -b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 749 is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -67675 times -1994.5?\nAnswer: 134977787.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -5. Let r(c) = -3*c - 18. Let y be r(-6). Sort m, -5, y in increasing order.\nAnswer: -5, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 17 - -43340041?\nAnswer: 43340058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00010214134219 to 6 dps.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -782.178 to the nearest 10.\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -133, -79, 389, 1493, 3455?\nAnswer: 6497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -0.65206  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {o: 11, c: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 4*u**2 - 30*u + 617. Does 9 divide l(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 12:23 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*c**6 - 331*c**3*d + 5*c**2 + 364*d wrt c?\nAnswer: -240*c**3 - 1986*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-10259)\/(-4))\/((-296)\/(-13024)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15.9 - -16. Which is the nearest to -0.1?  (a) 0.3  (b) -3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10.39, -3, 1\/5, 7.\nAnswer: -3, 1\/5, 7, 10.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8759094.\nAnswer: 2, 3, 1459849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - 7*v**2 + 12*v - 7. Let w be f(5). Suppose 150 = x + w. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 + u**2 + u + 5. Let g be t(0). Suppose 7 = -4*c - 3*y, -3*y = -c + y + 22. Let m(q) = q**c - 5 + g. What is m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 9059.\nAnswer: 36236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20119845 is divided by 2552?\nAnswer: 2429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.7?  (a) -13\/3  (b) 0.1  (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4898, 2105, 9108, 16111, 23114?\nAnswer: 30117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9a101604 - -3?\nAnswer: -9a101601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 22735860 divided by -5\nAnswer: -4547172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, -0.15, 2.93, -4, 1\/3 in increasing order.\nAnswer: -4, -0.15, 1\/3, 2.93, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -2*x. Let a(d) = 5*d**2 - 2*d. Suppose 3*w + 6 - 3 = 0. Let n(v) = -v**2. Let c(l) = w*a(l) - 4*n(l). What is 2*c(s) + r(s)?\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -5*q + 2*q. Suppose -2*t = 10, q*m - 5*m + 9 = -2*t. Sort -2, m, 2.\nAnswer: -2, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -255225 or 12?\nAnswer: -255225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/15  (b) -5  (c) -0.2  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -399 divided by -37288?\nAnswer: 399\/37288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b95 - -dd7?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -162 - -342. Round o to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 70 and 6470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6, e: 1, i: 1, w: 1}. What is prob of sequence ei?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 15 - 3 = 0. Suppose -44 = b*q - 56. Suppose 0 = -2*a - 7 + q, 3*a + 176 = 2*s. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4644 - 4644 + 8*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.09 in -161, -24, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + -4. Suppose a*r - 40 = -5*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -229142 + 229142 + l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 95031.18mm?\nAnswer: 0.09503118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/(-147)*9*168\/68)\/3?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7573726 plus -0.297?\nAnswer: -1.0543726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.05689664 rounded to four dps?\nAnswer: 0.0569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 87, 89, 93, 99?\n\"Answer: u**2 - u + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -328 - 330 - 272*g**2 + 991 - 333 to m + u*g + k*g**2 and give k.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-26 + 2)*(-2)\/3. Let w be i - (-3)\/(-9)*9. Let u(z) = -z + 1. Let s be u(7). Let f(t) = 17*t + 2. Let q(y) = 8*y + 1. Calculate s*f(r) + w*q(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 192584 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 130*w + 438. Give f(-2).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2*n**2. Let o(s) = 11048721*s**2. Calculate d(o(m)).\nAnswer: 244148471471682*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 3 + 0)*(-42 + 60 + 596*q - 21).\nAnswer: -1788*q + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) - (1 + sqrt(3)*-1) - sqrt(3)) + 1 + sqrt(3) + 4 - (sqrt(3) - (-1*sqrt(24))\/sqrt(8))*2)**2.\nAnswer: -16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21 + -31114?\nAnswer: -31140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (7 - 2)*(-6)\/(-10). Let d be 40\/(-30)*c\/(-14). What is the closest to d in 1, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**2 - 144 - 140 + 262 + 9*h. Let w be i(2). Solve -w*g - l + 17 = 0, -2*g - g - 5*l = -17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 - 2*w**2 - 41*w + 112*w - 75*w - 17. Let z be y(-4). Solve -5*l + 4*d - 2*d - z = 0, 5*l = -d - 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1806786164418 - 0.4.\nAnswer: 1806786164417.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*n = 89*n - 14420. What is the remainder when 798 is divided by n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.5 - 0.3. Suppose -2 = v + 1. Let y be 5 + -12 + (-1 - v). Sort b, 1\/2, y.\nAnswer: y, b, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 54674229 to the nearest integer?\nAnswer: 7394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/7 - (-558)\/567. Let q = 55\/18 - x. Factor q*p + 3\/2*p**2 + 1.\nAnswer: (p + 1)*(3*p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -7724*a**2 + 21068*a + 6312 = 0.\nAnswer: -526\/1931, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84642512.\nAnswer: 2, 5290157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(3*(-10)\/12). Let r = m - 17\/15. Put -3, r, 1 in ascending order.\nAnswer: -3, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 12 = q. Suppose q*k + 2*n - 26 = 0, -4*k + 3*k + 11 = 5*n. Suppose k = 5*a + 1. What is the highest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8925.306 millennia in months?\nAnswer: 107103672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 336995 is divided by 487?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 371 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 105 = -o - 4*o, -o + n = -15. Solve 0 = -o*t + 21*t - 2*s + 12, -2*s = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(684) - -2*(2 + sqrt(684))) + ((sqrt(57)\/sqrt(3) + 2)*3)**2 + 0.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 13268, 0.4, 0.1, -17, 1, -4, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19\/(-950)*10)\/(6\/504*7).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79016*a - 79016*a + 590*a**2 + 5*a**3 = 0 for a.\nAnswer: -118, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of k**2 + 36*k + 0 + 1\/6*k**3. Let h(l) = -2. Calculate -3*h(p) - 2*r(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -4*n - 11. Let c(j) = 2*j + 1. Let a(m) = c(m) + g(m). Let k be ((-2)\/(-4))\/((-1)\/12). Let o be a(k). Solve 2*q + o = -0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 AM and 8:41 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 2 + (-5 - -11 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 16*r**3 + 7*r**2 - 3*r + 8. Let w(x) = 5*x**3 + 2*x**2 - x + 3. What is 2*b(k) - 7*w(k)?\nAnswer: -3*k**3 + k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -3*q**2 + q**3 - q + 2*q**2 + 3 + 0*q - 2. Suppose 3*j - 6 + 1 = p, 0 = j - 2*p. Let g(o) = 3*o**2 + 2*o - 2. Determine j*c(x) + g(x).\nAnswer: 2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 416 divide 8832145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 47 - 46.9. What is the biggest value in 2\/9, -4, -1\/6, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1267 + -389. Which is the smallest value?  (a) -0.2  (b) 2\/21  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h**3 - h**2 + h - 1. Let y(n) = 2*n**3 + 3*n**2 - 4*n + 6. Give -4*u(j) - y(j).\nAnswer: -10*j**3 + j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 125, 124, 123, 122?\n\"Answer: -c + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*n - 5. Let w be 3 + (0 + 0)\/3. Suppose -w*r + 22 = 34. What is the second smallest value in 1\/11, r, n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*z**4 - 3*z**4 + z**3 + 5*z**4 + (30*z**2 - 30*z**2 - 9*z**3)*(-5*z - z + 4*z).\nAnswer: 16*z**4 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*d**2*i + 3*d**2 + 3*i**3 - 24 wrt i?\nAnswer: -2*d**2 + 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -7 - (6 - (6 + 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 12\/179?\nAnswer: 12\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 38495887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60 and 4128?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18 + 23. Suppose 0 = -4*t + 2*c + 2390, -5*c + l = -0*c. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15*a**2 + 4*a**4 + 1 + 2 - 3 wrt a.\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29 - 26. Calculate the highest common factor of 33 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110101111 (base 2) to base 7\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 182302 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f*f**(1\/8))\/f*f**(1\/6))**(-47)\/((f**(-4)\/(f**(-4\/5)*f))\/((f\/(f**5\/f))\/f**(-2\/5))) assuming f is positive.\nAnswer: f**(-7093\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10492.\nAnswer: 2, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 376384 or 376105?\nAnswer: 376105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -3 + (-1 + sqrt(72))**2.\nAnswer: -12*sqrt(2) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 58 - (-20943)\/819 - 4\/((-56)\/6)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45338?\nAnswer: 2, 22669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-30)\/(-4) + 2\/(-4). Let s = n + -6. Let z(u) = u**2 + 4*u. Let f be z(-4). Which is greater: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1097.09 and -0.2?\nAnswer: -219.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-444)\/(-590)*(-6)\/18. Let v = -4957\/1180 - y. Let o = 792\/13 + -4193\/78. What is the common denominator of v and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3149970 or 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000086015 rounded to six decimal places?\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 - -5. Factor 41*p**4 - 6*p**b - 7*p**3 - 8*p**3 - 5*p**4.\nAnswer: 3*p**2*(3*p - 2)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-8)*l*(l**(-3\/7)\/l)\/l assuming l is positive.\nAnswer: l**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21.5 - 21. Sort l, -0.3, -3\/4, 1.\nAnswer: -3\/4, -0.3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 + 15*z + 17. Let s be p(-14). Suppose 5*o + 8 = 2*o - 4*f, s*f = -15. Suppose -o*h = 5*g + 12, 2*g + 12 - 4 = 0. Solve -4*i - h - 18 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8756033354 a multiple of 6122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/540 and -151\/366.\nAnswer: 32940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {b: 3, a: 2, h: 4, f: 1, m: 6}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -19071, -18989, -18877, -18723, -18515?\n\"Answer: 2*z**3 + 3*z**2 + 59*z - 19135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 244436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (2 + -17)*(30\/(-50) - (-2187)\/405)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 - 8*h + 15. Give y(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 828123 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence srr when three letters picked without replacement from zlzrsxzslllrzl.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3168665 (base 9) in base 12?\nAnswer: 69b34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 13398*c**2 - 20*c + 23. What is the hundreds digit of h(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.57 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (99 - -10) + -32 + -3 + 1 + 9 + -7\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3934 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 9*m**2 + 38*m - 29. Is b(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16323992?\nAnswer: 2, 1201, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 328529724 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -160 - -163. Suppose 0 = -h - 5*d + 563, -5*h + 2365 = z*d - 494. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3972\/900 + (-54)\/675. Let q(v) be the second derivative of -j*v**3 + 25\/2*v**2 + 0 + 26*v. Find the first derivative of q(a) wrt a.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (2\/7 - 30\/7)*(-255476)\/2312 is divided by 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2*c. Let i = 8 + -7. Let v(p) = -p**2 + p - 1. Let q(w) = 14*w**2 - 8*w + 8. Let d(u) = i*q(u) + 8*v(u). Give o(d(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 6*k - 25 = 5*n, 20 = 4*k - 3*n. Suppose -4 = l, c + 5*l + k = -15. Solve r + 3 = -c*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14 or 21322?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -44*z**5 - 434*z**4 + 3052*z**3 - 4896*z**2 + 2592*z - 270 = 0.\nAnswer: -15, 3\/22, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 98.201 - -8.033. What is z rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 1. Let d be 6\/(-39) - 1710\/4095. Which is greater: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/5 - 4 - (3420\/75 - 5).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3771 and 16.2.\nAnswer: -61090.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of w**6\/15 + w**4\/12 - w**3\/6 - 5*w**2. Let o be a(1). What is the greatest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((3 - 4) + 0)\/((-253)\/46). What is the second smallest value in 57\/11, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (69\/(-1416))\/((-8)\/(-56)). Let t = -2\/59 + y. Which is the biggest value?  (a) t  (b) 2\/11  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30 (base 15) to base 16.\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4, 12, 2\/9 in ascending order.\nAnswer: -4, -1, 2\/9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 0*y + u - 37 = 0, -4*y = 3*u - 23. Suppose z + y = -3*z. Does 23 divide z + -2 - (3 + -61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + -1041?\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-45)\/(-120) + (-1)\/4. Suppose -11*g - 4 = -4*b - 15*g, -5*g - 13 = -4*b. Sort b, t, 8\/7 in ascending order.\nAnswer: t, 8\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 637?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10223 + -2414?\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (1*-2)\/(36\/99) and -30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 156 divide 37383840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-9)\/3)\/(-3) - -104?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8628\/(-240) - -36) + (-1082)\/40.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 55, 528, 1819, 4336, 8487, 14680, 23323, 34824?\n\"Answer: 68*u**3 + u**2 - 6*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 + 13*m - 10. Let w be p(13). Let x(r) = -r**3 - 4*r**2 + 5*r - 4. Let f be x(-5). Let n = -174 - -178. Sort n, w, f.\nAnswer: w, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, -3, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1918063257.\nAnswer: 3, 11, 58123129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-152)\/(-228)*(-3)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 6, d: 4}. Give prob of sequence dqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1783967693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-2 + 5*(sqrt(104)\/sqrt(8) + 3))**2 + (4*-1*sqrt(91))\/(sqrt(847)*-1)).\nAnswer: 1434*sqrt(13)\/11 + 494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 450*d**5 + 16106340*d**4 + 143898612962*d**3 - 3945570489288*d**2 - 2678344144416*d - 449055281024 = 0. Calculate d.\nAnswer: -89548\/5, -1\/3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1185.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 272 divide 88827091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8799 (base 11) to base 6.\nAnswer: 125415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -727 - 4596?\nAnswer: -5212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-7)\/(-2)*(5 + -3). Solve -f = 3*b + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -420 + 419.9. Let j be 1\/(-5) + 46\/30. What is the nearest to w in 5, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14\/(-24) + (-1)\/(-3). Let v = -275 - -157. Let k = v + 105. Sort o, k, -0.2.\nAnswer: k, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -40*t + 36*t + 16. Let y(h) = 2*h + 17. Let x be y(t). Solve -2*g = 5*k - 35, -2*k - 6*g + x = -3*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5276 divided by -96?\nAnswer: 1319\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 73060 divided by -52\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 6*p**2 - 788*p + 236. What is k(131)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (-16 + 3 + 8 - (3 + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8098)\/4*(42 + -44). What is x rounded to the nearest 100?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, l: 1, x: 1, u: 1, e: 1, h: 2}. What is prob of sequence dxel?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1809\/2444 + 6\/611. Which is the third biggest value?  (a) 0.08  (b) s  (c) 5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(3 - ((-980)\/(-1456) + (-9)\/(-4)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19832\/(-176))\/(-37) - (-18)\/(-33)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 8) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.1, 2, 2\/5, 1, -15195?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 97261549 * 2.\nAnswer: 194523098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 131.7 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2539*s + 1416*s + 62888 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 - k**2 - k. Let z(h) = -6*h**3 - h**2 + 5*h + 8. Let t(l) = -28*j(l) + 4*z(l). Factor t(c).\nAnswer: 4*(c + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1243.\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of -o**3\/3 + o**2\/2 + o + 5. What is i(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102*r = 136758 + 35418. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1183823226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30 + -32. Let v be (-31)\/(-18) + p\/12. Is v < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-81)\/18 - ((-15)\/6 + 3). Let x(d) = d. Let r(v) be the first derivative of v**2\/2 - 4. Let q be -2*2\/6*-6. Determine a*r(m) + q*x(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 4*c + 2*w + 11 = 0, c + w - 12 = 0. Suppose -5*y + c*y = 0. Suppose 3*q + 3*k - 3 = -0*q, 3*q - k - 15 = y. Put 2\/7, q, -1 in decreasing order.\nAnswer: q, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 198\/(-110) - 2\/10. Let y be -3 - 1\/(-1) - -1. What is the closest to y in -0.5, m, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 501 (base 11) to base 6.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 21\/8 of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -3*y. Let h(z) = 338809*z. What is v(h(b))?\nAnswer: -1016427*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 81, -4, 0, -14, 5 in ascending order.\nAnswer: -14, -4, -2, 0, 5, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, 4, 2, -1\/8, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2659 + -2658.98883. What is p rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21295320 divided by 354922.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 64565130 by -70.\nAnswer: -922359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-8)\/96 - (-29307)\/36?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + -2)\/(-16 - -17) - (2 - 1472). What is the greatest common factor of o and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -942, 3889, 12088, 23661, 38614, 56953, 78684, 103813?\nAnswer: 132346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 2*g**2 + 9*g. Let b be h(-5). Let z be 2 - 5\/(b\/(-4)). Calculate the common denominator of 6\/4 - (-26)\/(-33)*z and -13\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -177 by 59.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p\/(p*(p*p**(-4\/11))\/p)*p*p)\/p)\/p*p)\/p*p*p**(-1\/3) assuming p is positive.\nAnswer: p**(67\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (54 - (62 + -14)) + (0 - -14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of 2*h**3\/15 - 8*h**2\/5 + 32*h\/5 + 13. Factor r(t).\nAnswer: 2*(t - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 693, 552, 317, -12, -435?\n\"Answer: -47*r**2 + 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -1\/6, -0.02, 83, -2\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) 0.5  (c) 0.4  (d) 54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 3 - 2 - (2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 114 = 2*k - 3*l, 4*l + 168 = 3*k. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q**2 + 9*q**3 - 4*q**3 + 3*q**2.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 499 + 31*z**3 - 974 + 41*z**3 + 475.\nAnswer: 72*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 271634 to the power of 1\/2, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of 0*p**4 + 0*p**6 + 0*p + 0*p**2 + 10\/3*p**3 + 0*p**5 + 15\/7*p**7 - 10. Find the third derivative of h(u) wrt u.\nAnswer: 1800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92*x + 86*x = -528. Calculate the smallest common multiple of 121 and x.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -5*j + 7. What are the prime factors of x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1004)\/8)\/(2\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2220 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.9 + -3. Let d be ((-13)\/260)\/((-5)\/(-20)). Put -5, 1\/4, d, q in ascending order.\nAnswer: -5, d, q, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.878165l to millilitres.\nAnswer: 1878.165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-9)\/(((-65)\/(-84435))\/((-2)\/18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 4*i + 2406, 5*f - 4*i - 6461 = -502. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + w**2 + 0)*(5 + 0 - 1)*(6 - 6 + 3*w) to n*w + t*w**3 + f + v*w**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1073 (base 10) in base 14?\nAnswer: -569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2327323 (base 8) to base 2.\nAnswer: -10011010111011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*f**2 + 85*f**2 - 47*f**2.\nAnswer: 67*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4807 + 2226. Let k = -1472 - f. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.3424 - -0.1576. Sort -0.8, -2, k, -27 in ascending order.\nAnswer: -27, -2, -0.8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 102c6a + -2?\nAnswer: 102c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 - (-42 - (-45 + 14) - (0 + -3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -9  (b) 0.029  (c) 1.8  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:15 PM and 8:59 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15 - 24*c**2 + 8*c**2 - 15 to the form p*c**2 + x + m*c and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 433*v - 2163. What is q(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 338657 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -9*g + 17. Let d(m) = -22*m + 42. Let q(r) = -5*d(r) + 12*h(r). Let b be (-26)\/(-3) - 26\/39. What is the remainder when 38 is divided by q(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -797 + 804. Solve -16 = -3*y + v*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-96))\/((-68)\/612).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 + 37*g - 243. Let l be t(9). Suppose -j - 5 + 0 = -3*y, -3*j = y + 5. Sort 2, -5, l, y in ascending order.\nAnswer: -5, y, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 4*n = -32, -4*m + 75 + 9 = -5*n. Let r(l) be the second derivative of -m*l - 3\/4*l**2 - 1\/3*l**3 + 0 - 1\/24*l**4. Factor r(a).\nAnswer: -(a + 1)*(a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -65, -4, -0.22, 3?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -80, 0.65, 95, 1.\nAnswer: -80, 0.65, 1, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -200400 (base 5) to base 16.\nAnswer: -18ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*j**3 - 2 - 3*j**3 + 9*j**3.\nAnswer: j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -90 + 100. What is the greatest common factor of o and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + d - d**2 - 2*d**2 - 1 + 2*d**3 in the form o + g*d**3 + w*d + r*d**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*c + 4*c + 28 = 0. Let u be (2 + -11)*66\/9. Let v be c\/14 + u\/(-14). Solve -27 = -4*a + 5*h + 10, 5*a = -4*h - v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16155.38046 to the nearest 10.\nAnswer: 16160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do 46925 and 46916 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -24\/89, 1\/4, -80\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 - -0.4. Let w = 0.014 + 30.986. Let t = -31 + w. Which is the closest to -0.1?  (a) t  (b) -5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 4 + -5 + -3 - (2 + 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 118 + -100. Calculate the greatest common factor of x and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1743, -2168, -2607, -3066, -3551, -4068, -4623?\nAnswer: -5222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 60  (b) -5  (c) 4\/5  (d) -494  (e) 36\/11  (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -467, -305, -143, 19, 181, 343?\n\"Answer: 162*l - 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000088 rounded to seven decimal places?\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do 104\/80637 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 4*b**2 - 13*b + 8. Let o(c) = 5*c**2 - 12*c + 9. Let h(d) = -2*i(d) + 3*o(d). Let y(k) = 5*k**2 - 9*k + 10. Let z(l) = -3*h(l) + 4*y(l). Factor z(r).\nAnswer: -(r - 1)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 - 56 = -2*i + 3*v, -2*v + 4 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18\/1 - (-348)\/(-12) - (-215)\/20. Let q be (-26)\/22 - (-2 - -1). Which is the nearest to -0.1?  (a) s  (b) q  (c) -5  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -10*m**3 - 2*m**2 - m + 2. Calculate z(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l - 3*t + 15, 24*l - 19*l - 3 = -3*t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -4 + 9*x + 2*x**2 - 2 - 5*x. Let o be k(3). Let m(t) = -t**2 + 23*t + 26. Let r be m(o). Solve 10 = l + 2*z, 5*l + z - 3*z - r = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15 - -13. Let l be -4 + 0*(-2)\/w. Let r be l\/3*(-6)\/4. Solve 0 = r*u - 2*m - 0 + 6, 5*u + 5*m = -25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11517 + 1233 = 17*k. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 437*k - 36 = 455*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1334*z + 1346*z = 1860. What is the remainder when z is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 198305701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 16150 divided by 3230?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - j - 5, l + 0*l + 4*j - 25 = 0. Suppose -l*p + 3*p = 0. Solve m - 1 + p = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/10*-3*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4922 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -2*v - 28. Let h(a) = 2*a - 2. Give x(h(o)).\nAnswer: -4*o - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p**33*p))\/p)\/(p*p\/((p**(-10)\/p)\/p))*p**(32\/3)*p*p**(3\/16)*p assuming p is positive.\nAnswer: p**(-1735\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 - 5*p**2 - p - 5. Let v be h(6). Solve -3*q + 5*w - v = 0, -4*q - 19 + 4 = -3*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 37255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 10, 6, 6, 10, 18, 30?\n\"Answer: 2*m**2 - 10*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 60*n + 1337. List the prime factors of w(115).\nAnswer: 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -162400 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -v - 5*d + 12, -v + 10 = 3*d. Solve -v*z = 2*w + 2, -3*w + 2*z + 8 = -3*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -44, -5, -1, -2, -1693, 5 in decreasing order.\nAnswer: 5, -1, -2, -5, -44, -1693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5142546 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 6*a**2 - 2*a - 1. Suppose 0 = -3*c - 2 + 11. Let x be b(c). Let r = x - -29. What is the highest common factor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/((-5)\/((-1155)\/(-6))). Let y = 5 + -1. Suppose 0*i = y*i - 28. Calculate the highest common factor of i and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 PM and 8:26 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2227, 2195, 2163?\n\"Answer: -32*f + 2259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.5 + -0.5. Let i = v - 0. Let q = -4 - i. Which is the smallest value?  (a) -0.4  (b) q  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-28)\/(-42)*6\/1. Suppose -v = -4*t, 3*t + 1186 = 2*n - 157. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzpppzppzppppppzppp. What is prob of sequence pz?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 4 + 6)*(3*w**2 - w**2 - w**2).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 140340122 (base 5) to base 16\nAnswer: ae91d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -147, -117, -63, 21, 141, 303, 513, 777?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t - 1. Let u be i(-4). List the prime factors of -9*(2\/u + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.04 and -3347?\nAnswer: 133.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.5, -9, 2 in descending order.\nAnswer: 2, -0.5, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d + 3. Let o(u) = 2*u - 6. Determine 2*o(i) + 5*v(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1771 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.84 times -4403?\nAnswer: 16907.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 122\/2 + (-2)\/2. Let b = 11 - 7. Suppose b*o = p + 53, 5*o - 2*p - 71 = -1. What is the highest common divisor of n and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 3860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -7 - (2 - (-11 + 18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 13.1 and -20.6109.\nAnswer: -7.5109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 5*d - 247. Let o be 8*(-3)\/18*-3. Solve 2*r = -3*t - 5, o*t - 17 + d = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15028 by -578.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j + 7. Let d be b(0). Suppose -x + 108 + d = 0. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 40839724 + 5?\nAnswer: 40839729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 3696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.1902*-237\nAnswer: 45.0774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 624356 is divided by 310151?\nAnswer: 4054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8688 by -181.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.19 in 0, 3, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + (0 - (13 + 22)) - 4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**3 + 2*v**2 - 2*v**2 + 2*v**3 + v**2 - v**2 + (2*v**2 + 2*v**2 - 2*v**2)*(-1 + 2*v + 1) - 26 - 2*v**2 - 3*v**3 + 26)*(-9*v - 8*v + 6*v).\nAnswer: -55*v**4 + 22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 431.\nAnswer: 172.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -7688a3 (base 11) in base 14?\nAnswer: -23d1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8034900 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert a2846 (base 15) to base 9.\nAnswer: 864233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**2 - 237452*w + 215567854 = 0 for w.\nAnswer: -119627, 901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12126*l**3*m*w - 731*l**3*w - 2*l*m*w + 5*l*m + 57676*l*w - 2*l + 2*m*w - m - 2*w wrt l.\nAnswer: -72756*l*m*w - 4386*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:29 PM and 4:29 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -2*q - 3*j, -46 - 4 = -2*q - 2*j. Solve 4*r - q = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 52*j**2 - 20*j**2 + 236*j - 4*j**2 - 6*j**2 - 11*j**2. Let s(o) = 2*o**2. Determine n(s(m)).\nAnswer: 44*m**4 + 472*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 - 2*q**2 + q - 3 + 4. Let d(i) = -3 + 8*i**2 + 4 - 1 + 5*i**3 + i - 1. Let p(z) = -d(z) - u(z). Suppose p(w) = 0. What is w?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of 115*h**3\/3 + h**2 + 12*h - 57. What is the second derivative of p(q) wrt q?\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3*v**3 - 13*v**2 - 46*v + 11. Determine h(-6).\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 - 204*p + 117. Let a be c(0). Solve -a = 23*q + 44 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-150)\/(-6)*2)\/(-1). Let y = 43 - 2. Calculate the remainder when y is divided by (-240)\/(-17) - z\/(-425).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (1 - (-3 + 1385\/175))\/2 and 40\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10\/19 in -85, 3\/2, 4\/4941?\nAnswer: 4\/4941","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 376 and 188.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 553439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in 1, 6\/5, -6, 0.2, -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1202000210210 - -11?\nAnswer: -1202000210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -681 > -674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 6:27 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -9*u - 27. Suppose 4*p + 4 = 2*b - 3*b, 3*b + 12 = -3*p. Let d(m) = -13*m. Calculate the least common multiple of d(-1) and l(b).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3.15, 1, 6\/7, 0.4.\nAnswer: -3.15, 0.4, 6\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 3 + (-2*sqrt(7)*6 - (sqrt(7) + (sqrt(42) - sqrt(126)\/sqrt(3))\/sqrt(6))) + (-4*sqrt(567)*1)**2 + -2*sqrt(567)*1.\nAnswer: -31*sqrt(7) + 9074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*g - 2754 = -12*g. What is the highest common factor of 442 and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than 1\/704344929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5517, -10797, -15845, -20661, -25245, -29597, -33717?\n\"Answer: 116*a**2 - 5628*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18175.5987 rounded to the nearest one hundred?\nAnswer: 18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4401*f**2 - 18941*f**3 + 4401*f**2.\nAnswer: -18941*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v - 13. Let f = -154 - -158. Let y be u(f). Put 3, -13, y in decreasing order.\nAnswer: 3, y, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the first derivative of -53*x**3 + x**2 + 140*x + 63. What is the second derivative of c(f) wrt f?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - a - 68028, 27207 = 2*n + 23*a - 24*a. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004411789 to five dps.\nAnswer: -0.00441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 335284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3 - 1221248*o**2 - 2442499*o - 1221250.\nAnswer: (o - 1221250)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111 (base 3) to base 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 - (-9*1)\/1. Let g(n) = n - 3. Let q be g(a). Solve -3*b = -6*b - o + 15, -2*b + q*o + 10 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9432075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 - 14. Suppose d*b - 2*p - 130 = -0*p, -10 = 2*p. Calculate the highest common factor of b and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 238 = -d - 497, 5 = d. Suppose -5400 = x*j - 152*j. Is 50 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of 5*z**4\/24 + 5*z**3\/6 - 2*z**2. Let h be f(3). Calculate the remainder when (-2)\/(h\/6)*-85 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -60*v**2 + 3*v + 29. Let i(q) = -60*q**2 + 4*q + 34. Calculate -4*f(x) + 3*i(x).\nAnswer: 60*x**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 1096*n**2 - 2*n + 8. Let o(c) = 195*c. Give i(o(z)).\nAnswer: 41675400*z**2 - 390*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10.77 - 0.23. Let s = 12 + r. Let h = 0 - s. What is the third smallest value in -4\/5, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/54 and 45\/8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-1 - 19) - (6 - 0)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 546994657 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1046740 and 2267060.\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -475551 not equal to -475812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (235*i - 487071 + 487071)*(2 + 1 - 4).\nAnswer: -235*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (3600\/(-1575))\/(2\/7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -182 + 99. Let m = o + 103. Is m less than or equal to 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - 1. Suppose -54*p + 7 = -61*p. Is p less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 20. Suppose 2*l + 27 = 5*d, 3*d = s*d + 2*l - 18. Solve d*m = 1 + 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -19*u**2. Let g(r) = 2576988*r. What is q(g(l))?\nAnswer: -126176475890736*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -6*y + 8. Let g be -3 + 2 - (y + -2 + -99). What is the highest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7596031492.\nAnswer: 2, 7, 499, 543661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*d = 18*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25 + 12 + 3*q - 18 to s*q + u and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 1) + (-3 - -1) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 126380\/353 >= 359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, 3705, 4, 136 in decreasing order.\nAnswer: 3705, 136, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.998 in -32, -0.2, 0.3, -2, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzzzmzzzzzz. Give prob of picking 1 z and 1 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 109929277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate r**3 + 2331*r + 2225 wrt r.\nAnswer: 3*r**2 + 2331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 58 + -115\/2. Let n = 2\/351 + -724\/3861. Which is the nearest to n?  (a) w  (b) -1\/7  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*q + q + 2*q)*(-q + 4*q - 2*q)*(0*q**2 + 2*q**2 - 4*q**2).\nAnswer: 26*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 2\/5, -4\/7, 1\/18?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u - 1. Let b = 855 + -857. Let l(q) = -4*q - 4. Let a(m) = -1. Let h(z) = 5*a(z) - l(z). Let o(n) = b*h(n) + 10*i(n). Give o(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 3 + 0*p**3 - 2*p**3 + 5*p**3 - 1 - 3*p**2 + p. Calculate g(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, 0.9, -0.4, 30.\nAnswer: -5, -0.4, 0.9, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + 5*y + 130, -3*q + 86 - 7 = -4*y. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + -2*(-6)\/5)\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8935611 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.2 + 2.2031. Round v to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1053416 and 6734?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-5)\/75*(1705\/(-44))\/(-31).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3103032 (base 6) to base 10\nAnswer: -148412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 115 + r**3 + r**3 - 57 - 56 - 63 + r**4 - 3*r as v + q*r**2 + m*r**3 + f*r + z*r**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the third derivative of q**6\/120 + q**5\/10 - 5*q**4\/24 - 7*q**3\/6 - 2*q**2. What is the remainder when p(-6) is divided by (4 + (-27)\/6)*-24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/23624 and 91\/24.\nAnswer: 70872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together -11566.061 and -11.\nAnswer: -11577.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -584 (base 13) to base 10\nAnswer: -953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 3 = 15. Let q be 66\/a + 4\/8. Suppose 7*d - 32 = 80. Solve 3*o + q = -4*l, 4*l + 4 = -d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 593*d**4 + 73*d**4 - 98*d**4 + (-1 - d + 1)*(-3*d + 3*d - 3*d**2)*(-2 + d + 2).\nAnswer: 571*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 t, and 1 a when three letters picked without replacement from {l: 4, a: 1, t: 4, s: 2, g: 2, u: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1818 or -382?\nAnswer: -1818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 324\/(-252) + (-52)\/(-35)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-56)*-2)\/(1\/(-2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 + 21.934. Let i = -5.066 - p. Which is the third smallest value?  (a) 5  (b) 0.4  (c) 0  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-208)\/(-10) - 8\/(-40) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4422072 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yssswypysyppdmss. What is prob of picking 1 w and 1 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/(-12)*(-9)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 46 + -49. Let u be (-3 + 0)\/(q\/5 - 0). Let g = 5 + -3. Solve 6*r - r = -g*x - 28, -5*r = -u*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-324)\/15)\/(9 - (-240730)\/(-26750)). Round g to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -9\/2, -2\/5 in ascending order.\nAnswer: -9\/2, -2\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 627*r**2 + 13*r - 49*r + 19*r - 213*r**2 + 18*r.\nAnswer: 414*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12*u**2 + 11*u**2 + 11*u**2)*(138 + 248 + 862 + 908) as m + a*u**2 + c*u and give a.\nAnswer: 21560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - i - 11, t - 36*i + 41*i = -3. Solve -9*m + 5*m - 2*h = 4, t*h - 4 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1128*m**3*s**2 + 30*m*s**2 - 91758*s**2 wrt m?\nAnswer: -3384*m**2*s**2 + 30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/((-15)\/6) + 11. Let q(t) = -4 - 5*t**3 + 4*t**3 - 1 + t**2 - 10*t**2 - h*t. What are the prime factors of q(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-20)\/(-6)*(99 + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -g + 0*g + g**2 - 15988 + 16107 + g to the form p + l*g**2 + s*g and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/2061592 and -19\/43602.\nAnswer: 80402088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -5*l - 43. Calculate r(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h**2. Let p(x) be the first derivative of x**5\/60 + x**2 + 8*x + 3. Let c(d) be the second derivative of p(d). Give b(c(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*s**3 + 11*s**3 - 22*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, h: 2, y: 2, o: 7, k: 4}. Give prob of sequence ooe.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 41\/74 + -2\/37. Suppose 15*c = 10*c + 15. Suppose 26 = -c*l - 19. What is the second smallest value in l, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.6, -4, 12, -0.7, 0.5, -71?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 28*k = 29*k - 22808, 3*l + 2*k - 68432 = 0. What are the prime factors of l?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 137909024 to the nearest integer?\nAnswer: 11743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 2*c**2 - 9*c - 83. Let x(b) = -9*b**2 + 45*b + 457. Let u(l) = 11*a(l) + 2*x(l). Give u(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1689\/70 + -13\/35. What is the common denominator of q and ((-17)\/10)\/((-2)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 10*y + 28. Let o(m) = 6*m + 27. Let v(h) = -2*b(h) + 3*o(h). Give v(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.70353 + -5528.80353. What is q rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4413248, 4413260, 4413272, 4413284?\nAnswer: 4413296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1785, 14299, 48267, 114417, 223477, 386175?\n\"Answer: 1788*u**3 - u**2 + u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15416, -30826, -46236, -61646, -77056, -92466?\nAnswer: -107876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 599 a factor of 54524882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/((4\/14 - (-9)\/(-21))*(1495 - 1494))?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -bb + -2cba2?\nAnswer: -2cc5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2054*g*q**4 + 3043*g wrt q.\nAnswer: -8216*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -69943  (b) 3\/7  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 q when three letters picked without replacement from bqbrr.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*r + 28*r = 4*f - 12, -20 = -5*r. Let w(l) = 4*l + 15. Calculate w(f).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 675505.\nAnswer: 1\/675505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 38 - 78 + 26*y + 9*y**2 + 40 wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 564116 + 338276 + 614032 = -13891*j - 690*j for j.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -50 at most -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**4\/9 - 313166*x**3\/9 + 24519175369*x**2\/9 - 49035532280*x\/3 + 24517296400 = 0. Calculate x.\nAnswer: 3, 156580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 3*k**2 - 102*k - 1828. Determine v(42).\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 43474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*u**2 - 5 + 34*u**2 - 3 + 0*u**2 + 7 + 3.\nAnswer: -3*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = x - 1. Suppose -2*w - 5*m - 16 = 0, -4*w = -4*m - 27 + 3. Suppose -2*c = 5*t - 32, x*c + t - 39 = -w*t. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -69*g**3*z + g*z**3 + g*z**2 - 2*z**3 - 16396*z**2 - 1 wrt g.\nAnswer: -207*g**2*z + z**3 + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 26*h. Let x(f) = 2*f**2 - 3*f + 3. Let n(b) = -2*b**2 + 2*b - 2. Let m(v) = -3*n(v) - 2*x(v). Calculate d(m(c)).\nAnswer: 52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*k**3 + 6979 - 13934 + 6955.\nAnswer: -94*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 2*c + 174511 = 5*s, 12 = -4*s. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.81  (b) 4  (c) 11\/2  (d) -0.4  (e) -3\/5  (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-117)\/1200*70*(-20)\/150 and 89\/600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 21.725345 and 0.3.\nAnswer: 6.5176035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -72, -136, -214, -300, -388?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 5*q - 1. Let h be t(3). Suppose -h*x + 6*x + 40 = 0. Solve 2*a + 2*o + 10 = -o, 5*o = -x*a - 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6*1\/5*(-22)\/4. Let k = -7 - s. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*b**5 + 6*b**5 + 0*b**5 + (-4*b**3 - b**3 + 4*b**3)*(-6*b**2 + 7 - 7) - 2*b**5 - 2*b**5 + 2*b**5.\nAnswer: 20*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -379960*s. Let b(d) = -409*d. Let r(t) = -3717*b(t) + 4*o(t). Is r(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17.79 - 18. Round t to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (4 + -3)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -84*w**3*x**2 + 8035*w**3 - x**4 wrt x.\nAnswer: -168*w**3*x - 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2218, -2153, -2088?\n\"Answer: 65*w - 2283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 divided by 295585.\nAnswer: 23\/295585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14\/11 in 4, -8, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*b**3 + 13*b**2 + 1032*b wrt b.\nAnswer: -54*b + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - 6*1) + (22 + -58)\/(-6). Let q(u) be the second derivative of 1\/3*u**3 - 1\/2*u**2 + 1\/3*u**4 + 0 + u. Determine q(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2. Let c(q) be the second derivative of 17*q**3\/6 + 2*q**2 - q + 173. Give c(u(f)).\nAnswer: 17*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24, 38, 52?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 697 and 0.\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -270809 or -270789?\nAnswer: -270809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, l: 2, c: 1, b: 5, u: 1, h: 5}. What is prob of picking 1 m, 2 l, and 1 b?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59364 divided by 34.\nAnswer: -1746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1.1 * 6\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, s: 7, x: 1, j: 5, n: 2}. What is prob of sequence nsan?\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1863 and 3933?\nAnswer: 35397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-18)\/45 + 0 + 1. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 - 2*y**2 + 423*y + 334. Give r(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 53*j**2\/5 + 3933*j\/5 + 72072\/5.\nAnswer: (j + 33)*(53*j + 2184)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-6) - 38476\/(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8816 is divided by 473.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38 + -22. Calculate the remainder when 214\/14 - h\/56 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 703268 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -4*o - 194, -3*o = -8*o - 5*g - 225. Let r = o - -67. Suppose -2*a = 3*a + 3*t - r, -2*a = -t - 8. Solve 0 = -a*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, -5, 24 in decreasing order.\nAnswer: 24, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16184 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1374994, 2749990, 4124986, 5499982?\n\"Answer: 1374996*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 653, -4377, 26 in increasing order.\nAnswer: -4377, 26, 653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 29069 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 12*l + 452. Let m be x(-16). Calculate the greatest common factor of m and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99)\/(sqrt(576) + 2*sqrt(576)).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 1 - 1 - 6*s**2 + 0*s**2. Let r(u) = -129 + u + 129. Give b(r(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -3*c + 6434, c - 6*l = -5*l + 2148. Which is smaller: 2151 or c?\nAnswer: 2151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0  (b) -0.2  (c) 26\/9  (d) 4  (e) 2\/5  (f) -0.3  (g) 1.79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 70774.11kg?\nAnswer: 70774110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 times -0.4?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -3*f - 42, 79 = 12*q - 7*q - f. What is the highest common divisor of 465 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (7 - 0) + -2 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 794627611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 3*o**3 - o**2 + 3*o - 6. Let h be s(2). Solve 0 = -9*k + 13*k - h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*j - 4*j. Let b(a) = -a**3 + 11*a**2 + 10*a + 20. Let r be b(12). Put 5, j, r in ascending order.\nAnswer: r, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (4 - 11 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 + 2*o - 6. Let y be a(-5). Let i be 2\/y - (-92)\/(-9). Let l be (5\/(i\/(-22)))\/1. Is l equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 14) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 24 = 4*p, p - 5*p = 12. Suppose 0*q + 2*q = 8, -8 = 4*n - 2*q. Let i = n + g. Sort 0, i, -3 in descending order.\nAnswer: i, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 759 + -737. Calculate the remainder when 49 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -71 + 26 + 27 + -21 + 2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8.01 + 8. Let m = h + 0.01. Suppose 0 = -4*d - 0*x + 4*x - 24, 0 = -x + 2. Which is the closest to m?  (a) 0  (b) d  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j**3 + 1 - 24 - j**3 + 57 to p*j**2 + x*j + d + b*j**3 and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2266*u**5 - 3*u**4 - 100*u - 25 wrt u?\nAnswer: 45320*u**3 - 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/4)\/((-4)\/16). Let l(q) = -32*q + 451. Let i be l(14). Solve 0*k + v = n*k - 9, -2*k - i*v - 11 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.15 * -1.66\nAnswer: 0.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4  (b) -3  (c) -34\/13  (d) 0.2  (e) 17  (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiivnnnnvpgnpginn. Give prob of picking 1 p, 1 i, and 1 g.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes after 4:53 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -90  (b) 0  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 136 and 1287512.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -73479 - -119742. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + d = 5499, -y + 4*d = -d - 1079. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 274284?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - -6 - -6)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -y**5 - 375*y**4 - 29258*y**3 + 1206690*y**2 + 11549259*y - 12726315 = 0.\nAnswer: -201, -9, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 157.4 + -157.39997409. Round r to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*c + 61*c - 6118 = -98*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4177 is divided by 3258?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1513 - -1517. Let p(g) be the third derivative of g**6\/120 + 3*g**5\/20 - g**4\/12 - 5*g**3\/6 + 4*g**2. Let z be p(-9). Solve q*h - z = 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, -1\/3, 1\/5, 0, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -5\/8*k**2 + 0 - 1\/8*k**3 - 3\/4*k = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = 3*f + 6. Suppose -f*i - 164 = -2*q, q - 6*q + 440 = 5*i. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -180.74 + 0.74. Let a = m + 179.917. Let d = a - 0.017. Which is bigger: 6\/17 or d?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 14*v**2 + 2*v - 2. Let l(w) = -5*w**2 - w + 1. Let h(k) = 11*l(k) + 4*s(k). Let m be h(-3). Solve y + 5*c = -0*c + m, c - 13 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, j: 1, o: 2, f: 1, l: 4, t: 2}. What is prob of picking 1 o, 1 j, and 2 t?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/11, -0.3, -0.1, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 30426 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1178033762 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c - 4 + 212*c**4 - 214*c**4 - 4*c - 2*c**2 to the form t + q*c**3 + a*c + m*c**2 + x*c**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**4 + 0*f**4 + 2*f**4 + (0*f - 3*f + 4*f)*(2*f**3 + 0*f**3 + 0*f**3) + (-3*f**3 - 5*f**2 + 5*f**2)*(5*f + 3*f - f).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*z + 15*z = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*u = -2*d - 42, -3*d + 12*u - 5 = 16*u + 33 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1863 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jxxxjjjjjjjjjxjjjjj. Give prob of sequence xxxj.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1394.016km to centimeters.\nAnswer: 139401600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1066603*w**4 + 84877*w?\nAnswer: -12799236*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1402  (b) -0.1  (c) -2.4  (d) -19  (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06739 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of -1\/2*t**2 + 1\/4*t**4 + 1 + 10\/3*t**3 - 10*t. Let v be y(-10). Solve v*a + a = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*r + 108 = 23*r. Let z be (-3 - (-6 + 2))*r. Suppose 0 = 2*a + 4*a - z. Calculate the smallest common multiple of a and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -200020020121 (base 3) to base 9.\nAnswer: -606217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*s + 147 - 147.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -110334 - 1522?\nAnswer: -112056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + 0. Let q = -0.2 - -1.2. Let z = q + g. Which is the closest to 1\/2?  (a) -2\/3  (b) 2\/11  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/p**(2\/5))\/p**(1\/2)*(p\/(p*p**(-2\/7)))**30)\/(((p*p**(-3))\/p**1)\/((p\/(p*p\/((p*p*p**(-2\/7))\/p)))\/p)**(2\/97)) assuming p is positive.\nAnswer: p**(85859\/6790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 PM and 2:06 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7\/28*(-2 + 46). Let z(y) = -y**2 + 22*y - 98. Does 4 divide z(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1*4)\/(20\/10). Let g be -2 - (-8)\/d - -1. What is the units digit of g + (-1 - 0) + 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 101*n**3 + n - 3. Let k(f) = 152*f**3 + f - 4. Let u(p) = -7*h(p) + 5*k(p). Determine u(1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9 and -659?\nAnswer: -5931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1, -3, -5?\n\"Answer: -2*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 70 and 520.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*t**2\/7 - 551263578*t\/7 - 78751940 = 0. What is t?\nAnswer: -1, 275631790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 89 - 85. Let s be 33\/44 + (-31)\/f. Let t(x) = -4*x - 8. Determine t(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 248.4991 - -592488\nAnswer: 592736.4991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 - 0.14025?\nAnswer: -0.64025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2873738 is divided by 957295.\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 0.479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 10*x - 3. What is y(4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4587\/8 + 77659\/136. Let h(p) = p**3 + 8*p**2 + p + 7. Let f be h(-8). Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 13 = 3*r, 8*r = -94*p + 96*p - 80 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 838334.\nAnswer: 2, 7, 233, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 32 - 229 = 0. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -51 - (-8 - -5) - -47.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 66 times 9?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-1\/3))\/(o*o*o**2))\/(o*o**4*o\/(o\/o**2)) assuming o is positive.\nAnswer: o**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - (1 - (2 - -30)) - 5. Let l(a) = a**2 - 2*a - 5. Let s be l(-8). What is the highest common divisor of r and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*j, -4*r - 2*j = -3*j + 5492. Let m = -2042 - r. Round m to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1 and 6948573.\nAnswer: 6948572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 14. What is the units digit of (-1)\/o*-6*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xqxqqqqq. Give prob of sequence xx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 1392270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((2*(sqrt(140)\/sqrt(5) + -3) - (sqrt(4032)*2 - sqrt(4032) - (1*sqrt(28) + 5)))*3)**2.\nAnswer: 324*sqrt(7) + 20421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 10 + 2 = -f, -3*f + a + 44 = 0. Let i = -48478 + 48487. Solve f*u = i*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the third derivative of d**4\/24 + d**3\/2 - 4*d**2 - 1. What is f(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q + q + 3*q**4 + 5*q**4 - q**4 - 2*q**4 + (-q + 3*q + 0*q)*(-4*q**2 + 2*q**3 + 4*q**2) + 33*q**4 - 3*q**4 - 2*q**4.\nAnswer: 37*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 28\/(-16)*(-1 - -5) + 3. Let b be (-2)\/k*(-2)\/(-4). Let t be 4 + -3 - 20\/14. What is the second biggest value in -0.2, t, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/665 and 73\/285?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -42 - -45. Suppose -4*b - h - 2*h + 15 = 0, 2*h - 10 = -j*b. Let m(v) = -v**2 - 3*v + 180. Is m(b) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91241?\nAnswer: 23, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4275299 divided by 87251.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 14722630891112 take away 27?\nAnswer: 14722630891085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -9742202 divided by -9742202\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/((-130)\/(-60))*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(sqrt(5)*-1)*-6 + 1.\nAnswer: 1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14484 and 568?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-21649 + 2868 - 6598 - 16214 + 1607 - 20775)*(0 + 2*g + 0) to v + f*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -297 - -401. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 5*j + 29, 2*h + 0*j - 18 = 2*j. What is the remainder when (-14 - 26532\/(-22))*(-1)\/(-64)*8 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5528\/5 at least 1105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.5?  (a) 1  (b) 3\/5  (c) -23  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -14 - (5 + 32\/(-4)). Let k = -5 - l. Calculate the remainder when 71 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + -45 - -28 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 376232 is divided by 597.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15 - (-59 + 61 - (2 - -32))) + -110.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1*333536\/(-52) - 12) + 4\/(-26) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4920.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 2\/1003503 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1461090?\nAnswer: 2, 3, 5, 113, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27b964 (base 13) to base 5.\nAnswer: 221441113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 41*m**2 + 7*m - 12. What are the prime factors of g(-4)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 23170 and 18144.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l - 3. Let u be h(5). Let i(x) = -x**2 + 16*x - 62. Let n be i(6). Sort n, -5, 1, u in descending order.\nAnswer: u, 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2241989 * 0.4\nAnswer: -896795.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 5*z**2 - 122*z - 3027. What is p(-15)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 3*z**3 + 18*z**2 - 21*z + 3. Let j be c(-7). Suppose 32 - 125 = -j*v. What is the greatest common divisor of 31 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -130*f**2 - 3*f + 10. Give b(2).\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -217 - -221. List the prime factors of (-5 - (4 + -32))*o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 651702 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 174916 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 13*j**3 + 8*j**2 - 4*j - 1. Let d be z(-2). Let k be (-236)\/(4\/(-1))*-1. Which is bigger: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 4 + 3 = 0. Let m be z + (2 + 1 - 6). Let x(s) = -s**2 + 2*s + 3. Let j be x(-2). Sort m, -3, j in descending order.\nAnswer: m, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 4 + 4)*(-t**5 - 168*t - 22*t**4 + 168*t) - t**2 - t**5 + t**2.\nAnswer: 3*t**5 + 88*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1578)\/36*(-26)\/7. Let x = y - 163. Let k = -7 + 6. Which is greater: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**3 - 6*z**2 + 17*z + 74. Let n be a(-7). Solve 8*h - 36 = n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 112228478, 112228474, 112228466, 112228454, 112228438, 112228418?\n\"Answer: -2*h**2 + 2*h + 112228478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 649.68 - 650. What is the fourth smallest value in n, 2, -1\/6, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 5, x: 2, h: 2}. What is prob of picking 3 t and 1 h?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b + 21. Does 25 divide p(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1125086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 67624 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: In base 9, what is -46 + -3?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -674 + 1256. Let s = d + -580. What is the greatest common factor of 72 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of 7*x**4\/4 + 23*x. Let m(t) = 4*t**2. Determine m(o(q)).\nAnswer: 1764*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*h - 566962 + 568936 = 0 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 4 + (6 - 8 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 + -7. Suppose -p + 451 = -5*k - 133, -4*p + 2*k + 2282 = 0. Let t = 578 - p. Solve -y - t = 4*y + r, -f*y + 1 = -r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 7 - 18 - l**2 + 3 + l**5 + 6 + l. Let g(t) = -70*t**5 - 90*t**4 + 35*t**3 + 85*t**2 - 45*t + 50. Let k(z) = -g(z) - 25*w(z). What is a in k(a) = 0?\nAnswer: -2, -1, 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -130\/130519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1013976586.\nAnswer: 2, 7, 4871, 14869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/75 - 54\/(-50). Which is the closest to -1\/3?  (a) 3  (b) i  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3321221 (base 4) in base 2?\nAnswer: -11111001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 1023*k**3 + k**2 - 15*k + 5. Let j(d) = 1535*d**3 + 2*d**2 - 21*d + 7. Calculate 5*j(o) - 7*s(o).\nAnswer: 514*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 98 = 50. Let j = -7 + c. Calculate the remainder when j is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 190, 407, 738, 1165, 1670, 2235, 2842, 3473?\n\"Answer: -3*o**3 + 75*o**2 + 13*o + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -32*s + 305. Let w be d(14). Is (1636\/(-2))\/((494\/w)\/19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1346 plus 4?\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5161509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 - ((35 - -2) + -51).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 28  (b) 3  (c) 0.06  (d) 67  (e) 305  (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -22*k + 12*k + 19*k**2 + 2*k**3 - 1 + 4. Let m be s(-10). Suppose m*z - 3*t - 888 = 0, z - 206 - 102 = -5*t. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2\/9, 311, 2\/3, -2, -2\/53 in descending order.\nAnswer: 311, 5, 2\/3, 2\/9, -2\/53, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -3. Let b(v) = -186*v - 6*v**3 + 8*v**3 + v**2 + 18*v**3 + v**2 + 187*v. What is b(w)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/3, 4\/61, -2\/13, 2\/37, -9, 11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2886294 divided by 2886294.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5426, 5478, 5542, 5624, 5730, 5866, 6038?\n\"Answer: w**3 + 45*w + 5380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 3 u when four letters picked without replacement from {u: 18, y: 1}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 47101 >= 47098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 3 = -3*l, -4*s = -8 + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1569 and 672?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 61 - 30. Let y = 32 + l. Suppose 4*i - 283 = -y. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1\/532  (b) -3  (c) 2\/5  (d) -3\/5  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -32?  (a) -121  (b) 0.4  (c) 217  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 12) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of p**4\/12 - 9*p. Let u(h) = -h**3 + 5*h**2 + 9*h - 6. Let t be u(6). Let q(d) = t*d - 2*d + d. Calculate n(q(z)).\nAnswer: 121*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 31 = 3*c - 42, 2*g - 5*c - 23 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o**4 + 4*o**4 - 2*o**4)*(0*o + 2*o + o) + ((1 + 1 + 0)*(-o + 2*o + 0*o) + 0*o + o + o)*(-57*o**4 + 5246*o**3 - 5246*o**3).\nAnswer: -222*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = b - 142, b + b + 59 = p. Let o = 8251 - 7420. Calculate the remainder when o is divided by p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6.9 * -3.7\nAnswer: 25.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/4 of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 197.058 + -197. Let l = -0.302 + j. What is l rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -32*d**3 + 2*d**2 - 1. Let f(l) = -l**3 - 7*l**2 - 37*l - 56. What is the remainder when p(-1) is divided by f(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10000000100 (base 2) to base 5\nAnswer: -13103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 6 + 0 - 3*j**2 - 10*j in the form t + f*j + n*j**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f + 32 - 40 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*(-4)\/(-10)*35\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1548850 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 15*y + 30. Suppose 42 = 5*t + 5*c + 7, -2*t - 4*c + 16 = 0. Let x be v(t). Calculate the greatest common factor of x and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4625586 (base 9) in base 11?\nAnswer: -14562a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 45945, 45941, 45935, 45927, 45917?\n\"Answer: -z**2 - z + 45947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 - 2 - -4 - -162. Is 1*a + -17 + 13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4  (b) -3\/4  (c) -1368  (d) -19  (e) 1  (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = -3*v + 69, 30*j - 27*j - v = -14 - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*(-4)\/20)\/(2\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*l - 91*l + 277*l - 97*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(3*((2*sqrt(756) - sqrt(756)) + sqrt(756))*-2)\/((sqrt(84)\/sqrt(2))\/sqrt(6) + (2*sqrt(7) - sqrt(7))*-6)*-1.\nAnswer: 144*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 2:12 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w\/(w\/w**12*w*w*w)*w*(w*w**(-15))\/w*w assuming w is positive.\nAnswer: w**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of -w**6\/255 - 4*w**5\/85 + 19*w**4\/102 - 10*w**3\/51 + 3*w + 61. Factor m(i).\nAnswer: -2*i*(i - 1)**2*(i + 10)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -40414.501 to the nearest one hundred.\nAnswer: -40400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 - 37*k**2 + 2*k + 60. List the prime factors of c(37).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1280*x**4 - 6880*x**3 + 6845*x**2 + 6450*x + 1125 = 0. What is x?\nAnswer: -5\/16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 28451 divided by 4?\nAnswer: 28451\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 474.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 84, -1, 2 in decreasing order.\nAnswer: 84, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179359.\nAnswer: 67, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (-1 + 3 + (5 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3484876, 6969753, 10454630?\n\"Answer: 3484877*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1030, -2009, -2938, -3811, -4622, -5365, -6034?\nAnswer: -6623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(833)*2 + -1)**2.\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 45826\/7 - 6544. What is the fifth smallest value in 5, y, -2\/5, -16, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 614311 bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h**5 + 5870*h**4\/3 + 7578*h**3 - 27424*h**2\/3 - 30248*h + 15776\/3 = 0 for h.\nAnswer: -4, -2, 1\/6, 2, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 101564362 times 0.4\nAnswer: 40625744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(1\/(-4) + (-798)\/(-56) + -16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 4:54 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 26\/10 - 12\/(-30). Let q = 0 - b. Put 2, -5, q in decreasing order.\nAnswer: 2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -29 - -89\/3. Let a = -5.6 - -6. Let l = a - 0.6. Which is smaller: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + -16 + 24 - (6 + (0 - 92)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of 0*a - 25\/2*a**2 + 37 - 1\/10*a**5 + 1\/40*a**6 + 4*a**3 - 1\/2*a**4. Let m(h) be the second derivative of u(h). Factor m(y).\nAnswer: 3*(y - 2)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 - -15. Let c = 12.9 + v. Let x = 0 + c. Which is greater: x or -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 148 = -3*c - 5*b + 1346, -3*c + b + 1204 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 41\/3, 5, 12\/5, 7, -5?\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4841.\nAnswer: 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-20)*(1 - 0)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -2*w**5\/13 - 86*w**4 - 84504*w**3\/13 - 2278304*w**2\/13 - 20854400*w\/13 = 0.\nAnswer: -475, -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -24*t*v*x**2 + 7*t*v*x - 6644*t*v + 22*t + 2*v*x**2 + 39*x wrt x.\nAnswer: -48*t*v*x + 7*t*v + 4*v*x + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001514179054 to five decimal places.\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2350149774.\nAnswer: 2, 3, 7, 853, 65599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2518064 is divided by 627.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of 0*i**3 - 27\/40*i**6 + i**2 + 2*i + 0*i**5 - 1\/24*i**4 + 0. Find the second derivative of k(w) wrt w.\nAnswer: -486*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*u**3 - 136931*u**2 + 136931*u**2.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of 25*g**4\/12 - g**3\/3 + g**2\/2 - 31*g - 103. Let h(s) be the first derivative of i(s). Give h(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2528 + -2520. Sort m, 2\/5, 50 in decreasing order.\nAnswer: 50, m, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11 and -0.03841.\nAnswer: 0.42251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (0 - (5 - 3 - -6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*u + 224 = -85048. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 3 = -k + 11, 3*g = -k - 7. Suppose -k*n + 365 = -17. What are the prime factors of n?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (23\/3 + -5)*(-7)\/(84\/(-27))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = -4*k - 3*d + 29, -170 = -5*k + 2*d. Calculate the highest common divisor of 144 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 1 = 3*q. Let y = -272.02 - -262.02. Which is the third biggest value?  (a) y  (b) 1\/5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 160 = 4*c - 9*c, -4*c - 8 = 0. What is the units digit of y\/6 - (-2)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -177.903104 * -4\nAnswer: 711.612416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-7)\/((-168)\/156).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 102559 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = d + 9. Suppose -2*v = 2*v - 3*x - 9945, -4985 = -d*v - x. What is v rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -172*r - 682. Let q be g(-4). What is the closest to q in -6, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 + -17 + (-12988)\/(-13561)?\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2545*v**3 + 901*v**3 + 905*v**3 + 740*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -2*m + 136, 0 = 3*b - 0*m + 4*m - 134. Suppose 1435 + 451 = b*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 2*x + 3*x + 19, 3*l - 26 = 4*x. Suppose 16 = -l*n + 64. Let p be (6\/(-7))\/((-2)\/56). What is the greatest common divisor of n and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 473 or -148480?\nAnswer: 473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -485 + 485 + 23*d.\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00094710304 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2. Suppose 2*x + 0*k = 2*k + 14, 5*x - 85 = -5*k. Let t(g) = -89 + 47 + x*g**2 + 42. Determine o(t(d)).\nAnswer: -144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3933734 divided by -3933734.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 33514818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((3 - 3)\/3)\/4. Let u(y) = 11*y + 4. Let t be u(z). What is the nearest to -2\/9 in 2\/41, t, -2?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000041899335 rounded to seven decimal places?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 120*w**2 - 35*w - 35. Let u(m) = 10 - 7 - 2*m - 4*m**2 + 5*m - 6*m**2. Let r(v) = 35*u(v) + 3*y(v). Calculate r(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 156 - 3c891b?\nAnswer: -3c8795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 549940 is divided by 61103.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -3  (c) 1\/9374\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 45, 113, 211?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.9994 + 129.9994. Let i = 3.92 - -0.08. Which is the second smallest value?  (a) 4\/3  (b) i  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2601, -2581, -2553, -2517, -2473, -2421, -2361?\n\"Answer: 4*h**2 + 8*h - 2613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2801524 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 + 19 + (0 - -3 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d + 3*d**3 - 5*d**3 + 3*d**3 + 13. Suppose 0 = 5*w - 2*p + 22, -3*w = 218*p - 221*p + 33. Give s(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2540 + -2 + 2 + 2. Let w = -1283 + c. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -31058409 and -5?\nAnswer: 31058404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/2 - 4*5\/(-2). Solve 5*j + 3 = w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*c - 6*c - 12*c - 7*c in the form k + v*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55363176, 110726344, 166089512?\nAnswer: 221452680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000030397 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/44)\/((-35)\/10 - -2). Let f = 0 + 3. What is the nearest to 1 in f, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-274)\/4 + 0)*(195 - 197). Let y be ((-382)\/(-6))\/((-8)\/(-18)). Let w = y - c. Calculate the common denominator of 2\/7 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-10)\/25)\/((-1)\/5). Let p(i) = -i**d - i**2 - 5*i**2. Let t(o) = -9 + 9 + o - 2*o. What is p(t(j))?\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/11, 82, -31, -2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60) - sqrt(540))\/sqrt(10))\/(sqrt(75)*2).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.35 times -3.2079\nAnswer: 1.122765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((32\/26)\/16)\/(3\/39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of -11*a**2 - 6*a + 17. Let z(s) = -7*s - 2. What is 3*i(w) - 10*z(w)?\nAnswer: 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 9984072.7*-3\nAnswer: -29952218.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -835 - -839. Suppose 4*k - 3*v = 85061, p*v + 85086 = 4*k + 6*v. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p - 4. Suppose 2*d - 5*i + 7 = 0, 2*d + 7*i - 1 = 4*i. Let a be (-22)\/4 + (-1)\/(-2). Let t(j) = -2 - 2 + 5. Calculate a*t(x) + d*c(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -2*r - 9. What is q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 983\/4140 - 7\/460. What is the second smallest value in t, -5, -2\/7, 35, 0.04?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1903.01622 + 1903. Let i = 0.017 + k. Round i to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 18\/5, 0.02, 1, 0.12 in ascending order.\nAnswer: 0.02, 0.12, 1, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.3 + -0.3. Let x = -0.735 - -1.235. Put w, -2\/3, x in descending order.\nAnswer: w, x, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4896.919 - -4891. Let o = -142 + 142.081. Let u = f - o. Sort -1, 0, 1\/11, u in increasing order.\nAnswer: u, -1, 0, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.280207km?\nAnswer: 280207000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j - 2*j + 3*j)*(9 + 2 + 10)*(2 - 1 - 4).\nAnswer: -126*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 2, 1.7, 2\/587, -0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 - 10*p**2 - 375*p. Let b(k) = -2*k**2 - k. What is -4*b(c) + i(c)?\nAnswer: c**3 - 2*c**2 - 371*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3975 is divided by 299.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 9898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - y - y - 102, -5*h - y = 170. Which is smaller: h or -104\/3?\nAnswer: -104\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 - 21. Solve 4*p + 5*j - 22 = 0, -h*j = -0*p + 3*p - 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 523 (base 13) to base 16\nAnswer: 36a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - -31679879?\nAnswer: 31679884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -72 times 1615?\nAnswer: -116280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -125\/7918482 and -8\/7558551.\nAnswer: 166288122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 2 = 2. Suppose k = -7*n - 5 + 33. Let j(o) = o**3 - 5*o**2 + 3*o - 5. Calculate j(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -246441 (base 7) to base 3\nAnswer: -2022102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.030686, 5, 0.1, -5, 1\/5, -1 in decreasing order.\nAnswer: 5, 1\/5, 0.1, 0.030686, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of -1\/6*h**4 + 0*h**3 + 0 + 13*h + 0*h**2. Let p(c) = 6*c**2. Calculate p(l(q)).\nAnswer: 24*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((2*sqrt(99) - 4*(sqrt(11) + -4)) + -1 + 2) + 3)**2.\nAnswer: 80*sqrt(11) + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 753 (base 10) to base 12.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 449 + -445. Suppose 5*j + 4 = 34. Suppose -g*h + j*h = 4. Solve h*p - 3 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 2:44 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.698 to one decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1394 - -6.1394. Let q = -30 - -29.5. Which is the closest to -0.1?  (a) -1  (b) g  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 - 6*f + 2. Suppose 3*x - 20 = a - 0, -3*x + 25 = -2*a. What is the units digit of o(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express ((5 + 2*y - 5)*(0 + 0 - y) - y**2 - 4*y**2 + 3*y**2 - 6*y**2 - 3*y + 3*y)*(y - 5*y + 2*y)*(169 + 60 - 30) as p*y + u*y**3 + t + v*y**2 and give u.\nAnswer: 3980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.3 + 3.7. Let g = n + -2.6. Put 1, -4\/5, g in decreasing order.\nAnswer: 1, g, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/6*(3 - (-213)\/(-75)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.02, 2\/19, -1.3, -1.5, -0.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 203978954.\nAnswer: 2, 17, 67, 151, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7215.\nAnswer: 3, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 824 and 2903982.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.024964 to 5 decimal places.\nAnswer: 0.02496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3*-4*2\/(-6). Suppose f*d = -d + 30. Let s = 13 + -11. Solve 5*k = 3*b + d, -2*b + 4*k = s*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 24\/(-18)*57\/(-2). Let t = h + -17. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -116, -5, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2 + -0.3. Let u = -97 + 96.7. Let j be (2\/11*2)\/((-32)\/(-32)). What is the fourth biggest value in j, c, 5, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hqh when three letters picked without replacement from shhhbhhqbm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -169*r**2 - 5*r**2 + 190*r**2 + 7*r**2.\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 47146.14 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1152137 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*h + 7*h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3108*n**4 + 1726*n wrt n?\nAnswer: -37296*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 962464 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 234587397 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t = 67 - 127 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3753*i**4 + 967*i**2 wrt i?\nAnswer: -90072*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/552 and -11\/2208.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.07, -0.2, 2\/521, 1, -2\/19 in descending order.\nAnswer: 1, 2\/521, -0.07, -2\/19, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 419.7089 hours to microseconds.\nAnswer: 1510952040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**0)\/(z*z**7*z))\/(z\/z**(-3))**(3\/52) assuming z is positive.\nAnswer: z**(-107\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/o**1)*o)\/o)**(-8\/15)\/(o**6*o\/(o*o**(-2\/11))) assuming o is positive.\nAnswer: o**(-1108\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 65 + 6. Let n = 217\/3 - l. Solve 0 - n*j + 2\/3*j**2 = 0 for j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -175021 (base 11) to base 13\nAnswer: -95cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53970353.\nAnswer: 839, 64327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - (1 + -6 - (5 + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 929868674 a multiple of 413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5783039162 from 1429.\nAnswer: 5783040591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 210 - 470 + 420*t + 258.\nAnswer: 420*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -166, -661, -1486, -2641, -4126, -5941?\n\"Answer: -165*q**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 189*g + 14 + 22 - 36.\nAnswer: 189*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 + 5*c**2 + 5*c + 3. Let p = -3 + 4. Let m = p - 1. Suppose -2*x - 9 + 1 = m. Calculate w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44964, 83149, 121332, 159513?\nAnswer: 197692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - ((21 - 22) + 2 + (2 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23482376?\nAnswer: 2, 31, 94687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/630861 and 67\/1221.\nAnswer: 23341857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -7. Let d = 0.99 - 1. Let w = -2.99 + d. Which is the nearest to -0.1?  (a) -1\/3  (b) x  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-30)\/((0 - 26\/56) + (-32)\/112). Calculate the highest common factor of 3310 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 10:06 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ipzi when four letters picked without replacement from piippziiip?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 8*i**2 - 13*i. Let a(q) = -25*q**2 + 40*q. What is 2*a(u) + 7*j(u)?\nAnswer: 6*u**2 - 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*m + 1019 = 587 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -186290*k - 939826?\nAnswer: -186290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 210 + 222212021?\nAnswer: 222220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3146378?\nAnswer: 2, 1013, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -12*15\/(-12) - 8. Let t(h) = 84*h**2 + 7*h + 2. Let g(i) = -253*i**2 - 24*i - 7. Let y(p) = l*t(p) + 2*g(p). Let u(o) = 2*o**2. Calculate u(y(j)).\nAnswer: 13448*j**4 + 328*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 340 = 3*v + 2*v. Suppose 0*w - 4*w = -v. What is the remainder when w is divided by 2*-3*(-6)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 38568, 76856, 115144, 153432, 191720, 230008?\n\"Answer: 38288*o + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000327666 to 6 dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -1)*((-5)\/(-3))\/(-5)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 9*v. Let z(s) = 115064*s. What is z(p(x))?\nAnswer: 1035576*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of l*o + 64*l - 9*o - 16 wrt l?\nAnswer: o + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + -1. Let m = l + 0. Solve -2*a + 10 = 2*h, -2*h - 5 = -m*h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 182 is divided by 0 + (-1 - 0 - -1) - -46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/(-1))\/((-2)\/4). What is the second derivative of 4*v - 4*v**2 + 2*v**l - v**2 - 7*v wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -369*o - 2. Let r(z) = -217*z. What is q(r(b))?\nAnswer: 80073*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q - 8. What is j(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 8*b**3 + 4*b**2 - 10*b + 14. What are the prime factors of r(3)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + -4 - 44\/(0 - 4). Let l(t) = -t**3 - t**2 - t + 1. Let p(w) = -11*w**3 - 3*w**2 - 3*w + 2. What is z*l(i) - 2*p(i)?\nAnswer: 16*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of d**4\/24 + d**3\/6 - 17*d**2. Calculate i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of 11*j**8\/28 - j**5\/20 - 7*j**4\/6 - 23*j + 3. Find the third derivative of z(x) wrt x.\nAnswer: 2640*x**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-2 - (-5 + -6) - 9) - 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1062*b**3*h**4 + 5*b**3*h**3 + 4*b**3*h**2 - 45*b**3*h - b**2*h**2 + 27*b**2 wrt h.\nAnswer: -25488*b**3*h + 30*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 - 6*x - 18. Let u be a(-3). Suppose u*d - 503 - 343 = 0. List the prime factors of d.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (20\/(-12) + 1)*-93. Suppose -5*l = -a - 37 - 64, -2*a = -3*l + d. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/1053 and -131\/324.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3319 + -1555. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/7))**(-20)\/(s**14*s**3))**(-16) assuming s is positive.\nAnswer: s**(2224\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (490\/(-3))\/(-7) + ((-96)\/(-9))\/16\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -3*c**2 + 641*c + 1933. What is u(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*f + 17*f - 1 + 3*f.\nAnswer: 61*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (79 - ((-6 - -31) + -18)) + -5 + 3\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3  (b) -1  (c) -276\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 574452 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 37759171\/764 - 49423. Let x = -4 - -4. Which is greater: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/(r\/(r*r**(-1\/7))))\/(r\/r**(-22))*r**14\/(r**(-4\/7)*r) assuming r is positive.\nAnswer: r**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5276\/115 - -126\/23. Let r = a + 41. What is the second biggest value in r, 3, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2282 - 1882. What is the highest common factor of 12 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1417214 (base 8) in base 6?\nAnswer: 12332352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 1 - 2 = 0. Suppose 0*b + 27 = d*b. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11560686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 + 7*o**2 + 5*o - 4. Let z be y(-6). Find the second derivative of -2*r - 2*r + r - 4*r**2 - 8*r**z wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/12 - (-14)\/6. What is the second derivative of 3*q**n - 3*q**2 + q**2 - 2*q + 0*q**2 wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7009270169 to the nearest integer?\nAnswer: 83721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 12:19 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 247\/4 - 62. Let y = 4.1 + -0.1. Let d = 0 + 1. What is the nearest to f in d, y, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 258\/4*2*8\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the second derivative of -5*l**4\/12 - l. Let a(r) = 2*r**2 - 4*r. Let x(c) = c. Let b(d) = -a(d) - 4*x(d). What is b(h(w))?\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1587 greater than or equal to 142470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 + 22. Let y be (-8)\/b*(-7)\/2. Factor 0*u**3 + 1\/4*u**4 + 0 + 0*u**y + 0*u + 1\/4*u**5.\nAnswer: u**4*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -2*d**2 + 464*d + 20. Let s(p) = 6*p - 2. What is -m(o) - 10*s(o)?\nAnswer: 2*o**2 - 524*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -5, 2\/5, 25, 1 in increasing order.\nAnswer: -5, 2\/5, 0.5, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3*q = -110, -3*m - 3*q + 108 = -198. Let b = 165 + -151. Calculate the highest common divisor of b and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwcd when four letters picked without replacement from {w: 2, d: 3, c: 4}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0952 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2a (base 13) to base 6.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2)*m*m**(-2\/13))**(2\/15))**(-18) assuming m is positive.\nAnswer: m**(36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 2*z**2 - 17*z - 54. Give h(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24201396 to the nearest integer?\nAnswer: 4919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 39102906*d*v**2 - 58629113*d*v + 3*v**2 + 1 wrt v.\nAnswer: 78205812*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ujkjjpkkjktkjjj. Give prob of picking 1 j and 1 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 4*y + 76. Let f be l(34). Suppose -2*z + 129 = 23. Calculate the highest common factor of z and f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 531 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -2  (b) 5  (c) 4  (d) 56\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 128901638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26571419.9999998 + -26571425. Let r = w - -5. What is r rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6428 times 0.7\nAnswer: -0.44996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from otdky. Give prob of sequence to.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = t - 11, 5*t + 0 = -3*a + 3. Let p(u) = -u**3 - 12*u**2 + u + 14. Let v be p(-12). Factor -3*g**3 - t*g**2 - g**v + g**3.\nAnswer: -2*g**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -331133 (base 4) in base 14?\nAnswer: -1611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 0*p + 2*p = 73, -2*f + 49 = p. Suppose -2*y - 7 + f = 0. What is the remainder when y is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*w - 17*w + 70 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -4206*p - 5. Let n(r) = -4201*r - 3. Determine 3*n(k) - 2*q(k).\nAnswer: -4191*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8 + 1c2?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3\/2 - 3173*k**2\/2 - 352048*k + 1433544.\nAnswer: (k - 3381)*(k - 4)*(k + 212)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22039 + -22028. Which is the third smallest value?  (a) 1\/4  (b) w  (c) 16  (d) -1  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 607*q + 4 + 16 - 18 + 5 to the form u + v*q and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 - 4*p**2 + 2*p - 2. Let h be f(4). Suppose -g = -4*g + h. Solve -g*d = -0*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157 + 53 = -42*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 80*n**2. Let b be z(-2). Suppose -5*j - 3*p - 210 + 626 = 0, -4*p = -4*j + b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 892 * -1.6.\nAnswer: -1427.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 90110.09 kilograms?\nAnswer: 90.11009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 0 - 1 - 2 + z. Let w be c(6). Suppose x = -w*x. Which is smaller: x or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 1\/3)\/(49*550\/7350)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -7913*i**3 - 24*i**2 + 62*i - 45. Let q be b(-15). Round q to the nearest one hundred thousand.\nAnswer: 26700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0087 and 4.5.\nAnswer: -0.03915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 25863269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 22*y + 45. Let o be w(-2). Put -2\/5, o, -5 in decreasing order.\nAnswer: o, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(198)\/(sqrt(11)*2))\/(5*sqrt(324)).\nAnswer: sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/(-104)*(-4)\/10.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143 = -5*p + h + 28, 0 = -3*p + 2*h + 104. Let g = 40 - p. Suppose 413 + 3769 = g*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-519)\/12 + (-4)\/(-48)*3. Let f = -34 - m. Let v(l) = 0 + 2*l - 6 + 7 + f. Calculate v(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -595, -1, -4, -2, 0 in descending order.\nAnswer: 0, -1, -2, -4, -595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - 110011101010011011101?\nAnswer: -110011101010011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 3*o = 4 - 18, -4*o = 4*q + 16. Let f be (3 + -3)\/(1*q). Factor -1\/3 + f*z + 1\/3*z**2.\nAnswer: (z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 793298*g**2 - 396646*g**2 - 396656*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 1)*(1 - d - 1) - 11*d + 5*d - 15*d + 7*d - 2 - d - d + (2 - 2 + 1)*(-3*d + 0*d + 5*d).\nAnswer: -16*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c + 5*c - 10 = 2*b, 4*c - 4*b - 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 217107176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -158*i**2 + 145*i + 13.\nAnswer: -(i - 1)*(158*i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81855 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1975*o - 737 - 688 = 550 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 6 = 6. Let j(k) = -6*k**2 + 5*k**v - 21*k**2. Let u(d) = -2*d. What is j(u(l))?\nAnswer: -88*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22993, -23223, -23453?\nAnswer: -23683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*m**3\/4 + 879*m**2 + 26577*m\/4 + 5781 = 0. What is m?\nAnswer: -47, -164\/21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -168 + 134. Let u = n - -100\/3. Let j = 15 - 15.1. What is the closest to u in j, -18, 1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*q**4 + 3107*q**3 - 4*q**2 + 19*q + 194213125 wrt q.\nAnswer: 8*q**3 + 9321*q**2 - 8*q + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*k - 23 = -586*k - 19417 - 1734 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 24. Let o be (-4)\/(-4) + (-2)\/(-1). Suppose 19 = o*p - j. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 788*h**2 - 1155*h wrt h?\nAnswer: 1576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 230411140 (base 5) in base 10?\nAnswer: 1028920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of 14*p**2 + 2\/105*p**7 - 2\/3*p**3 + 1\/15*p**6 - 1\/3*p**4 + 0*p + 0*p**5 - 1. Factor q(u).\nAnswer: 4*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9099 - 2462. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 6*d = 176. Let n be d*(7\/2 - 3). Suppose -5*w = -n - 83. Solve -4*g + 3*m = -16, 5*g + 2*m - w = 6*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 5*y**5 + 5*y**4 - 25*y**3 - 5*y**2 + 40*y - 20 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -227060, -227061, -227028, -226943, -226788, -226545, -226196?\n\"Answer: 3*o**3 - o**2 - 19*o - 227043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.7 - -89.50908917\nAnswer: 90.20908917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.3+31331.3\nAnswer: 31331.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6615539802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 22 - 2238*h + 3054*h**2 - 22 + 145*h wrt h.\nAnswer: 6108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1469237 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -9322, -37305, -83944, -149239, -233190, -335797?\n\"Answer: -9328*v**2 + v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 5:41 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 16329?\nAnswer: 6531.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 27 = -3*n - 5, 2*n = 0. Let x(r) = r**2 - 9*r - 10. What is the lowest common multiple of (-27)\/(-2) - 3\/(-6) and x(s)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -36996*j*v**2 + 19839*v**2 wrt j?\nAnswer: -36996*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1028638\/55 + 18702. Find the common denominator of (2\/(-18))\/(5\/(-264)) and l.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10292 or -162?\nAnswer: 10292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 + 3*c**2 - 3*c - 2. Let b be l(-4). Let k be (b\/(-4))\/((-3)\/(-10)). Solve k*o + 19 + 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(66)*2*6*3*-5)\/(3*sqrt(96) + (3*sqrt(18))\/sqrt(3)).\nAnswer: -12*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s. Let v(k) = 30*k**2 - 5*k**2 - 2*k - 6*k**2 - 13*k**2. Calculate v(u(y)).\nAnswer: 54*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -205 equal to -3071\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 - 2*p**2 + 90*p - 257. Calculate b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 266473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 110580 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gqwpcqiqwppqwq. Give prob of sequence gppq.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -14  (b) 0.7  (c) -0.01  (d) -0.4  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 67*c**3*h - 2*c**3 - 16*c**2*h + 26*c**2 - 268*c*h + c + 53 wrt c?\nAnswer: 402*c*h - 12*c - 32*h + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 6, -8, -22, -30, -26?\n\"Answer: g**3 - 6*g**2 - 3*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*k - 4*r - 32 = -50*k, -k - 8 = 3*r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 5 - 2) + (-1 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11473 by 10.\nAnswer: 11473\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 388 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 3*m**2 - 2*m. Let g = -15 + 8. Let q(u) = 10*u**2 - 7*u. Let k(t) = g*r(t) + 2*q(t). Let l(w) = 43*w. Determine k(l(j)).\nAnswer: -1849*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 0.0115, -1\/3, 0.7, 1, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -314 or -316?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -57568 - -18595. Is h\/220*-8 - 2\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 + 14. Suppose -23299938 = -i*u + 10200062. What is u rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/((14\/7*-1)\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of -36*f**2 + 0 + 1\/6*f**3 - 1\/60*f**5 - 1\/2*f**4 + 0*f. Let i be g(-12). Solve o = -3 + i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 24 = m, -32 = -m - 0*m + l. Let t = m + -29. Is 2168\/60 - (6\/(-45))\/t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5*((-2 - -2) + -6 + 4). Suppose u = -o + 6*o. Let m(f) = 2*f**2 - 2*f - 2. Let x be m(o). Solve 1 = k - q, -k - x*k - q + 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (24*t + 13*t - 17*t)*(128*t + 23*t - 44*t) + 3*t**2 + t**2 + 0*t**2 + 2*t**2 in the form l*t + d + i*t**2 and give i.\nAnswer: 2146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nevenh. What is prob of picking 1 n and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5512 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 4*t + t - 5, -5*t - 35 = 3*s. Let k be 10\/(-16)*(-2)\/5. Which is the nearest to -0.1?  (a) k  (b) -0.5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((-21)\/93*(-2540)\/1778).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -6*a + 280. Suppose s + a = 6*s. Let t = -9 + s. Solve 0 = -t*n - j - 2*j - 35, -3*n - 2 = -2*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 166443 + 384*l**2 - 10*l**3 - 384*l**2 - 166444.\nAnswer: -10*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7573*z - 46941 - 37997 = 11228 + 146170 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3525*t**2 + 1829*t**2 + 1981*t**2.\nAnswer: 285*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 92471 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (-2 - (-4 + 9 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 69754, 139503, 209252, 279001?\n\"Answer: 69749*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkkikklkluwwklkk. Give prob of sequence kliu.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(11) - (-2 + sqrt(11))**2)*6*-2*6.\nAnswer: -3240 + 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9592117.\nAnswer: 9592117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(f\/(f\/((f**8*f)\/f)*f)))**21 assuming f is positive.\nAnswer: f**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**3 + 176*a**2 + 9461*a - 9636 = 0.\nAnswer: -44, 1, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of -q**5\/60 - 5*q**4\/12 - 3*q**3\/2 - q**2 - 33. Let f be x(-9). Suppose f = -4*w - w + 11015. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 + (-1 - 0)*3. Let x be (3\/t)\/(8\/(-64)). Suppose -3*k + 2*k + 222 = n, x*k - 858 = 2*n. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r - 1. Suppose t = -0 + 15. Let b be t - 0 - (-15)\/(-5). Let w be (-32)\/b - 2\/6. Calculate m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 5 and 794 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of s**7\/840 - s**6\/360 + s**3 - 1. Let n(u) be the third derivative of c(u). What is the third derivative of n(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 206 a factor of 21880553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**2 + v - 3. Let p be q(-3). Let i = -18 + p. Let s = i + 15. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115*b = 775 + 835 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26 + -22. Suppose -22 = -0*c - 2*c. Suppose -c - 25 = -2*a. What is the least common multiple of x and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 203681, 203787, 203893, 203999?\nAnswer: 204105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(272)*1)**2 + (sqrt(51)\/sqrt(48))**2.\nAnswer: 4369\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 8.08. Let i = r - 0.09. Let j = i + 0.09. Round j to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7280 - 7278. Suppose 5*r - 2*p = -13, 2*r - 4*p = -0*r - 2. Sort 5, r, j, -17 in descending order.\nAnswer: 5, j, r, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 213, -11061, 10 in descending order.\nAnswer: 213, 10, -11061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*m + 27*m - 2*q = 5, -3*m - 13*q - 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 + 6*k - 6. Let u be n(3). Solve u*v - 6*v + 2 = -4*a, -2*a + v = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76 divided by -10.\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2567165 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: What are the prime factors of 2392034?\nAnswer: 2, 67, 17851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of 409*s**5\/60 + s**3\/3 - 164*s**2 - 3. Let w(y) = 4*y. Determine g(w(t)).\nAnswer: 6544*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -3.6427?\nAnswer: -0.72854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 605069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 6952 = f, -2*g = -2*f + 5*f - 4630. What are the prime factors of g?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, w: 2, g: 1, l: 1, q: 4, b: 3}. What is prob of sequence qul?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 0, -4, 11, -6971 in ascending order.\nAnswer: -6971, -5, -4, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 5, u: 4, m: 1, p: 1}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/21  (b) -0.7  (c) 0.018  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w + 5*p + 3 - 0, -p = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/((-5)\/((-10)\/(-4))). Let d = -2 + 7. Suppose 0 = -5*m - 0 - d. Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 2*v**4\/13 - 6654*v**3\/13 + 13298*v**2\/13 + 6654*v\/13 - 13300\/13 = 0?\nAnswer: -1, 1, 2, 3325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 5. Let z be 5\/15*-9 - (-59 - 0). Suppose -z + 56 = -2*s. What is the closest to s in n, -3\/2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 - 11*y**2 + 9*y - 3. Let x be l(9). Let m = 136 + x. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3759 (base 10) to base 2.\nAnswer: 111010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*t + 11*t + 8*t + (216*t - 105*t - 98*t)*(1 + 0 + 1).\nAnswer: 50*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 48 - 35. What is the third derivative of 12*m**4 - 12*m**4 - 9*m**2 - y*m**2 + m**6 wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {q: 2, s: 1, z: 4, r: 3, h: 8, e: 2}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y. Let v(n) = -7*n + 3. Let f(j) = 6*o(j) + v(j). Let g be f(-6). Suppose 3*b = 5*q - g, 2*b = q + 4*q - 11. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 48 - 22. Suppose 0 = -3*j - 4*w - i, -5*w = -w + 8. Let q(a) = -a**3 - 7*a**2 - 6*a - 4. Let g be q(j). What is g rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 17, 5, 4\/5 in descending order.\nAnswer: 17, 5, 4\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 325557 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41 divided by -236370.\nAnswer: -41\/236370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005315769 to 4 decimal places.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 + -63)*(17\/(-7) + 2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gujjfrjffrjjujkufj. What is prob of picking 2 r and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 5337\/3064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-2*sqrt(8) - sqrt(2)))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4452990?\nAnswer: 2, 3, 5, 151, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21*0.00967.\nAnswer: 0.20307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 186 + -184. Sort -8\/3, 4\/7, h in descending order.\nAnswer: h, 4\/7, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3\/3 + 291802*k**2\/3 + 1167244*k + 3501768.\nAnswer: -(k - 291814)*(k + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-334)\/30 - 2\/(-15). Let p = 11 + q. Which is smaller: p or 1\/19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17*d**2 + 2*d**2 - 88*d**2 + (-2*d**2 - 3 + 3)*(4 - 4 + 2).\nAnswer: -107*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25*g - 24*g + 22*g + 71*g to the form m + w*g and give w.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.8 * 352340.\nAnswer: -281872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve a**5 - 395*a**4 - 9446*a**3 - 69904*a**2 - 134272*a + 214016 = 0 for a.\nAnswer: -8, 1, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4494175 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**2 - 4*h + 0*h**2 + 2*h. Suppose 2*k = k. Let x(i) = -i**3 - 3*i - 1 + 6*i + k*i**3 - 2*i**2 - i**2. Determine 3*l(y) + 2*x(y).\nAnswer: -2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5102554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27 and 1431?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 25 - 25 = 5*p, -45 = 5*b + 4*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 3321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.5990318 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(6050) - sqrt(2450)*4)\/((sqrt(810) - (-4*sqrt(810) - sqrt(810) - sqrt(810))) + sqrt(80)\/sqrt(8)*6).\nAnswer: -50*sqrt(5)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 21277 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -51 - -28. Let x = -27 - t. Is 38 a factor of x\/2*81\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 90 - -4?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8941882?\nAnswer: 2, 71, 62971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 279217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -3*m**2 - 47 + 4*m - 6*m + 49. Let i(j) = 596*j**2 - 591*j**2 + 4*j - j - 4. What is 4*i(q) + 7*y(q)?\nAnswer: -q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 25*n**2 - 1503*n + 184. Let x be d(60). Solve -x*o = -1378 + 1346 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -4 - 0 - (-1 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 3 a when four letters picked without replacement from {i: 2, c: 1, v: 4, a: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19.5 - -19.8. Suppose -4*k - 8 + 12 = 0. Which is the second smallest value?  (a) m  (b) 0.1  (c) -0.4  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, 13, 55, 133, 259, 445, 703, 1045?\nAnswer: 1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23*s**3*y + 972*s**3 + s**2*y + 2*s**2 - 45876*s*y - s wrt s.\nAnswer: 138*s*y + 5832*s + 2*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 3*i - 16 = 0, 0 = 3*t + 10*i - 9*i + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 89043601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 5 + 23 + 9*u.\nAnswer: 9*u + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 362.9659g to tonnes.\nAnswer: 0.0003629659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.2, 0.4, 3, 0.316?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*a = 37*a - 180. Let n be (-224)\/24 + a - -1. What is the nearest to n in -1, 2, -1.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*(-1)\/20*2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1811 is divided by 151.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mjjm when four letters picked without replacement from {m: 2, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*b - 14*b - 2628 = 0. Suppose 138*y - b*y = -440. Calculate the lowest common multiple of y and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 717731870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d - 8. Let l be o(-4). Solve l = -3*g - g - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*-4)\/(334624\/(-439194)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/10)\/(4\/20) + -15*(-517)\/(-705).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 765697, 1531395, 2297093, 3062791, 3828489, 4594187?\n\"Answer: 765698*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 3*x = 5*k + 9, 3*k + 12 = 4*x. Suppose k*p = 2*p + 6. Let l(v) = 1484*v - 955*v - 528*v + 3. What is l(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - 4724?\nAnswer: -4713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 133986 and 21027?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 91448.\nAnswer: 5\/91448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2318*r**5 + 10*r**2 - 30 wrt r?\nAnswer: 139080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 2*t + 28, -8 = -4*i - 5*t + 91. Solve j = -5*z + i, 27 = 2*j + z + 4*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.0132 or -13?\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (44 - (79 - 20)) + 50.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 4 = -2*y. Suppose -6 = -x - 0. Suppose x*d - 212 = y*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(130)\/sqrt(5))\/sqrt(2) - sqrt(13))**2 + sqrt(13)*1*5)*4.\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4, -25, -44, -55, -52, -29, 20, 101?\n\"Answer: h**3 - 5*h**2 - 13*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4*(10\/(-8) + -2). Let v = q - -33. What is the lowest common multiple of 18\/(-8)*8\/(-3) and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**3 + 27954*k**2 - 3829086*k + 131774958 = 0. What is k?\nAnswer: 69, 13839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2\/3 - ((-9860)\/2610)\/((-4)\/6) - 67\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 242388*b*r**3 - 60908571*b*r - 323*r**3 wrt r.\nAnswer: 1454328*b*r - 1938*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*v = -56 - 182 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-92)\/345*(-374)\/(-8) - (-182)\/14.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m**2*m*m*m))\/(m\/(m**(1\/2)*m))*(m**(-1\/4)*m)\/m*m**(1\/3))\/(m\/m**(3\/4)*m**(1\/3))**(-2\/7) assuming m is positive.\nAnswer: m**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1671354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) 2901  (b) 0  (c) -0.2  (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1.63977983 - -35\nAnswer: 36.63977983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 2, 0 = -4*g + 3*t + 2*t + 202. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, m: 12, j: 2, i: 4}. What is prob of picking 1 i and 1 j?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 116316 + -1?\nAnswer: 116315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -42*t**3 + 4*t**2 - 7*t + 7. Let r be o(2). Let a = r - -322. Sort -1, 22, 0, a in descending order.\nAnswer: 22, 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 108\/(-84) + 12\/336*988\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 4 + (1 + 2 - 4)*(-2 + 2 + 1))*(-112*p + 150*p + 165*p)*(-p**2 - 41*p + 45*p - p**2 + 3).\nAnswer: 1218*p**3 - 2436*p**2 - 1827*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -109356464 - 56.6\nAnswer: -109356520.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -1.6. Which is the closest to -3\/5?  (a) -3  (b) m  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 4*f**2)*(0 + 0 - f)*(-f + 0*f + 3*f).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -3*t + 9. Suppose u = -5*r + 29 + 8, 2*u - 3*r = 9. Let x be w(u). Let k = 18 - x. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 443688 and 5823006?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u**4 + 888*u**3 - 6492*u**2 - 17936*u + 87936 = 0 for u.\nAnswer: -229, -4, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136 = -j - 3*l, -2*j + 3*l - 318 + 19 = 0. Let c = j - -148. Suppose 2\/3*d**c + 8\/3*d**2 + 10\/3*d + 4\/3 = 0. Calculate d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + 1 + -4 + 7. Suppose 2*h + w*h - 85 = 0. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 811\/274 + 4691\/822. Suppose 32\/3 + 94\/3*u + g*u**3 - 2\/3*u**4 + 30*u**2 = 0. Calculate u.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/((f*f**(1\/2))\/f))**(-39)*(f\/(f*f\/f**(-3)))**31 assuming f is positive.\nAnswer: f**(-287\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 328*w**2 - 830*w**2 + 258*w**2 + 259*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of 0 + 0*n**5 - 7\/30*n**6 + 4*n + 0*n**2 - 1\/3*n**3 + 0*n**4. What is the second derivative of m(f) wrt f?\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*n**3 + n**2 - 1439*n + 187645 with respect to n.\nAnswer: 15*n**2 + 2*n - 1439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -4*b**3 + 4*b**2 + 5*b + 4. What are the prime factors of t(-2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2314 - 2?\nAnswer: -2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 39*m + 7252. Sort m, 2, 0 in descending order.\nAnswer: 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 31.837 * -5.\nAnswer: -159.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 + 7*j**2 - 4*j - 8. Let q be c(6). Suppose -13 = -5*o - 3. Factor 2*t**2 - o*t - q - 3*t + 3*t.\nAnswer: 2*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-7)\/(-42)*(1 + -5). Which is bigger: -5809 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 76 and 190?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1843324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(3)*-3 + 1.\nAnswer: -3*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -210468, -420944, -631424, -841908?\n\"Answer: -2*g**2 - 210470*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c07 - 902ac?\nAnswer: -8d4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 5\/4, -7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.15 * 1001366\nAnswer: -150204.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, 34, -4, 100, 2, 83 in increasing order.\nAnswer: -4, 1, 2, 5, 34, 83, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -86 less than -590?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -2. Let q(s) = -s**3 + 13*s**2 - 12*s - 3. Let x be q(12). Let l = x + u. Solve v + l = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnnnnnnnnnhnnhnnn. Give prob of picking 3 n.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 5*x - 89, -x = -4*x + 3*g + 51. Suppose -23*r + x*r = 8. Let k = 1 - 1.1. What is the third smallest value in -1\/4, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -2*f**5\/7 + 9504*f**4 - 552780796*f**3\/7 - 7754040256*f**2\/7 + 2452308114*f - 1265628896 = 0?\nAnswer: -16, 1, 16639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 388*g + 131 = 199 + 481 + 227 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/2)\/(4\/84*35)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 261 + -261.584. What is g rounded to two dps?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 67333\/60 - 1122. Let f = -5\/12 + h. Is 0.08 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*k + 79*k - 20*k + 68*k as i + u*k and give u.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -25, -x - 4*x = -5*n - 40. Let o = n - -20. Differentiate -3 + o*d**2 - 3 + d**2 - 2 wrt d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -107564581 to the nearest 10000.\nAnswer: -107560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -376 + -257. Is 6\/(1 - (-627)\/w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -0.5, 0.8, -47?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 62950771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -3*q**2 + 5*q - 7. Let h be g(6). Let i be (4 - h\/(-20))\/(3\/10). What is the smallest value in -0.02, -2, 2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2029243?\nAnswer: 2029243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 719 divided by -1.\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1037764*b**5 + 806335*b?\nAnswer: 20755280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 3*l**3 + 4*l**2 + 2*l - 2. Let k = 470 - 140. Let h = -332 + k. What is j(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 + 46\/8)\/((-6)\/(-936)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of 40 + 1\/2*g**2 + 0*g + 0*g**4 + 0*g**5 - 134\/7*g**7 + 0*g**6 - 145\/3*g**3. What is the third derivative of x(v) wrt v?\nAnswer: -16080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/29)\/n)\/n*n**47 assuming n is positive.\nAnswer: n**(1303\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 4*r**2 + 0*r**2 - 6*r**2 + 5*r**2. Let u(t) = -t - 7. Give u(s(w)).\nAnswer: -3*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8372 or 8381?\nAnswer: 8372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 2:21 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4525 by 5.\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -136 - -211. Calculate the remainder when h is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -20459, -20585, -20801, -21113, -21527?\n\"Answer: -s**3 - 39*s**2 - 2*s - 20417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, c: 4, q: 6, e: 4}. What is prob of picking 1 l, 1 q, and 1 e?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 + 3*q - 9. Does 15 divide w(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 245+28223.22339\nAnswer: 28468.22339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/(-678))\/(((-1088)\/11968)\/(6\/77)).\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 72*c + 36*c - 3 = -37*c, -c + 3 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 4*v, 2*v = 2*c + 5*v. Suppose c = 11*x + 8 - 63. Solve -3*i + x*i + 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 1343 + 192 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**3 - 1134*c**2 - 6*c**3 - 2*c**3 + 5*c**3 - 142884*c - 6001128 - 3*c**3.\nAnswer: -3*(c + 126)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 380 + -131. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6529 (base 11) to base 5.\nAnswer: -233442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 - -13. Let i(l) = -2*l + 3 - 12 + 7 + h. Give i(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 5*o**3 + o**2. Let s be q(1). Solve -w = 2*f - 9, -2*f = 2*w - 6*w + s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0009990898978 to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1487576.8785 minus -65?\nAnswer: -1487511.8785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 79525.29 hours?\nAnswer: 286291044000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of 13*t**5\/20 + 5*t**3\/6 - 6*t**2 - 18*t. Differentiate y(a) wrt a.\nAnswer: 39*a**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 628 + -624. Let x = 34.83 + -35. What is the second smallest value in x, b, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 3. Let r = -1100 + 1102. Which is the closest to -2?  (a) d  (b) r  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.11046 decades in months?\nAnswer: 133.2552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -643914 less than -4.873?\nAnswer: 643909.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 209 = 5*q + 17*u - 21*u, 3*u = 5*q - 213. What is the remainder when 182 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2346*t**2 + 6*t - 1. What are the prime factors of u(-1)?\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -47.37840962 and -321.\nAnswer: -368.37840962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 6.5. Let f = -4 - -5. Let u = 3 - f. What is the nearest to 0.1 in t, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-354)\/(-10))\/(8 + 451\/(-55)). Let m = v + 182. Solve -4*q - q + 25 = -5*z, 2*q + m*z + 4 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 2*y - 94 = 0, 2*y + 29 = -5*o - 93. Let t = o - -256. Let a = t + -87. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.03 + -0.06. Let j = f - -0.03. What is the smallest value in -0.3, -1\/3, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37797 divided by 36?\nAnswer: 12599\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 - r**2 - 383*r - 41. Determine j(20).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y - 11. Let f be b(-14). Let w be (2 + f)*276\/115. Solve 3*p = 3*i + 3, 2*p - w = -5*i + 2*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -123 + 122. Let x = -0.9 + 1. What is the closest to x in c, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 5412 = -3*o, -o - 4*p - 377 = 1437. Let h = -1155 - o. Is h a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89915 not equal to 809242\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 376 = 70. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 336 = -4*g + 6680, 2*g = 2*y + 3494. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -3*y + 33, 3*y = 4*k - 12 + 36. Solve d + 4*d + 2 = 2*b, -b - y = 4*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/32543088 and -91\/10169715?\nAnswer: 162715440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 40 = 44. Solve -w*g + 3*z + 4 = -0, 5 = 5*g + 4*z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -6\/734825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10.41 - 11.4. Let t = 0.78 - -0.61. Let c = r + t. Put -4, c, 21 in descending order.\nAnswer: 21, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 21*s + 19*s + 4 - 39*s. Give m(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 PM and 6:47 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-10)*(-3055)\/94.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5236 - 183201\/35. Let k = y - 7\/5. Factor 2\/7*x - k*x**3 + 0 + 0*x**2.\nAnswer: -2*x*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/9*-15*-3. Let s = b + -11. Let z(p) = -p**2 + 4. Let x(k) = 2*k**2 - 9. Calculate s*z(y) + 4*x(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of -j**5\/240 + j**4\/96 + 11*j**3\/2 + 9*j**2. Factor c(t).\nAnswer: -(t - 12)*(t + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mje. Give prob of sequence emj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.23 + -14.23. Let s = -14.0082 - x. Round s to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -267, -262, -271, -300, -355, -442?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 12 = 4*s, -2*i - s + 5 = 2*s. Let o = 22.4 + -22. Which is the smallest value?  (a) o  (b) 1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1064223203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 1 = 5. Suppose 2*r = -k*i + 339 - 115, r = -2*i + 150. What is the highest common factor of 19 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 252589\/18 - 14029. Calculate the common denominator of -17\/4 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 3:00 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4124?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, -3380605, 5 in decreasing order.\nAnswer: 5, 4, 2, -3380605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2869\/29 + 99. Let q = -0.04 + -0.96. What is the closest to q in -1\/3, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-5*((sqrt(5) + -3)*-6 - sqrt(5))**2 + (sqrt(20) + sqrt(100)\/sqrt(405) + sqrt(20))\/sqrt(4)*4.\nAnswer: -14225 + 56776*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1158909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 5*m**2 + 0*m**3 - 2*m**3 + m**3 - m - 5. Let w(a) = -a**3 - 5*a**2 + 4*a - 7. Let n be w(-6). What is l(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3686 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 AM and 6:40 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 147389 + -3?\nAnswer: 147386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of 365*t**2\/2 - 86*t - 174. Differentiate f(i) with respect to i.\nAnswer: 365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1580000 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 1635*m + 133222. Let d be z(-86). Let c(b) = -b**2 + b + 3. Let u be c(0). Suppose 18*a**2 + 10*a**u + d*a - 4 + 7\/4*a**4 = 0. Calculate a.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 26 = -p - 2*f, -f + 98 = -3*p. Let n(o) = 2*o**2 + 2*o - 5. Let h be n(-6). Let y = p + h. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -2544?\nAnswer: -2552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of f**4\/12 - 3*f**3\/2 + 5*f**2 - 234*f. Give n(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -8647, -8920, -9221, -9550, -9907, -10292?\n\"Answer: -14*i**2 - 231*i - 8402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 56 and 35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j - 2. Let h = -2 - -7. Suppose 13 = -h*n + 53. Let i be z(n). Solve -4*b - i = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 + 1925*d + 92675. Calculate r(-47).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/41124 and -49\/41124.\nAnswer: 41124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the third derivative of a**5\/30 - 5*a**4\/24 - 5*a**3\/2 + a**2. Let o be x(7). Suppose 7*r - 3*r = o. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44 divided by 765499.\nAnswer: 44\/765499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 50937*g + 916857. Calculate h(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 359885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5031715 divided by 199?\nAnswer: 25285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + 4*x - 4. Let n be d(-5). Suppose 7 = 4*h - 5. Suppose 8 = 4*z - 0*t - t, 5*z - h*t = 10. Is z at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of n**6\/60 - n**5\/60 + 4*n**2. Find the third derivative of p(i) wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 65601.31 micrometers?\nAnswer: 0.00006560131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*q - 5*u + 6 - 32 = 13*q + 16*q, -5*u = -24*q + 73 - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-5*sqrt(91)\/sqrt(7) - (sqrt(13)*1 + -2 - sqrt(13)) - ((sqrt(13) + sqrt(13) + 5*(sqrt(65)\/sqrt(5) + sqrt(13)))**2 + (sqrt(234)\/sqrt(2))**2)*-3).\nAnswer: -5*sqrt(13) + 5972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**0)**(4\/9)\/(t**(-2\/5))**(-15)*(t**1\/t)**(-19)\/(t**(4\/7)\/t**(3\/7)) assuming t is positive.\nAnswer: t**(-359\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -j. Suppose 7*q - 2*q + 22 = 3*a, 0 = a + 2*q. Suppose 2*f - 3*h - 204 = j, 3*h = a*h. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 162660208.3 rounded to the nearest one thousand?\nAnswer: 162660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n - 4*n - n**2 + (-5*n + 0*n + 4*n)*(-2*n - 2*n + 5*n))*(2 + 3547686*n + 0 - 3548039*n).\nAnswer: 706*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -3, -0.1, 2\/19, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 137*w = 145*w. Let x(f) be the second derivative of -13\/12*f**4 + w + 0*f**2 - 5*f + 0*f**3 - 13\/20*f**5. Find the third derivative of x(l) wrt l.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 - 86 = 95*u + 347. Let w(m) = m. Let r be w(2). Let p = -5 + r. Put 1\/2, 2, p, u in descending order.\nAnswer: 2, 1\/2, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3*t = 6, 4*m + 3*t = 11 - 2. Let c = -64196 + 64198. Solve -c*i - m*h = -3, -2*h = -6*i + 8*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -13*u**2 - 13*u - 7. Let w(f) = -7*f**2 - 7*f - 4. Give 6*g(r) - 11*w(r).\nAnswer: -r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3125764164.\nAnswer: 2, 3, 8017, 32491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 146692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**32*g**(-10\/7))\/(((((g*g\/((g\/((g\/g**(2\/5)*g)\/g*g)*g*g)\/g)*g*g)\/g*g)\/g)\/g)\/(g**3*g)) assuming g is positive.\nAnswer: g**(1154\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000001101 - -11?\nAnswer: 1000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 3*o = -179, q - 4*q + 3*o - 144 = -3*q - 153 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/2 and 29\/20773.\nAnswer: 41546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of 1\/3*y**4 - 2*y + 0*y**2 + 0 + 0*y**3. Let j(b) = -2*b. Calculate u(j(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 6. Let h(u) = g + 0 - 2*u + u. Let d(x) = -x**3 - 6*x**2 - 174*x - 666. Let z be d(-4). Calculate h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {r: 1, y: 3, t: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 547650?\nAnswer: 2, 3, 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.0604 + 205.9396. Let m = 2353.7708 + -2559.77241. Let v = y + m. What is v rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35*(-30)\/(-315)*3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, e: 5, s: 3, j: 3}. What is prob of sequence yesj?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -43842 or -2937463\/67?\nAnswer: -2937463\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 220 - 219. Let r(z) = -14*z**3 - z**2 - z + 1. Determine r(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1 + -7)\/((-30)\/80*(-20)\/(-8465)) is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 - 22*k + 1. Let i be x(22). Suppose -2*h - 4*b + 13 = 5, -3*h + i = -5*b. Let n(l) = 84*l**2 - 6*l + 5. Is n(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 202011121 - -20110?\nAnswer: 202102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 20*v**2 - 296*v + 1605. Calculate t(7).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 11) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 264 (base 9) to base 15\nAnswer: ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 11:03 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 670 and 12.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 5*j - 30. Factor 0*v + 0*v**2 + 0 - 2\/9*v**4 - 4\/9*v**j.\nAnswer: -2*v**3*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11)*-4*5 + sqrt(132)\/(sqrt(24)\/sqrt(2)))**2.\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.206408 and -0.2.\nAnswer: 1.006408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 6:42 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -1957133?\nAnswer: -3914266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 + 4*o - 4. Let z = -13 - -14. Let w(u) = -1. Let v(l) = z*t(l) - 4*w(l). Solve v(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 8*d**2 - d. Let p be g(1). Suppose -k - 2*f + p - 3 = 0, -3*k + f = -5. Solve 0*n = k*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -13 + q**3 + 70*q**2 + 66*q**2 + 2*q + 70*q**2 + 66*q**2 - 265*q**2. What is x(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -2*x - 6. What is the highest common divisor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1068.0886 - -1068. Let c = f + 0.07921. What is c rounded to four dps?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2286*2\/2288 - (-6)\/3. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, -7\/8 in increasing order.\nAnswer: -4, -3, -7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2)*(-5*g + g + 2*g)*((2*g - 3*g + 3*g)*(3*g + g - 6*g) + 4*g**2 - g**2 + 0*g**2).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)*1)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(3*(sqrt(72) - (sqrt(72) - ((-1*sqrt(72) - sqrt(72)) + sqrt(72)))))\/((sqrt(20)\/sqrt(5) + sqrt(4) + sqrt(4))*-6).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3*((-8)\/3)\/2. Let d(h) = -2*h + 2*h + 7*h - k*h. Let g(p) = -2*p**2. Give d(g(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o**2 + 3*o**2 - 2*o**2)*(74*o**3 + 159 - 159) - 1 - o**5 + 2 + o**2 + 2*o**5.\nAnswer: -221*o**5 + o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-6*sqrt(180) + 1 - sqrt(180) - sqrt(180)))**2.\nAnswer: -480*sqrt(5) + 11545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 52\/3*y**2 - 16 + 32\/3*y + 4*y**3 = 0.\nAnswer: -3, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 49282, 98563, 147844, 197125, 246406, 295687?\nAnswer: 344968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the third derivative of u**4\/4 - u**2. Let n(s) = s**3 - 15*s**2 + 13*s + 16. Let x be n(14). Let v(c) = -c - 2*c**2 - c + x*c. Calculate v(g(t)).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 6*d**2 - 6*d + 18. Calculate m(-2).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -10001101 (base 2) to base 3\nAnswer: -12020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 6:31 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30282504 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12753, -25477, -38169, -50829, -63457, -76053?\nAnswer: -88617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 144 * 3\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/20)\/(4\/(-20)). Let -3*r**3 - 3*r - 15*r**2 - 17 + g - 21*r + 4 = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -547, -535, -509, -463, -391?\n\"Answer: v**3 + v**2 + 2*v - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*i + 57*i = -528 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3*v**2 + v + 4. Let j be h(1). Let c = 10 - 4. Solve -j*b = -c*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c - 25. Calculate r(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -64  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-72)\/36 + -1*1. Let f be (-1 - -1)\/(4 + -5). Put f, j, 4 in descending order.\nAnswer: 4, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1351, -1352, -1353, -1354, -1355?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.115 + 0.115173. What is n rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1093001 and -0.02735.\nAnswer: -1093001.02735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -234233038*w**3 - 166231686 wrt w?\nAnswer: -702699114*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1.026, -15, 45, 0.4, 2\/15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 10*w - 207. What is i(36)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1607 and 16773866.\nAnswer: 16773866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f - 22915 + 11459 + 11456.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37936969*d**5 - 8309274*d - 1 wrt d?\nAnswer: -758739380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d**2 + 2137*d + 4278. Calculate h(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 45?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 2:31 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16467068 is divided by 499002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110*p - 340*p = 931*p + 3016*p - 271505 for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 121670679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -28*b - 138. Let v be l(-5). Differentiate -2*o**v - 34 - 6*o**2 - 49*o + 9*o**2 with respect to o.\nAnswer: 2*o - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*16\/(-40) + (-305)\/(-155).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyjyjjyiijyuyjiyjuj. Give prob of sequence uj.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -27 + 63. Calculate the highest common factor of 72 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000101110 (base 2) in base 4?\nAnswer: -20232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7463318 or -7463319?\nAnswer: -7463319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -19 - 19 - 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2512 and 98376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 33 + 44*x + 38*x - 133*x + 52*x.\nAnswer: x + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 6 - 4. Suppose u*w + 3 - 1 = 0, 0 = a - 3*w - 5. Solve -a*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 140955125 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.015, -0.2, -172\/5?\nAnswer: -172\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4 < -76932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -717 * 13218.\nAnswer: -9477306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-4*2*1*sqrt(65))\/(sqrt(245)*-2 - sqrt(245) - (sqrt(80) + sqrt(5))*3).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/317 and -24\/283?\nAnswer: 89711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4*((-5)\/((-160)\/12))\/(((-144)\/32)\/9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, 20, -8, 507 in increasing order.\nAnswer: -8, 1, 5, 20, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 412\/(-3360) - 6570\/76650?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c + 50. Calculate m(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 53\/5 of a century?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 16, -28, -4, 7, -19 in descending order.\nAnswer: 16, 7, 3, -4, -19, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2977 - 3004 = -118*x - 292 - 1677 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 189589519 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7699\/82652 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2.6  (b) 0.0544  (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(14)\/sqrt(2) + 5 - sqrt(112)*-5) + 2*sqrt(847) + sqrt(847) + 0)**2 + -4.\nAnswer: 540*sqrt(7) + 20433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 5*4.3775\nAnswer: 21.8875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + 70?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1104 and -367166.0205.\nAnswer: -366062.0205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 655761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 + 15*b + 34. Let d be h(16). What is the highest common divisor of d and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 24*t**2 - 4*t - 937. Let o(j) = -80*j**2 + 14*j + 2811. Give 7*a(c) + 2*o(c).\nAnswer: 8*c**2 - 937","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24 - 16. Suppose -h = -4*o + 12. Let x(b) = 4*b**2 - b. Let p be x(1). Put -4, o, p in ascending order.\nAnswer: -4, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -8, 0, -11401?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nckh when four letters picked without replacement from jnknhchoo?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + 2 + sqrt(700) + sqrt(700) + sqrt(700) - sqrt(700) - sqrt(700)*2*-4)**2 - -5*(sqrt(700)*1 + sqrt(700) + -1))*1.\nAnswer: 700*sqrt(7) + 70004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 341857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 - 30*t + 97636396 - 97636396. Let a(o) = 2*o**2 + 59*o. What is 2*a(l) + 5*b(l)?\nAnswer: -l**2 - 32*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -190.\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 10) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 23*p**2 - p - 20. Let l be t(-23). Let d be (110\/35 - l\/21) + -1. Solve 2*q + d*q = -16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-3*sqrt(190)*-4 - sqrt(190)) + sqrt(190) + sqrt(190) + sqrt(190))*6)\/(-1*(6*(sqrt(10) - (sqrt(640) + sqrt(10))) - sqrt(10))).\nAnswer: 12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 - 7. Let d be (-1)\/3 + 7\/s. Let i = 149079 - 149064. Solve -5*b - i = -d*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 772 = 35*f + 161*f - 1580 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r + 11*r**2 - 9*r**3 - 4*r**3 + 14*r**3 - 1 + 16*r. Let v be u(-9). What is the units digit of (115\/(-2))\/(v - (-3)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 138 = -3*o. Let u be 116\/6 - 1\/3. Suppose -4*b = -o - u. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tjtjtt. Give prob of sequence jj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*p**4 + 5*p**4 + 4*p**4)*(8 + 0 - 3) to the form v*p**3 + s*p**4 + c + n*p**2 + y*p and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 216086*x**3 - 254303315*x?\nAnswer: 1296516*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j**4\/7 - 62*j**3\/7 - 206*j**2\/7 + 62*j\/7 + 204\/7 = 0.\nAnswer: -3, -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 3*x - 41 = 0, 3*f - 4*x = 2*f + 20. Suppose -13*u + 12*u = -f. Suppose 5*r = u*r - 24. Calculate the greatest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v + 11. Let m(k) = -2*k - 32. Let p(g) = -8*a(g) - 3*m(g). Let y(x) = 82*x**2 + 63*x**2 - 147*x**2. Determine p(y(q)).\nAnswer: 4*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 47 = -4*s + 5*s, -3*t + 2*s + 72 = 0. What is the smallest common multiple of 14 and t?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 94*w - 7787. Let s be f(83). Solve 11*j - 9*j = 4*x - 20, 3*x = -j + s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7396, 5, 6, -2, -4, -8 in descending order.\nAnswer: 7396, 6, 5, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 3*z**3 - z**2 - 5*z + 2. Determine q(3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {u: 4, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 3  (b) -2\/23  (c) 21  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -14680000 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3390385579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36197, -36192, -36181, -36164, -36141, -36112?\nAnswer: -36077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 22*p**5 - 569646*p**4 - 2*p**3 + 9*p**2 - 11295188 wrt p.\nAnswer: 1320*p**2 - 13671504*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 21 = 6*r. Suppose r*t = -11*t + 198. Let f(s) = 3*s**2 - 11*s + 4. Let g(l) = 2*l**2 - 6*l + 2. Determine t*g(u) - 6*f(u).\nAnswer: 4*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 198100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (10\/(-4))\/((-12)\/3216).\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d - 3c2008?\nAnswer: -3c1dd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17*h**2 + 17*h**2 - 41*h**5 - 5 - 5*h**5 + 5 + (-h + 0*h + 4*h)*(-3*h**2 + 3*h**2 - h**4) + h**5 + 0*h**5 - 3*h**5.\nAnswer: -51*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5873051 is divided by 734122?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (3 - -1 - (-3 + 9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 209.78 and 0.16.\nAnswer: 209.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -451200 divided by -240?\nAnswer: 1880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1075391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/3 and 109\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 7 - 3 + (2 + 1 - 1)*(3 - 1 + 0) + 1 + 0 - 3 - 101 + 144 - 118)*(6*s**3 + 10*s**5 - 6*s**3).\nAnswer: -710*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2*(3\/(-21))\/(7\/(-49))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(540) - (sqrt(540) + sqrt(540) + sqrt(540)*-2)*-2)\/(sqrt(24)\/sqrt(2)*-6))\/((sqrt(216)\/(-1*sqrt(6)))\/(sqrt(576) + sqrt(16))).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 34 + -31. Let l be p\/9*(0 + -2). Let y be (-4)\/6 - (-4)\/6. Is l greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 619320 divided by 39.\nAnswer: 15880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*a**5 - 2924*a**4 - 4*a + 790?\nAnswer: 40*a**3 - 35088*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92*z - 98*z + 54 = 0. Suppose 0 = 3*p + z, -721583 - 842426 = -5*w + 3*p. What is w rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, -3, 1\/2, 0.1, 0.8308.\nAnswer: -3, 0.03, 0.1, 1\/2, 0.8308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5, g: 14}. What is prob of picking 4 g?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1395450 divided by -350\nAnswer: -3987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {b: 1, u: 1, o: 2, f: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/10*(-3)\/((-12)\/(-32))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 587519939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -220452, -440856, -661260, -881664, -1102068?\n\"Answer: -220404*i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 234.6091l?\nAnswer: 234609.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {z: 2, e: 1, j: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 5*l - 444. What are the prime factors of l?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 7*b + 3. Let a(u) = 3*u - 2 - 4*u + 4 - 3. Determine -5*a(z) - s(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1199104853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*4\/12*(8 + -29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2273199, -4546518, -6819837, -9093156, -11366475?\nAnswer: -13639794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6198831 and 46629.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.20294 and 541882926.2?\nAnswer: 541882926.40294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -448 - -473. Let k(n) = -n**3 + 25*n**2 + 36*n - 69. What are the prime factors of k(b)?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 12:40 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*i + 55 = 94*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -385 = -4*r - 3*m, r + 3*m + 3 = 97. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20692400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 32, 4 in descending order.\nAnswer: 32, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j**3\/11 + 483236*j**2\/11 - 966480*j\/11 = 0. Calculate j.\nAnswer: -241620, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (9 - 10) - (-3 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1303.5 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 2*a + 0*a = 20, k - 10 = 11*a - 4*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 + 18*v**2 - 27*v - 102. Calculate c(16).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-253239)\/49)\/((-6)\/4). Let b = n + -1929881\/560. What is the common denominator of b and 31\/40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6, -20, -48, -96, -170, -276, -420, -608?\n\"Answer: -y**3 - y**2 - 4*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -10043 to the nearest 100.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor d - 1\/3*d**2 + 0.\nAnswer: -d*(d - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -246844260 and -538514.\nAnswer: -247382774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/144 and -1\/629544.\nAnswer: 3777264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 46427797 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -23*l**2 + 1. Let i(x) be the first derivative of 5*x**2\/2 + 274. Determine g(i(n)).\nAnswer: -575*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*t**4 + 12437*t**3 - 24870*t**3 + 2*t + 12436*t**3 to the form c*t**2 + j + v*t + n*t**4 + d*t**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -5*g + 4*g. Sort g, 1, 3 in decreasing order.\nAnswer: 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1746.9 + 1747. Let k = 6 + -4. Let t = -40.1 + 38. What is the nearest to t in k, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26051471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 168\/(-13) + 7\/(-91).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**3\/12 + f**2\/12 + 10*f\/3 - 28\/3 = 0. What is f?\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 3*g - 2*g + 6, -4*z - g + 9 = 0. Suppose 8 = -3*f + 7*l - z*l, -4*l = -f - 8. Let m = 4 - 5. Put 2, f, m in increasing order.\nAnswer: m, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of -c**3 + 2. Let b(m) = 21*m**2 - 6*m - 6. Let r(v) = 147*v**2 - 44*v - 44. Let s(w) = -22*b(w) + 3*r(w). Calculate n(s(h)).\nAnswer: -1323*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19 (base 16) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1679275 and 285.\nAnswer: 95718675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*x**2 + 7*x + 6*x**2 - 12*x**2)*(-13 - 3*x**2 + 3*x + 13) to the form f + h*x**2 + j*x**4 + l*x + g*x**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of 2*b**7\/105 + 24*b**6\/5 + 2592*b**5\/5 + 31104*b**4 + 1119744*b**3 - b**2 + 193. Solve j(z) = 0 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -3, 2\/9, 0.2, 9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 68\/21 + -18\/7. Let v = -1.5 + 5. Let z = v + -3.6. Put z, 5, s in increasing order.\nAnswer: z, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a + 5*a - 2*q + 625 = 0, 1878 = 3*a + 5*q. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 778000275 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(2\/99)*((z\/z**(6\/13))\/z)\/z assuming z is positive.\nAnswer: z**(-1855\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x + 2*x - 2*x + (2 - 2 + 1)*(-x + 0*x + 0*x) + 15*x - 5*x + 0*x + 3*x + 0*x - 2*x + x - 3*x + 0*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 380 and 836.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -84*i**2. Let p(q) = 32*q - 20*q - 7*q - 6*q. What is p(x(a))?\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -445534.\nAnswer: 222767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 8107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from {o: 12, v: 6}?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 63204 + -26545703\/420. Calculate the common denominator of (4 + 1 - 4)\/(12\/(-273)) and j.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1337, 2013, 2689?\nAnswer: 3365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of -c**4\/15 - 7*c**3\/45 - c**2\/15 - 6*c. Factor o(i).\nAnswer: -2*(i + 1)*(6*i + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*6\/(-15)*1)\/(804\/(-1005)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + 2\/3. Let y = -7 + 12. Which is the biggest value?  (a) y  (b) i  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(1573)*3 + 4 - (sqrt(1573) + 3 + 2 + sqrt(1573) + sqrt(1573))**2) + -2.\nAnswer: -14185 - 297*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -940*w**2 + 521*w**2 + 1 + 521*w**2 - w to z*w**2 + r + c*w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-1*(-5 + -1 + sqrt(448)) + 3 + -2*sqrt(448) + 3 + -4)**2.\nAnswer: -384*sqrt(7) + 4101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, -8, 21877, 1, 2 in increasing order.\nAnswer: -8, -1, 1, 2, 5, 21877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = -l - 5*k - 92, 34773 = -29*k + 34193 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q + 73 = 29. Suppose -25*o**5 + 906 - 100*o - 906 + 60*o**2 + 395*o**3 + 210*o**q = 0. What is o?\nAnswer: -1, 0, 2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -58c + -47b?\nAnswer: -a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 19046 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 - 7*x**2 + 9*x + 7. Determine b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0.8, -4\/5 in decreasing order.\nAnswer: 0.8, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, -4, 166 in increasing order.\nAnswer: -4, -2, 2, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -20*d**3 - 8*d**2 + 8*d - 11. Let h(m) be the second derivative of -7*m**5\/20 - m**4\/4 + m**3\/2 - 2*m**2 + 32*m. Determine -8*h(g) + 3*q(g).\nAnswer: -4*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -702*r**2 + 620*r**2 + 1325*r**2 - 6*r + r as l*r + w*r**2 + q and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 328153056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 less than -216765942687?\nAnswer: -216765942712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18 - 81\/(-6))*((-132)\/(-165) + 112\/(-15)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2714 != 2\/279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -7*l**2 - 71877*l + 6. Let a(v) = 4*v. Determine p(a(r)).\nAnswer: -112*r**2 - 287508*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s - 3*s + 7*s)*(-2 + 1 - 1)*(13*s**3 - 3*s**3 + s**3).\nAnswer: -22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 205, 331, 673, 1339, 2437, 4075, 6361?\n\"Answer: 18*v**3 + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 19712119 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1650\/418 + -4 + 295\/(-171)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 + 351?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18249844.\nAnswer: 2, 883, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -4*f + 3. Let c be b(-2). Suppose i + c = 2*i. Suppose -1 = h - i. 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 next term in 30619544, 61239101, 91858658, 122478215, 153097772?\nAnswer: 183717329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*y, 3*z - 359 = -0*y + 2*y. Let g = z + -78. Find the first derivative of 3*q - 11 - 18 + g - 18 wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1865, -1170 in ascending order.\nAnswer: -1170, -5, 1865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -37*g**2 - 5084*g - 2055. Calculate n(-137).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is 4476 (base 10) in base 15?\nAnswer: 14d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20128 and 2458336.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -b*s*z**3 + 5*b*s - 2*b*z**2 + 3*s*z**2 - 63*s*z + 5*z**2 + 1 wrt z?\nAnswer: -6*b*s*z - 4*b + 6*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/7 + (-31 - (-1294)\/42). Which is the fifth smallest value?  (a) -4  (b) x  (c) 5  (d) -1\/2  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 43\/2 of a second?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -1 + 0*l + 0*l - 1 + 5*l. Let m(r) be the first derivative of r**2 - r + 2. Let j(b) = 17*m(b) - 6*z(b). Differentiate j(i) with respect to i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1382422, -1382410, -1382398, -1382386, -1382374, -1382362?\n\"Answer: 12*b - 1382434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -83 - -83. Suppose s*i + 5*i - 135 = 0. Suppose i*h - 627 = 24*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2. Let n(v) = 2*v**2 - 4*v - 7. Let l(y) = -92*y**2 - 19*y + 42. Let x(h) = -l(h) - 6*n(h). Calculate x(j(r)).\nAnswer: 80*r**4 + 43*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 100 divided by 6\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 59 and 0.5.\nAnswer: 59.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - 0)*(6 - 1). Let p = 7 + d. Let l(x) = -2*x**p - x + x. Let u(g) = -3*g. Give l(u(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 114 - 114.7. Let t = -77 - -77.08. What is the third smallest value in 0.1, 1, t, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3574509?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 4321.\nAnswer: 1\/4321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -3*l**2 + 3. What is u(-3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13452 - 369729 - 412811 = -32*u. What are the prime factors of u?\nAnswer: 2, 61, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 138924, 138844, 138712, 138528, 138292, 138004, 137664?\nAnswer: 137272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.4 + 0.6. Let k = -43\/144 - -3\/16. What is the second biggest value in -0.1, k, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 303 + -7. Let k = n + 314. Suppose -4*f = -2*a + k, -5*a + 0*a = -3*f - 468. Round f to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15204 and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24 - -38 - 1) + -5 - (-1 - 10) - -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -3*w - 36. Which is the nearest to w?  (a) 3\/2  (b) -2\/9  (c) 3  (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of 3*o**4\/4 - 31*o**3\/3 - 19*o**2\/2 - 27*o - 826. Give p(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3577*d - 17876. Calculate k(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2 = 0, -o + 47*l = 48*l - 256. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 40168920 by 6694820.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q + 19. Let x be j(-10). Let n(g) = -g**3 + g**2 + g + 1. Let k(c) = 7*c - 3*c - 8*c**2 - 2*c - 2*c**2 + 11*c**2. Give x*k(t) + 2*n(t).\nAnswer: -2*t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of -n**8\/210 - n**7\/140 + n**6\/20 - n**5\/30 + 25*n**3\/3 - 1. Let j(p) be the third derivative of u(p). Solve j(i) = 0 for i.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -23\/2, 1.1567, 1 in decreasing order.\nAnswer: 1.1567, 1, -0.4, -23\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 485440?\nAnswer: 2, 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 12*q - 235. Let m(u) = -10*u + 235. Let n(b) = 4*g(b) + 3*m(b). Calculate the remainder when n(15) is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 153117*m**2 + 1071806*m - 85. Determine y(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -26719.33 rounded to the nearest one hundred?\nAnswer: -26700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + 5513?\nAnswer: 5513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -2.85.\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -440877*o + 440873*o - 16 - 1 + 27 + 72.\nAnswer: -4*o + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28 + -26. Suppose -5*t = -v - 7, -3*v + 3*t + 15 = -0*v. Calculate the least common multiple of j and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1598*n - 244 + 34 = 1608*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -16. Let i = f - 9. Solve n + i = 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48071 - 3*f + 48071.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -q**4 + 13*q**3 - 21*q**2 - 85*q - 50 = 0?\nAnswer: -1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 399 - 289 = 0. Let f be c\/14 - 69\/(-161). What is the highest common divisor of 50 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -681, -1367, -2053, -2739, -3425?\n\"Answer: -686*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -5*d - 45, -1 = 4*d - 9. Suppose 2*u + 3 - i = 0. Suppose u*t - 1 = 3*t. What is the smallest common multiple of 21 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -490*i**3 + i**2 - 6*i + 4. Let o be u(4). Let j be (-51364)\/(2\/(-6)*-3). Let r = j - o. Round r to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3\/6 + 5895\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from emeeeeeexmmmexefxmxe. Give prob of sequence emmm.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 5.9. Let z = -22.8 + 26. Let s = v - z. What is s rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*a - 4 + 4)*(-44 - 581 - 958) to the form u*a + t and give u.\nAnswer: 3166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3*t**3 - 4*t. Let y(m) = -16*m**3 - 21*m - 1. Determine 11*j(d) - 2*y(d).\nAnswer: -d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-1*(540\/63 - 12))\/((-2)\/(-7))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/11 - 8*g**2\/11 + 2*g\/11 + 12\/11.\nAnswer: 2*(g - 3)*(g - 2)*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 46 and 897.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s**3\/2 - 69145*s**2\/4 + 149411541*s - 74701449 = 0. What is s?\nAnswer: 1\/2, 17286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-24)\/21*(-21)\/6. Suppose t = 4*o - 13, -y = t - 2*o + 1. Is t + 51\/6*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*l + 7*l + 5*l**3)*(2 - 3 - 1)*(-25 + 25 - l) to the form u*l**2 + n + p*l + j*l**4 + q*l**3 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**2 + 1003980*w + 2007940.\nAnswer: 5*(w + 2)*(w + 200794)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add -120714 and 0.3.\nAnswer: -120713.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 13 = -2*y, 4*x + 15 - 3 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 67\/5  (b) 1\/23  (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 9, 4, 2\/17, -0.2, 2\/29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4302880 by 2.\nAnswer: 2151440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 7:01 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6707167 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that m**2\/6 - 302780*m\/3 + 45837864200\/3 = 0.\nAnswer: 302780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2587035 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6184170, 6184149, 6184114, 6184065, 6184002, 6183925, 6183834?\nAnswer: 6183729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 211177 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -450 + 452. Solve -2*g - 8 = 0, t*z + 5*g = z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 1:02 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -557, -1109, -1671, -2249, -2849, -3477, -4139, -4841?\nAnswer: -5589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -1. Let j = -6 - -2. Which is bigger: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -240 + 127. Let v = h - -117. Solve -5*r + 9*r = -v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 948 + -947.9998138. Round v to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -203 - -326 - (1 - -43).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**4 + 0*o**4 + 0*o**4 + (-o**2 - o**2 + 6*o**2)*(7*o**2 + 2*o**2 + 2*o**2).\nAnswer: 42*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 359 - 2642 = -382*h + 4975 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((84\/210)\/((-6)\/(-50)))\/(-4)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*r*s**3*u**2 - r*s**3*u - 4*r*s**2*u - r*s + 15*r*u**2 + 5*s**3*u**2 wrt s.\nAnswer: -66*r*u**2 - 6*r*u + 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -18315 divided by -5910?\nAnswer: 1221\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from orrlprolgrod. Give prob of picking 1 g, 1 r, 1 l, and 1 p.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 3*y + 11. Let b be a(5). Suppose b = -5*l + 146. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -19*v**2. Let d(w) = -w**2 + 5. Give d(c(y)).\nAnswer: -361*y**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16133 = 236*u - 5985 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -68191 smaller than -68193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -327, -618, -925, -1254, -1611?\nAnswer: -2002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -815*-297\nAnswer: 242055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = 4*j + 26, 0 = 3*j + 372*d - 370*d + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2006999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17559.\nAnswer: 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**0)**(6\/11)*d\/d**(2\/17)*(d*d**(2\/5))\/d assuming d is positive.\nAnswer: d**(109\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -3*p**2 + 0*p**2 + 2*p**2. Let o(y) = -y**3 - 13*y**2 + 8*y + 4. Let r(j) = -5*a(j) + o(j). What is the tens digit of r(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, e: 5}. Give prob of picking 2 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 62220 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 28.71813um in centimeters?\nAnswer: 0.002871813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n + 181*n - 798 = -28*n - 2679 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -12*o**3 + 17*o + 6. Let p(d) = 13*d**3 - 18*d - 7. Calculate -7*j(h) - 6*p(h).\nAnswer: 6*h**3 - 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*k - 12. Suppose 2*t - 2*h = 6, -k*t = 2*h + h - 6. Suppose -t*n = 2*n + 25. Let f(a) = -a + 2. What is f(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 - 4*y**2 + 3*y + 2. Suppose -3*a + 12 = -f, 2*f - 5*a = 4*f - 31. Let c be q(f). Let g(v) = 3*v**2 - c + 3*v - v**2 + v**3 - v. What is g(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.4 - -0.3. Let v = 0.1 + j. Suppose 2*d = 2*g - 4, -4*g = 3*d - 2*d - 3. Which is the closest to g?  (a) 0.2  (b) 4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 34077  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 31250*p - 5312492. What is u(170)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g\/g**(1\/4)))**17 assuming g is positive.\nAnswer: g**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2320?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1983 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**3*s)**(10\/7)*((s**(-3)\/s*s)\/s*s)**46)**(-8\/9) assuming s is positive.\nAnswer: s**(7328\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29 - -197. Let q = 180 - u. What is the greatest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 64659 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 5*a + 1. Let h be p(0). Is 5\/3 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {x: 2, l: 2, h: 1, w: 1, e: 5, s: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31 + 33. Solve 6*y - i*y = -u - 8, 0 = 2*u - y - 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3024 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1.1  (b) -6.3  (c) -1  (d) -1\/2  (e) 9\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -218, 2, -4, -3, 3 in decreasing order.\nAnswer: 3, 2, -3, -4, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 19 + 1. Suppose 7 = 3*z - m*k, k = 2*z - 3*z + 14. Solve -h + z = -3*j + 4*h, h = -j + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 19\/24 + (-2)\/3. Which is the nearest to 2\/5?  (a) 0.3  (b) 3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(2*sqrt(170)*3)\/sqrt(10) - (2 + 2*sqrt(1700) - sqrt(1700) - (-2 + sqrt(1700) + -2)**2))*3.\nAnswer: -234*sqrt(17) + 5142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 264, 533, 802, 1071?\nAnswer: 1340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -2*k + 4. Let j(g) = -g**2 + 1. Let q(s) = -b(s) + 3*j(s). Determine q(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 21025 and -83661.461?\nAnswer: 104686.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 884822426*t**2 - 2906370*t - 30 wrt t?\nAnswer: 1769644852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 1394?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-21385)\/(-658))\/(70\/24)*(-14)\/2\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 - 2*z - 120. Give s(0).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 3014 - 3*n**2 - 3014. Let g(w) = 103*w**2. Calculate f(g(l)).\nAnswer: -31827*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-8) + (-94)\/104. What is the closest to -2\/5 in 0.3, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1296 divided by 927?\nAnswer: 144\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(1\/5)*d*d**(-7\/3)*(d**(-1))**26)\/(((d**(1\/4)*d)\/d**(-2\/5))\/(d**(2\/7)*d)**(4\/15)) assuming d is positive.\nAnswer: d**(-2305\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8090.986 - 8091. Put 10, -1, i in decreasing order.\nAnswer: 10, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 140*f + 3. Let b(a) = 233*a + 5. Let d(q) = 3*b(q) - 5*k(q). Let z(p) = -p - 307. Give z(d(h)).\nAnswer: h - 307","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -23aa - -27?\nAnswer: -2383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 3*j + 44 = 7*j, -y + 4*j - 4 = 0. What is the remainder when 31 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 567 is divided by 199.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -559*t - 78*t = -165*t + 10856 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 206202, 206240, 206278, 206316?\n\"Answer: 38*l + 206164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 7:24 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -4, -4*i = 3*l + 2*l - 106. Let z = 165 - 161. What is the remainder when l is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 143, 304, 491, 710, 967, 1268?\nAnswer: 1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 + 22*f - 73. Let s be v(-25). Let p be 8\/(2 + s) + 58398. Round p to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 553.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16160 + -15500. What is the remainder when j is divided by 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a century in months?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 - 4*u**2 - 4*u - 1. Let d be p(5). Is (-82)\/d*(-4)\/(-8)*-44 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 229822934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -91 + 174. Let s = a - 81.5. Let f = s - 1.6. What is the closest to f in -1\/30, 0.4, 5?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -8*n - 14058 + 14058 - 4*n**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 3*g + 9 = -2, 29 = 2*z - 5*g. Let d(o) = -4*o**2 - 5*o**z + 4*o**2 + 2*o**2. Let j(y) be the first derivative of 9*y**2\/2 + 796. What is j(d(k))?\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -582643, -582645, -582647, -582649, -582651, -582653?\nAnswer: -582655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -25414455 (base 6) in base 8?\nAnswer: -3116343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 45036149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -13*k + 11. Let i be t(-9). Suppose 22 - 6 = 4*g, 4*q + g - i = 0. Let p = q - -77. What is the greatest common factor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.22 - 0.08. Let y = -146 - -54. Let m = y + 92.1. What is the closest to m in z, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 134 + -120. Let d(y) = -y**3 + 12*y**2 + 29*y - 12. Let f be d(z). Let n be 52\/14 - (-4)\/14. Solve 2*a - n*u = 5*a + 4, -f*u + 20 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 4*o**2 - 40*o - 58. Let p be x(12). Solve -p*g = -12*g - 78 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 7 + 81 = 0. Let o = 260 + c. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (23 - (-14 + -8 - -9)) + -23?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssksskskkksk. What is prob of sequence skss?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 12602 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6206, -6208, -6210, -6212, -6214?\nAnswer: -6216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 31*q**2 - 191*q - 3. What is b(6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1302*a**3 + 12*a**2 + 98*a - 109673042 wrt a?\nAnswer: -3906*a**2 + 24*a + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2c (base 14) to base 5\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 320a5c2 + c?\nAnswer: 320a601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*o**2 - 55*o**2 + 17*o**2.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -3*s**2 + 3*s. Let u = 123 + -118. Let m(c) = -c**2 - u*c + 17*c + 7 - 6 - 12*c**2. What is -9*g(p) + 2*m(p)?\nAnswer: p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*c - 3*c + 0*c + c - 2*c + 3*c + (-2*c + 5*c - 4*c)*(4 + 1 - 4) + 0*c - c - c + 5*c + c + 6*c)*(2 + 3 - 3) + (-c - 3*c + 3*c)*(2 + 2 - 6).\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2529\/532 + 732\/133. Let r(x) be the first derivative of 8 + 3\/2*x - x**3 + 3\/10*x**5 + 3\/4*x**2 + 1\/4*x**6 - d*x**4. Suppose r(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5*1*1 - (-33 - -187). What is m rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbuttte. Give prob of sequence tbt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -617*f - 1956*f - 743*f - 3329*f - 3054*f to the form p + w*f and give w.\nAnswer: -9699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(612)*2 - sqrt(612))*1)**2 - ((sqrt(612) + 1*sqrt(612) + sqrt(612))**2 + 0).\nAnswer: -4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3 - 1)*(6 - 135\/18). Is -1\/433 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -2*i - 4*p, -5*p - 4 = -3*i - 17. Let v = -7 + i. Let b = 5.3 + -5. What is the smallest value in -2\/5, 0.5, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2452 and 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (631 - 122*v - 1272 + 629)*(2*v + v - 2*v).\nAnswer: -122*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.4  (b) 3  (c) -258.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -3*v**3 - 148*v**2 - 49*v + 21. What is o(-49)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 165464573563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -831*l - 830*l - 72827*l**2 - 830*l + 2491*l.\nAnswer: -72827*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011121112 (base 3) to base 11.\nAnswer: -16350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -8. Let s = 2 + a. Solve s = -3*t - 4*d + 5, -3*t + 1 = 5*d - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (-19 + -31 + 11) - 10?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -7*f**3 + 12*f**2 - 9*f + 8. Let b(p) = -4*p**3 + 6*p**2 - 4*p + 4. Let q(v) = 5*b(v) - 3*o(v). Calculate q(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -4*g**2 + 14172*g + 14176 = 0?\nAnswer: -1, 3544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4.9 in 4\/5, -3, 0, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 354 - 348. Suppose -5*h + x = 3*r, r - 2*h - 8 = -3*r. Solve 3 = 3*l + 3*y - 3, 4 = 2*l - r*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 + -37. Let t be ((-3)\/4)\/(m\/16). Suppose -4*k = -2*r + 22, 5*k + 3*r = -0*r - 22. What is the second smallest value in k, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*-39.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 3*c + 2. List the prime factors of c*(-3)\/((-6)\/(-11)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of a**2\/2 + 4*a + 21. What is the first derivative of n(c) wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2845453611 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 34003 = -2*l + 4001, 2*l = i - 6002. What is i rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((110\/(-66))\/((-10)\/6))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -399*i**2 - 908*i.\nAnswer: -798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 27963919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.3+112.2\nAnswer: 111.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 3:25 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10849709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24208*b**2 + 206*b**3 + 24208*b**2.\nAnswer: 206*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -354*a + 347*a = -63 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.4  (b) 3  (c) 4  (d) 74  (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 1. Let l = -74.171 - -74. Let y = 0.671 + l. What is the biggest value in -1.5, y, 0, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 617 + -623. Is 13\/(-39) + (-6842)\/o a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -30.5427 and -185347778.\nAnswer: -185347808.5427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2*c**2 - 43*c - 69. Let u be o(-16). Calculate the greatest common factor of u and 2889.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from yyeyyeeyyeyey?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (66\/165)\/(3\/((-30)\/(-4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 5:08 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208 = 3*p - 3*y + 8*y, 0 = -5*y + 10. Let v = p + -35. Suppose -v = -4*n - 3*z, 0*n = -n - 3*z + 10. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1385 or -1335?\nAnswer: -1335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 605a6 (base 11) to base 10\nAnswer: 88567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 604, -4, -0.1, 1\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 173 + 807 = -2*c, -c = 3*f + 629. What is the closest to 0.1 in 1\/5, -0.9, f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 + 4*u - 3. Let p be h(3). Let k = -29 - -11. What are the prime factors of p*(-3)\/k*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 - 25. Let f = -7 - u. Suppose 2*b = n - 15, 4*b = -0*n - f*n. Let k(p) = p - 1. Give k(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*n - 5*n - 2*s - 486, 4*n + 4*s - 996 = 0. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1584)\/(-336)*21*8\/8.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 2 - 2)*(2 - 2 - 3)*(212 + 93 + 151).\nAnswer: 1368*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 41 - 25. Let h = -29 - -14. Let w = h + j. Which is the third biggest value?  (a) -2  (b) -0.4  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (27\/12)\/9 + (-98)\/8. Let v(d) = 9*d**4 - d**3 + 5. Let y(k) = 22*k**4 - 2*k**3 + 12. Let x(f) = u*v(f) + 5*y(f). Factor x(l).\nAnswer: 2*l**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2527459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -242423  (b) -5  (c) 0.4  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 13104, 14508, 15910, 17310, 18708?\n\"Answer: -p**2 + 1407*p + 11698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 18 = -14*j. Solve -2*f + 6 = -4*h - 6, j = -3*f + 2*h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 + 41*h**2 + 164*h - 261. Calculate y(-36).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (((-2)\/(-5))\/2)\/(39\/(-910)*-7). Put 2\/9, -0.38, -0.1, y, 0.04 in ascending order.\nAnswer: -0.38, -0.1, 0.04, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 38, 22, 0, -28, -62, -102, -148?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/11 + 40\/22. Let q be -26 - -24 - (-8 + (y - 0)). Solve -f + 0*n = 4*n, -q*f + 3*n = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 102 = 4*h, -104*h + 71 = -101*h - 4*y. Let t(q) = -q**2 + 128. Let w be t(0). Let m = w + h. Does 46 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 6 = 33. Solve 3*r + r = 2*b + 6, -3*b = k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1045725970 + 0.3?\nAnswer: 1045725970.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = f - 3*w - 2*w + 22, -w = 4*f - 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-9)*(-42)\/(-4). Suppose 1 = y, r - 5 - n = -2*y. Is 4\/r - 443\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.126*-1583.6.\nAnswer: 199.5336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*l - 5*l - 4249. Suppose 333 + 242 = 5*i - 5*d, 5*i + 3*d - l = 0. List the prime factors of i.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63441 is divided by 4876.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(1\/7)*p)\/(p\/p**(1\/2)*p))**(3\/10) assuming p is positive.\nAnswer: p**(27\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2811480 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 101193819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.2 - -0.5. Let y = -0.6 + v. Sort y, 0.3, -2 in ascending order.\nAnswer: -2, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 1. Let s be (23\/10 + 15\/(-50))*(-25)\/30*-3. Solve -38 = -3*l + s*j - 13, k = j + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1612 is divided by 691?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 13 + -14 - (8 - 2) - -15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -6669, -13338, -20007?\n\"Answer: -6669*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 5 = -5*n, -19*b + 17*b = 2. Suppose 79*z - 88*z + 18 = n. Solve -d - 2*c = 5, -d + 6*c = c - z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c + 16*c + 13 - 8 - 5 - 4.\nAnswer: 20*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-84)\/70)\/(6\/(-40)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 3:58 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 37\/3 - 12. Let k be (-2)\/(-4) + (-50)\/4. Let h be (-56)\/k - 6\/9. Put -3, a, h in decreasing order.\nAnswer: h, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 8 + 6 - 2*b)*(-1 + 4 - 1 + (-1 - 4 + 3)*(-2 + 4 - 4) + 4 - 1 - 1 + 0 + 1 + 1 - 4 + 3 - 1).\nAnswer: -8*b - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4591 = -4*h + 853. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 256 - 247. Suppose -n*q + 94 = 49. Solve -q*k - 12 = 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 - 21. Let c(v) = v**3 - 11*v**2 - 18. List the prime factors of c(q).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (6 + -9) - (-1 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 10*j - j. Suppose -15 = -4*o + 3*b - j*b, -5*o - b = -24. Solve -o*p - 1 = 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -39 - 39\/(-6)*(-4296)\/(-4654).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -48 + a**2 + 14 - 2*a + 21. Let i be l(4). What is the nearest to 2\/3 in -2, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*(4\/(-4) + 2). Calculate the least common multiple of 16 and ((-20)\/(-60))\/(h\/(-36)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vnpvvppfbpmpvfnbmv. Give prob of picking 1 n, 1 b, and 1 f.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -38083, -76411, -114739?\n\"Answer: -38328*b + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 123\/808864 and 139\/6624.\nAnswer: 7279776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 52 = 40. Let y(v) = v**3 - 9*v**2 - 7*v + 11. Let c be y(10). Suppose -p + 5*z - 17 = -c, 3*z + 16 = p. Solve 0 = -m*q + p*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 17894*d + d**3 - 17894*d.\nAnswer: d**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3803*t**2 - 346310 + 346310.\nAnswer: -3803*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3618 and 149418?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61693?\nAnswer: 17, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -3*t + 1 - 3\/4*t**4 + 1\/4*t**5 + 11\/4*t**2 - 1\/4*t**3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.34612896 + 4836216.\nAnswer: 4836215.65387104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 577848 is divided by 1670.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4373 = 5*r + 4*t, -2005 - 641 = -3*r + 5*t. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -55 - -245?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 42.2 - 42. Suppose -2*a - 2 = -0. What is the nearest to a in -0.05, w, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o + 1. Let m(i) = 48*i**3 - 2*i**2 - 5*i. Let r(z) = -m(z) - 5*p(z). Suppose -4*y - 8 = -j + 2, -3*j + 2*y = 0. Is r(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 119595629*n**6 + 417*n**2 + 25598.\nAnswer: 14351475480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -128686200 rounded to the nearest 1000000?\nAnswer: -129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 plus -9845.46646019?\nAnswer: -9845.96646019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -6*o - 45*o + 15 - 1 - 4. Let d be x(-2). Calculate the greatest common divisor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -1) + 14 - 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 22 = -3*j, s + 13 = 3*j - 4. Differentiate -5 - 6*c**j + 4*c**4 + 1 wrt c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 447988 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vyynvkyyyvpkr. Give prob of picking 1 v, 1 n, and 1 y.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(1\/3)\/((n*n**9*n)\/n)*n\/n**(1\/5)*n**3 assuming n is positive.\nAnswer: n**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of 11*t**4\/12 + t**3\/6 + 39*t**2 - 1. Is 4 a factor of h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 l when four letters picked without replacement from {f: 9, e: 1, l: 4, p: 1, o: 5}?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t**(-32)*t*t*t))**42*t**(1\/11)\/t**(-41) assuming t is positive.\nAnswer: t**(13850\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 16 = -1. Let b = h + -9. What is the remainder when (-1)\/(-3 - 272\/(-92)) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oojoosjooooooojsos. What is prob of sequence jjs?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - f - 2*f + 59, 4*r - 158 = 2*f. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 903 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, l: 3, t: 3}. Give prob of sequence lr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n**3 + 8*n**3 + 0*n**3)*(-81*n + 102*n + 105*n).\nAnswer: 504*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/4, 5, 0.3, 45\/2797, -19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u - 4*u + 6*u + (-1 - 3 + 6)*(-3*u + 2*u - u))*(0 + 0 - 4*u).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - 0\/(-3)) + 8. Solve 6*t - w = 3*t - u, u = 3*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dfv when three letters picked without replacement from fvdwg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 483643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/127*((-851)\/(-1702))\/((-1)\/(-4))\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 - 18. Let x = -4 - -18. Solve q*u + s + x = 0, -s + 2*s + 5 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 7*w**3 + 957*w**2 - 257*w + 2315. Calculate v(-137).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -13768222272734 - -0.091?\nAnswer: -13768222272733.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -74 + 445\/6. Suppose 3*a = -18, -4*j - 25 - 23 = -4*a. What is the closest to n in 5, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) -1\/6  (c) -2\/4263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 505262 to the power of 1\/2, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 1298*y + 4. Let s be (6\/15)\/((-5)\/(-25)). Let m be g(s). Round m to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/3)\/8*((-669)\/223)\/((-1)\/(-13))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6806.5 - -6806. Which is the closest to 1\/5?  (a) -3  (b) h  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17465 is divided by 5806.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 235 (base 6) to base 5.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -14*n + 0 - 2*n**2 + 2*n**3 - 1\/6*n**4. Does 4 divide v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y - 1 - 4 + 4)*(-3*y + 3*y + 4*y**2).\nAnswer: 12*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 260135.118 nanoseconds?\nAnswer: 0.000000003010823125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -4.999953. Round i to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -212331 - -20?\nAnswer: -212311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 40*x + 4287. Let k be n(-107). Solve -k = -m - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -14, 3, 2, 21 in descending order.\nAnswer: 21, 3, 2, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - -1)*((-18071400)\/(-21))\/((-6)\/(-21)). Round y to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1913549*j**4 + 366059*j wrt j.\nAnswer: 22962588*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 6 = -2*o - 3*y, -2*y - 2 = 0. Let z(f) = -o*f + 3*f + 4 + f - 3. Let a(b) = 3. Determine a(s) - 4*z(s).\nAnswer: -4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in -4, 2\/11, -14?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06*34.019.\nAnswer: 2.04114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 23*r**2 + 1. Let g be s(3). What is the highest common factor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -45*m**3 - 3*m**2 - 10*m.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -4*k + 38. Let p be o(9). Let c(l) = l**3 - l - 3. Let b be c(p). Solve -h + b*j - 14 = 0, 3*h - 7*h = 5*j - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 1219912*y + 24398232. Determine a(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/213270 and -97\/127962?\nAnswer: 639810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q + 15. Let h be k(-13). Differentiate 12 - 11 + 5*x - h - 6 with respect to x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.86, -2, -5, 3 in ascending order.\nAnswer: -5, -2, 1.86, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5829796, -5829795, -5829794, -5829793, -5829792?\n\"Answer: r - 5829797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56101 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 794.0728ml to litres.\nAnswer: 0.7940728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3281.5 + -3282. Sort f, 32, -3.8.\nAnswer: -3.8, f, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4236920*r + 2*r**2 - 2*r**4 + 4*r**4 - 230*r**3 + 4236919*r to the form q*r**2 + w*r**4 + s*r**3 + u + k*r and give s.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/((-1)\/4*21). Let q = 0.05102 + 6.94898. Let i(w) = w**2 + 5*w - 5. Let j be i(-6). Which is the closest to j?  (a) q  (b) d  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 265 and 742?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15301262 is divided by 485.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 544 + -4888\/9. Calculate the common denominator of -85\/6 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (23 - -3 - 9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 195*l**2 + 10*l**4 + 21*l - 9*l - 197*l**2 as i*l + a*l**3 + m*l**4 + z + w*l**2 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34 - 27. Suppose 52 + 53 = t*f. Suppose 0*j - 8 = -2*j. Solve -j*i - f = 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -472, -7, -26 in decreasing order.\nAnswer: -7, -26, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -12725 in decreasing order.\nAnswer: 2, -1, -12725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71962 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -525b51 (base 14) to base 5\nAnswer: -1203010044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -234919500 to the nearest one million.\nAnswer: -235000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4181 divided by 6.\nAnswer: 4181\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.1 and 96.69.\nAnswer: 96.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 9:23 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (6 - (1 + 7)) - -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ydooysdsdfqf. What is prob of picking 1 d, 1 q, and 1 s?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1155*y**5 - 2000*y**2 wrt y.\nAnswer: 69300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -689895*s**3 + 51*s - 25004 wrt s.\nAnswer: -4139370*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ieiioieiiiheoaiei. Give prob of sequence ia.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1147 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m - 9*v - 4 = -2*v, -m + 2 = 5*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of 1\/2*w**3 + 0 + 5*w + 0*w**2. Let j(l) = -5*l + 3. Let s(n) = 16*n - 10. Let b(m) = -10*j(m) - 3*s(m). What is b(h(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 2836746.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(75)*2 - -3*sqrt(75)*1) + -2)*-1)**2 + -5 + 1.\nAnswer: 20*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(t\/(t*(t\/(t**(-20)*t*t*t))\/t*t)*t*t)*t*t*t\/(t\/((t**(1\/5)*t)\/t*t)*t*t))**48)**16)**(-33) assuming t is positive.\nAnswer: t**(-2306304\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 734.\nAnswer: -1\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 0*x - 30 = -4*d, 0 = 2*d - x - 25. Suppose f - 10 = d. Let l be 22\/f + 6\/(-4). Sort l, -1, -0.3 in increasing order.\nAnswer: -1, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6043 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7456 + -7452. Sort t, 3, -1, 5, -16 in increasing order.\nAnswer: -16, -1, 3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 63 = -2*j, -4*j + 0*j - 84 = -4*m. Let o be (-1)\/((-2)\/(56 + 0)). Let z be m\/o*(-32)\/(-6). Sort -4, -5, z in ascending order.\nAnswer: -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73891529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j + j - 3*j. Suppose j = -3*n - 2*n + 520. 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: List the prime factors of 1752174107.\nAnswer: 1752174107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + (-11)\/2*-4. Let o be (-1)\/3 - v\/12. Is 20 a factor of (o - 12\/(-3)) + 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42.9 less than 0.0421432398?\nAnswer: 42.9421432398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -8*r**2 - 89*r - 1. Determine k(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 35*v**3 + 79*v**3 - v - 40*v**3 to u*v**3 + k*v**2 + w*v + y and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 31475, 63076, 94717, 126410, 158167, 190000, 221921?\n\"Answer: 2*q**3 + 8*q**2 + 31563*q - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-3)\/2)\/(-1))\/((-3)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2439*z - 85679. Determine m(35).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 7*h**2. Let r(a) = a**2 + 2. Let j(u) = 2*u**2 + 5. Let t(f) = -2*j(f) + 5*r(f). Give t(l(w)).\nAnswer: 49*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -280  (b) -2  (c) 11  (d) 2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 7\/(-8))*(23 + -21)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 2228\nAnswer: 445.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -5  (b) -10  (c) 2\/9  (d) 8  (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/11)\/m)**1\/(m**(3\/5)*m*m\/((m\/m**(-4))\/m)) assuming m is positive.\nAnswer: m**(12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, -1, -0.4, 3\/7, 15831, 3\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 333253 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14.03 + 14. Let l = t - 0.08. Let d = l - 1.89. Put -3\/2, -3\/5, d in ascending order.\nAnswer: d, -3\/2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 - 17. Suppose -3*o = 2*w - 24, 4*o = z*o - 4*w - 52. Suppose 4*x - 5*j = 139, 0 = x + 2*j - 15 - o. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(19) + sqrt(190)\/sqrt(40)) - ((sqrt(95) - ((-3*(-1*sqrt(95) + sqrt(95)) - sqrt(95)) + sqrt(95))) + sqrt(95) + sqrt(95))\/sqrt(5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from {m: 2, k: 4, h: 1, u: 8, n: 3, j: 2}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -91000000 rounded to the nearest one million?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1  (b) 226  (c) 0  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 41454 by 126.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -3*u**3 - 377631*u**2 + 13598220*u - 48350592 = 0.\nAnswer: -125913, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -555 + 252. Let c = x + 313. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(3 + 25\/(-10)). Suppose -j*m = 4*t + 5 - 33, 0 = -4*m + 5*t + 37. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 5204221529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 649*8.\nAnswer: 5192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 25*m**2 - 13661*m - 7655. Let s be a(547). Let p(z) = z + 3. Let t be p(-3). Find h, given that t + 8\/11*h**2 + 6\/11*h**s - 8\/11*h = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -228 = -56*x - 4. Solve x*v = -24*v + 84 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8050 - 8053. What is the nearest to 0.2 in -0.4, 190, a, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g - 397 = -117. Calculate the lowest common multiple of 8 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 + 17*h**2 - 12*h - 7. Let a(q) = -3*q - 31. Let d(u) = u**3 - 8*u**2 + 4*u + 6. Let c be d(7). Let w be a(c). Is o(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-8)*0*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.359 rounded to 1 dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 4*s + 1. Let t be l(-4). Let b be -2 + 0 + t\/(-3). Suppose -139 = -b*r + 8. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.0301 minus 219.17827?\nAnswer: -221.20837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -40 - -2c?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(200) + -1)**2 - (-4 + (sqrt(2) - sqrt(18)\/(sqrt(9) + sqrt(81)))).\nAnswer: -323*sqrt(2)\/4 + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -518.0000008 + 518. Round o to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 281 - 160. Let h = 126 - t. Put -0.2, -0.9, 1, h in decreasing order.\nAnswer: h, 1, -0.2, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8651 * 0.7314\nAnswer: 6327.3414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -6 - 1. Let f be (c + 6)*2\/(-4). Let r = 438\/5 - 87. Sort r, -5, f in descending order.\nAnswer: r, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 3*m**2 + 147*m + 296. Give k(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*h, 2*x + 2*x - 12 = 4*h. Suppose -m + 0*m + x = 0. What is the greatest common divisor of 40 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48 + 36 + 60 - 10.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5 - 5)*(512*i + 194*i - 93*i).\nAnswer: 613*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of -u**3\/3 + 3*u**2 + 51*u + 2272. Determine s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22120 (base 6) in base 9?\nAnswer: 4183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 7044\/54004 - (-44)\/(-161)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -50 (base 10) to base 5\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1262694691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -260\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3500\/3150*(-18)\/(-8)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1\/7, 4\/3, 6.3, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 68*(360\/108 + 69\/(-18)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*i = -32*m + 31*m + 94, -14 = 5*m + i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 649, 6060, 20845, 49624, 97017, 167644, 266125, 397080?\nAnswer: 565129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 501820776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 5*g = -10, 2*b - 4*g + 2*g - 4 = 0. Suppose 0 = -3*o + 42 - b. Suppose s - 11 - 7 = 0. Calculate the least common multiple of o and s.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 6:55 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 120243241 (base 6) in base 2?\nAnswer: 1000100111111111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -10, 1, 37, -5, -3 in decreasing order.\nAnswer: 37, 1, -3, -5, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 984446, 1969071, 2953696, 3938321, 4922946?\n\"Answer: 984625*w - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 15*m**2 + 8*m + 1. Determine q(6).\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.01 * -8.\nAnswer: 16.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 6, 2\/7, 0.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45 - 45. Let s = 376 - 379. What is the closest to -1 in v, s, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1025.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, -2434549 in decreasing order.\nAnswer: -2, -4, -2434549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 156 = z. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002205 to five decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 + 1058*r - 62408. Determine x(56).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 4*j**2 + 138*j + 826. Determine t(-27).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, q: 3, c: 2}. What is prob of sequence qn?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 97*c**4 - 7*c**5 - 12 - 95*c**4 + 22 - c**5 - 2*c**5 + c**5 + (-c**4 + 5*c**4 - 5*c**4)*(c + c - c) + c**5 + 4*c**5 - 3*c**5 + 0*c**5 + c**5 + 2*c**5.\nAnswer: -5*c**5 + 2*c**4 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -223*g - 223*g - g**2 - 224*g - 15 - 217*g + 898*g. Determine h(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*x + 2. Suppose -7*w + 225 - 645 = x. What is the common denominator of ((-8)\/w)\/((-4)\/(-321)) and -61\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - 1583845?\nAnswer: -1583841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 223876534 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 324\/84 + 2\/14. What is the first derivative of -2*t**2 - 6*t**2 + s*t**2 - 1 - t**2 wrt t?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -106*m**2. Let v(z) = -z. Give f(v(x)).\nAnswer: -106*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 2 + 5)*(-32 - 4*y**2 + 19 + 14) in the form o + n*y + m*y**2 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 112234 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 + 1)\/(-1)*36\/(-60). Factor -64*s**p - 2 - 22*s + 38*s - 18 + 140*s - 288*s**2.\nAnswer: -4*(s + 5)*(4*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 0*c - 7 = 0. Let t be (-35)\/c + (2 - 2). Suppose 2*m - k = 7*m - 38, 0 = -4*m - 5*k + 22. Solve 0 = -2*b - t*f + 10, -2*b + 0*b + 4*f = m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*a**4 - 104782*a**3 - 73*a**2 - 5 + 104782*a**3 to the form t*a**2 + l*a**4 + g + p*a + u*a**3 and give t.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -59 + 77 + -1 + 2 + 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -4*x. Let u be x + 2 + 200\/4. Calculate the highest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 5*g + 36, 0 = -2*n - 5*g + 18 - 0. Is n greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 521*i = -519*i - 17, 3*p = -5*i - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m - 542. Let z(r) = 4. Give -d(h) - 8*z(h).\nAnswer: h + 510","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence esss when four letters picked without replacement from sssessssseessssss.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1392233 is divided by 3944.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-6*(sqrt(98))**2*-5.\nAnswer: 5880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from exxvexvvxvvvvvvxxx. Give prob of picking 2 x and 1 v.\nAnswer: 63\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 3*f + 303 = 0, -4*z + 10 = -5*f - 253. Calculate the highest common divisor of z and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 82535 divided by -5\nAnswer: -16507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1022021 (base 3) to base 14.\nAnswer: 4c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 3*o, -4*m + 910 = -5*o + 913. Let a(d) = d**3 - 5*d**2 - 4*d. Let x(p) = -p**3 + 5*p**2 + 5*p. What is m*a(s) + 2*x(s)?\nAnswer: s**3 - 5*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21002 - 20984. What is the greatest common divisor of 3636 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 1281927?\nAnswer: -4\/1281927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 112232 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 976\/5 + 104\/5*j**2 + 1082\/5*j - 2\/5*j**3.\nAnswer: -2*(j - 61)*(j + 1)*(j + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*i + 1209 + 518 = 29*i - 1213 for i.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 - -382*1*(-155)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f - 4. What is b(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6556091, -6556134, -6556199, -6556298, -6556443?\nAnswer: -6556646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 153*a**4 + 9975*a + 1837*a**3 - 18799*a - 1839*a**3 wrt a?\nAnswer: 1836*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 9, j: 11}. What is prob of sequence js?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 5:55 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5136695053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -11  (b) 29  (c) 2\/17  (d) -1  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.8 - -0.9. Let n = k + 4.3. Let t = 12 - n. What is the third smallest value in 1, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3248\/54681 + -2\/1657. Let p = -27407\/54826 + -3\/27413. Sort -3, p, g, 4.\nAnswer: -3, p, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6, 16, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 379*w**4 + 95 wrt w?\nAnswer: 1516*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -88 - -89. Solve -5*d - w = 19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of -3*l**5\/20 - l**4\/6 + l**2\/2 + 3*l. Let o be q(1). Let j = o + 4. Which is the closest to j?  (a) -1  (b) -1\/6  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 32 + -26. Which is the second biggest value?  (a) r  (b) 0.4  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 271 - 812\/3. Let u = 4.01 + -0.01. What is the third biggest value in u, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 562613425 divided by 3925\nAnswer: 143341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16186*n + 2834 - 30295*n + 15275*n wrt n.\nAnswer: 1166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3 + 35*t**2 - 200*t + 220.\nAnswer: 5*(t - 2)**2*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u**2 - 7*u**2 + 0*u**2)*(-2 + 5 - 1)*(-2*u - 3 + 3).\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 131*h**3 - 98*h**2 - 4*h - 1. Let i(l) = -130*l**3 + 97*l**2 + 5*l + 1. Let w(n) = 4*i(n) + 5*t(n). Find the third derivative of w(r) wrt r.\nAnswer: 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 537269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1247, -73, -7\/5, 1 in descending order.\nAnswer: 1, -0.1247, -7\/5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 8:14 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q**(1\/2)*q)*q*q*q*q\/q**(-1\/3)*(q**(4\/3)\/q*q)\/q**(-2\/19) assuming q is positive.\nAnswer: q**(601\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -4*a + 16, -4 = -4*b + 4*a - 20. Let j(f) be the first derivative of f**3 + b*f + 2 + 1\/2*f**2. Find the second derivative of j(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 320774 is divided by 159946?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 230\/(-8) + 9\/9. Let r = -35\/2 - x. Calculate the common denominator of -95\/2 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -556, -2229, -5018, -8923, -13944, -20081?\n\"Answer: -558*r**2 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1c - -b?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.103 - -20.197. Let j = 24 - l. Let g = j - 4. Which is the biggest value?  (a) g  (b) 1\/4  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1776 is divided by 1324?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 + 6*s**2 + 4*s + 1. Let q be r(-3). Suppose q*y = 11*y. Solve y = -4*m + 3*a - 16, -2*m - a + 2*a - 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - -101000111?\nAnswer: 101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 264 and 920736.\nAnswer: 10128096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4855 a factor of 2133660835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 115*g + 386061 - 381576 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1361426, 1361428, 1361430?\nAnswer: 1361432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*g = -45 + 21 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1402 + -596. Is 31 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2.5237 or 8056?\nAnswer: 8056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-10) + 12\/(-15). Let v be (o - -3) + (-12)\/(-1). Let k = v - 12. Is 3 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -291480083.\nAnswer: 5\/291480083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104992449?\nAnswer: 3, 569, 61507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.026876 smaller than 1.1081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 e when three letters picked without replacement from {s: 3, f: 8, p: 3, e: 3, l: 2}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9 - -51?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/5, -0.3, 11\/5, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.9 in -23, -5, 0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -198 - -215. Let w(n) = n**2 - 7*n - 15. Let h(r) = -r. Let z(l) = -2*h(l) + w(l). What are the prime factors of z(j)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**2 - 660*n + 21780.\nAnswer: 5*(n - 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 43*c**3 - 3*c**2 + 14*c + 5. Let o be s(6). Suppose 9272 = 4*w + 4*b, b - o = -2*w - 2*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20 - -8. Suppose 3*g = -q + 38, 4*g - f = g + q. Let s = -46 + 134. Calculate the greatest common factor of s and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -115\/1298 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -815*f**4 - 12*f**2 - 25980*f wrt f?\nAnswer: -9780*f**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -263 times 5?\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 k when three letters picked without replacement from omomcwoomommcscmk?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137*n + 139*n + 120 = 58*w, 3*w - 2 = -2*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 3. Let w be j(-4). Suppose -w = a - 2. Solve 5 = 3*z - a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = -5*y + 10. Let x = 1234 - 1234. Suppose -y = -k - x. Solve -3*a = -2*l + 3, k*l + 5 = 3*l + 2*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123660167?\nAnswer: 23, 5376529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 >= 68368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96795112?\nAnswer: 2, 2777, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -14*r**3 + 3*r**2 + 3*r - 3. Let d(y) = -518*y**3 + 112*y**2 + 112*y - 112. Calculate -3*d(l) + 112*o(l).\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -165904.7 to the nearest 100.\nAnswer: -165900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 19152 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/10 - 1064\/190?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5555*u + 5559*u = -5*d - 1, 0 = 6*d + 30 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 766 - 766.7. Which is the closest to q?  (a) -2  (b) 0.4  (c) -1\/2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -84801, -84816, -84833, -84852, -84873, -84896?\nAnswer: -84921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (11 - (2 + 28 - 84))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(128) + 0)*-3.\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*x - 1 + 4 = -27*x - v - 4, -1 = 2*v - 7 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -3, -6, -5, 0.2, -2, 3, -10755?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1803326.411 - -1804125. Let k = 798 - l. Let v = k + -0.021. What is v rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -32 + 36. Let u(g) = -g**3 + 6*g**2 + 3*g - 10. Let j be u(z). Suppose j = 7*k - 43. Calculate the greatest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -3*s**2 + 32*s - 6. Let g(p) = p**2 - 11*p + 2. Let d(y) = -3*c(y) - 8*g(y). Let k be d(6). Does 24 divide (((-192)\/k)\/(-2))\/((-14)\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -323*b + 103*b - 105*b**2 - 5 - 11 - 12 + 8 = 0. What is b?\nAnswer: -2, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -51 - -82. Suppose 0*x + 68 = 2*r + 4*x, i = r + 3*x. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 - 20*b**2 - 37*b - 14. Let d be k(-18). Suppose 3*u - v + 2*v = -14, 0 = 3*u - 2*v - 1. Let s be (u*2\/(-6) - 2) + 3. Sort 36, s, d.\nAnswer: s, d, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 369*x - 3322 = 4796 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 386026 is divided by 38595.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24, 108, 254, 462, 732, 1064?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u. Let x(h) be the first derivative of 0*h**2 - 10 + 2\/3*h**3 - 34*h. Calculate x(o(j)).\nAnswer: 8*j**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 907, 1950, 3005, 4072, 5151, 6242?\n\"Answer: 6*b**2 + 1025*b - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of -5*l**5\/2 - 3263*l**3\/3 + 119*l - 1. What is the second derivative of t(z) wrt z?\nAnswer: -300*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27)\/(-6)*(-108)\/81?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/12 and 73\/357.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -10, -161, -578, -1393, -2738, -4745, -7546, -11273?\n\"Answer: -22*j**3 - j**2 + 6*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 4*v + 728 = 0, 3*m = -4*v + v + 576. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9572 - -9585. Solve j*i = -19 - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1166 is divided by 193.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 64585*s - 645949. What is u(10)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-58)\/(-180) + 2 - 62\/186 and -47\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5580099 - (-1)\/((-5)\/((-5)\/1)). What is p rounded to the nearest 100000?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6  (b) -2\/7  (c) 3  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/198 and -193\/22770.\nAnswer: 22770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*z + 26*z + 21*z + 22*z + 31*z - 8*z.\nAnswer: 71*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*13\/39*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w**2 - 2*w + 2*w + (0*w + 0*w - 2*w)*(0 + 2*w + 0) + (0 + 0 + w**2)*(-1 - 1 + 3).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 165207 or 164874?\nAnswer: 164874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 42 = -3*s, 0*s - 5*z + 35 = 2*s. Let m be (-2)\/(-4) - 5\/s. Which is the third biggest value?  (a) m  (b) -4  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 PM and 7:17 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -4\/7  (c) 1.2  (d) -0.1  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of -2*n**2 + 2*n + 1. Let d = -3 - -6. Let s = -86 - -84. Let a(g) = -5*g + 2. Calculate d*z(u) + s*a(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/4)\/(-3*(-1)\/(-6)). Find the common denominator of r - 490\/6*20\/(-210) and -21\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 - 8*t - 8. Let j be q(9). Suppose h + 3*w = -6, 11 - j = -5*w. Is -1 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -45*k + 27861 - 27861. Let y(v) = -v**2. What is y(z(d))?\nAnswer: -2025*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 36\/13847, -2, 5\/4?\nAnswer: 36\/13847","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 5*z = 4*a + 2, 3*a - 4*z - 14 = 0. What is the first derivative of -5 - 16*s**2 + 6*s**2 - a wrt s?\nAnswer: -20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.181625 hours in nanoseconds?\nAnswer: 22253850000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -2 + sqrt(468))*4 + (sqrt(78)*-2*-2 - sqrt(78))\/(1*sqrt(150)).\nAnswer: 8 + 123*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 14*f + 2. Let n(x) = -532*x - 77. What is 77*j(q) + 2*n(q)?\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-6) - 45874\/(-4828). Let j = 6194 - 7476160\/1207. Let m = z + j. What is the common denominator of m and 45\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1867 is divided by 619.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 5*a**3 + 2*a**2 - 2*a + 1. Let o be t(1). Let i(s) = -36 - o*s**2 + 17 + 19. Let j(d) = 7*d. What is i(j(c))?\nAnswer: -294*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -2*c**2 - 24*c - 64 = 0?\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f - 8. Let a be v(8). Suppose s - 2 = -a. Let -7 - 1 - 2*p**s + 2*p + 6*p = 0. Calculate p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*z, -5*q + 3*z + 1811 + 1467 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -67 - -337\/5. What is the closest to 2 in -1, 1\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 - 5*v**2 - 6*v + 5. Let s be n(6). Suppose -4*y = -t + s*t - 32, -5*t - y = -20. Suppose t*c - 17 - 10 = 0. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 920*s - 917*s - 56541, 3*s - 56555 = u. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (14 - 4) - -8) + 8 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -305, -599, -913, -1247, -1601, -1975, -2369?\n\"Answer: -10*u**2 - 264*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 5*u - 35, y + 2*y + 21 = -4*u. Let p = y - -10. Does 5 divide p\/(-3) + 13\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(3\/(-111)*2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 + 14*t - 70. Let s be u(-18). Suppose 2*a**2 + 3*a**3 + 1\/2*a + 1\/2*a**5 + 0 + s*a**4 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -43*c - 3*c**2 - 38*c**2 + 3 + 22*c - 2 + 19*c in the form b + v*c + z*c**2 and give z.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -15. Let y(h) = -h + 8*h**2 + 7*h - h**3 - n*h - 2*h**2 + 6. What is the tens digit of y(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-26 - ((-4)\/9 - ((-128)\/(-36) + -2)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 AM and 7:39 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 564*q + 10. Suppose 2*i - 5*i - f + 10 = 0, f = 2*i. List the prime factors of p(i).\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 4 - x**3 + 0*x - 3*x + 2*x + 4*x**2. Let f be o(4). Suppose f = 5*k - 0*k - 215. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 60*t**4 - 58*t**4 + 0*t + 2*t**3 - 5*t + t**2 as a*t + u*t**3 + f + z*t**4 + i*t**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 127968 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*g**3 + g**3 - 4*g**3)*(-14 - 8 - 7)*(2 - 1 + 0).\nAnswer: -58*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/((-150)\/(-5)))\/(8\/(-120)*-12)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -748, -2407, -6058, -12697, -23320, -38923?\nAnswer: -60502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 + 21 = s - 2*h, -3*h + 249 = 3*s. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 208 - 320. Let h = 454 + b. Calculate the highest common divisor of 38 and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 31 = 2*d - 13, 25 = 5*a - 2*d. Let f(c) = -5*c - 5 - 8*c + 2*c**2 + a*c. Let x be f(4). What is the biggest value in x, 1\/6, 4, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-4\/7)*r)\/r**(-2))**(-48)*(r**1)**(-6\/23)\/((r*r**(-1\/2)*r)\/r*r*r)**(-2) assuming r is positive.\nAnswer: r**(-18005\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2716766833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.342, 2\/9, 2\/55, 0?\nAnswer: 0.342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31.1 + 16.5. Let p = 15 + f. Suppose -2*w = -5*y + 15 - 1, 5*w + 2*y = -6. Which is the second biggest value?  (a) 1  (b) w  (c) p  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1148 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14397, -14344, -14291, -14238, -14185?\nAnswer: -14132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/27 + ((-69)\/9 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p - 3. Let y be t(-2). Let z be -3 - (1 - (-7)\/y). Suppose 4*s = z*s + 5*c + 62, -s + 56 = -2*c. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1727)\/660 + 4\/(-30))*8. Let l(n) = n**3 + 23*n**2 + 27*n - 19. Let r be l(o). Let t = -127 - r. Solve 5*p = 2*u - 15, -4*p = -t*p + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -58d95 (base 15) to base 2\nAnswer: -1000101001000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from peeelle. Give prob of sequence eel.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k - 25. Let a(p) = 3*p - 22. Let z(d) = 7*a(d) - 6*y(d). Let j(x) = x. What is 5*j(v) + z(v)?\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -946, -7069, -13192, -19315?\nAnswer: -25438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from gggqqgqgggg.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tffftft. What is prob of sequence fftt?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -25, -202, -357, -484, -577?\n\"Answer: l**3 + 5*l**2 - 199*l + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 35352 and 19944.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 7 - 8. Suppose 294 = 5*j - s, 3*j + s - 182 = 3*s. Let g = -1 + j. What is the remainder when g is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 566122808.\nAnswer: 2, 229, 309019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000631422 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-99238)\/129 + ((-6)\/9 - -1). Let c = k + 769. What is the biggest value in 2\/9, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - 2*q + 2 - 2*q)*(4 - 3 + 1).\nAnswer: -8*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 20823652*m + 7. Let l(x) = x. Give l(t(g)).\nAnswer: 20823652*g + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 3*z**2 + z + 2. Let c be h(3). Let m = c + -26. Suppose -m*v + 9*v = 21. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 86 and 2203363.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 1:10 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7142 + -7141. Sort a, -98, -10 in ascending order.\nAnswer: -98, -10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.05571 - -1.6741. Let d = y + 0.38. Round d to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 213541133 is divided by 820.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 653 + 223 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -2*y. Let d be (1 - y)\/((-2)\/(-48)). Calculate the highest common factor of 72 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1247.\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 44582300494 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2.8*-0.1036\nAnswer: 0.29008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 26860536 and -0.5?\nAnswer: -13430268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/5))**(-6))**(30\/13) assuming t is positive.\nAnswer: t**(72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o + 5. Let j be d(0). Let w = 127.8 - 164. Let l = w - -36. Which is the biggest value?  (a) l  (b) 19  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16*(8 + 13)\/(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the first derivative of -23*h**7\/7 + 23*h**3\/3 - 18. What is the third derivative of k(g) wrt g?\nAnswer: -2760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 divided by 1008?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -130300 - -10?\nAnswer: -130230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*t - 270 = 97 - 103 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -17*i - 5. Let j(w) = 288*w + 84. Let m(v) = -5*j(v) - 84*z(v). Let g(s) = -2*s. Calculate g(m(c)).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 4*a**2 + 4 - 30*a**2.\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 26328 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1870, -5010, -9384, -14992?\nAnswer: -21834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -74.119575 + 73.325. Let u = g - -0.6605892. Let z = 0.134 + u. What is z rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i + 10. Let c be h(8). Calculate the greatest common divisor of c and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from ppppppvpppppppp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 4 = -2. Suppose 0 = -l + 4*l - 80 + 62. Solve a*v + l - 14 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1104290068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.2, -13, -2, -431, -5\/3.\nAnswer: -431, -13, -2, -5\/3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 5677\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3851189*a**3*s**3 + 139889*a**3*s - 9*a*s**4 + 1146*s**2 wrt s.\nAnswer: -23107134*a**3 - 216*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -243*r + 8883 = 122*r - 4257 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*g + 91*g - 49*g + 3683*g + 1126*g in the form f*g + o and give f.\nAnswer: 4884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v + 15*v = 961 - 62. Solve 4 = 6*f - 8*f + 2*l, v = -5*f - 2*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(2\/5)*u)**(-41)\/((u\/u**(-1))\/(u\/(u*u**5\/u)))*(u**(2\/3)*u*u)**(-3\/23)*(u\/(u*u**(-1\/2)))**42 assuming u is positive.\nAnswer: u**(-9631\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 10. What is the first derivative of i - 2*v - 4 + 1 - 5 wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 911 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3401948795 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-49*t + 160*t - 64*t)*(1 - 1 - t) + (4*t + 0*t - 2*t)*(0*t - t - t))*(-1 - 5 + 4).\nAnswer: 102*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.5  (b) 3  (c) -5  (d) -1.79  (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 592 is divided by 158.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -3  (c) -1653\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - h. Suppose -2*t + 94 = -a, t + h*a - 37 = -2*a. What is t rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3\/5 + 2448*k**2\/5.\nAnswer: -4*k**2*(k - 612)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q**3 + 32*q**2 + 209*q - 460. Give z(-9).\nAnswer: -1207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from efefgeeffefgefef. Give prob of sequence ffge.\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*j + 11 - 11 + (38 - 12 + 5)*(2 - 2 + 2)*(-3 + 3 - 2*j) + (1 - 3 + 1)*(-j + 0*j - j) in the form p + d*j and give d.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 280 and 333064.\nAnswer: 11657240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 PM and 4:16 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {p: 6, n: 3, b: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29339680 is divided by 9779893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*k - 122*x + 121*x + 35, -2*k - 13 = -5*x for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 - 7*x + 7. List the prime factors of y(12).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2053803*p**4 + 17*p - 35783857?\nAnswer: -8215212*p**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -485860\/9 + 53986. Let 1\/9*r**2 + 13\/9 + g*r = 0. What is r?\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d, h + 2*d - 3*d = 1046. Let q = h + -670. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-15)\/6*2 - -70. Let j = 127\/2 - v. Which is the third smallest value?  (a) -2\/3  (b) -3  (c) j  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 16630 or 16628?\nAnswer: 16630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 3*y - 140 = 0, 2*f = y + 27 + 28. Suppose 2*m - 27 = -m - 4*z, 2*m = -5*z + f. Suppose m*b = 472 + 1123. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -77 - -149. Let x = -0.07156 + 0.07156. Which is smaller: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12c1 (base 15) to base 11\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -77934.077 and -229.9.\nAnswer: -78163.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 1442*r**3 + 1464*r**3 + 1000*r**3 + (-r + r - r)*(-2*r**2 + 0*r**2 + r**2) in the form p*r**2 + z + n*r**3 + o*r and give n.\nAnswer: 3907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -s - 3*r, -2*r - 35 = -s - 4*r. Solve 105*g = 114*g + s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 1\/6, -21, -50, -1\/20, 0.4.\nAnswer: -50, -21, -1\/20, 1\/6, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 0.6, -0.3, -363, 39?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -70 by -1.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 + 13*r**2 - 13*r + 14. Determine k(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1253 (base 7) in base 15?\nAnswer: -21e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 4*t - 8, -5*n + 3*t = 11 + 12. Let i(s) = 4*s + 6. Let f(m) = m**2 - 3*m - 7. Let g(z) = n*f(z) - 6*i(z). Let g(o) = 0. What is o?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-6)\/h)\/h*h\/((h\/(h**4\/h))\/h)*h)\/((h*h*h\/h**(-3\/5)*h)\/(h*h*h**4)))**20 assuming h is positive.\nAnswer: h**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (46\/(-69))\/((-30)\/(-9) + 4\/2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h + 2*h + 0*h)*((0 + 0 - h**2)*(-3 + 2 - 1) + (h - h - 2*h)*(-2*h + h + 3*h) - 2 + 2 + 2*h**2 + 5*h**2 + 1 + 2*h - h**2 + 0).\nAnswer: 4*h**3 + 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 57 or 173\/3?\nAnswer: 173\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1039 + -1037. Find f, given that 207\/4*f**4 - 29\/2*f**3 + 0 - v*f - 15*f**2 - 81\/4*f**5 = 0.\nAnswer: -2\/9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13 and 455?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-684)\/(-20) - (7560\/(-300))\/9\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2650*f - 2386*f - 2112 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10419811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 653791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 159  (b) 2\/3393  (c) 136  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - -2)*4\/(-8). Suppose 0 = 5*u - 6 - 4. Let k be 0*(2\/u - 2). Is k bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 0.11, 3\/7, 1\/6, -5702, 1 in increasing order.\nAnswer: -5702, -0.3, 0.11, 1\/6, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6018?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -101\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4)*(-51264)\/(-4896) + (-5)\/1.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15070334 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 + 8*i - 9. Let y = 23 - 15. Let m be f(y). What is the units digit of -3*(3 + 87\/m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/4)\/(33\/396)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4.5 - 5. Which is the smallest value?  (a) 0.2  (b) 1  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9093339 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: Find the second derivative of -13564*i**4 - 7*i**2 + 9847931*i.\nAnswer: -162768*i**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 2*n**2 + 2*n. Let z(s) = -s**3 + 3*s + 16. Let j be z(3). Let t(b) = b**3 + b**2 + b + 1. Determine j*t(m) + l(m).\nAnswer: -3*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3452453 to the nearest integer?\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 - 1)\/(-2) + 7 + -3. Solve 0 = -5*m - 4*h + 31, 3*h = o*h - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 + -3)\/(2 + 0). Let o(y) = -y**3 + 4*y**2 + 3*y - 1. Let i be o(5). Let t be (-1 + 0 - i)\/2. Solve -2*g - 4 - 2 = -f, z = t*f + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3203 and 7.\nAnswer: 22421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -31, -36, -23, 14, 81, 184?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18\/3 + -2 + -2. Suppose -i*r = 2*p + 14, -5*p - 19 = 4*r + 17. Let o = p - -26. Solve -5*g - o = -5*h - 3, 5*h + 30 = -4*g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 4*u - 9. Let b(a) = -2*a + 5. Let h(n) = -5*b(n) - 3*c(n). What is h(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -161*l - 2 + 49*l + 41*l + 44*l + 39*l + 53*l - 86*l.\nAnswer: -21*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 7*m - 5*m - 3, t + 7 = 3*m. Suppose -4*a + 6 = -m*a + 2*w, 2*w - 4 = -a. Solve 3*j = -4*g - 3, 4*j - a*j + 2 = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2156771*s - 35236 = 2156388*s for s.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -6825*d - 775. Does 5 divide s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 113, -2, 0 in descending order.\nAnswer: 113, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 7 = 3. Suppose 4*z - 38 = -j, 3*z - 2*j = 3*j + 40. Suppose -4*y + 12 = -2*l, 0 = -p*l + 5*y - 3*y + z. Let f(o) = o**2 - 2*o. What is f(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 AM and 2:58 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0048378 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 1 = -0*j + 5*j, -3 = j + 3*f. Suppose 2*h - 36 = -j*h. Suppose -3*i - 5*a + h = -42, -a = 4*i - 63. Calculate the remainder when i is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x - 3760*x**2 + 3217 - 884*x**2 + 4*x - x.\nAnswer: -4644*x**2 + x + 3217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -49 + 52. Let d(m) = m**2 - 3*m - 2. Calculate d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 3476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-1480)\/75)\/2 + (-196)\/1470\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -157 + 172. Suppose 2*s + 7 = -1, 0 = t - 3*s - h. Solve 0 = t*r - 5 - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 64955?\nAnswer: -64953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5036845.\nAnswer: 5, 11, 17, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*y + 37*y = -12006. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 498*v**3 + 23*v**2 - 503*v**3 + 56*v**2.\nAnswer: -5*v**3 + 79*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5094 - -2664161\/523. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 3) + -4 + 5 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 0*n + 37 = v, 3*n - 42 = 3*v. Calculate the remainder when 12\/(-30) - 162\/(-5) - -1 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m**3 + 17*m**2 - 50*m + 11. Let g be f(4). Let k = -16 + 61. Suppose l + 0*l + k = 0. Is g less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyipyycc. What is prob of picking 1 y, 1 c, and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*y + 42 - 88 + 47 + (12*y - 26*y + 4*y)*(-1 + 3 - 3) to k + u*y and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2*(1 - 0))\/2. Suppose -5*n = -10, -v = -2*v + n. Let f(u) = -u**v + a + 1 - 2. Let m(z) = -3*z. What is f(m(b))?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1949470901?\nAnswer: 7, 278495843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, 5, 0, 4 in ascending order.\nAnswer: -37, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 152232 (base 6) to base 7\nAnswer: 61043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 53568, 107447, 161326, 215205?\n\"Answer: 53879*p - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 89 - 167\/2. Which is smaller: i or 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 + -2 + 6\/(-3). Solve -4*u + t*u = -8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -17*p**2 - 948*p - 81. Determine b(-56).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 16.8.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, h: 2}. Give prob of picking 1 h and 1 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiv when three letters picked without replacement from {d: 7, i: 5, v: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2231 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/30 and 5978\/(-8160) - 284\/(-355).\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9477.352 days to milliseconds.\nAnswer: 818843212800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 19344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 times 13?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t + 16. Let v be h(-16). Let d = v + 2. Suppose 5*x - 2*u - 217 = 598, -2*x + 340 = d*u. What is the highest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -17, 0.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 22302012103?\nAnswer: 22302012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = 5*u - 1877 + 1859, -3*u + 39 = -30*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2434 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.8 + -1. Let u(o) = -o + 15. Let h be u(10). Which is the second smallest value?  (a) h  (b) -0.4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -536123617 divided by 4\nAnswer: -536123617\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20 + -5 - -4 - 11) + 0 + -40.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= -17\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -5, 1.7, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 + 0)*(5*h**5 - 46*h**5 + h**5) + 0 + 0 - h**5.\nAnswer: -121*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17335 is divided by 1120?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1451, 2182, 3401, 5108, 7303?\n\"Answer: 244*u**2 - u + 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/2 - (-3 + (-8)\/(-2)). Suppose -p*t - 275 = 9*t. What is the tens digit of 2 + (222\/(-5))\/(10\/t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 take away -2353602734?\nAnswer: 2353602737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -54, -2, 3, -4, 1.\nAnswer: -54, -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 2)*(3*n + 0*n - n) + (4*n - 3 + 3)*(10 - 4 + 8).\nAnswer: 58*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*y - 90 + 90 = 0. Do y and -24\/131 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + -2 + (27 - 16 - 21) + 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 889998 and 21187014.\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4584175 and 0.4.\nAnswer: 1833670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -r + 316. Suppose -564 = 2*u - 108. Let d = r + u. What is d rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 406989480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 648 and 278680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 7:47 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*i**4 - 25*i**3 + 115*i**2 + 225*i - 630 = 0. What is i?\nAnswer: -7, -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 510 times -0.6?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -167 + 258. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/37201602 and 23\/260411214.\nAnswer: 260411214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((2 + -2)\/(-3 + 5))\/(-1). Let n(z) = 11*z**2 + 7*z + 3. Let a(m) = 5*m**2 + 3*m + 2. Let f(t) = 9*a(t) - 4*n(t). Calculate f(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -298.99 + 294.99. What is the closest to 90 in -5, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 130 by 19169.\nAnswer: 130\/19169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dgzszzzczdkdc. Give prob of picking 1 c and 3 d.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 x when three letters picked without replacement from xxzxxxxxxxzxxxxxxzxx?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - 3 - (1 + (73 - 39)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 92891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Do -66481386 and -66481388 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -5. Suppose 0 = -5*a + 5*g + 40, 2*a + 5*g + 13 = -2*a. Sort a, 4, f in descending order.\nAnswer: 4, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.7 + -1. Let g = -1793 - -1777. What is the smallest value in 1\/5, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-11)\/(-6) - 2) + (-418)\/12. Let q = -33 - f. Solve 3*p = j - 4*j - 3, 8 = q*p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1034 is divided by 133?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90 and 167580?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-306)\/(-17)*3\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and 7638.\nAnswer: -7638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -28*z. Let u(c) be the third derivative of -c**6\/720 + 89*c**4\/24 - 4*c**2 - c. Let h(y) be the second derivative of u(y). Give h(j(d)).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2949960854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -883 + 883 + 4*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**3\/10 + 61*c**2\/5 + 123*c\/10 = 0. What is c?\nAnswer: -1, 0, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -144756, -144482, -144208, -143934, -143660?\n\"Answer: 274*u - 145030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 959 and 4297279?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14593009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 - d**2 + 11*d + 5. What are the prime factors of u(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-261)\/(-81) + 6\/(-27). Let a be b + -7 - -20 - 3. Let w = 0 - a. What is the common denominator of w and 91\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 4*p**2 - 412*p + 1584 = 0.\nAnswer: 4, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -306.19992744 - -306.2. What is g rounded to six decimal places?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2*n**2. Let h(o) = -16*o. Let z(k) = 8*k. Let l(q) = 6*h(q) + 13*z(q). Give l(a(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 5*p + 20 = 0, -p = 23*c - 20*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 4*q**3 + q**2 - 2*q - 2. Let p be t(-2). Which is bigger: p or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 56092*l**3*p**3 - 2*l**3*p**2 - 460*l**3 + l**2 + 4*l*p**3 + 6*l*p**2 + 12 wrt p?\nAnswer: 336552*l**3 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1924*(30\/90)\/((-4)\/(-6)). Let a = j + -686. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3066  (b) -2  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 1 = j - 0, -i - j - 3 = 0. Factor 2\/3*h**i - 4*h + 6.\nAnswer: 2*(h - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1992619\/2 or 996309?\nAnswer: 996309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1202020112 (base 3) to base 9.\nAnswer: 52215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 - 4*f**2 - 4*f - 3. Let a be z(-2). What are the prime factors of (-9)\/a - -8 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -284 and 256.\nAnswer: -72704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 250 - 588 = -37*s + 994. Let f(m) = 30*m + 12. Let i be f(11). What is the greatest common divisor of s and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzbn. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -173 = -5*r + 402. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -74 - -73.716. Let o = -0.3111 - w. What is o rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 417938 and 871049?\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 7488 = 14*u. Let f = 9141 + -5270. Suppose -5*b - u = -f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/348)\/(52\/12*(-15)\/(-195)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/15  (b) 1  (c) 28  (d) -0.3  (e) -1199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6053599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 + 3)*(-d**2 - d**2 + 0*d**2) + 8*d**2 - 5 + 11*d**2 - 2*d - 16*d**2.\nAnswer: -d**2 - 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/24 and 5\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 12*n + 4. Let s be c(2). Let r = s - -10. Suppose g + 0 = r. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.111 times -197\nAnswer: -21.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -6*k - 19. Let p(s) = 38*s + 115. Determine -39*l(r) - 6*p(r).\nAnswer: 6*r + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4 + 4\/(-20))*5. Let w be (-10)\/(-6) - 7\/x. Suppose -3 = w*z + 5. Are -4 and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12742553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/36*-6 + (6\/(-4) - -2). Put -2, x, -62, 1 in ascending order.\nAnswer: -62, -2, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 8*i**2 + 19*i + 42. Let v be d(10). Calculate the greatest common divisor of 456 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 910 is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 - 1 - 2)\/(-1). Let n be s\/(((-6)\/57)\/2). Let f = n + -55. What is f rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 43 + 245. Suppose 0 = -41*y + 50*y - d. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (44274\/2656440)\/(1\/42)\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = 2*b - 5. Suppose 0*q + 5*q = q. Solve -4*g + 0*g + 4*s - 8 = 0, q = -3*g - 4*s + b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -79  (b) 0.1  (c) -1\/4  (d) -4\/9  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2 - 34*s**2 + 14*s**2 + 16*s**2. Determine i(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/(-588)*(-3)\/((-3)\/(-3))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/21087 and 7\/2736.\nAnswer: 6410448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(7\/3)*h*h**(2\/5))\/(h*h**(-2\/7))**(-28) assuming h is positive.\nAnswer: h**(356\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8664400 to the nearest integer?\nAnswer: 2944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 3*p - 34 = -11, 0 = -a - 2*p - 7. Let u = -3 - -31\/10. What is the nearest to 0.05 in a, 2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 3*m**2 - m - 2. Let p be a(-1). Solve 3*t - 14 = -t + p*i, -5*t - i = -7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*u - 5*u + u + (-3 + 0 + 1)*(-u + 0*u - u) + (-3*u + 3*u + 2*u)*(0 - 2 + 4) - 2*u - 2 - 7*u + 4*u.\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.21 in -928, -1\/3, 0.1, -21, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 - 4697*d**2 + 8 + 3 - 4694*d**2 + 9387*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-13 - (-6 + 5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6219578942.\nAnswer: 2, 107, 29063453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*l**4*v + 2*l**4 - 8*l**3*v - l*v - 2*l + 4*v wrt l.\nAnswer: -72*l**2*v + 24*l**2 - 48*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + 148\/(-14))*((14 - 0) + -133). What is the greatest common divisor of 120 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(88) - (sqrt(88) - (sqrt(88) - sqrt(88)*3 - sqrt(88))))\/(1*sqrt(704)).\nAnswer: -3*sqrt(2)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 5*d + 36, 5*t - t - 80 = 4*d. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/(-9)*(-1272)\/(-14840)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of -5*q**8\/336 + q**7\/21 + q**6\/6 - q**5\/6 - 5*q**4\/8 + q**2 + 51. Let h(i) = 0. What is i?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 4 = 3. Suppose 58 - 61 = -x. Calculate the remainder when x is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -p + 9. Let q(h) = -8 + 21*h**3 - 7*h + 9*h**2 - 27*h**3 + 5*h**3. What is the tens digit of q(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 3 + 27. What is the tens digit of (1067\/33)\/(2\/u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 574036.\nAnswer: 2, 143509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52, 101, 162, 241, 344, 477, 646, 857?\nAnswer: 1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 11\/27  (c) 0.2  (d) 1614\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 57285\/(-1809) - 32\/6?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-seven fifths of a hour?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -53?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26152 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-12))\/(20\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 2) + -2 + 4 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 4*j**2 + j - 1. Let u = -78 + 79. Let a be f(u). Solve s = -a*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1454.1178 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1593*j + 345*j + 84919 - 22519 for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kgkggkgkggkgyy. Give prob of picking 1 y and 1 g.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 56  (b) 9\/5  (c) 1  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a - 6. Let o(k) = -44*k + 1 - 3 - 5 + 42*k. Let r(u) = 6*g(u) - 5*o(u). Let j be (-2)\/(-3) + 100\/(-15). Give r(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 + 19*y**2 - 32*y. List the prime factors of q(-20).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 - 5*f**2 - 29*f - 70. Determine r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 106 - -2052771?\nAnswer: 2053077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 346313, 346369, 346473, 346637, 346873?\nAnswer: 347193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 46*v + 21. Let k be s(-6). Suppose -x + 3*x = 78. What is the common denominator of x and (k\/4)\/(-3) - (8 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1606193241?\nAnswer: 3, 673, 795539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38\/330 - ((-35)\/210)\/((-44)\/48).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-624)\/8 - (532 - 532)*1\/(-1).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18167*z + 9415*z + 8736*z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 x when three letters picked without replacement from clbxclnlnlnllx.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.3 - 0.2. Let l = u - -1. Suppose -3*x = 3*f + 15, 0*x = -3*x + 5*f + 17. What is the second biggest value in x, -6\/5, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 20*y - 20. What is the units digit of j(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*p + 1383 = -502. Let m(u) = 22*u. Calculate the remainder when p is divided by m(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 PM and 5:57 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 3*q - 3. Let v be x(4). Let n = 13 - v. Let m(f) = 8*f - n*f + f. Let s(w) = 3*w**2. Calculate m(s(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cswc when four letters picked without replacement from wcss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11729904099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34128, 35230, 36332, 37434, 38536?\nAnswer: 39638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - 6. Does l = 3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.7?  (a) -0.03  (b) 2\/9  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/(-40))\/(9\/(-45)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -284824, -284690, -284474, -284182, -283820, -283394?\nAnswer: -282910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 AM and 2:49 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5410.312ml in litres?\nAnswer: 5.410312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(2 + 1 - 4). Put x, 2, -5 in descending order.\nAnswer: 2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 6033 = -3*o - 2*o, 2*h + 12066 = -4*o. Let u = h - -1104035\/183. Let f = u - -247\/2928. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 314534 (base 8) to base 10\nAnswer: 104796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 275735 divided by -51.\nAnswer: -275735\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, a: 6}. What is prob of sequence ca?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 PM and 1:21 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83*s + 31*s + 16*s + 4408 - 4408 + 43*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - 8*q**2 + 9*q + 3. Let j be z(7). Solve 0 = -o - 4*f - j, 3*f = -o + 5*f + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -19*l + 13*l. Suppose l*w + 177 = 177. Solve 0 = -w*r + r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50457 (base 8) to base 10.\nAnswer: 20783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-46)\/(-4) + (1 - (-60)\/(-24))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (25\/(-10) - -1)*14. Let u(y) = y**3 + 6*y**2 + y + 3. Let a be u(-6). What are the prime factors of 4\/((-69)\/b + a)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2328.1 + -2355. Put h, 0.5, -1\/3, -1\/5, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.5, -1\/5, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*m**4 - 19*m**3 - 11943*m**2 + 47560431*m.\nAnswer: 132*m**2 - 114*m - 23886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1498 - -2374. What are the prime factors of p?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(4\/((-48)\/(-9))). Let w be ((-9)\/(-3))\/(-3) - z. Let j(b) = 2*b**3 - 2*b**3 - w + 4*b**2 - 2*b - b**3. Give j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -941588.55 to the nearest one hundred.\nAnswer: -941600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - u**3 + 2*u**4 + 415*u - 4*u**4 - 410*u as o + k*u**3 + h*u**2 + n*u + w*u**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.904995541 + -0.905. What is o rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 3*q + 8 = 0, r - 3 = -2*r + 3*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (90\/(-45))\/((-17)\/(561\/2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -2*z**3\/7 + 11868*z**2 - 2988792*z\/7 + 26893296\/7 = 0.\nAnswer: 18, 41502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*z + 2*z + 6 - 5*z)*(256 - 256 - 76*z**3) to the form o + v*z**4 + i*z**2 + n*z**3 + w*z and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-9) + (-2)\/(-9). Suppose f = -4*q - 5*w + 1, 0*q + 3*w = 3*q - 21. Suppose -q*o + 33 = -3. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 minus -13401?\nAnswer: 13401.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -7*z - 150. Suppose 2*b - g - 108 = 0, -2*b + g + 3*g + 120 = 0. Calculate the remainder when b is divided by k(-24).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.559 + -3.559. Let r = -6.4 + 6. Which is the second biggest value?  (a) 1\/8  (b) x  (c) r  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4575 - 22533\/5. Is f >= 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 AM and 5:04 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68 is divided by 49?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**2\/4 - 21*t\/4 - 6.\nAnswer: 3*(t - 8)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2\/5 - 16393*y\/5 + 1767186.\nAnswer: (y - 15835)*(y - 558)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*g - 123*g - 64*g)*(2 - 5 + 2 + (3 - 5 + 3)*(-1 - 1 + 1)) to y*g + n and give y.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 262210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 12*w = -20. Solve w*h - h + 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184*s = 178*s + 66 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*q + 0 = 139*w - 137*w - 26*q - 14, -3*w - 4*q = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 43982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -4  (b) 9\/5  (c) 0.6  (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/7?  (a) 2  (b) -4  (c) -124  (d) 3  (e) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 98.3 - 98. Which is the third smallest value?  (a) -3\/5  (b) 3  (c) n  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 166192 and 10434?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38482*f - 86270*f - 127410*f - 40569*f.\nAnswer: -215767*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -287 + 167 + 112 + 54*n**2 in the form s*n**2 + g + z*n and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 743903957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 2*m - 14 = 0, 5*h + 3*m + 25 = -2*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 divided by -363024?\nAnswer: -203\/121008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -4b9372 (base 12) in base 10?\nAnswer: -1239494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(275)\/(sqrt(15)\/sqrt(3)))\/sqrt(5)*1.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -2*k**3 + 10*k**2. Let a(y) be the third derivative of -y**5\/60 + 9*y**2 + 1. Calculate -30*a(x) - 3*q(x).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, v: 1, n: 1, l: 1, b: 1, f: 1}. What is prob of picking 2 s and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 289, 1143, 2585, 4597, 7161?\nAnswer: 10259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 50, 4, 11, -4 in descending order.\nAnswer: 50, 11, 8, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/30 and -161\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/30)\/(((-4)\/10)\/1). Let f(a) be the second derivative of -o*a**2 + 0*a**3 + 0 + 0*a**4 - 1\/10*a**5 + a. Find the first derivative of f(x) wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = a, -m = -a - 2*a - 22. Let z be (-4*6\/a)\/3. Solve 4*t + z = -5*x - 17, 2*x - 4 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -124680000 to the nearest one million.\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -41, -198, -681, -1694, -3441, -6126?\n\"Answer: -34*d**3 + 41*d**2 - 42*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d - 15 = -15*d. Let c(l) = l**3 + 15. Let j be c(0). Let t = j + -11. Solve n - r = 1, 0*n + 24 = d*n + t*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42 - 37.4. Let s = l - -0.4. Sort 0.3, s, 2\/15 in decreasing order.\nAnswer: s, 0.3, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 514.9 - 245. Let v = g - 270. Let t = 0.12 - -4.88. Which is the smallest value?  (a) 9  (b) t  (c) v  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w + 13. Let r = 8 - -12. Let x = -31 + r. Calculate the smallest common multiple of i(x) and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -591, 34, -31\/7, 5 in ascending order.\nAnswer: -591, -31\/7, 4, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -98*p**4 + 113*p**4 + p - 1 + 0 - 2*p**2 to k*p**2 + m*p**3 + d*p**4 + s*p + h and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**5\/3 + 50*k**4\/3 - 96*k**3 + 688*k**2\/3 - 736*k\/3 + 96 = 0 for k.\nAnswer: 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (4 - (-1 - 5 - -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(2\/3))**22)**(2\/13) assuming m is positive.\nAnswer: m**(88\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -202 - -729. Let n = o - 503. What is the second biggest value in n, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - 491?\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-14)\/(-2) - (-17 + 21 - 101). What is the greatest common factor of k and 403?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 11:31 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-8))**22 assuming g is positive.\nAnswer: g**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (597\/(-9) - -7)\/((-2)\/3). Let n = -317 - -494. Let c = n - t. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 116 = -4*l, 5*l + 14 = -t - 7. What are the prime factors of t*((-70)\/5 + 1)?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 + 6*r**2 + 3*r + 8. Let x be ((-1)\/2)\/(((-5)\/12)\/(-5)). Determine n(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*h - 1. Let w be (-4)\/h*1\/10. Let k = 13 - 8. What is the second biggest value in k, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.1 - -2.2. Let x = b - 0.1. Let c = 171\/2 + -84. What is the third smallest value in -2\/11, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 3*s - 15 = 0, -3*s + 1 = 8*l - 7*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 4*i - 8. Determine y(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -3*s + 2 - 4, -5*p + 5*s = 5. Sort 2, p, 3 in decreasing order.\nAnswer: 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - 4. Let g be (-3)\/(-6)*(q - -13). Solve s + g = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6 and 1425?\nAnswer: -8550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*((q\/q**(-15)*q)\/q)\/q)\/(q\/(q\/q**(6\/13))))**(10\/11) assuming q is positive.\nAnswer: q**(2020\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3cc - 6?\nAnswer: -3d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 48\/11 and 77\/104.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 149120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r\/(r**(-2\/17)\/r))\/r*r)\/r*r*r**(-2))\/(r**6*r**2)*(r**(-1\/15)\/r**(-2\/7))\/(r\/(r*r**(1\/2)\/r*r))**(-4\/17) assuming r is positive.\nAnswer: r**(-712\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 773*l**2 - 5*l - 3. Let k be r(-3). Suppose -5*c = 2606 + k. Let d = 2700 + c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1391 - 1388. Solve 10*p = v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 3*l**2 + 2*l + 9. Let i be b(-3). Let t(r) be the first derivative of 4 + 7\/2*r**2 - 1\/4*r**4 - 4\/3*r**i + 6*r. Calculate t(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {g: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4149040 and 592720.\nAnswer: 4149040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-23))\/(y\/(y\/y**(-5\/2)))*(y**(-11))**32 assuming y is positive.\nAnswer: y**(-651\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 + 7*f**2 + 60*f - 411. Let r be g(7). Suppose 74 = y - 7. Calculate the highest common divisor of y and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 + 7\/(-3) + (-1800)\/(-54). Sort -4, b, 0, 14 in ascending order.\nAnswer: -4, 0, 14, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66 divided by -66.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.1717932 and -19893555?\nAnswer: 19893555.1717932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34302?\nAnswer: 2, 3, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -19.932 and -41149871?\nAnswer: 41149851.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 895898*c*r**3 + 3*c*r - 2*c - 9*r**4 - 1019523655 wrt r?\nAnswer: 2687694*c*r**2 + 3*c - 36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.818456 micrograms to tonnes.\nAnswer: 0.000000000001818456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 192  (c) -0.5  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2449 - -71033\/29. Is -1 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8568 - -8586. What is the highest common divisor of 1425 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**3 - 6*u**2 - 6*u - 3. Let s(x) be the first derivative of x**3\/3 + 7*x**2\/2 - 5*x - 3. Let z be s(-7). Let f be y(z). Solve 3 = f*j + 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*q + 2*q + 4*q + (2*q + 5*q + 4*q)*(-1 + 1 - 1) to the form g + t*q and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of h**3\/33 - 2955*h**2\/11 + 8732025*h\/11 + 4914. Solve u(j) = 0.\nAnswer: 2955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, -127, -12, -63 in ascending order.\nAnswer: -127, -63, -12, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine fifths of a milligram in micrograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 259413396.\nAnswer: 2, 3, 11, 41, 47933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1*sqrt(3))**2 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g + 151 = 74 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 54753321 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 355716 divided by -4.\nAnswer: -88929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 520 + -512. Let x = 2 - 0. List the prime factors of (x\/g - (-9636)\/48) + 4.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4.73 * -26908\nAnswer: 127274.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -42229053.6 rounded to the nearest one hundred thousand?\nAnswer: -42200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1256 - 6269\/5. What is the nearest to v in -8, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - -4. Suppose -4*m - t = -15 - 8, -3*m + t = -26. Let w = p - m. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of -k**8\/336 + 4*k**7\/105 - k**6\/6 + 4*k**5\/15 + 15*k**2 + 117*k. Factor l(d).\nAnswer: -d**2*(d - 4)*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -62*x**5 + 3*x**3 + 3*x**2 - 20 wrt x?\nAnswer: -3720*x**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -12719366 and 1.\nAnswer: -12719365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2880190964.\nAnswer: 2, 7, 59, 1743457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000025283 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 13 + (-6)\/8*(-21 + 17). Solve -5 - p = -7*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 748 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 349279*s**3 - 290705*s**2 wrt s?\nAnswer: 2095674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 101000 - -2221320101?\nAnswer: 2222021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (222\/555)\/((-24)\/(-45))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(0 + (sqrt(320) + 1)*-4 + -5 + 1*sqrt(320) + (sqrt(320) + sqrt(320)*1 + -4)*2))**2*-4.\nAnswer: -38976 + 17408*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2950, 2952, 2954, 2956, 2958, 2960?\n\"Answer: 2*n + 2948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 156848 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-2)\/(x\/x**(-2\/13)*x) assuming x is positive.\nAnswer: x**(-54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 4, 29 = 3*b - 5*a + 10. Let p = -6 - -41. What is the remainder when p is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fxfxbyyfjy. Give prob of sequence xf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21010 and 50?\nAnswer: 105050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 83.42 - 96.4. Let m = 1.98 + w. Is m at most as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 AM and 11:14 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4462252, 17848981, 40160194, 71395891, 111556072?\n\"Answer: 4462242*a**2 + 3*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-28)\/((20\/22)\/(-5)). Find the second derivative of -154 + h - 4*a**2 + 3*a wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 2*l + 17 = l, 0 = 3*f + 3*l + 18. Let u = -15 - f. Let b be u\/(1 + -3) - -4. Does b = 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2152, -4469, -6812, -9193, -11624, -14117, -16684, -19337?\n\"Answer: -2*s**3 - s**2 - 2300*s + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1137 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of -l**4\/4 - 2*l**3\/3 + 25. Suppose g + 8 - 5 = 0. Calculate k(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/4 of a kilogram in grams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31224057 to the nearest integer?\nAnswer: 5588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3 - -48)\/(-3))\/(-1). What is the lowest common multiple of 18 and ((-770)\/28)\/(i\/(-6))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -3  (b) 1  (c) -0.6  (d) 2\/16177  (e) 4  (f) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86580.21 millennia to decades.\nAnswer: 8658021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -f**4 + 2*f + 63 - 287 - 697 - 252 + 5*f**3 as s*f**2 + v*f**3 + u*f + b + k*f**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (50*h - 5*h**2 - 50*h + (2*h + 0 + 0)*(-3 + 2*h + 3))*(-3 + 2 - 2) in the form z*h + k*h**2 + c and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 246760.\nAnswer: 2, 5, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.4 from 2199.\nAnswer: 2199.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of x**5\/20 - 2*x**3\/3 - 3*x**2 + 20*x. Let g be o(5). Round g to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than 0.0093?\nAnswer: -0.0907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/27 and 98\/165.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.04067216942 to three dps.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0011510945 rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1003 + -1623. Let z = -440 - n. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1297, 0, 5.\nAnswer: 0, 5, 1297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = -8, 4*z + 3*r + 4 + 14 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 133.174571?\nAnswer: 665.872855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.066439612*0.2\nAnswer: 0.0132879224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/4 and 25\/577.\nAnswer: 2308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -117\/812 and -35\/32.\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 9*v - 588. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/((-60)\/(-25))*3803912\/(-140) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8\/123, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320*l + 466*l + 0 + 0 - 1117*l + 329*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 3\/7  (c) -0.4  (d) 2\/31  (e) 449  (f) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of 2*n**2 - 5\/3*n**3 + 0 - 1\/12*n**4 - n. Let c be h(-12). What is c rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/4*1635\/(-4905)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.1 and 844755.\nAnswer: 844755.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1072*b**5 - 1058*b wrt b?\nAnswer: 21440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/11 - 2512*d\/11 - 20224\/11.\nAnswer: 2*(d - 1264)*(d + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(242) + 2) + (sqrt(242)*-2 + sqrt(242))*5 + 5 + 3*sqrt(242)*1 + sqrt(242) + 5 + -1)**2.\nAnswer: -308*sqrt(2) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 5686844.497 to the nearest ten thousand.\nAnswer: 5690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 13 + 45)*(g - 5*g - 3*g).\nAnswer: -294*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*t + t. Suppose -5*x = -k - 21, 4*k + t = 2*k. Solve -7*a + 3*a = 5*u - 40, -31 = -x*u - 3*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22695274*d + 17721383 wrt d.\nAnswer: 22695274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + -28971035571?\nAnswer: -28971035554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -27 - -23. Let u = r - -52. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 159 - (89 - -13) - (22 + 1 + -4).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 - 4*q - 1. Let r be k(-3). Let m = 6 - 4. Suppose -9 = 2*u - 13. Solve u*w - 1 = -0*w + t, -r*t - m = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1001000100111100011 (base 2) to base 7\nAnswer: 2346116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12114 - -4323234?\nAnswer: 4311120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3663866751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*h = 3*x + 2085, -x + 25 = h - 2*x for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35 + 10*y + 8*y - 15 - 39 + 87.\nAnswer: 18*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 85739.21 millimeters?\nAnswer: 85739210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 72 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9  (b) 18  (c) 0.009  (d) -2  (e) 4  (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1778*k**4 + 403*k**2?\nAnswer: 42672*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 177*r**4 - 9*r**3 - 208*r**2. Let g(l) = 44*l**4 - 2*l**3 - 52*l**2. Let p(i) = -2*d(i) + 9*g(i). Find the third derivative of p(j) wrt j.\nAnswer: 1008*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 609119 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 10681*l + 1730*l - 6066*l + 4828*l + 8338*l as z + f*l and give f.\nAnswer: 19511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5520\/6*(0 + -1 - (-85)\/25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 + 9. Let f be (1\/(-2))\/((-3)\/o). Let n be -2 - (f\/(-1) + 0). Sort n, 5, -5.\nAnswer: -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1114 * -4.\nAnswer: 4456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -144 - -150. Suppose -i*z = 12*z - 756. Calculate the smallest common multiple of 70 and z.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2918487045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 - 1)*(-3 - 18 - 9)*(-i - i - i)*(-4 + 3 - i + 2).\nAnswer: 360*i**2 - 360*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**3 - 4*k**2 - k + 2. Let p be t(-2). Suppose 0 = 4*c + 5*b - 36, -6*c = -2*c + 4*b - 40. Suppose -c = 3*x - 14. Solve 0 = -x*n + p*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 16293, 32584, 48875, 65166?\n\"Answer: 16291*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -13 + 12 + -4 - (12 + 0)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -77377854323 and 0.29?\nAnswer: 77377854323.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 - (0 - (-26)\/(-3)). Let h = 7 - q. Let y be (-104)\/(-28) + 0 - 4. Which is the nearest to -2\/5?  (a) 6\/11  (b) y  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 2*l - 2*g = 15, 20 = -l + 5*g. Suppose -l*s + 4*s = -1. Let i(o) = -2*o**3 - o**2 + o - 1. Give i(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 48461 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -1969*h**2 + 20*h. Let n(c) = 2*c. Give n(s(p)).\nAnswer: -3938*p**2 + 40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 98 and 174?\nAnswer: 8526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -2*n + 393, 5*g + 2 = 17. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 14*i**3 - i**2. Give n(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.6 and 0.0796?\nAnswer: 0.5204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -2. What is the second derivative of -18*v**5 + 0*v**w + 4*v - 12*v + 8*v**5 wrt v?\nAnswer: -200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/24364209 and -13\/60.\nAnswer: 487284180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pwsspswwpss. What is prob of sequence ps?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -94*w + 275. Determine s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1383802 divided by 2.\nAnswer: -691901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2*x + 3*x + 21 = 0, j - 18 = 5*x. Solve -13 = 2*h - h + j*q, 0 = 3*h + 3*q + 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10*a*k*l**3 + 129*a*l**3 + 2*k*l**3 - k*l - 315*l**3 - 2 wrt a?\nAnswer: -10*k*l**3 + 129*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 5*c = -f + 130, 5*f - 181 = 3*c. Let a be 1\/3 - f\/(-21). Does 8 divide (0 - 102)*(a + 30\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-30)\/4*(-8)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 396 + 4*z**3 + 22*z**2 - 28*z - 2*z**3 + 390 - 834 = 0.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*i + 71 = -3*m, 3*i + 121 = 2*m + 129 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 222 + -207. Let p = 236 - j. What are the prime factors of p?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*a**2 - 2*a - 7065 + 7065.\nAnswer: -4*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3124235 divided by 5.\nAnswer: -624847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/63*1*-1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 + 13*y**2 - 14*y + 24. Let d be m(12). Which is greater: 5\/9 or d?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - 12*s**2 - 10*s - 48. Let f = 110 + -122. Let a be k(f). Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-3) - 1)\/(-11 + (-49)\/(-7))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.3 + 8. Let u = g + -0.7. What is the smallest value in 4, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2979, 2\/29, 0.4, 1\/18 in increasing order.\nAnswer: -2979, 1\/18, 2\/29, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 27 = c + 60, -42 = -5*w + 4*c. Let l be 8\/6*(-6)\/(-4). Let d be 7 + -6 - 0\/l. Put -3, d, w, 4 in increasing order.\nAnswer: -3, d, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l + 1. Suppose -2*h - 2 = b + 1, 5*h - 30 = 5*b. Let k(d) = 4*d - 4. Suppose 11*m = 9*m + 2. Suppose a - m = 1. Determine a*u(r) + h*k(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 5 + 2)*(14*x**3 + 188 - 188) as q + w*x**3 + r*x**2 + c*x and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 401 = -452 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*h - 26 = 44 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -196927.\nAnswer: 4\/196927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(567) + -6*(sqrt(567) + 1 + sqrt(567)))**2 - sqrt(567).\nAnswer: 1179*sqrt(7) + 68643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = -20, 5*q + 4*k - 1 = -22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n**3\/2 + 21159*n**2 - 151078995*n\/2 + 6484642692 = 0. What is n?\nAnswer: 88, 7009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*s - 31131 = 3*z - 30990, 2*s - 4*z = -46 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2327779488 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.35 <= 14.24425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -173?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 638 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 4 + 4)*(-16*m - 76*m - 285*m - 34*m) to the form v + z*m and give z.\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*l**2 + l**4 + 54*l**3 + 0*l - l - 17*l**3 - 5*l**2 - 28*l**3 to the form q*l**3 + b*l + z + x*l**4 + m*l**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 155 = -3*w + 116, -15*w + 27 = -18*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 394459583 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -4*o**2. Let q(x) = 3*x - 840. Calculate q(i(u)).\nAnswer: -12*u**2 - 840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142152 is divided by 71058?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 422294799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1677, 4376, 10479, 16656, 22931, 29328, 35871?\nAnswer: 42584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 AM and 12:08 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2\/5  (b) 2  (c) 0.025  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -391155.95 to the nearest 1000.\nAnswer: -391000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 360 and 1320?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 25 = 5*h. Suppose 592*n = 595*n - 36. What is the smallest common multiple of n and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004636 rounded to four decimal places?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*b + 0*b - 2*b)*(1031 - 1624 + 1834) to n + i*b and give i.\nAnswer: -4964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(77)*1 + (sqrt(77) + (2*sqrt(77) + sqrt(77) - sqrt(77))*1 - sqrt(77)))\/(-2*(sqrt(175) - (sqrt(175)*-2 - sqrt(175)))).\nAnswer: sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1591)\/(-5) - (-8)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -512.912 + -83119\nAnswer: -83631.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bttcdtktkdttptppt. Give prob of sequence pb.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -57*(-10)\/525 + 12\/(-15)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - 2164?\nAnswer: -2163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 + 7. Let c(m) = 25*m + 1555. Let n be c(-62). Factor 0 - 4\/5*u**n + 0*u**3 + 8\/5*u**4 - 8\/5*u**j + 4\/5*u.\nAnswer: -4*u*(u - 1)**3*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6 or 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1687, 3239, 4789, 6337?\n\"Answer: -u**2 + 1555*u + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the second derivative of 4*h - 1\/12*h**4 + 0*h**5 + 0*h**2 + 0 - 1\/30*h**6 + 0*h**3. Find the third derivative of y(j) wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8512366 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25280030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-3*(-5 + sqrt(252)))**2 + 0.\nAnswer: -14958 + 3240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -3, -65*w + 60*w = 3*v - 13. Sort -9, -3, v, -1, 0.\nAnswer: -9, -3, -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 134 + 424. Is 14 a factor of 2\/5 - b\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41\/((-8405)\/(-41))*((-5885)\/11)\/1.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102890626?\nAnswer: 2, 541, 95093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13372 is divided by 461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 + -14. Suppose -t + 5*b = -26, t - 5*t + 3*b + 19 = a. Solve 4*r + 22 = -3*z - t, z - 1 = 3*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18702.936 rounded to the nearest 100?\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, -299, 5, 4, -6, 3 in ascending order.\nAnswer: -299, -6, 0, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3392029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2963898*w + 1900678 wrt w?\nAnswer: 2963898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 125511749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 988 and -1.\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24 - 14. Let h be m\/4 - (-2)\/(-4). Suppose s**2 + 4*s - 3*s**3 - 4*s**h - s**2 = 0. Calculate s.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2026734 is divided by 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of -21*p - 7\/3*p**3 + 0*p**2 + 0. Let y(u) = -u**2. Determine y(n(q)).\nAnswer: -196*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/4452 and 45\/2968.\nAnswer: 8904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddddptddddddgpd. What is prob of sequence td?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(150)\/(sqrt(12)\/sqrt(2)))\/(sqrt(5) + (sqrt(5) - (sqrt(5) - -6*sqrt(20))) - (sqrt(5)*1 + sqrt(5) - sqrt(5))*-2).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-90)\/(-15) + -1 + 8240. Let y = p - 36. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/10 + 46\/10. Suppose o*r = 4*r. Let b = 3\/11 + 18\/55. Is r at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1038.706 years?\nAnswer: 1.038706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2279108354?\nAnswer: 2, 829, 1374613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iq when two letters picked without replacement from hdigifqqh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3)*3 - sqrt(3))*2 + -3 + sqrt(3) + 2 - (2 + sqrt(9)\/sqrt(3) + (sqrt(75)*1 - sqrt(3))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(315)\/(sqrt(5)*1))\/(sqrt(81) - (sqrt(81) - sqrt(81)*-1)) - (4 + (sqrt(7) - -1*(sqrt(7) + sqrt(112))))*4)**2*4.\nAnswer: 9344*sqrt(7)\/3 + 158428\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 139 + -137. Let j(g) = 0*g - 7 - 650*g**2 + 651*g**c - g - 5*g. Suppose -u = -3*b - 2*b - 17, -5*u - b + 33 = 0. Give j(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u**3 - 386*u**2 - 18430*u + 18818 = 0. Calculate u.\nAnswer: -97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 divided by -14?\nAnswer: 19\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -15. Let l = -16 - -17.3. Let n = l + -0.3. What is the nearest to n in a, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, s: 3, l: 1, k: 3, g: 2, p: 2}. Give prob of picking 2 p and 1 a.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lokaaoa. What is prob of picking 1 a and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = i + 11, -4*k + 2 = -2*i - 8. Let m be (i\/(1\/3))\/(-1). Find the common denominator of 70\/8 - (m - -1) and 79\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b**2 - 8*b + 8*b + (4*b - 6*b + b)*(1 - 1 - 2*b))*(3 - 2 - 2)*(1 - 3 + 1)*(39 - 39 + 4*b)*(3 + 4 - 4).\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g**2. Suppose 14*u - 5*u = 9. Let b be 41*u + (26 - 32). Let h(i) = -25*i**2. Determine b*q(k) - 3*h(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1453 = 2*c + 3*c + 2*k, 578 = -2*c - 4*k. Let d = c + 411. Suppose 5*m - d = 600. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 PM and 5:52 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 725438196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 136  (b) 0  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90)\/(sqrt(5) + sqrt(20) + sqrt(5)) - sqrt(18))\/sqrt(9))**2*-1.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 362699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*4\/(3\/63*12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 492.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fsnmemiei. Give prob of picking 1 s, 1 m, 1 f, and 1 i.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**2 - 3*r - 5*r**2 + r**2)*(79*r**2 - 25 + 25).\nAnswer: -158*r**4 - 237*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + h = 19, 0 = 4*u - 3*h - 5 - 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6.6 - -7.92. Round w to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t**2 - 2. Suppose -2*b = -8, 3*b - 2*b = -2*s + 18. List the prime factors of g(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2026524 and 324.\nAnswer: 54716148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*z**5 - 186*z**4 + 4293*z**3 - 25704*z**2 + 43740*z = 0. Calculate z.\nAnswer: -81, 0, 3, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 85 + -81. Suppose -4*q + q = 24. Let s = o - q. What is the highest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -9, 1, 3\/46?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -116*v + 3. Let s be d(2). Let t = s - -579. Does 46 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000076192067 rounded to six decimal places?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 2*m + 3, -5*j = -0*m + 5*m + 15. Sort 2, m, -4 in decreasing order.\nAnswer: 2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 8 + -3 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*o + 9*o + 2*o + 2*o**2 + 8*o + 0*o**3 + o**3 + 1 + 2*o**4 as y*o**2 + f*o + k*o**3 + d + b*o**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8 - 6 - 24) + 149. Solve z*t - 52*t = 375 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 3) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 61282 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (((-416)\/216)\/13)\/(2\/3). Which is the nearest to -2?  (a) t  (b) 0.38  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.64323 and 0.2?\nAnswer: -0.528646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, 3\/38, 0.5, 2\/9 in descending order.\nAnswer: 0.5, 2\/9, 3\/38, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*r + r**2 + 0*r)*(72 - 139 - 147 + 5) as y*r + a*r**2 + c and give a.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.94 - 0.06. Let y(j) = j**2 + 6*j - 3. Let q be y(-7). Let u(a) = -a**3 + 5*a**2 - 4*a - 4. Let f be u(q). What is the third biggest value in r, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/7  (b) -7  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in -1594\/625, 2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*v + 13 + 2*v**3 - v - 2*v - 15 to the form s + a*v**3 + u*v + y*v**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 30 times 797485\nAnswer: 23924550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 4*y - 42. Let c be v(0). Find the common denominator of ((-34)\/c)\/(3\/(-18)) and 27\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20 + 17.05. Let o = g - -1.15. Which is the biggest value?  (a) o  (b) 2  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 396*q + 20012 - 18428 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2145068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 4597.532813 to 1 dp.\nAnswer: 4597.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 2\/23, -4, 21?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 67630545 and 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -85.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 282 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 4*o = -17, 134 - 151 = -4*t + o. Solve -t*y - w - 14 - 3 = 0, 2*w + 14 = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10452624 is divided by 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 304997006 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: Expand -5*b + 5*b - 5*b**4 + (0*b**2 + 3*b**2 - b**2)*(b**2 - 2 + 2) + (b**3 - b**3 + b**4)*(266 + 525 + 413).\nAnswer: 1201*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 7218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - b + 42 = 0, 36 = 3*j - 4*b + b. Solve 4*i = -j - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4374*g + 6264*g + 4374*g - 19383*g + 4375*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggglll. What is prob of sequence ggl?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**5\/15 - 279244*b**4\/5 + 7797665304*b**3 - 1814477726238804*b**2\/5 - 5443784081194734*b\/5.\nAnswer: 2*b*(b - 139623)**3*(b + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*m**3 + 18*m**3 - 13*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w + 19. Let c(t) = t**2 + 20*t + 102. Let y be c(-12). Give g(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 3*l + 44, -4*x + 0*x - 4*l + 88 = 0. Calculate the smallest common multiple of 8 and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -629 + 899. Let l = -269.999891 + n. What is l rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -1\/12471 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 269 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5464 - 5446. Let s(v) be the third derivative of -o*v**2 + 1\/120*v**5 + 11\/12*v**3 + 0*v - 1\/4*v**4 + 0. Factor s(n).\nAnswer: (n - 11)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + -131*(0 + -2) + -3. Find the second derivative of -124 - 3*w - l*w**2 + 87*w + 40 + 37 + 45 wrt w.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 13 - 39. Let l be (-32 - -17)\/(3\/(-13)). Calculate the highest common divisor of p and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29071 is divided by 7258.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -213 + 428 - 217 + 4*k - 2*k**3 - 2*k**4 as l*k + g + u*k**3 + s*k**2 + b*k**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 17636 - 15782 = 0. Suppose 2*b = h + 1603, -2*b = 3*h - b + d. Let n = h - -2744. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 5*i + 27 = 0, -2*p - 3 = -i - 2. Which is the smallest value?  (a) -1\/7  (b) -3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -126*r**3 + 129*r**2 - 767*r + 773. Calculate s(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-15))\/(266\/(-35))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20593933 + 3.\nAnswer: -20593930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 214*d**4\/9 + 1066*d**3\/9 - 7082*d**2\/9 + 1970*d\/3 - 12 = 0.\nAnswer: -9, 2\/107, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1502 (base 6) in base 2?\nAnswer: -110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 2*p**2. Let n(y) be the second derivative of 25*y**4\/12 + 3*y. Determine n(f(k)).\nAnswer: 100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**2 + 13*l - 13*l - 2*l**4 + (-2*l + 0*l + 4*l)*(4*l**3 - 2*l**3 + l**3).\nAnswer: 4*l**4 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-33*f + 8*f - 31*f)*((0*f + 3*f - 4*f)*(f - f**2 - f) + 5*f**3 + f**3 + 0*f**3) to the form x*f**4 + t*f + w*f**2 + l + c*f**3 and give x.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 57645 - 4150517\/72. What is the common denominator of v and 89\/80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*i**2 - 140466*i + 30*i**2 + 140466*i.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70 = -9*p + 5*p - 6*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 3*m = 4*m, 2*m - 4 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.04917 + 0.14917. What is the nearest to 1 in -3, s, -0.003, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004184243 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r**3 + 4*r**2 - 3*r. Give u(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*(2 - (-622)\/4). Let r be (18\/p)\/(2\/10). Determine g, given that 2\/7*g**2 - r*g**3 + 2\/7*g - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 14 and -19.31.\nAnswer: -270.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*v - 4*q + 48 = 0, -15 = -3*q. Suppose -2*n + 16 = 3*r - 24, 0 = 3*n - 4*r - 60. Calculate the remainder when n is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1032.956939 to the nearest integer.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 13250, 53104, 119532, 212540, 332134, 478320?\n\"Answer: d**3 + 13281*d**2 + 4*d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 6, g: 12}. Give prob of picking 2 g.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11032 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 41 and 173881.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2150*a*c**2 + a*c - 790126*a - 6*c**2 wrt c.\nAnswer: -4300*a*c + a - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 12:45 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 26043712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + -13 + 1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (2*6*((sqrt(156)*-1 - sqrt(156)) + sqrt(156) - sqrt(156)))\/(sqrt(144)\/(sqrt(12)*-1) + sqrt(12) - 1*sqrt(1200)) + -5 + -2.\nAnswer: -2 + 12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 491 or 492?\nAnswer: 492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + k**2 - 2*k - 1. Let y(g) = -18 - 14 + 12*g - 10*g. Let f be y(15). Give d(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 - 7*n**2 - 3*n - 3. Let v(a) = -33*a - 1752. Let l be v(-53). What is y(l)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2 - 4*x + 2. Let w be m(4). Let q(o) be the first derivative of 1\/2*o**w + 0*o - 4. Let i(j) = 14*j + 2. What is i(z) - 12*q(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 210 divide 5636610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - 0. Suppose -n + 5*j = -20, -3*n + 11 - 51 = 5*j. Let f = n + h. Let l(a) = a + 1. What is l(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2898.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4*3\/24 - 2)*-2. What is the third derivative of -3*z**g + 6*z**3 + 62*z**4 - 90*z**2 - 49*z**4 wrt z?\nAnswer: 312*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (-1 - 2)) + 6 + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -31486 divided by 33\nAnswer: -31486\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 1928*g - 67. Let a(v) = 964*v - 27. Give 15*a(p) - 6*q(p).\nAnswer: 2892*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 8:49 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - -4. Solve -8 - j = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 187 - 182. Let y(s) = -7 + 4 + 11*s + s**2 + m + 5. What is y(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 40 + -21. Let m = -162 - -236. What is the remainder when m is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 60, 137, 234, 351, 488?\n\"Answer: 10*c**2 + 47*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -6*b + 3*b. Let m = 44 - b. Calculate the remainder when 69 is divided by m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - d = -30. Let k be 9 + -2 - (24 + -4). Let j(f) = -17*f**2 - 17*f + 11. Let q(m) = 4 - 9*m + m - 8*m**2 + 1. What is d*j(l) + k*q(l)?\nAnswer: 2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**2 - 965*m - 970.\nAnswer: 5*(m - 194)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*m = -40*m + 180. Suppose 5*a + 4440 = m*a. List the prime factors of a.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*k - 17*k - 3*h + 9 = 0, -13*k + 61 = 2*h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 9 and 34883505.93808.\nAnswer: 34883514.93808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + v**2 - v + 2. Let x be w(0). Suppose 2 = x*g - 4. Let c(r) = 3*r + 3 - g*r + 2*r - 2. Calculate c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.073805319 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 1 + (-21)\/9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o. Let a(u) = -8104*u**2. Determine m(a(t)).\nAnswer: -16208*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10581143 is divided by 3421?\nAnswer: 3411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*n = 529*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -2*b + 2. Let o(p) be the second derivative of 1\/6*p**3 + 1\/2*p**2 + 0 - 2*p. Give -o(h) + v(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 126*q + 2182. Let w be s(-14). Calculate the greatest common factor of w and 1558.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 - 64666*v - 15.\nAnswer: -64666*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((sqrt(8640) - -1*(sqrt(8640) - -2*sqrt(8640)) - sqrt(8640))*4)\/(-1*sqrt(588) + sqrt(588) - (sqrt(12) + (sqrt(84)*4)\/sqrt(7) - sqrt(12))))**2.\nAnswer: 72*sqrt(5) + 6481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x - 3. Let q be i(-5). Suppose 0 = l + q - 4. Let p be 36\/4*(l - 1). Solve 2*a - 10 = 2*h, 3*a - p = -0*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.008 - 2.938. Let j = -0.07 + a. What is the closest to -2\/3 in 3, j, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 2 + 6*((-3 + sqrt(343))*5 + -3 + (sqrt(343) + 3)**2).\nAnswer: 462*sqrt(7) + 2009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -33 + 26. Which is the closest to -1?  (a) 3  (b) i  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 4*n**2 - 178*n + 100. Determine k(44).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 3 + -1*sqrt(72) + sqrt(72) + -3)**2 + 5*-4*((-1 + sqrt(72) + sqrt(72) + sqrt(72) - sqrt(72))**2 + 4).\nAnswer: -5856 + 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 1 = -6*r + 4*r, 0 = -2*d + r + 17 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yxxbxnxxnxb. What is prob of sequence nbx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 72613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2141134444 (base 5) to base 13\nAnswer: c6191b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4403 + 4403. Let c be (5\/(-11) - -2) + -1. What is the third biggest value in -1, y, c, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 309, 570, 795, 990, 1161, 1314, 1455?\n\"Answer: o**3 - 24*o**2 + 326*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 838549373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 + 2101?\nAnswer: 2101.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*v**2 + 9*v**2 - 17*v**2 + ((4*v - 3*v + v)*(3 - 7 + 2) - 6*v + 3*v + 2*v)*(6*v - 2*v + 0*v) as y*v**2 + l*v + b and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*(965\/(-65) + 2\/(-13)). Let x = l - 12. Sort x, -3, 5, 1.\nAnswer: -3, 1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 91\/65 - (1 - -1). Let k = 7\/15 + f. Is k bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 85*b + 818. Give z(-10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -820087 and -819912 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2676, -2806, -2948, -3108, -3292, -3506, -3756?\n\"Answer: -o**3 - 123*o - 2552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t**3 - 2*t**2 - 76*t - 145. What is the lowest common multiple of 2034 and d(-2)?\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.073 - -0.673. Let o = 421\/3495 - -3\/233. Which is the nearest to o?  (a) q  (b) -2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 - 6*i + 9. Let v be f(-7). Let c = v + 4. Solve 2 = -c*x + 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/90 and 29\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 + t**2 - t - 36. Let g be w(0). Suppose -81*s = -77*s + 80. Let v = s - g. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37 - 187\/5. What is the nearest to 2 in -2, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -11.3  (b) -0.3  (c) 0  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of h**6\/120 + 3*h**3\/2 + h**2. Let t be b(0). Let w = 30 - 24. What is the greatest common factor of t and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-4)\/8*-8)\/((-24)\/(-132)))\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 2*k = -26, 6 + 6 = 2*y + 5*k. Let l = y + 15. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 3*h - 29 = -2*s, 95 = -4*s + 5*h. Let i be (-5)\/15 - s\/6. Let q = 9 + i. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of z**4\/6 + z**3\/6 - 34*z**2. Give i(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8300 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -13 divided by -190\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from jfffjjjn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -4*i - i - 5, 2*i + x - 7 = 0. Let u be (2 - 3)\/(i\/3). Which is the smallest value?  (a) 0.5  (b) u  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1590 is divided by 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - -6dd9d?\nAnswer: 6dd9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -2*v - 9, 0 = -2*q - 2*v - 3*v - 20. Let b(f) be the second derivative of 1\/3*f**4 + 25 - 2*f - 3*f**2 - 7\/6*f**3 + 1\/20*f**5. What is b(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -4*u - 4. Is 26 a factor of -3 - (-55)\/(3 + u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10865?\nAnswer: 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -208 - -231. What is the second biggest value in s, -5, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5656 is divided by 5495.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 123504354 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: Suppose 17*g + 795 = 7969. Is g a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.284693mm to meters.\nAnswer: 0.007284693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 474351080 and 0.2.\nAnswer: 474351080.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 184 - 524 = 5*l. Let o = l - -141. Suppose 76 = -0*d + 4*d. Calculate the remainder when o is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2877 to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ic when two letters picked without replacement from vivscvicsvvcv?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1090778640 to the nearest integer?\nAnswer: 33027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/3))**(11\/2)\/(d**(2\/11))**(-29) assuming d is positive.\nAnswer: d**(469\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -1909*s - 1166. Let r(q) = 382*q + 212. Let p(m) = 2*l(m) + 11*r(m). Let h(y) = 2*y**2. What is h(p(v))?\nAnswer: 294912*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 AM and 1:57 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*l*o**2*u**2 - 85*l*o**2*u + 9*l*o*u + 6*o**2*u - 7815*u**2 + 1 wrt u.\nAnswer: -4*l*o**2 - 15630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.27175 - -0.27185971. Round m to 6 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -4011*u**2 - 441*u. Let o(s) = 136*s**2 + 15*s. Give 5*f(w) + 147*o(w).\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven halves of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-5*-1*sqrt(7) - sqrt(112)*1 - (4*sqrt(252)*4 - sqrt(252))).\nAnswer: 89*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14908059974 - -526.6.\nAnswer: -14908059447.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8256912247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -4*a + 572, 0 = -0*a + 3*a - 6. Calculate the greatest common factor of 288 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1493, 2811, 3949, 4901, 5661, 6223?\n\"Answer: -f**3 - 84*f**2 + 1577*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from sxxxxvxxxxxvxvx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 133806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 18 = -4*s + 4, -13 = -5*l + s. Solve -2*p = l*p + 4*b + 24, -5*p + 5*b = -20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of -1\/4*x**4 + 0*x - 2*x**2 + 0 - 1\/60*x**5 - 1\/3*x**3. Let o be a(-5). Solve 3*b = -t + 14, -b = o*t - 13 + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 193741 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -19305, -39271, -59239, -79209, -99181?\n\"Answer: -v**2 - 19963*v + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (17 - 18) + 0 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9263.436 nanometers to centimeters.\nAnswer: 0.0009263436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 136 and 17408?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand r - 3*r**3 - r + (-5*r + r + 0*r)*(3*r**2 + r**2 - 2*r**2) + r**3 + r**3 - r**3 + 0*r + 2*r**3 + 0*r + (2*r - r + 2*r)*(2*r - r**2 - 2*r).\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnin when four letters picked without replacement from {i: 3, n: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*b**2 - 4*b**2 + 200 - 200.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (57\/12 - 4)*-10*4\/435?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the second derivative of 5\/6*r**4 + 1\/20*r**5 + 0 + 5*r**2 - 5*r + 1\/6*r**3. Let o be i(-10). Solve 4*d - d + 12 = o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 845135065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 5*m - 41. What are the prime factors of n(17)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - -111 - 3)*10\/(-15). Let z be (-3)\/(-4)*d\/111. Suppose q = -4*t - 21, -q = 2*q - 4*t + 31. Which is the closest to z?  (a) -2\/19  (b) -0.2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = 21*h - 83. Suppose 284 = h*j - 3*j. Is 41 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/10 and -61\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from agaaagagaaaggaagaga. What is prob of sequence aag?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -6*y. Let d(c) = 97*c - 4. Let i(s) = 59163*s - 2442. Let g(f) = 1221*d(f) - 2*i(f). Determine g(a(r)).\nAnswer: -666*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2332061608 from 22.8182.\nAnswer: 2332061630.8182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -8 + 83110\/(-60)*-18.\nAnswer: 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*b - 0. Let j be 2 - (b - 0) - 0. Let l be 3\/(-3) + j + -1. Sort 5, l, 2 in decreasing order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1025.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*q + 0*q = -7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 2 + 1)*(0*u + 2*u + 0*u) - 6 + 5*u + 6 to the form c*u + k and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-5*(sqrt(304) + sqrt(304)*-4*4 + sqrt(304))*4*2 + -5)**2.\nAnswer: -22400*sqrt(19) + 95334421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 u when three letters picked without replacement from ueueeue?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - 42. Let v = 39 + i. Which is the fourth smallest value?  (a) 1\/4  (b) 0.17  (c) -0.4  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3)\/w**2)\/(w**1\/w*w)**44)**36 assuming w is positive.\nAnswer: w**(-1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 21 = -3*d, -4*d + 20 = a + 3*a. Suppose -6*u + 15 = -a*u. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 4*q**3. Let s(k) = -k**2 + k**2 - k**3. Let v(z) = 101 + 14*z + 15*z - 4*z**2 + 5*z**2. Let h be v(-25). What is h*s(o) + g(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, 6, 13, 5 in decreasing order.\nAnswer: 13, 6, 5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3912 + -681?\nAnswer: -4593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-32))\/(3\/10)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3517147*v**2 - 106 + 53 + 53.\nAnswer: -3517147*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 59 + 28. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 13 or -134191?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -9 - 4*l - 13*l**2 - 2*l + 0*l + 3*l - 18*l. Let a(p) = 7*p**2 + 11*p + 5. Determine -11*a(n) - 6*f(n).\nAnswer: n**2 + 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189824572.\nAnswer: 2, 7, 6779449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of -p**4\/18 - 2*p**3\/3 + 10*p**2\/9 - 240. Factor g(a).\nAnswer: -2*a*(a - 1)*(a + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128) + 2 + 1)**2.\nAnswer: 48*sqrt(2) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -130 + 1063. What are the prime factors of y?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) - (sqrt(68)*-1*-3 + sqrt(68)))\/(sqrt(4) - (sqrt(4) + (sqrt(240)\/sqrt(6))\/sqrt(10))).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -c + 4*q, 5*q - 5 = -15. Find the common denominator of c + 135\/6 - 0 and -35\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4948668*p - 4116098 wrt p.\nAnswer: 4948668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**19*d)\/d)\/d*(d\/(d\/(d**14*d)))\/d)\/(d**(-2\/7))**(-8\/5) assuming d is positive.\nAnswer: d**(1104\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78*y + 9 - 252*y - 5 - 4 + 93*y + 79*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i*i**1*i))\/(i*i**12))\/(i**(1\/14)*i\/(i*((i\/(i\/(i*i*i**(-7)*i*i)))\/i)\/i)))**(-49) assuming i is positive.\nAnswer: i**(1967\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/271275305 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 1)*(-2*u + 2*u**2 + 2*u) + (-1 + 1 + u)*(51 + 2*u - 51).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -48\/134575 and -31\/96125?\nAnswer: 672875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b + 2*b - 2*b + 3)*(-2*b**2 + 2*b**2 + 2*b**2) + 11 - 12 - 49 - b + 2*b**3.\nAnswer: -6*b**3 + 6*b**2 - b - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**3\/3 - 137*f**2 + 11810*f\/3 - 3800 = 0. Calculate f.\nAnswer: 1, 30, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -914 + 972. Calculate the remainder when o is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -42 + 60. Let m be -1*-6*3\/b*3. Solve -4*o + 6*o = 0, 0 = m*x + o - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5220, 4569, 3462, 1899, -120, -2595?\n\"Answer: -228*q**2 + 33*q + 5415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*1*-1 - sqrt(77))\/(2*(sqrt(7)*-1 - sqrt(7))).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 1 + 2 = 0. Let r = -1 + 6. Let x be o\/r - 44\/(-20). Solve 4 = x*d - d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -685*l + 699*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -398*r + 396*r - 4*h + 56 = 0, 0 = -r - r + 19*h - 289 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2*r + 39. Let p be t(-16). Suppose -6*a = p*a - 5759. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17939, -17966, -17993, -18020?\nAnswer: -18047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -516 + 515.999197. What is o rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 + t. Let a(h) = -16*h**2 - 12*h. Let o(c) = a(c) + 12*i(c). Let z be 12\/(-18)*-1*3. Let b(m) = 5*m - 4*m - z*m. Calculate o(b(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -5597, -5633, -5669, -5705, -5741, -5777?\n\"Answer: -36*w - 5561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -258, -256, -254, -252?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(1\/(-4*(-2)\/12)). Suppose -6*h = -h, -x + w*h + 10079 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 380 = 83*b - 78*b. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*j - 278 = -5*t, 3*j - 3699*t = -3703*t + 91 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 5:04 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) 3\/2  (c) 254\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 3*g + 219 = -381, -o - 3*g + 120 = 0. Let v(i) = i**3 + 3*i**2 - 6*i - 2. Let l be v(-4). Suppose l*j = j + o. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - 23223?\nAnswer: -23213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113*i + 106*i + 106*i - 437*i + 111*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2835 + 2847. Let d = -59 + 91. Calculate the greatest common factor of d and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1*(-4)\/(-28))\/(1\/2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s - 1. Let g be u(1). Suppose 0 = g*y - 4*y + 2. List the prime factors of y - (-4)\/(1\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 - m)*((-m**2 - 2*m**2 + m**2)*(4*m + 0*m - 3*m) - 12*m**3 - 45*m + 45*m) to the form v + x*m**3 + q*m + r*m**2 + p*m**4 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*w**2 + 1020*w - 86700 = 0. What is w?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4283694 is divided by 2128.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*q - 67*q + 22*q + 806 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 4 = x, -4*b - 2*x = -x - 13. Factor -3*h**b + 186*h**5 - 185*h**5 + 0*h - 11*h**2 - 2*h + 3*h**4 - 4*h.\nAnswer: h*(h - 2)*(h + 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2 and -43275.\nAnswer: -43273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 plus 0.0691471422?\nAnswer: -1.9308528578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 - t. Let p(v) = 2*v - 3. Let f be p(6). Suppose 3*c + 3*o = -2*o - 14, 3*o + 14 = c. Let h(x) = 4*x**c + 4 - 4*x + 2 - 5. Give f*r(n) - 2*h(n).\nAnswer: n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.59+295\nAnswer: 295.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -7*o**2 - 96*o - 3. Let y(l) = -9*l**2 - 98*l - 3. Give 4*t(f) - 3*y(f).\nAnswer: -f**2 - 90*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 3 - 4 + c**3 + 2*c**2 - 2*c**3 + 3*c + 0. Let m be q(2). Suppose -m = 5*p - 10. What is the greatest common factor of 8 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 - 4*r - 4. Let l be ((-570)\/(-9))\/(1\/3). Let y(v) = 33*v + 3*v**3 - 190*v**2 + 33 + 6*v**3 + l*v**2. What is -33*p(g) - 4*y(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - 5*c + c)*((2 + 3 - 6)*(-6 + 2 + 2) + 1 + 0 - 3 + 6 - 5 - 2 - 7 + 2 + 16 + 22 - 9 + 19).\nAnswer: -126*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and 2.9202820883.\nAnswer: 3.9202820883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + 13*i - 13. Let g be j(11). Suppose 3 = -2*f - f, f = 2*r - g. Let t = 0 + r. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y + 5. Let d(v) = -1. Suppose -2*p + 5 = 4*n - 1, n = 4*p - 3. Determine p*k(a) + 2*d(a).\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.3 + 0.2. Let f = 1083\/4 + -272. Let t = -13 - -18. What is the nearest to g in 3, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 3*b - 8 = 0. Let m(r) = -r**2 - 12*r - 65. Let o be m(-20). Let h = -225 - o. Solve -5*k + 4*q = 12, -3*k - k - b*q + 12 = h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23517446.\nAnswer: 2, 101, 116423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -15457 at least -17003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 c when three letters picked without replacement from {x: 2, p: 3, g: 1, s: 1, c: 3, z: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -166683870 divided by -4635\nAnswer: 35962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of -445.907 and 357.10245.\nAnswer: -88.80455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 32866007411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -7*x - 1. Let n(k) = k. Let f be 90\/9*(-6)\/(-10). Suppose -d - 15 = -f*d. Let g = -2 + d. What is g*o(a) + 6*n(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 - d + 19. Let h be t(0). Let i = -10 + h. Solve 0 = -4*y + 5*a + 12, -3*a = -3*y + a + i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 243*o - 411 - 424 = 866 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7263 = -2*z + i, 4*z - 5*i = 21038 - 6509. What are the prime factors of z?\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -148, 9, -122.\nAnswer: -148, -122, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**2 + 475*r - 475*r - 18.\nAnswer: -2*r**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 10*s - 5*s**2 + 0*s**2 - 8 - s**3 - 2*s**2 + 2*s**3. What is the units digit of b(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -341*q + 727*q + 936*q + 1567*q - 6.\nAnswer: 2889*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 24 - 4. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = -5*o, 10*i = -5*o + 15*i + 30 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 5*n + 37. Let v be u(-7). Let i = 5 - 2. What is the closest to 0 in v, -5, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 364620 or 364745?\nAnswer: 364620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -4116, 60, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -n + 7*l - 5*l, 4*n - 4*l - 8 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 3:40 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 627480098 is divided by 1999?\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 620 - 1138 - 1118 - 3*v + 1577.\nAnswer: -3*v - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 148  (b) -2  (c) -0.1  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*l - 38*l + 10*l**3 + (-2*l**2 - 2*l**2 + 2*l**2)*(-3 + 3 - 2*l) to h*l**3 + a*l**2 + s*l + j and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {z: 1, k: 1, g: 2, o: 2, j: 4, y: 5}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 2 e when four letters picked without replacement from fiffeeeeifeeli?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 66*i**3 + i**2 - 1. Let o be m(1). What is the greatest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19 and 5909?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -48*o**2. Let z(a) = -121995*a. Determine d(z(j)).\nAnswer: -714373441200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7.772102 nanometers?\nAnswer: 0.007772102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 884 and 26?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 51*m**3 + 98*m**2 + 143*m + 270. What is u(-2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 7  (c) -1  (d) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -540  (b) 0.06  (c) 5.8  (d) 0.4  (e) 1\/7  (f) 0.5  (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n = 8*n - 11000. Is n a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 4*g - 210. Suppose -8158 = 5*h - 698. Is 75\/g*h\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5620, -5617, -5614, -5611, -5608?\n\"Answer: 3*d - 5623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the third derivative of -3*g**7\/70 + 11*g**4\/24 - 10*g**2. Find the second derivative of u(q) wrt q.\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + 1)\/2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/12  (b) 0  (c) -0.1  (d) -204  (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**2 + 6*o - 7. Let u be f(3). Suppose -23 = -u*a - 5*x, 3*a = 2*a - 5*x + 19. Let p(s) = 21*s**2 - 3*s - 5. Is p(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/5, -0.5, 1\/11, -0.3, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 6178602 + 13924.42\nAnswer: 6192526.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of 1\/6*x**4 + 0*x + 7\/9*x**3 + 24*x**2 - 1\/90*x**5 + 0. Let i(h) = 0. What is h?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58 + 1013*c**2 - 782*c**2 + 669*c**2 + 1137*c**2.\nAnswer: 2037*c**2 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iyiiyiiiiuqiiyqicii. What is prob of sequence icyi?\nAnswer: 11\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -12299*b**4 + 30*b**3 + 1080173?\nAnswer: -49196*b**3 + 90*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/280 and 99\/70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*g**3 + 4*g**3 - g**3 + 3*g**2 + 0*g**3 wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 AM and 5:20 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wewuwirwuuwwwi. What is prob of sequence wu?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2060*n**3 + 24*n**2 + 2*n - 6. Let k(g) = 4122*g**3 + 54*g**2 + 4*g - 13. Give 9*d(f) - 4*k(f).\nAnswer: 2052*f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200 = 2*a - 3*s - 1302, -a + 3*s + 751 = 0. What is the remainder when a is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23222111300 (base 4) in base 9?\nAnswer: -5668375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 342\/285*3\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1750?  (a) -2  (b) 2  (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 62 = 3*a, 2*a = -0*a + 3*q + 46. Let c be (-5)\/3*(-72)\/a. Solve -4*r = -12, 0*s - c = -2*s - 4*r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0\/(-5))\/(-3 + 0). Suppose i = -3*q + 11 - 95. Let f be q\/(-6) - (2 - -2). What is the second smallest value in -1, f, -5, 5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 + -1)\/((-12)\/8). Suppose -n*h + h = -14. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1112011101200 + 101?\nAnswer: -1112011101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -4. Let w = -0.096 - s. Round w to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3754, -15031, -33822, -60121, -93922?\nAnswer: -135219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 25 = c. What is the biggest value in 2\/7, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 - 11*t**2 - 6*t - 58. Give y(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, w: 1, y: 5, h: 4, d: 2}. What is prob of picking 2 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 128*b - 12. Let u(p) be the second derivative of -17*p**3\/2 + 5*p**2\/2 - 284*p. What is 5*i(x) + 12*u(x)?\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence moh when three letters picked without replacement from {e: 3, m: 3, h: 2, o: 7}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1819*n**3 - 1822*n**3 + 9948*n**3 - 1825*n**3 - 1818*n**3 - 1820*n**3 - 845*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 6 - 29*z + 15*z - 13*z - 7*z - 2*z. Let j(g) = -12*g + 2. Give 5*d(y) - 16*j(y).\nAnswer: 12*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 7) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 456 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 207*y - 1293 + 669 = 1239. What is the highest common factor of y and 8748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -6\/53  (b) -384.2  (c) 1\/9  (d) 2  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(3) + -1)*2)**2 - sqrt(33)\/((sqrt(11) - sqrt(176))*-4).\nAnswer: -385*sqrt(3)\/12 + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -88, 5, 16207, 6.\nAnswer: -88, 5, 6, 16207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*f*v**2 - 46*f*v + 138840*f - v**2 - 1034*v wrt v.\nAnswer: -6*f*v - 46*f - 2*v - 1034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 2*i. Let o(f) = 6*f**2 - 31*f - 9601. Give o(j(n)).\nAnswer: 24*n**2 - 62*n - 9601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 526, 1020, 1842, 2998, 4494, 6336, 8530, 11082?\nAnswer: 13998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00028176103 to 7 dps.\nAnswer: -0.0002818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 641\/2 = 322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 4*a - 5. Let k(o) = 2*o - 2. Let p(x) = -5*k(x) + 2*w(x). Let n(l) = 18*l**2. Give n(p(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -117 + 62 + 60*y**3 - 58*y**3 + 55.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-1) + 0 + 6. Let z = -3 - -5. Suppose -z*j = -i*j. Solve 0*c - c + 3 = j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 573, -1\/8, -0.1, 1\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2956 or 2980?\nAnswer: 2980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from zqszq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 37390*w**5 + 283525*w.\nAnswer: 747800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -929015 by -149.\nAnswer: 6235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 11:42 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 4:40 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2504492?\nAnswer: 2, 43, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 128.3721kg in nanograms?\nAnswer: 128372100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2\/2 - 50715*t\/2 + 25359.\nAnswer: -3*(t - 1)*(t + 16906)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 9:16 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -4\/13*n + 2\/13*n**2 + 0 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, 168, -6 in descending order.\nAnswer: 168, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/3, 5, 11, -1\/5, 2\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j. Let n(x) = 19970*x - 12. Calculate d(n(l)).\nAnswer: 19970*l - 12","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiddiii?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1457, 1\/4, 0.2, -0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 66868406393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11302 + -151?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -29\/2*r - 15 + 11*r**2 + 1\/2*r**5 + 6*r**3 - 4*r**4 = 0.\nAnswer: -1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -3*i + y + 3, -4*i = 5*y - 23. Find the second derivative of -8*k**3 + 4*k**3 - 2 - 3*k + i wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 12*t**2 - 108*t - 4. Let z be c(9). Let s(p) be the third derivative of 5*p**4\/24 + p**3\/3 - 4*p**2. Let k(j) = -9*j - 3. Determine z*k(l) - 7*s(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 1\/16694?\nAnswer: 1\/16694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3001001130 + -20?\nAnswer: 3001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49 + (13 - (-13 - -17)) - (10 + -25).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g + g - 3*g)*(g**2 + 2*g**2 - 4*g**2) + (-4*g**2 - 1 + 1)*(0 - 2*g + 0) + g**3 + g**3 - g**3 + 3*g**2 - 2*g - 5*g**3 + 320 - 320.\nAnswer: 2*g**3 + 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y - 4*d + 1, 0 = 2*y + 2*y + d - 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -11870, -23742, -35614, -47486, -59358, -71230?\n\"Answer: -11872*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, t: 6, h: 2, c: 3, y: 1}. What is prob of picking 2 t and 1 j?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.22 take away -1453039051878?\nAnswer: 1453039051877.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/3, -5, -218\/7, 0, -196?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 426 = 3*z + 2*f, -4*z + 262 = -5*f - 283. Calculate the greatest common divisor of z and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27 + 34. Let t = -8 + j. Is 1676\/6*t*(-36)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.024  (b) 7  (c) -5  (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/4)\/((-510)\/340)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 948\/3 + 2 + 1. Let o(w) = w**3 + 21*w**2 + 73*w + 49. Let v be o(-4). Calculate the highest common divisor of v and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -4*g + 4*s, 0 = g + 5*s - 10 + 31. Suppose g*k = 10 - 2. Suppose j = -k*d - 6, -3*d - 45 = -5*j + 2*d. Solve -t + j = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -469*q + 216*q + 209*q = 44. Which is bigger: q or 10\/47?\nAnswer: 10\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 17 - 58. Suppose -43 + g = -7*u. Solve 2*w = -0*w - u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 356416813 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1726729 plus -21559131?\nAnswer: -19832402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -310, 873, -5 in ascending order.\nAnswer: -310, -5, -4, 873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and -284*(-1)\/(9 + -8).\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8501 is divided by 8469?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 3*y - 11 = 0, -26 = -37*l + 33*l + 2*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a + 40 = 12*a. Suppose 0 = -4*t + 8*t - a, 3*t = 3*k - 399. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 4, -5, -3, -45820 in descending order.\nAnswer: 7, 4, -3, -5, -45820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 - 3*f + 3*f)*(f**2 - 6*f**2 + 3*f**2) - 4*f + 2*f**4 + 4*f - 2*f**4 + 2 - 2.\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1554035773?\nAnswer: 17, 181, 505049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (-14 - -17) - ((-8 + 5 - -4) + 70)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-5)*r\/(r\/(r**(4\/7)\/r))*r*r**0*r**(2\/9) assuming r is positive.\nAnswer: r**(-265\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13?  (a) -0.2  (b) 22  (c) -1  (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -80\/63319839 and -29\/155577.\nAnswer: 63319839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-2)*-6*(-203)\/(-609).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 429875 and 9593.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.5 and -0.21.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 11 - 5)*(i + 2*i - 2*i)*(-11 + 11 - 6*i**4).\nAnswer: -66*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -68, 5, 3, -44, -5 in decreasing order.\nAnswer: 5, 3, -5, -44, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*s + 2*s - s + (0 + 5 - 1)*(s + 3*s - 3*s)*(-2 + 1 + 0).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 13, -9, -2247 in decreasing order.\nAnswer: 13, -1, -9, -2247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1262 - 801. Calculate the remainder when t is divided by 67.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(3\/4)\/(v\/v**(-1\/3)))**(-10\/3))**12 assuming v is positive.\nAnswer: v**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 0)*(30 - 30 + 12*s)*((-2 - 3 + 1)*(-4 + 3 - 5) - 4 + 3 + 5).\nAnswer: 336*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) 54.99  (c) -2  (d) -0.2  (e) 786\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 359\/2 + -177. Let m(a) be the first derivative of 0*a + y*a**2 + 5. Let r(c) = -2*c. Calculate m(r(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, 5, -5\/2, 76, -0.436?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 8:32 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -239*w + 969. Let b be r(4). Solve b*p - 80 = 24 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1654 + -263. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -481ce (base 15) in base 8?\nAnswer: -701037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -66 + 69. Suppose 5*y = c*y - z + 24, 0 = 3*y - 2*z - 50. Suppose -77 = 3*h - y*h. Solve -36 = 4*m - 4*f, 2*m + h = -f + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) -2  (c) 50\/771\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of -r**3\/2 + 39*r**2\/2 - 4*r + 7. What is s(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + -1 - (-1 + 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in fourty-two fifths of a millisecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1603, -1759, -2013, -2413, -3007, -3843, -4969?\n\"Answer: -8*m**3 - m**2 - 97*m - 1497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111010100111010 (base 2) to base 16.\nAnswer: 753a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -88292 and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -5*w**4 + 445*w**3 - 875*w**2 + 435*w = 0.\nAnswer: 0, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/5))**(-29)*i*i*i**(-5\/4)*i*i*i*i**(1\/2))\/(i*i*i**6*i**(-6)*i**(3\/2)\/i**(-5)) assuming i is positive.\nAnswer: i**(-317\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 - 4*o**2 - 5*o + 2. Let z be h(-3). Suppose -3*v + 4*r = -z - 0, 0 = 3*r + 6. Solve 2*i - 5*b + 2*b - 9 = v, 4*i = 2*b + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -4*s + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1155 and 3600.\nAnswer: 277200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 5*p**2. Let d(g) = -11*g**2 + 6*g. Let u(m) = -32*m**2 + 17*m. Let w(j) = -17*d(j) + 6*u(j). Give w(z(b)).\nAnswer: -125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2 + ((sqrt(1900) - -1*sqrt(1900))*4 + (sqrt(1900) + 1 + -3 - sqrt(1900)))**2 + (-4 + -1*sqrt(1900))**2*-1).\nAnswer: -718116 + 2400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3571*c + 46334. What is f(13)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-8) - (-2817)\/(-6). Let v = h + 1154. Suppose -156 = -t + 7*w - 4*w, 3*w - v = -4*t. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -90 and 7.44716?\nAnswer: -670.2444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4\/3 of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 2*p + 75, 0*g + 3*p + 148 = 2*g. Let o = g - 47. What is the remainder when o is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b**2 + b**2 - b**2)*(5 - 1 - 1 - 2*b).\nAnswer: -6*b**3 + 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.6 + 5.6. What is the biggest value in -0.09, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*6\/2*(-10)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 171869 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 68976.3 from -200984.58.\nAnswer: -269960.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of y**8\/28 - 43*y**7\/42 + 103*y**4\/12 + y**3\/6 - 2*y + 12. Find the third derivative of v(w) wrt w.\nAnswer: 240*w**3 - 2580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 1 + 27*j - 9*j as m + y*j and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 383242.9l?\nAnswer: 383242900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27 and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1500 - -91498\/61. Let a be (-2 - 0)\/(-2 - 0). Which is greater: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 4*b = 0. Let i(z) be the third derivative of 0 - 1\/30*z**5 + 0*z**4 - z**2 + 0*z - 1\/120*z**6 + b*z**3. Find the third derivative of i(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 6. Suppose -o*g = -8*g. Let h = 5 - g. What is the smallest common multiple of h and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 24\/22*10\/(-20). Let v = -0.02 + 18.02. Let s = v - 17. Which is the nearest to s?  (a) f  (b) 6  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-22)*(c\/(c*c*c\/(c\/c**(-13))*c))\/c*c)\/((c*c*c*c\/(c*c**(-3\/10))*c)\/c**(4\/17)))**(24\/11) assuming c is positive.\nAnswer: c**(-30732\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 47550 and 21858735?\nAnswer: 4755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*d - 15*d = 5. Suppose -c + 4 + d = 0. Suppose -c*n + 1063 + 347 = 3*b, 3*b = -n + 1410. Round b to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of u**5\/120 - 55*u**4\/24 + 3025*u**3\/12 + 18*u**2 - 2. Factor h(d).\nAnswer: (d - 55)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(((l*(((l\/l**2*l)\/l*l)\/l)\/l)\/l)\/l))\/l)\/((l\/l**1*l)\/l))\/(l*l**0*l)**(1\/6) assuming l is positive.\nAnswer: l**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -5 + 2*c - 2*c**2 + 982*c**3 - 4*c + 911*c**3 + 0*c - 1897*c**3. Let p(i) = -5*i**3 - 3*i**2 - 3*i - 5. Determine -3*p(y) + 4*t(y).\nAnswer: -y**3 + y**2 + y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do 56 and 64 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 2 = -3*t, 7*t - 12*t + 2*a = -20. Solve -48 + 18 = t*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (270\/252)\/(8\/(448\/(-42))).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -11.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 + 2 - 4)*(-1 + 0 + 0) + 6 - 5 + 0 - 1795 + 3351 + 3147)*(-7*m**4 + 3*m**4 + 2*m**4) to the form o*m + k*m**4 + h + g*m**2 + d*m**3 and give k.\nAnswer: -9406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - 19 = 4*m, 30*m + 16 = 29*m + 4*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -0.1  (c) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 162 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 198 and 184823793.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 747, -2\/5, 4 in descending order.\nAnswer: 747, 4, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (b + 0 - 2 + 4)*(-45*b - 8*b + 2*b**2 + 5*b) as j*b + x*b**2 + f + m*b**3 and give j.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((56 - 35*a - 56)*(-3 + 2 - 1)*(-1 - 3 + 3) - 3*a + 2*a + 0*a)*(5*a - 4 + 4).\nAnswer: -355*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-45) - 264\/(-5445))\/(-1 - 1).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - 4*z**2 + 3*z - 1. Suppose -q - 2*q - 3*b = -12, 3*q - 3*b = 18. Let p be 0 - q\/(-1) - 2. Calculate x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -269472 divided by -12832\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1245 - 1244. Let q(b) = 18*b + 10. Let w(a) = 12*a + 7. Let g(v) = -5*q(v) + 7*w(v). Give g(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - h = o - 695, 1043 = 3*h + 2*o. What are the prime factors of h?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-20)\/14)\/(2552\/231 + -11). Suppose -3*w - 93 = -4*x, -3*w + x - 137 = w. Is q greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 9*t**3 + t. Let q be l(1). Let o = q + -8. Solve -4*c + 5*p + 4 = -8, p = -o*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 5*i = -0*c - 20, 4*c + 30 = 5*i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 11*p - 3. Suppose 13 = 4*j - 2*x + 3, 0 = -2*x - 2. Let b be h(j). Suppose -3 = 3*q, -b = -2*m - q - 2*q. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 187\/17*((-7)\/28)\/(22\/(-848)). What is the greatest common divisor of 18709 and s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -16. Let r = -529.8 + 530. Let s = 0.3 - -0.7. What is the nearest to s in a, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 - 20.973. Let n = -0.527 + r. Let z = 0.3 - 2.3. What is the third smallest value in z, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -44*p**2\/9 + 298*p\/3 + 432.\nAnswer: -2*(p - 24)*(22*p + 81)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h**2 + 87*h + 84 = 0. What is h?\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.069 or -1391287?\nAnswer: -1391287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -199 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 2.658118 days?\nAnswer: 229661395.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 7:22 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 2 = -10, 2*k - 6 = r. Let l(n) = 2*n**3 - 1. Let u be l(k). Suppose u = 4*y - 7. Which is smaller: y or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/6 + (-2)\/(-3). Let w(l) = l**2 + 29*l + 80. Let v be w(-26). Let f be 12\/(-40) + v\/5. Which is bigger: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (3 - 17 - (40 - 25))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-12))\/(2\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5503 + -13210?\nAnswer: -23113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/14)\/((-3)\/28*(-32)\/36)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 65676308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 223 - -115. Suppose -4*f + 306 = -k. Calculate the greatest common divisor of 23 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 7 + 8. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.6144457 rounded to two decimal places?\nAnswer: 42.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 378401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + r + 3*b + 63 = 0, 8 = 2*b. Calculate the common denominator of (-9)\/((-450)\/205) + 2\/(-10) and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-five halves of a millennium?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -2*c + 2. Let n(d) = 3*d - 4. Let y(o) = -2*g(o) - n(o). Let u(i) be the first derivative of 2*i**2 + 1. Calculate u(y(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1017 (base 12) to base 5\nAnswer: -23442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -9\/11, 767, 2.7, 0 in descending order.\nAnswer: 767, 2.7, 0, -9\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2370316 (base 11) to base 13.\nAnswer: b175a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2795878730 to the nearest integer?\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 184*k**5*u**2 + 40*k**2*u**2 + 2*k**2 wrt k.\nAnswer: 11040*k**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 2 q when four letters picked without replacement from {q: 5, j: 8}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -11c5 + 0?\nAnswer: -11c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118*y**3 + 108*y**3 - 225*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1, -6, 36 in descending order.\nAnswer: 36, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (4 - (3 - -2)) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.6 and -44.\nAnswer: 70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, n: 2, s: 8}. What is prob of sequence pnsp?\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*l + 56*l = -5. Suppose -3*j = -2*m - 1, 0 = -l*m + 10 - 5. What is the highest common divisor of 59 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (0 - 2) + (220 - (-8)\/(-8)).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0315 times 34?\nAnswer: 1.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**3\/u)**(9\/4)*(u**(-1))**(-3\/17) assuming u is positive.\nAnswer: u**(159\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -3) + -11 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 6:58 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + -17. Suppose g*l = -2*l + 16. Solve -3*n + 2*n + l*m = 19, -3*m = -4*n - 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-7)\/(16 + -15)*(0 + -482)?\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 511*l**2 - 251*l**2 - 258*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/389 in 0.5, 1\/4, 51, 0, -5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l**2\/2 + 16905*l\/2 - 7965500 = 0. Calculate l.\nAnswer: -17800, 895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 578569514.04 - 0.2\nAnswer: 578569513.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 6) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/2*(-40)\/60*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 4*u = 14, -6 = u + u. Let c be 84\/12 + z + 1. Suppose 0 = 3*q - s + 2 - 37, -q + 5*s - c = 0. What is the highest common factor of 65 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -163, 3, -1, 5 in ascending order.\nAnswer: -163, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84844.\nAnswer: 2, 21211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -99*c - 18 - 3310719*c**2 + 3310719*c**2 + 2*c**4 to the form b*c**2 + f*c**4 + y*c**3 + d + m*c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -549 in 0.3, -1286, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 75296\/14112 - (0 + 5). Let g = k + 32\/441. What is the common denominator of g and 32\/7?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**20*l)\/l**(-3\/20))\/(l**(-19))**18 assuming l is positive.\nAnswer: l**(7263\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 5*z + 8. Let a(n) = -7*n + 2. Let y be a(-2). Suppose 0*u + 4*u = -y. Is u equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 + 11*g - 3. Let y be v(-12). Let t(s) = -5*s + 9. Give t(y).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (91078\/155)\/(-26) + 19.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/20 and 10\/144*(11 + 17).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 5*g, g = 3*r - 30 + 14. What is the highest common factor of r and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-92)\/(-18))\/(28530\/17118*1*(-1)\/(-15)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.94 + 0.06. Let s be (-9)\/45*(-6 + 11). What is the nearest to 2 in 7, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26309270257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 PM and 4:09 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 6 = -6. Let x be k - 3\/(1 - 4). Is x >= -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - t - 1. Let o(n) = 4*n**3 - 7*n**2 - 4*n - 4. Determine -o(p) + 4*y(p).\nAnswer: -4*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -7422*g**2 - 64*g - 504. Let l be r(-8). Round l to the nearest 10000.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 340, 2345, 7554, 17497, 33704, 57705, 91030, 135209?\nAnswer: 191772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.205 + -463987?\nAnswer: -463995.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2981369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1775 + -3075. Round y to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/3)\/(m\/m**4)*m*m**5*m*m**5)\/((m*m\/m**(-2))\/((m*(m**(-2\/11)\/m)\/m)\/m))**(-7) assuming m is positive.\nAnswer: m**(1912\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = -5*g - 5*q - 2, 5*g + 3*q = -56. Let m be 2\/(-5) - 4\/g. Suppose -d = -m*d - 2. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 6*t**2 - 8*t + 7. Let z be b(4). Let c = 26 - 19. Let s(j) = -41*j**3 + 4*j**2 - 1 + 40*j**3 - c*j + 4*j**2. What is s(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.8 - 0.2. Let m = 45.989 + 0.011. Let x = 45.6 - m. What is the nearest to 0.1 in 0.5, x, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 94 and 27630078.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 3*z + 4*c = 16, 3*c - 3 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((75\/250)\/1)\/((-3)\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-10))\/(18\/(-207) - 108\/345)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25161 - -25157. Put 0.974, x, 0.4 in descending order.\nAnswer: 0.974, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21220010 - 2?\nAnswer: 21220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1868406 rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 2*b - 5, b + 3*m + 0 = 1. Sort -2, 53, b in ascending order.\nAnswer: -2, b, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-632)\/(-72) - 9 - 3028\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38, 50, 70, 98?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3478*v - 3492*v + 2 - 2.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11443726 to the nearest integer?\nAnswer: 3383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10201 (base 3) to base 9.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -252*w**2 + 76*w**2 + 5*w - 5*w in the form o*w + h*w**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t**2 - 51116*t - 511560 = 0 for t.\nAnswer: -10, 12789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b - 6*b + 16*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 5:22 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 92 = -8. Suppose r - 8 = -2*j - 0, -5*r = j + 5. Suppose j*o = 7*o - h. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of u**5\/240 + u**4\/24 + u**3\/6 + 9*u**2\/2 - 13. Let k(b) be the second derivative of g(b). Solve k(i) = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164954*h - 215 = 164959*h for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 62313, 61574, 60839, 60108, 59381, 58658?\n\"Answer: 2*d**2 - 745*d + 63056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21211365577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 9*m**2. Let l be (-6)\/6 - (-13 - 2\/(-2)). Let d(g) = 7*g + 0*g - l*g. Determine d(o(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*k - 2312597 = -10750715. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 606.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/2)\/(((-15)\/(-22))\/(-15)). Let s(t) = t**3 - 8*t**2 + 21*t + 20. List the prime factors of s(n).\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 12 = 2*o, 3*f = 5*o + 2 + 1. Let q be (86\/16 - f)\/(3\/4). What is the second biggest value in -1\/2, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 2*c**2. Suppose -3*w + 2*w - 3*h + 15 = 0, -2*h + 38 = 3*w. Let f(d) = 40*d**2 + 11*d + d - w*d. Calculate f(g(s)).\nAnswer: 160*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1\/6, -114637, -2, -7, 0.\nAnswer: -114637, -7, -2, -1\/6, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + 6*i**2 + 7*i. Let t be -3*1\/3*-7. Let c be o(t). Suppose 0*g - 1282 = -4*d + 2*g, c = -g + 5. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 19*g**3 + 9 - 6 + 8.\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 13) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 9, 3*m = 8*b - 3*b - 3. What is the nearest to -0.4 in 0.3, m, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (-1 - -5 - (-9 + 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25258, -50483, -75700, -100909, -126110, -151303?\nAnswer: -176488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is -1.5617841 rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51281983?\nAnswer: 51281983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51408.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19 - -21. Let f be -2 - (60\/(-2))\/y. What is the highest common divisor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-3))\/(295\/(-177)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3060 by -313133.\nAnswer: 3060\/313133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from snnnsnuussnss. Give prob of sequence sun.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -39870.367 rounded to the nearest ten?\nAnswer: -39870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2595 by 5.\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, m: 1, y: 2, b: 1}. What is prob of picking 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 25 = -4*s, -24*m - 34 = -25*m + s. Solve 12 - m = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -722 + 709. Let w(q) = 7*q**3 + 13*q**2 - 2. Let t(d) = 15*d**3 + 26*d**2 - 5. Let c(v) = -6*t(v) + 13*w(v). What is the units digit of c(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w - 4. Let l be r(2). Let s(q) = q + 4. Let c be s(-8). Let v = c - l. Solve 0 = -o - k - 2, -v*k - 5 = -o + 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5*b = -10, -b + 40 = -5*k + 50. Let m(a) be the first derivative of 0*a**2 - 9 - 2\/3*a**k + 0*a. Let q(n) = -2*n. What is q(m(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2*r**2 + 8*r + 4. Let c(o) = -o**2 + 4*o + 8. Let s be c(7). Let g = s - -6. Is i(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 + -13)\/(-5 + 4). What is the remainder when 2*(398\/w - (-12)\/96) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 4 - 3) + 1 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -594 - -655 - (-5 + 22)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-15))\/(504\/210*(-2)\/(-21))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24396*j**2 + 28 - 28 - 13*j + 31*j + 24396*j**2 + 12*j**3.\nAnswer: 12*j**3 + 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 6*l**3 - 5*l**2 + 2*l. Suppose 0 = 9*u - 233 + 35. Let a(d) = 0*d - d + 21*d**3 - u*d**3 + d**2. What is 4*a(x) + b(x)?\nAnswer: 2*x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011 - -111010111101111100?\nAnswer: 111010111101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -15*x + 361. Determine f(23).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 353488?\nAnswer: 2, 22093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 243686 is divided by 243652?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7921086 rounded to 3 decimal places?\nAnswer: -0.792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 5*r - 24 - 12 = 0, -3*f + 3*r = -24. Suppose 114 = f*j - 30. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**4)\/a)\/((a*a\/a**2)\/a))\/((a**(2\/9)\/a*a*a)\/a**(-1\/2)) assuming a is positive.\nAnswer: a**(-85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -22*z**3 - 4*z**2 - 11*z. Let l(h) = -22*h**3 - 5*h**2 - 10*h. Let d(x) = -4*l(x) + 5*m(x). Find the second derivative of d(y) wrt y.\nAnswer: -132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + -16. Let f = -1 - y. Let z(v) = -v**2 - 6*v + 14. What is the remainder when f is divided by z(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/14)\/((-2626)\/(-36764)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4233 is divided by 808?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -559, -518, -463, -388, -287, -154?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 222035034 to the power of 1\/2, to the nearest integer?\nAnswer: 14901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3\/5  (b) 0.2752  (c) -323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m + 20. Let v be w(17). Solve 5*k - 2*b = v*b, 0 = -2*k - b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -329?  (a) 2\/13  (b) -1  (c) -0.4  (d) 0.2  (e) 14\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w**3 - 13*w**2 + 2*w**2 + 4*w**2.\nAnswer: 3*w**3 - 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.616409 kilograms?\nAnswer: 0.000616409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkm when three letters picked without replacement from okgorggrkmzm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 39\/((8\/(72\/27))\/(-1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (85036\/(-49))\/(-2) - 4\/(-14).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 550\/39 and 89.71 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 PM and 6:39 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 PM and 3:19 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13784, -27583, -41382, -55181, -68980, -82779?\nAnswer: -96578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of 3*g**4\/4 - g**3 - 3*g**2 - 23. Determine d, given that n(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**3*h**(-2\/65)*h assuming h is positive.\nAnswer: h**(258\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.46429 rounded to 2 dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 120 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2697.\nAnswer: 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/7  (b) 2  (c) -2\/13  (d) -6\/13  (e) 7496  (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 111  (b) -1\/5  (c) -4  (d) 4  (e) -14568  (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -231.232 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 850*r - 115 + 241 - 126 in the form j*r + q and give j.\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 22*f = -26*f - 20, -11*w + 2*f + 44 = 0. Let d(g) = -8*g**2 + 18*g - 6. Determine d(w).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 5  (b) -0.1  (c) -398  (d) -294\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-7 - -11)\/4*(5 + (-72)\/8). Suppose -v - 2 = -5. Sort -3, -1, v, s in descending order.\nAnswer: v, -1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(2\/17))\/((k*k*k**(1\/4))\/k)*k*(k\/(k\/(k*k**(5\/4))))\/k*k*k*k\/k**(3\/7))**(-22) assuming k is positive.\nAnswer: k**(-11660\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1 + 0.3. Let r = 5 - 6. Put q, -3, r in decreasing order.\nAnswer: q, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/10)\/(9\/(-12)). Let b = 12 - 7. Let d be -1 - ((-2)\/b + -1). Put -0.3, g, d in descending order.\nAnswer: g, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 4) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3995*p**2 + 4*p + 1922*p**2 - 364 + 1984*p**2 - 1309 wrt p?\nAnswer: -178*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 + 5*w. Let m(i) = -2*i**2 - 16*i. Calculate 3*m(p) + 8*n(p).\nAnswer: 2*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -4*q - 15, 14 = -5*j - 4*q + q. Let f(x) = x**3 + x**2 - 1. Let s(z) = -5 + 5 - 4 - 274*z**2 + 278*z**2 + 3*z**3. Determine j*s(a) + 4*f(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 32 - 45. Let x = m - -12. Let y = -2.3 + -1.7. What is the second smallest value in y, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5243501.95 to the nearest 100000.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -71*k + 150. Determine i(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 75982.86 centimeters in micrometers?\nAnswer: 759828600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7709935471 to the nearest integer?\nAnswer: 87806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = m - 4*p, 0*m + 3*m + 5*p = 71. Let i = -2112 + 2128. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-10))\/((-105)\/(-350)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1300, 5310, 11994, 21352, 33384, 48090, 65470?\nAnswer: 85524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -145*s**2 + 215. Let f(l) = 2*l**2. Calculate z(f(n)).\nAnswer: -580*n**4 + 215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -28*b + 2. Let q be o(7). Let a = q - -306. Let f be ((-294)\/21)\/(-2 + 1). What is the greatest common divisor of f and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40 - 6 - (-6 + -11 + 5)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-200)\/480*64\/(-120).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -114*b. Let o(z) = -307*z + 12. Let w(l) = 62*l + 1. Let k(q) = o(q) + 5*w(q). Give t(k(d)).\nAnswer: -342*d - 1938","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1081 times -1.7\nAnswer: -1837.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 + 12*r**2 - 9*r + 12. Let g(m) = m + 1. Let q(s) = 3*g(s) - h(s). Let k be q(11). Factor 2\/3*z**k + 0 + 1\/3*z + 1\/3*z**3.\nAnswer: z*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v - 2*v - 2*v)*(711 - 2*v**2 - 706 + 4*v**2).\nAnswer: -12*v**3 - 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q\/(q**0\/q)*q)\/q)\/q)**9*(q\/q**0)**(-13) assuming q is positive.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 2*h + 6 = -2*n, 9 = 5*n + 2*h. Let i(s) = 3 - n - s - 2. Let p(x) be the first derivative of 5*x**3 - 329. Give i(p(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20534 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 639 and 781.\nAnswer: 7029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 292 = k, -15*k + 13*k = 5*m - 539. What is the highest common factor of k and 1612?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from mwwl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - n + 88, n + 0 - 1 = 0. Let h = -25 - m. Suppose 4*y - 32 = h*g, g - 6*g - 36 = -4*y. Solve 0 = -q + y*q - 4*b - 15, -5*q - 2*b - 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-297)\/(-77) - 20\/5.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6568 = -201*x + 1687 - 13008 for x.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -359 bigger than -3594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(-2\/9)*g)\/(g**6*g*g*g))\/(g**1*g)**(3\/2))\/((g**(2\/3))**(2\/11)*((g*g**3)\/g)\/g**(-5)) assuming g is positive.\nAnswer: g**(-1915\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2*u**2 - 8*u + 4. Calculate the remainder when 26 is divided by l(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 107 divided by 1562978.\nAnswer: 107\/1562978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - k - 26. Let x be f(-5). What is the nearest to 0 in 0.3, 5, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - 12*i**2 - 8*i + 3. Determine t(-11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 - 9*g + 2. Let j be n(9). Suppose -880 = -0*p - j*p. Suppose -w = -5*w + p. Calculate the remainder when w is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -135*f*t**3 + 85*f*t**2 + 156*f*t + 81*t**5 - 2506*t + 1 wrt t?\nAnswer: -810*f*t + 170*f + 1620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 5*n**2 + 4*n**2 + 8*n**2 - 20*n**2 + 2*n**2. Let y be (-22)\/(-12) + 2\/12. Let u(d) = -21*d**2 - 19*d**y + 16*d**2. What is u(w(g))?\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 4*z**2 + 18*z - 7. Let k be (10\/4)\/((-4)\/8). Let j be w(k). What is the closest to 0.3 in j, 2\/19, -2\/5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 667038684.\nAnswer: 2, 3, 13, 353, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-3\/8)*(h*h\/((((h*h**(-13))\/h*h)\/h)\/h))\/h)**15)**42 assuming h is positive.\nAnswer: h**(41265\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum -6925.5 and 49021.4.\nAnswer: 42095.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of q**8\/336 + q**5\/20 + q**2. Find the third derivative of v(p) wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14711351 (base 8) to base 11\nAnswer: 19a9448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 510 and -45200507154.\nAnswer: -45200506644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 6*q**2 - 3*q - 3. Let z(k) = -17*k**2 + 8*k + 8. Let m(n) = 8*p(n) + 3*z(n). Let d(l) = -5*l. Give m(d(o)).\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13961531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -6025*x - 463931. Determine q(-77).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -326*q + 674*q - 1298 = 289*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4049, -16199, -36447, -64793, -101237, -145779?\nAnswer: -198419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - 0.047?\nAnswer: 8.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = 8, -3*k = -9*v + 6*v - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1\/3*m**4 - 1\/3*m**2 + 0*m**3 + 0*m + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -2*y - 54. Let k be j(-29). Put 0, -5, k, -23 in ascending order.\nAnswer: -23, -5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the third derivative of -13*u**5\/3 + 115*u**4\/12 + 475*u**2. Find the second derivative of a(z) wrt z.\nAnswer: -520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1895135 and 2585?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 205536585959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -3*m + 383, -3*y = -5*m + 2*m + 375. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n**2. Let u = -20 + 13. Let s = u - -10. Let r(p) = -s*p - p + 6*p. Determine m(r(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 8*k + 25. Let y(l) = -4*l + 8 + k*l - 2. Let f be y(-10). Is f not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 - 2. Determine d(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, y: 2, n: 2, i: 5, h: 1, k: 2}. What is prob of sequence kv?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**2 + 48535*w + 291390.\nAnswer: -5*(w - 9713)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 - 1 - (-35)\/15. Suppose 4 = -3*j + j + 2*i, 4*j + i = -13. Which is the second smallest value?  (a) j  (b) -3\/5  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4 + -1 - 42\/(-14). Let w(g) = -g**2 + 5*g + 4. What is w(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 + 3*r - 13 - 8 - 35*r**2.\nAnswer: -35*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -902 + 1351. Suppose -4*o = -3*w - u, 0 = 5*o + 4*w - 0*w - 538. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/704782650 and 41\/93971020?\nAnswer: 1409565300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 312\/(-26)*(-3)\/32*-20*10\/(-350)\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 - 6*d**2 - 6*d - 1. Let h(s) = s**3 - 19*s**2 + 34*s - 19. Let n be h(17). Let b be 4 - (-13)\/(52\/(-72)). Let g = n - b. Determine y(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 101*w**2 - 3*w - 67. Is i(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 560\/(-105) - ((-4)\/2)\/6. Let f(u) = 32*u + 65. Let m(x) = -65*x - 130. Let i(b) = y*f(b) - 2*m(b). What is the first derivative of i(w) wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*j**3*l**3 - 4161*j**3 - 2*j**2*l**2 - j**2*l - 2*j*l**3 + j*l**2 + 552*j wrt j.\nAnswer: -84*l**3 - 24966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1846 + 1848. Sort 4, o, -0.1133 in increasing order.\nAnswer: -0.1133, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j**(6\/5)))**(-23\/5))**(7\/10) assuming j is positive.\nAnswer: j**(483\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 136.7 * 36.\nAnswer: 4921.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**2 + 0*l**2 - l**3)*(-5 + 64*l + 5 - 3*l).\nAnswer: -61*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 44*d - 305. Give q(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -161 + 318*t**2 + 43*t + 161 - 43*t.\nAnswer: 318*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -328, -1340, -3032, -5410, -8480, -12248, -16720?\nAnswer: -21902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 8\/5, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/5, 37, 5304\/53, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -71.21706485 to three decimal places.\nAnswer: -71.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 802 and 17243.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3428714*j**4 - 3*j**2 + 6033*j - 63 wrt j?\nAnswer: 82289136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -4*f - 40, -5*f + 44 = 4*m - f. What is m rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-8)\/10)\/((-4)\/50). Suppose -4*j = -s - z, 3*j - 3*s = -8*s - 4. Suppose 2*d - 8 = -j*d. Solve 0 = i - 3*q + q + d, 2*q = -4*i + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4296*s**6 - 92*s**2 + 6*s.\nAnswer: -515520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 275530 and 1770?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**13*r*r**(1\/12))\/(r**(-20)*r*r**(-15)) assuming r is positive.\nAnswer: r**(577\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109*m + 598*m = 1256 + 11458 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-16)\/20 - (-57)\/15. Suppose 2*v + c - 1 = 0. Which is bigger: v or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*x + 0 - 4*x**3 - 4*x + 4 + x**4 - 2*x**2 - 3 to the form w*x + y + k*x**4 + l*x**3 + n*x**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -60\/8677969 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*f**2 + 58*f**2 + 3 + 50*f - 40*f**2 + 89*f**2 + 107*f**2.\nAnswer: 208*f**2 + 50*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 AM and 11:16 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 516766137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.26 and -10277.8.\nAnswer: 2672.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1\/(-12))\/((-111)\/222) + 4)*72\/80.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -25.57211?\nAnswer: 25.57211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4*h + 1. Let y(r) = -5*r + 2. What is -3*t(b) + 4*y(b)?\nAnswer: -8*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7896872 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-78)\/(-21) - 6\/(-21). Suppose -16 = -p*m + 2*m - 3*o, -18 = -5*m - 2*o. What is the greatest common divisor of 5 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65812501.\nAnswer: 65812501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 16315249 a multiple of 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*j - 22*r + 27*r + 13, -5*j + 16 = -7*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 0. Calculate the least common multiple of 0 + (16\/(-4) - -9) and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 - 7*s**2 - 9*s + 8. Let t = -16 - -24. Let q be c(t). Let m be 1*(-3 - (q - 3)). Solve -5*v + 24 = 4*w, m*w + 4 = 4*w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) 1251  (c) 1\/4  (d) -1  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 + -7. Let t(b) = -b - 8. Let y be t(-11). Suppose 34 = p + 5*h, -h = p - y*h - u. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6955 = -484*l + 43739 for l.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10\/3*u - 5\/3*u**2 + 0.\nAnswer: -5*u*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 5, l: 14}. What is prob of picking 1 u and 2 l?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17557 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.3 - 0.1. Suppose -g - 3*s = 42, -405*g + 406*g - 4*s = 56. What is the closest to -2\/9 in g, 1, y, -0.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.11, -1, 2\/7, -4, -69 in ascending order.\nAnswer: -69, -4, -1, -0.11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 89440830 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Is 77345806 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = -5*b - 25, 3 = -3*b - c - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.24625 + 0.04625. Let t = -1\/7 + 25\/28. What is the nearest to l in t, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by 109982.\nAnswer: -9\/109982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 AM and 7:03 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 963589.\nAnswer: 11, 251, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27)\/6*-1*6692\/3585*1*5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/22572 and 17\/28728.\nAnswer: 316008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -5 + 4*v - 3 - 3 + 0. Let u be q(8). Calculate the greatest common factor of 14 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 13 + 5. Let w = 4 + y. Solve 2*v = -w + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.06 + 0.76. Let c = 69 + -69. Is c < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j**(-1\/4)\/j)*j**(-7))**(9\/2)*(j\/((j\/(j**(-3\/8)\/j))\/j)*(j\/(j\/(j*j**(-4\/9))))\/j)**(-10\/3) assuming j is positive.\nAnswer: j**(-3055\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -1342475047.4 to the nearest 10000.\nAnswer: -1342480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 18 = y. Let t be 8\/6 + y\/12. Let s(f) = -f**3 + 6*f**2. Let k be s(6). Is t greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39580788 divided by -9895197.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t**3 - t**2 + t. Let l(p) = -p**2 + p + 47. Let d be l(7). Suppose d*m = 6*r - 5*r + 6, 0 = 5*m + 5*r. Give b(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j - 53*o + 56*o - 206062 = 0, -5*o = -4*j + 103018. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**5 - 22*h**4 - 36*h**3.\nAnswer: -2*h**3*(h + 2)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**2 - 6*x + 2. Let t be (-348)\/(-42) - 6\/21. What is the tens digit of o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.11  (b) 0.3  (c) -29\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 147\/(-627)*53\/(-53) + 4\/(-22)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6 - 3 - -13)\/2. Let j be (c + -2)*6\/18. Suppose 3*y - j = 22. Solve 2*r - 1 = 2*t + 7, 0 = 3*t + r - y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51616 divided by 12904.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1509 plus -298.72483439?\nAnswer: 1210.27516561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 118 and 381258.\nAnswer: 381258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 4*l = 3, -5*n - 3*l + 32 = -17. Sort 0.3, n, -3 in increasing order.\nAnswer: -3, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -152 - -165. Solve -j - 2 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -2*k**2 - 7118. Let o(v) = 5*v. Determine s(o(r)).\nAnswer: -50*r**2 - 7118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {v: 2, y: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25596.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 4  (b) -2.8  (c) -2\/11  (d) -1  (e) -13  (f) -0.7  (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3876403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112*k - 3*k**3 + 799 - 194*k + 737 + 72*k**2 - 270*k = 0. Calculate k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2336 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 144 divide 236348295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-1\/6)\/(z*z**(-4))*(z\/((z**(-3\/4)\/z)\/z)*z)\/(z**(3\/10)*z) assuming z is positive.\nAnswer: z**(377\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.36099  (b) -5  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 343315.1l?\nAnswer: 343315100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 - 19. Suppose o + 10 = -l*o. What is the least common multiple of 22 and 21 - 1\/(3 + o)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -3 + 4 + (-1 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = z - 0*z - 17, 20 = 5*f. Solve 0*o + 52 = z*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.6, 6\/25, 2, 14, 1.91, -1\/5 in descending order.\nAnswer: 14, 2, 1.91, 1.6, 6\/25, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*o - 3131 + 3129 - 3*o**4 + 4*o**4 - o**2 to k*o**4 + c + z*o**3 + d*o**2 + f*o and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -425 divided by -1064?\nAnswer: 425\/1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - 2*u)*(0*u - 2*u + 0*u) + u**2 + 0*u + 0*u)*(80*u**3 - 25*u**3 - 5*u**3).\nAnswer: 250*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -6\/11  (b) 0.04  (c) 0.08  (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 42*i**3 + 5*i**2 - 18*i + 2. Let m be t(2). Let r = -84 + m. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13067 - 336. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s**2 + 2*s + 4. Let o(r) = 118*r**2 + 14*r + 28. Calculate 2*o(f) - 14*w(f).\nAnswer: 208*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12031225 (base 7) in base 8?\nAnswer: 4043010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 y when four letters picked without replacement from {t: 7, l: 3, y: 9}?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {f: 4, l: 2, h: 7, e: 3, y: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 920 and 2617640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 1.43\nAnswer: 2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 15564 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 - -24. Let k(w) = 3*w - 18. Let h be k(l). Solve -8*n + 2*n**4 + n**2 - 3*n**3 - 10*n**h + 21*n**3 + 5*n**2 - 8 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-5\/8)*u*u*((u\/u**1)\/u)\/u)\/(u**15\/u**(5\/3)))**(-7) assuming u is positive.\nAnswer: u**(2345\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3120995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of -41*n**5\/60 - 36*n**2. Let s(b) = -b. Determine s(g(d)).\nAnswer: 41*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 129 divided by -90468.\nAnswer: -43\/30156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**3 + 5*w**2 - 21*w - 58. Let f be p(-5). Suppose -2*m - 51 = 53. Let k = m - f. Calculate the highest common divisor of 39 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 426 = 3*l, 13*l + 546 = 5*t + 16*l. Let s = t - -18. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 201 + -1264?\nAnswer: -1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 1 + -18 + (38 - 24) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.330836 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105*g**2 - 2*g + 29*g - 23*g - 4*g.\nAnswer: 105*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*s + 21*m + 59 = 16*s + 21*s, 0 = -5*s + 4*m - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((48\/(-9))\/(-4))\/(-16*(-408)\/(-1152))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1152?  (a) 4  (b) -0.2  (c) -0.8  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/((-4176)\/(-27)))\/((-113)\/(-904))?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31156 + 305667. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -4. Let q(d) be the first derivative of 163*d**n + 1 - 166*d**2 + 2*d - 7*d. Find the first derivative of q(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 - 246 + 99)*(-i + i - i)*(3*i - 2*i + i).\nAnswer: 318*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 17*o - 457. Let r be u(27). Solve 3*s + 5*t + 20 = -2*s, r*s + 4*t + 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a day in seconds?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from gczizgul.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5, 148, 559, 1354, 2659?\n\"Answer: 21*t**3 + 3*t**2 - 3*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -3*g**2 + 13 - g**2 - 4 + 5*g**2. Let a be y(5). Let j = a - 8. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 296 and 605949?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1401032.2 rounded to the nearest ten thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 414, 2150, 5154, 9420, 14942, 21714?\n\"Answer: -c**3 + 640*c**2 - 177*c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 - 2*w**2 - 5*w - 2. Let l be -7 + (-50)\/45*(-9)\/2. Calculate r(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8189103g in micrograms?\nAnswer: 818910.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 - -16. Which is the second biggest value?  (a) 1\/5  (b) j  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -35 (base 15) to base 11\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, -6, 2638, 39 in decreasing order.\nAnswer: 2638, 39, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*-10*24\/16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/40 and -36\/19505485.\nAnswer: 156043880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 22) + 11 - 18 - -21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + -7. Let t(j) = 4*j**3 + 3*j**2 - 2*j - 6. Let h(p) = -p**3 + p**2 - p + 1. Let q(u) = 3*h(u) + t(u). List the prime factors of q(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*x + 2*x + 3*x + (x - 1 + 1)*(-4 + 1 + 4) - x - 4*x + 3*x - 1 - 2*x + 1 - 2 + x + 2 + (4 - 2*x - 4)*(0 - 1 + 4) - 3 - 3*x + 3.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 350 and 42875?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -20*v. Let k be s(-1). Calculate the greatest common factor of 90 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.5  (b) -29  (c) 2  (d) 0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11460?\nAnswer: 2, 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 245276 >= 245278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 10 = 3*a. Let c(z) = 7*z. Let b be c(a). Let w be 6*((-88)\/(-33))\/8. Solve 5*l + 4*d = 33, w*l - d + 3*d - b = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l + l - 2*l)*(-3*l + 3*l + 3*l**2) + 0*l - 4*l**3 + 0*l + l - 27 + l**2 - 3*l + 2*l**3 + 26.\nAnswer: -5*l**3 + l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -16*t - 32. Let m be y(19). Let o be m\/32*(-4)\/6. Solve 8 = 5*b - 2*u - o, 0 = -2*b + u + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107729.\nAnswer: 17, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 7:24 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 7 = -5*h, -3 = -h + 3*s + s. Let o(z) = 1 + z**2 + 4*z**2 + 5*z**2. Is 11 a factor of o(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -285*i**2 - 285*i**2 + 850*i**2 - 273*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -10, -57, -128, -223, -342, -485, -652?\n\"Answer: -12*y**2 - 11*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.0327 - -0.032903. Round d to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*s - 32 = -188. Solve 2*k = 2*w - 10 - 6, -5*w = 2*k - s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00161 plus 30.69911?\nAnswer: 30.6975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2982014 and 434?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 10. Suppose -o + 5*m - f = 0, 4*o + 4*m - 4 = 12. Suppose o*r = 7*r - 215. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(1\/3))**(6\/31))**14*(p\/(p\/(p\/(p\/(p\/(p*p**(2\/7)))))*p))**40*p\/p**(-1\/2)*p\/(p*p\/p**(-2\/7))*p assuming p is positive.\nAnswer: p**(-20225\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + 3*s - 2*s)*(0 - 1 + 2)*(5*s - 5*s + s)*(90 - 182 + 99).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v - 99*v**2 - 104 + 32 - 64 - 218.\nAnswer: -99*v**2 - v - 354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w**5\/2 + 2*w**4 + 7*w**3\/2 - 11*w**2 - 12*w = 0?\nAnswer: -2, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -75584 divided by -3?\nAnswer: 75584\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 148065 = 13*o - 72662. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -257 - -493. Suppose 0*h + 4*h + i = 0. Let k = -30 - h. Find the common denominator of k and -17\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 725259 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10331 is divided by 299?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - b**3 + 113*b - 113*b)*(3 - 3 + b**2 - 2*b**2 + 4*b**2 + 0*b**2 + (-b + 2*b - 3*b)*(-4*b + 5*b - 3*b)).\nAnswer: -7*b**5 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (12 - 901\/68)*4. Let c be ((-12)\/(-10))\/(2\/(-5)). Sort 5, h, c, 3.\nAnswer: h, c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 413311704?\nAnswer: 2, 3, 13, 1324717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 2*c - 137 = q, 2*c - 112 = q. Let a = -113 - q. Solve a*x + 1 = 8*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from qafayyafafaya?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*k*r*y**2 - 17*k*r*y - 9*k*r - 13*r*y**3 + y**4 wrt y?\nAnswer: -44*k*r - 78*r*y + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 times 81?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 2*n + 42. Let a = 23 + n. Suppose 0 = 3*z - 3*s - 33, -2*z = -4*z - s + 34. Calculate the remainder when a is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/4291 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -55715 * -0.07.\nAnswer: 3900.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -1898 - 13*q + 1898. What is the remainder when j(-8) is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -121*a + 4*a + 88*a. Let s(i) = 17*i**2. Give k(s(y)).\nAnswer: -493*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t - 14*t = -4. Let v = 11 - 9. Let h(c) = c**t + 9*c**2 + 0*c**2 - 6*c**v. Let a(f) = 3*f. Give a(h(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 + 6*p**2 + 3*p + 6. Let f be y(-5). What is the third derivative of 9 + 16 + f*m**3 - 25 + 78*m**2 wrt m?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 247570 and -0.261.\nAnswer: -64615.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + 28*m**2 + 79*m + 94. Determine q(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 4*z**2 + 2*z - 1. Let m be n(-1). Let g(i) = -1482 + i + 1482. Let o(u) = u + 1. Give m*o(c) + 2*g(c).\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (108\/(-16) + 0)*-24. Suppose -3*v + w = -0*v. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 0.3  (b) 18  (c) 2\/19  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (332*u - 351*u - 276*u - 422*u)*(0*u**4 - 2*u**4 + 4*u**4).\nAnswer: -1434*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 801735 is divided by 200432.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -6*r**3 + 82*r**2 - 20*r + 4. Calculate g(14).\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 10\/41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 629360586?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 10:11 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1213537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 23*h = 26*h - 20 - 22, 0 = 11*k - h - 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -16, 4*h - 3*q - 208 = -52. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -6*a - 1. Let h(y) = 52*y - 2. Calculate -3*h(o) - 24*l(o).\nAnswer: -12*o + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 13 + 81 - 17 + 384*z - 387*z - 38.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -44 - -50. Suppose -13 - 11 = s*t. What is the common denominator of 206\/36 + -4 + t and 17\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*q + 6*q + 5*q + 0*q - 2*q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/5 - 1098*p\/5 - 60388\/5.\nAnswer: -2*(p + 62)*(p + 487)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -6*(3 + sqrt(684)) + ((sqrt(114) - 2*(-1*sqrt(114) - sqrt(114)) - sqrt(114)) + sqrt(114))\/(-4*sqrt(18)\/sqrt(3)))**2.\nAnswer: 2533*sqrt(19)\/2 + 426443\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 2*k**2 - 8*k**4 + 5*k**4 - 4*k**4 in the form u*k**2 + v*k**3 + a*k + r*k**4 + w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 30*w - 458. Give c(16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 23536581\/2 + 3\/6. Suppose -1731709 - b = 5*x. What is x rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2767.487 days?\nAnswer: 3985181.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-4))\/(-2*(-27)\/180).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.47 + -0.37. Put p, -1, 4\/5 in descending order.\nAnswer: 4\/5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 53907595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 36, 76, 150, 270, 448, 696, 1026, 1450?\n\"Answer: 2*q**3 + 5*q**2 + 11*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24132, -48202, -72272, -96342?\nAnswer: -120412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(38\/(((-108)\/12)\/(-9)))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5 + 0 + -6 + 3. Suppose -5*t + 2*v = -2*v - 4, -3*v = b*t - 20. What is the highest common divisor of 10 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1261617307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 - -16. Let u be (-182)\/12 - (-90 + 81). Which is smaller: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 86 = -r, r = 2*h - 3*r - 92. Let p = h - 35. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 + j**2 + 2. Let k be n(0). Suppose -122 = -p + z, -k*p + 244 = -6*z + 3*z. List the prime factors of p.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-55)\/(-6) - 3*(-4)\/(-72). Suppose c + 7 = -q, -3*q - m = -2*c - c. Which is greater: c or -9\/16?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 * 36255\nAnswer: 833865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24501326*p**2 - 7048207*p wrt p.\nAnswer: -49002652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 1\/8167499 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1283, 1143, 737, -73, -1425, -3457, -6307, -10113?\n\"Answer: -23*c**3 + 5*c**2 + 6*c + 1295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**3 + 125601*c**2 - 1314320208*c - 6574741440.\nAnswer: -3*(c - 20936)**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111000101101011100011010 - -101?\nAnswer: 111000101101011100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-8)*(-1650)\/(-2310)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*i + 1725 + 1152. Let n = -132 - i. Solve 6 = 2*f - n*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174313109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 3:46 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 34333*d**3*p + 1895*d**2*p**3 - 264067052*p**3 wrt d?\nAnswer: 102999*d**2*p + 3790*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 513 + -81?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c. Let b(d) = 34*d - 2*d + 13 - 44*d**2 + 19. Let r(h) = -4*h**2 + 3*h + 3. Let t(m) = 3*b(m) - 32*r(m). Determine t(o(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of n + 1\/3*n**3 - 1\/4*n**4 - 2 - n**2. Give f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 6*h**2 + 5*h + 4. Let x = -1 - 4. Let p(n) = 7*n**2 + 6*n + 5. What is x*d(k) + 4*p(k)?\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 2 + sqrt(2) - sqrt(32)*-1)*6.\nAnswer: 24 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -412303041 (base 5) to base 10\nAnswer: -1681646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -894*c - 1581*c + 476 - 476 as j*c + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, 1\/2, -3, 1\/30?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(3\/8)\/q**(-6)*q**16*q**(2\/29) assuming q is positive.\nAnswer: q**(5207\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 + 6*f**2 + 4*f + 1. Let z be j(-5). Let m be (z\/15)\/(3\/(-15)). Is m\/6 - 56\/(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 36\/15 + -1*2. Suppose -8 = 4*i + 3*b - 0, -4*i - 5*b - 16 = 0. Which is bigger: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(84))\/sqrt(7))\/sqrt(6) + (sqrt(242) - (sqrt(242) - (4 + sqrt(242) + 1 + sqrt(242)))).\nAnswer: 5 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 13) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 141478985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -34\/5 or 171?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6969.\nAnswer: 3, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -33*d + 372 + 684. Solve 21 = d*k - 25*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -y**3 + 3*y**3 - y**3 - 9 + 9 - y**3 + (y - 4*y + 2*y)*(y + 2*y**2 - y) in the form g + q*y**3 + i*y**2 + l*y and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 5421.\nAnswer: 2\/5421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1537*p**3*q*t + 10*p**3*t + 137*p**3 - 4*p**2*q + 2*q*t with respect to q.\nAnswer: -1537*p**3*t - 4*p**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 219475016 minus 1321476?\nAnswer: 218153540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 108 + -546\/5. Let k = -17\/10 - i. Is 0.8 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/36 and -76\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-14)*61\/(-122)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of k**3\/3 + 19*k**2\/2 + 13*k - 38. Differentiate l(v) with respect to v.\nAnswer: 2*v + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 182071 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 - 6*d**2 + 8*d - 2. Give u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 3 - 3*j + 1 + 2*j**2 + 0*j**2 - 1. Let i(q) = -q**2 + q - 1. What is -g(o) - 3*i(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -24*u + 19*u + 159302, -2*u - 3*j + 63726 = 0. Is u a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + 5*q - 75. Suppose -6*g - q = -9*g. Suppose g = -2*k + b - 2*b, -3*k + 2*b + 10 = 0. Is k less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*v - 13. Suppose -v = 4*b + 5. Are b and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33775.\nAnswer: 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + (3 - 15) - -3. Let p = y + 13. Calculate the remainder when p is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12346 + 4?\nAnswer: 12353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12123524 at most 12123527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/((t\/(t\/t**(8\/7))*t)\/t))**(-14\/3)\/(t**(2\/5)*t*t*t)**21 assuming t is positive.\nAnswer: t**(-377\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**4\/3 - 752524*b**3 - 1274162348932*b**2\/3 - 1698874101632*b - 5096613274624\/3.\nAnswer: -(b + 2)**2*(b + 1128784)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 24061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -21*a**2. Let w = 53 - 39. Let k be 5\/2 - 7\/w. Let v(g) = -5*g**2. Calculate k*m(y) - 9*v(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -2*d + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**2 + 0*q**2 - q**2 + (1 + 2*q - 1)*(-2*q + 2*q - 2*q) + (-5 + 5 - 6*q)*(-2*q + 0*q + 0*q) - q**2 + 0*q**2 - q**2 + (-q + q - q)*(0*q + q + q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -121110*y**2 + 3*y - 1. Let b be (-2)\/(-2) + (-32)\/8. Let q be r(b). Round q to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -885 and 395.\nAnswer: -349575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -261 = 25*y - 38 + 2 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58856?\nAnswer: 2, 7, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.0172 + -0.9828. What is the nearest to a in 1\/3, -2, -0.092?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -615 + 628. Let r(i) = -i**2 - 18 - 21*i - 15 - q - 1 + 2. Calculate r(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g = -15378 + 15378. Find h, given that 10\/3*h**4 + 8\/3*h**2 - 2\/3*h**5 + 0*h + g - 16\/3*h**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 95\/4, 0, -0.3, -2, -1, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.7 and 49?\nAnswer: -377.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fiiiffiffeiffffiffi?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*i = 43*i - 63. Solve 3*l = -6 + i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25103043 to the power of 1\/2, to the nearest integer?\nAnswer: 5010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5156120133 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -8569, 10, -9.\nAnswer: -8569, -9, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 - 6*m - 9. Let q be o(-2). Let t(x) = 2*x**2 + 26*x + 40. Let k be t(-11). Sort 14, q, 2, k in descending order.\nAnswer: 14, 2, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/(-12)*3 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1 and 24238932935.\nAnswer: 24238932936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = 2*m - 1, 3*g - 11 + 4 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lyxnyyxyxnnyglynx. What is prob of sequence xn?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -769, -1363, -1955, -2551, -3157?\nAnswer: -3779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 34782*r**3 + 31410*r**2?\nAnswer: 208692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29592853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -81090, -81095, -81100, -81105?\nAnswer: -81110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -13*x - 1. Let a be f(-1). Let j(u) = 22*u**2 + 4*u - 2. Let b be j(1). Let d = b - a. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27218 - -27376. Solve 52*l = -27*l + u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -6*f + 1. Suppose -11*a = -6*a + 30. Let t = a - -7. Calculate j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 + 1. Let a(y) = y**2 + 4*y - 2. Give -a(m) - 3*j(m).\nAnswer: 2*m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(400)\/(sqrt(32)\/sqrt(4)) + -1*sqrt(200))\/((sqrt(10) - (sqrt(10) - 6*sqrt(50)\/sqrt(5))) + -3*sqrt(10)*3).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/8, -2\/15, -0.08, -0.4, 11, -3\/64?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 + 6*p - 61. Let g = 4621 - 4615. Determine b(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1982, 7405, 16264, 28559, 44290, 63457?\n\"Answer: 1718*l**2 + 269*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of -m**7\/126 + m**6\/15 - 3*m**5\/20 + m**4\/9 + 47*m - 10. Factor l(j).\nAnswer: -j**2*(j - 4)*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 155391320 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 11 + -6?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38402 + -3983. List the prime factors of l.\nAnswer: 3, 7, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in seventy-three quarters of a microgram?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*s - 13, -4*s = 4*u - 28. Suppose 3*j + 2*p + 6 = u*j, -2*p - 2 = 3*j. Solve k = -j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-27 - (23 - 32)) + (-4 - -13) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 0, -31, -112, -267, -520, -895, -1416?\n\"Answer: -4*l**3 - l**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2367?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -u**3 + 2*u - 103 + 69 + 2*u**2 + 47 in the form r*u + w*u**2 + y + n*u**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2187740 divided by -2\nAnswer: 1093870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 13*t**2 + 8*t + 21. Determine d(6).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33 - 7*r**2 + 5*r + 14*r**2 + 4*r**2 + 7.\nAnswer: 11*r**2 + 5*r + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 3 - 8 + l + 3 + 4. Let x be c(0). Suppose -9 = 3*h, -5*y - x*h = -y - 178. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -108 - -111. Suppose 3*u + 0*l = -t*l - 15, -4*u - 2*l = 18. List the prime factors of 2*-55*3*u\/6.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 5:12 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - (0 + 6\/(-22)). Suppose 0 = 2*w - 5 - 5, 0 = -5*l - 4*w + 40. Let a be -11 + l - -6 - (-2 - 2). Put j, a, 2 in decreasing order.\nAnswer: a, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -842*u + 1717*u - 842*u = 457 - 1843 for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 - -16. Let v = -0.14 - -0.34. Which is smaller: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - 4 + 4)*(1 + 0 + 1) + (1 + 4 - 3)*(-9*c - 3*c + 0*c).\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 0*h + 25 = 5*h, b - 4*h = -20. Suppose b*j - 4 = j, 0 = 5*o + 5*j - 280. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 - 2*g**2 + 4*g + 1. Let j(v) be the third derivative of -v**4\/24 - 5*v**2 - 12*v. What is -c(u) - 4*j(u)?\nAnswer: u**3 + 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - 3210?\nAnswer: -3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 1:42 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 12*d. Let u(a) = -6*a + 2. What is u(s(o))?\nAnswer: -72*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1251 or -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - ((63\/(-9) - -1) + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1385300?\nAnswer: 2, 5, 7, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**4 - 6*c**3 + 33*c**2 + 36*c - 108.\nAnswer: -3*(c - 2)**2*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxxxxxexx. What is prob of sequence xxx?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -4*m**5 - 42732*m**4 - 114105080*m**3 + 114575248*m**2 + 1141820448*m + 913182848 = 0?\nAnswer: -5342, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 2, 0, -2, 4 in decreasing order.\nAnswer: 4, 2, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-42)\/238)\/((-18)\/(-6)*-1)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -1580*i - 2347*i - 20828*i + 1219*i in the form y + h*i and give h.\nAnswer: -23536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 2*q - 3*q + 12, 4*v - 44 = 3*q. Let j(h) = 3*h + 15 - 7 + v - 2*h. Calculate j(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-9)\/(-3))\/(9\/114). Find the common denominator of (-9)\/6 - x\/12 and -34.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**3 - o**2 + o**2)*((-3 - 1 + 5)*(2 + 3 - 3) - 12 + 5 + 8).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6613.093 millimeters to centimeters.\nAnswer: 661.3093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-540)\/100 - (-30)\/5)\/((-974)\/140 - -7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4\/123571 - -1606455\/988568. Determine l, given that 23\/8*l + 1\/8*l**3 + 11\/8 + q*l**2 = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7584 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 39.742288 - 39.75. What is o rounded to four decimal places?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 - 125*l**2 + 281*l - 13131. Calculate g(-128).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -29397*x - 15. Suppose f - 26 = 4*h, 3 - 8 = h. Let l(w) = -w + 11. Let t be l(f). Let m be s(t). What is m rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**3 + 188514*t**2 - 1131165*t + 1696788.\nAnswer: 3*(t - 3)**2*(t + 62844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 78\/1679, 1\/3, 0, 1\/5, 1 in ascending order.\nAnswer: 0, 78\/1679, 1\/5, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-6)*(-1 + -1). Let g be y - 3\/((-3)\/(-62)). Is 3 a factor of (-4)\/(-18) - 238\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -750 - -755. Put o, -3\/5, 17, 2\/11 in decreasing order.\nAnswer: 17, o, 2\/11, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5410 = -5*w + 614*g - 124*g, 2*w + 47*g - 45*g = 4*w - 30 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -121*h - 1802. Let s be f(-17). Solve -24*l - 87 = -s for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 3\/5, 1.2, 2, -18, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 156 = 5*b, -2*b + 5*q - 56 = 3*q. Let w be b\/(-27) + (-2)\/(-9). What is the second biggest value in w, 2, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 12) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 l when three letters picked without replacement from coliiiloziogllzizloi.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -h + 3*a + 43, -h - 2*a = -51. What is the remainder when 89 is divided by h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1 - (((-8112)\/297)\/(-4) - 5) and -151\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 + 4*s)*(1 - 1 - 2*s**3) - 520*s**2 + 40*s**4 + 520*s**2)*(-s + 5*s - 6*s).\nAnswer: -64*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -605*j**5 - 8855*j**4 - 38135*j**3 + 6735*j**2 + 390600*j + 661500 = 0.\nAnswer: -5, -42\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.66 + -3.26. Which is the closest to o?  (a) -0.5  (b) -2\/19  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1606, -2916, -4226, -5536?\n\"Answer: -1310*o - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y + 2. What is x(12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 481 - 502 = -7*m. Solve 5*b - 5*l + 6 = -14, -4*b = -m*l + 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52f (base 16) to base 15.\nAnswer: 5d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -6 - 2*x**2 - 4*x**2 + 5*x**2 + 4*x. Let j(o) = o**2 - 4*o + 5. Calculate 6*j(v) + 5*t(v).\nAnswer: v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19 is divided by 60\/10*(-10)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1208 - -4?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (250\/75)\/((40\/12)\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 25209 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 40 = -9*o. Suppose -5*y + 2 = -h, 5*y + 10 = -3*h - 2*h. Let l be (y\/4)\/(-3) + 2. Solve 0 = -5*s + 5, 2*q - l*s + o = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4641 is divided by 323.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (-17 - -32) + (0 - 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.4 - 3.9. Let t = w - 0.7. Which is the nearest to 1\/6?  (a) 0.4  (b) -2\/11  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**5 + 6*c**5 - 4*c**5)*(2 - 1 - 2 + 0 + 3 - 1 - 1 + 1 + 3 + (1 - 2 - 1)*(2 - 1 + 0)).\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 106086, 38\/7, 3, 0.3 in increasing order.\nAnswer: 0.3, 3, 38\/7, 106086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = c - 24, 2*r = -2*c + 4*r. Let g be 6\/c - (-46)\/44. Is 3 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-4) + 530\/(-40). Let h = w - -19. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 minus -4944?\nAnswer: 4952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(243)*1 + sqrt(108)*-4 + -4)**2.\nAnswer: 624*sqrt(3) + 18268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p*p**1)**(-2\/13)*(p\/p**4*p)\/(p**(1\/2)*p) assuming p is positive.\nAnswer: p**(-107\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -416709 - -416760. Let x = 10 - 7. What is the remainder when f is divided by 103\/4 - x\/(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 120 and 110646920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 31163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 503693\/191310 + 3\/6377. Find the common denominator of v and 2 - (-109)\/20*-2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*n**3 + 4*n**3 - 5*n**3 + 21*n + 5*n**3 - 21*n + (9*n**3 + n**3 - 2*n**3)*(3 - 15 - 8).\nAnswer: -153*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1 from -73414.04.\nAnswer: -73414.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12967716 to the nearest integer?\nAnswer: 3601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -1\/4*p**2 + 1\/24*p**4 + 0 - 1\/40*p**5 + 1\/12*p**3 - 18*p. Factor y(g).\nAnswer: -(g - 1)**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 532423 + -0.009\nAnswer: 532422.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3718750 divided by 53125.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (39 - -3 - (91 + -109))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21 - -1012230313220?\nAnswer: 1012230313301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -2 + ((-2 + sqrt(3))**2 - sqrt(3)).\nAnswer: -5*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/78*20\/25 + (-34)\/221?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89258616 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.751 to 1 decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 4*s - 4*b = -128, -64 = -2*s - 5*b. Let k = s + -18. What is the remainder when 41 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.0221  (b) -3\/2  (c) 5  (d) -3  (e) 2\/7  (f) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4722 is divided by 1012?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/1 + (-6)\/3. Let g = 0 - y. What is the third derivative of -2*m**4 - m**2 + g*m**4 - m**4 wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 - 2*h + 1. Let s(b) = 264*b**2 - 8*b + 4. Calculate -4*j(p) + s(p).\nAnswer: 268*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -3111, 89, 64, 2\/3 in increasing order.\nAnswer: -3111, 2\/3, 64, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbphepibip. Give prob of picking 2 p and 2 i.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2*v**2 + 3*v**2 - 2*v**2 + 2*v - 2. Let y be m(2). Let h = 0 - -0.1. Which is the closest to h?  (a) y  (b) -3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 97, 86, 63, 22, -43, -138, -269, -442?\n\"Answer: -w**3 - 4*w + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 430736?\nAnswer: 2, 26921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4, m: 10}. What is prob of sequence zmzz?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 16\/(-6)*1305\/60. Let p = 212 - g. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2+-4275064098774\nAnswer: -4275064098776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 6*y - 69. Let w = -20 + y. Let f be w + (4 - 3) - -5. Let r(t) = -t**3 + 8*t**2 + 10*t + 2. What is r(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 292 (base 10) to base 7\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -5*d**2 + 1054*d + 17195. What is o(226)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 - -34. Let k(y) = -y**3 - 8*y**2 + 5*y + 153. Calculate the remainder when k(-7) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 - 3. Let o be b(-5). Let d be o\/6 - (-2)\/6. What is the derivative of -189*q**d + 1 + 1 + 197*q**4 wrt q?\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 428  (b) -1  (c) -3  (d) -0.1  (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -56 in 0, -1, 9.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 35 = -5*d, -5*c + 9*d - 1 = 5*d. Let v(g) = 3*g - 3. Determine v(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 378 - 378 - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 3:56 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*l**2*z - 13*l**2 - l + 27*z**4 wrt z.\nAnswer: -3*l**2 + 108*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + 3*d + 0*d)*(-6 + 6*d - 5*d - 6*d).\nAnswer: -10*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8bb1 + -56?\nAnswer: 8b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 + 4*v + 3. Let j be r(5). Let x be (-346)\/14 + j\/7. Let g = 0 - x. Solve 4*k + 16 = -4*s, -4*k - g = -9*k + 4*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 112 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = h - 2, 7*q - 5*q = -2*h + 10. Solve -h = -a - 5*l, -7*a - 13 = -13*a + 5*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -3*t + 333. What is the least common multiple of 12 and d(-71)?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(1*sqrt(133) + sqrt(133)) - sqrt(133))\/((sqrt(56)*1)\/sqrt(8)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 22*z + 7. Let v be 35\/14*16\/10. Suppose -4*b + 9*b = -v*q + 14, 0 = -5*q + 5*b + 40. Is c(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -350033.4514 minus 32?\nAnswer: -350065.4514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001101111 + 10000?\nAnswer: -1001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 20\/5*(3 - 1). Suppose p*z + 80 = 12*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + s + s**5 + (3*s**2 + 0*s**2 - 2*s**2)*(-2*s**3 + 1 - 1) - 26*s**5 - 44*s**5 + 24*s**5)*(-3 + 1 + 1).\nAnswer: 47*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2464380 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (48\/504)\/((-15)\/21)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.242651 decades to millennia.\nAnswer: 0.05242651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/y**3)\/y*y\/y**(-7\/5))\/(y\/(y*y**(-1)))**(3\/38))\/((y*y**(1\/9)*y*y**(3\/2)*y)\/(y**(2\/9)\/(y**(1\/3)\/y*y))) assuming y is positive.\nAnswer: y**(-4618\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 295673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z + 11*z**5 - 2*z**3 - 15*z**4 - 5*z + 15*z**2 + 7*z**3 - 6*z**5.\nAnswer: 5*z*(z - 2)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**15*d*d*d**(-18)\/d assuming d is positive.\nAnswer: d**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 10*j. Let d(p) = -15*p. Let f(m) = -5*d(m) - 8*o(m). Let n(b) = b - 2*b - b. Let u(a) = 3*a. Let i(y) = 7*n(y) + 5*u(y). Give f(i(r)).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(90)*-1 - sqrt(90))\/sqrt(6))\/(((sqrt(18) + sqrt(18)*-1)*-4 + sqrt(18))\/sqrt(6)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24262602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2472*b**2*p**3 + b*p**3 - 2*b*p + p**3 + 2*p**2 wrt b?\nAnswer: 4944*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15488 is divided by 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15853?\nAnswer: 83, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -446*y + 44330. List the prime factors of z(0).\nAnswer: 2, 5, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 w, 1 c, and 1 n when four letters picked without replacement from {n: 4, l: 3, b: 4, w: 2, c: 1, p: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 33 + -42. Let v = k + 11. Suppose -v*j + 5*b = j - 285, -b + 87 = j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 306238?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 516 and 1376?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 2)*(10*q**5 - 4412 + 4412) - 4*q**5 + 6*q**5 - 5*q**5.\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*i**2 - 8*i**2 + 8*i**2 as h*i + q*i**2 + v and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 150, -4574, -9.\nAnswer: -4574, -14, -9, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3096 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -308 - -669. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 284298750 to the power of 1\/3, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of -2 + 0*z + 11*z**2 - 1\/45*z**4 + 1\/450*z**5 + 1\/15*z**3. Factor d(q).\nAnswer: 2*(q - 3)*(q - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-4 - (-8 - 8)) + 838 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) + (-1 + sqrt(175) + sqrt(175))*6)**2 + (sqrt(175) - ((sqrt(175) + sqrt(175) + -1)**2 + 2)).\nAnswer: -755*sqrt(7) + 28908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/4)\/(2284 + -2281). Let -8*h + 4*h**2 - r*h**3 + 0 = 0. Calculate h.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 4*a - 231 + 55 = 42*z, 0 = 4*z + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2. Let m(o) be the first derivative of -o**2\/2 - 37*o + 1066. Calculate m(q(w)).\nAnswer: -w**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -68*h**4 + 0*h**3 + 16*h**4 + h**2 + 0*h**3 + 2*h**4 + 2*h in the form t + q*h**3 + r*h + o*h**4 + l*h**2 and give o.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of -7*a**5\/60 - a**4\/24 - a**3\/3 - 18173*a**2. Let x = 8 - 19. Let m(l) = 13*l**2 + 2*l + 4. Calculate x*v(d) - 6*m(d).\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (7 - -12 - 10) - 11 - -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of z**4\/6 + z**3\/2 + z. Let a = 3 - 5. Let i(h) = h**2 + h. What is a*t(f) + 6*i(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1827\/2 + -909. Suppose 0 = -19*l + 34*l - 60. Let -u**2 + 9\/2*u**3 - 1 + 2*u**l - m*u = 0. Calculate u.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.48 + 0.0441.\nAnswer: 0.5241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 234*h**3 + 10 - 11.\nAnswer: 234*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-28)\/(-63))\/(14\/63)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -10*x + 5. Is 10 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/258062 and -11\/6009158?\nAnswer: 42064106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q + 10572257524 - 10572257524.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.0568808 millilitres?\nAnswer: 0.0000568808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 1. Let u be (-12)\/(-10)*(-25)\/10. Sort q, u, -5 in decreasing order.\nAnswer: q, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1473746431 to the power of 1\/2, to the nearest integer?\nAnswer: 38389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*i**2 - 55*i**2 + 22*i**2 + 52*i**4 + 53*i**4 - 105*i**2 wrt i.\nAnswer: 2520*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -64*r**2 + 8*r - 10. Let o(u) = -193*u**2 + 23*u - 28. Let j(l) = 11*b(l) - 4*o(l). Is j(2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1173473 to the power of 1\/2, to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5151)\/505 - (1 + 12\/(-10)). Put 7, -2, t, -4 in descending order.\nAnswer: 7, -2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 36 - -7?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 132, 258, 384?\n\"Answer: 126*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (55\/132)\/((-60)\/324)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6656 is divided by 3322.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67910512.\nAnswer: 2, 17, 249671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13.0627*0.7.\nAnswer: 9.14389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 2*o = -176, 28 = 3*g - 2*o - 68. Let v be 2\/10 - 224\/(-80). Factor s**2 - g + 34 - s**v.\nAnswer: -s**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00077954809 rounded to 7 dps?\nAnswer: 0.0007795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 - 3*v + 1. Let h be l(2). Let w be ((-2)\/h)\/(-1) - -4. Solve 5*j**w + j**3 - 2*j**3 - 4 - 2*j**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 78 - 75. Suppose -2*f + 155 = q*w, -5*w - 4*f + 13 = -248. 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 closest to -1?  (a) 1\/5  (b) -1  (c) 20  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, 2, -2, 0.4, -19, -5, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 20 - (3 - 3)\/(-2). Let k = -11 + m. Solve k = 2*b + i - 0*i, 3*b + 6 = 5*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -1878628?\nAnswer: -3\/1878628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**4 - 12600*c**3 - 37818*c**2 - 37824*c - 12609.\nAnswer: 3*(c - 4203)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -591 - 412 - 230*g**2 - 195 + 857 wrt g?\nAnswer: -460*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 4, 555244, -5, 0, -43 in decreasing order.\nAnswer: 555244, 4, 1, 0, -2, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 104391?\nAnswer: -41756.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 22*s**2 + 3*s + 1. Calculate the least common multiple of u(-1) and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1185 and 2607.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v**2 + 218 - 44*v + 45*v + 71 + 2*v**3 - v**4 + 38 in the form k*v + n*v**4 + c*v**3 + x + d*v**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 530647284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-c - c - 5*c)*(-2*c + 0 + 0) + 4*c - 4*c + 3*c**2 as n + l*c**2 + m*c and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -75 + 80. Let f(i) = -4*i - 25. Let d be f(-6). Sort k, d, -7.\nAnswer: -7, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 133*m - 1696. Let q be l(13). Solve 17*z = q*z + 32 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 + 16*p**2 - 36*p - 10. Suppose -215 = 6*r + 175. Let l = 78 + r. Let x be u(l). Calculate the highest common factor of x and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 16798, 24.\nAnswer: 3, 24, 16798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -213302410 - -10?\nAnswer: -213302400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20313 + 21233?\nAnswer: 42101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-126355)\/10245)\/((-2)\/6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1685 + 1679. Suppose 3*k = 4*k + 1. Let p be k\/(15\/q + 2). Which is the closest to 0.1?  (a) 4  (b) -2\/3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 23*g**2 - g + 1. Suppose 2*i + i = 0. Suppose i*w = -w + 1. Is t(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87703.07 litres to millilitres.\nAnswer: 87703070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11098\/5 - -2210. Let l = 177\/20 + z. What is the closest to 1\/2 in 0.3, l, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -5*g - 21. List the prime factors of i(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 18*k**2 + 5. Let d(u) = 25 + 283 - 302 + 17*u**2. What is 5*d(x) - 6*r(x)?\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of 2*d**3\/3 - 13*d**2\/2 + d - 148. Let r be p(6). Let w(m) = 5*m - 4. Calculate w(r).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2919 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*v - 49*v = -161*v + 4799465. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 6*o = p + 30, o - 5*p + 2 = 0. Let t = o + -6. Solve 2*b + 12 = 2*k, -3*b - 20 = t*k - 6*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of 0 + 2*i**3 - 24*i**2 + 57\/20*i**5 - 5*i + 7\/20*i**6 + 15\/2*i**4. Factor j(v).\nAnswer: 3*(v + 2)**3*(7*v - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (143*q**2 + 10 - 10)*(-q**2 + 2*q - 2*q + 0*q**2 + 0*q**2 + q**2 + (-3*q - q + 2*q)*(-q + q + q)).\nAnswer: -286*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(1*sqrt(208))\/sqrt(4))\/((1*sqrt(768))\/sqrt(12)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**4 - 1 + 1)*(-11068 - 13902 + 4826).\nAnswer: -20144*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1884, -1928, -1970, -2010, -2048, -2084, -2118?\nAnswer: -2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24 and 149511252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 o when three letters picked without replacement from kkoxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-435)\/(-75))\/29 - 32\/210.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5.1 * 9\nAnswer: 45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of -1\/4*s**4 - 2*s + 0*s**2 + 0*s**3 + 0. Let h(u) be the first derivative of -u**3\/3 + 1. What is h(v(d))?\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**3 - 344*s**2 - 15130*s - 28900 = 0 for s.\nAnswer: -85, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4855024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 15*u. Let s be r(3). Suppose -4*y = 2*c - 10, 8*c = 4*y + 3*c - s. Solve b = -4*i - 16, -5*b - y*i - 4 - 31 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 9, d: 2, e: 1, g: 4, p: 1}. What is prob of sequence egx?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(1944\/(-12))*-4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 2:20 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zgzp when four letters picked without replacement from gpzggggzgggggggzzz.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 10011101111010010010010 (base 2) in base 13?\nAnswer: 10c22b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -280*r**3 + 14*r**2 - 6*r - 17. Is k(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*a - 406 = 13*a + 5*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of 3\/2*a**3 + 0 + 3\/4*a**4 + 1\/20*a**5 - 9\/2*a**2 + 6*a. What are the prime factors of y(-7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2918635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 5*h + 3782071 + 1376304 = 0, k + 2*h = 1719457. Suppose 0 = 4*f - k - 15960535. Round f to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 66 and -3741164.\nAnswer: -3741098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 PM and 3:17 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -25*m**5 - 330*m**4 + 35*m**3 + 1320*m**2 + 260*m = 0.\nAnswer: -13, -2, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -6 + 8 + -1 + (-56)\/27 and -10\/63?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (81*t**3 - 42*t**3 - 34 - 40*t**3)*(36 - 50 + 112 + 496 + 268).\nAnswer: -862*t**3 - 29308","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**13)**(-2\/45)*g**(-2\/27)\/g**(-2\/3) assuming g is positive.\nAnswer: g**(2\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -96138 divided by 4578\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-39 + (-5202)\/(-136))\/(3\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 979 a factor of 2029088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -6. Which is the closest to t?  (a) 0  (b) -0.4  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -6 - -23 - (0 - 1). Let i be (-2080)\/((y\/500)\/9). What is i rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -27*x + 291. Determine z(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 5*t**3. Let n be x(1). Suppose -i + n*i = 72. What is the remainder when i is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is 1924821 to the power of 1\/2, to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -71*y - 139. What is the remainder when j(-8) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*i**2 - 56*i**2 - 38*i**2 + 261*i**2 - 55*i**2 - 63*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 2*z + t - 215, -495 = -5*z + t. Suppose 0 = 3*k + 5*r + 6, 2*r + 2 = -5*k + 11. Suppose -k*h + z = h. Is 25 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 124 and 454708.\nAnswer: 454708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 905\/7 - (-6)\/(-21). Suppose c = 5*a - 56. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of u**4 - 377*u**2 - 241?\nAnswer: 4*u**3 - 754*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = -5*r - 15, 14*r - 9*r - n - 3 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m + 0*m + 4*m)*(239*m**2 - 406 + 406) - m**2 - 2*m**3 + m**2 to the form c*m**2 + u*m + p + n*m**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b = -6*b + 5*w - 21, 2*b + 3*w - 9 = 0. Suppose 2*z + 72 = 4*z. Calculate the highest common divisor of b and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of o**6\/180 + o**3 - o**2\/2 + 53*o. Let h(p) be the second derivative of f(p). Let w(d) = 239*d**2. Determine h(w(k)).\nAnswer: 114242*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 103*c*d*i**3 - 352*c*d*i - 2*c*i**2 + d*i - 7*d - 18*i**3 - 100*i**2 - 2 wrt i.\nAnswer: 618*c*d*i - 4*c - 108*i - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -56, 5, 4, -1, -39, -5.\nAnswer: -56, -39, -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4391909673 to the nearest integer?\nAnswer: 66271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 - 14*a**2 + 19*a + 29. Let n be b(-15). Let f = -28 - n. Suppose -v + 4 = 9. What is the biggest value in -2, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -1 + 655\/262*(-52)\/(-5)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -198*h**3 - 18572*h**2 + 18578*h**2 + 995*h**3 - 22*h wrt h.\nAnswer: 4782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 4602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k - 11. Let n be b(14). Is n\/9 + (-9)\/(27\/(-260)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (-26 - (-35776)\/1120)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9006.191 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 + j - 3. Let k be q(0). Which is the nearest to -1\/4?  (a) -4  (b) -0.5  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1671666 and -74860102.\nAnswer: -76531768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 286668*3 - (-1 - (-10 - -5)). What is s rounded to the nearest ten thousand?\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 63\/147 + (-54)\/(-21). Let q(m) be the second derivative of 0*m**r + 1\/42*m**7 + 0*m**2 + 0*m**4 + 0 + 1\/20*m**5 + m - 1\/15*m**6. Solve q(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/(-6) - (88\/(-12) + -1). Suppose -z + 28 = l. Suppose -y = -4*y + z. Solve -r + 4*b - 6 = y, 4*b = -3*r - 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1147*t**3 + 571*t**3 + 577*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of -1\/20*h**4 + 4\/5*h - 1\/5*h**3 + 0*h**2 + 11. Suppose g(y) = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + -2 + 0 + 4 + sqrt(7)*3.\nAnswer: 2 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.2056 - -2.2044797. What is y rounded to five decimal places?\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvkho.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (-9 + 5 - -10)) + 2 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/53 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000571781 rounded to seven decimal places?\nAnswer: 0.0000572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -40.9425 rounded to 1 decimal place?\nAnswer: -40.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*o + 1724961 = -2168165 + 514694. Round o to the nearest 1000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3*r**2 - 25*r + 125. Let z be s(10). What is the second derivative of -167*u**4 + z*u - 70*u - 33*u wrt u?\nAnswer: -2004*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-31629)\/(-143) + 2\/(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209) + -5*-2*sqrt(209) + sqrt(209) - 1*(sqrt(209) - sqrt(209)*-2))\/(sqrt(132)\/(-1*sqrt(108))) + -1)**2.\nAnswer: 54*sqrt(19) + 13852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - 2.15. Let m = -0.024 + h. Let k = -0.16 - m. Round k to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-2 + sqrt(637) + 4 - (sqrt(637)*-3 + -4)) + 3)**2.\nAnswer: 2520*sqrt(13) + 91953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (1 - -2) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 606, 2639, 6028, 10773, 16874?\n\"Answer: 678*g**2 - g - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i - 5. Let m(n) = -413*n**2 - n - 5. Let p(v) = -c(v) + m(v). Let x(g) = 0 + 0 + 3*g - g. Determine p(x(u)).\nAnswer: -1652*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**2 + i - 2. Let u(n) = n**2 + 5*n - 2. Let h be u(-5). Let o be k(h). Find the first derivative of -4*r + 4*r - 4*r**3 - o wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8558 plus -5166028624?\nAnswer: -5166020066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -6*s + 1. Let o be 3\/1 - 4\/(-2). Suppose z - m + o = 0, 5 = m + 2. List the prime factors of k(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -292891428 divided by 1?\nAnswer: -292891428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*w - 7 + 67. Is w\/20 + (-391)\/(-2) - 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 359521061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -10692 divided by -22.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 285*m - 90 wrt m?\nAnswer: 285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**11\/v)\/(v**(-4\/3)*v)*(v**(-1\/3))**42 assuming v is positive.\nAnswer: v**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 8, 2*l - 6*l - 5*c + 16 = 0. Let d = -250\/119 - 163374\/1309. Let a = 127 + d. Are l and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -446959150 by 10.\nAnswer: -44695915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2777591376 to the power of 1\/2, to the nearest integer?\nAnswer: 52703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -12*c - 358. What is h(-21)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003998 to 5 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1067.3178 times -12.5\nAnswer: 13341.4725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 - 3*d - 13. Let b = -14 + 6. Let f be ((-6)\/b)\/(4\/32). What is the units digit of a(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -74 + 2?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 3806 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 + 11*r + 12. Is 24 a factor of k(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b**3 + 14808*b - 29491*b + 14683*b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.05*273247.76\nAnswer: 13662.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.02, 2\/2717, 3, -0.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -777 + 7\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4522 and -119.\nAnswer: -538118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((0 + 69)\/((-1635)\/218))\/((-6)\/15)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003623 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 69, 151, 259, 405, 601, 859?\nAnswer: 1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02366 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 212618, 425238, 637854, 850466, 1063074, 1275678, 1488278?\nAnswer: 1700874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of -z**3\/6 + 3*z. Let o(s) be the first derivative of 0*s + 4 + 7\/2*s**2. Determine o(u(c)).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 23436051.\nAnswer: 234360510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 0, -7, 3 in decreasing order.\nAnswer: 3, 0, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)*3 + sqrt(19) + -1 + sqrt(171) + sqrt(171).\nAnswer: -1 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of 9*l**4\/8 - 11*l**3 + 4*l**2 - 10*l. What is the hundreds digit of q(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 107290 + -9784?\nAnswer: 97506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 17440216 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + -9871396?\nAnswer: -9871400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 669239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 129 - 643\/5. Let d = 8089 - 8087. Solve 32\/5 + 16\/5*r + v*r**d = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*d**3 - 17*d**3 + 5*d**3 - 33)*(2 + 3 - 3).\nAnswer: -4*d**3 - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-7) - (-38)\/14. Suppose 12 = -d*y - 18. Let o be 28\/y*(-5 - 0). Calculate the greatest common factor of o and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 25 = 0, -o - 3*t - 496 + 5102 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 33 = 3*p. Suppose p = -4*c + 75. What is the remainder when 93 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -37*i - 2220. Let b be m(-60). Solve b = 33*w - 56*w - 92 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = 15*o - 29*o. Solve 5*p = o*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16293667?\nAnswer: 13, 17, 73727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.123  (b) -0.1  (c) 2  (d) -1\/395\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.5  (b) -1  (c) 2\/7  (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 142 = -3*r - 0*r, -2*l - 4*r + 314 = 0. Calculate the remainder when l is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2619 >= 2619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 7*m = 3*l - 6, -3*l = 4*m + 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -8779257 < -8779244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 times 0.0163?\nAnswer: -0.001467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 - -2. Suppose 2*c - l - 13 = 0. Suppose 3*b - f = c, 6 = b - f - 3. Solve a = b*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 + 4*l**2 + 4*l - 16. Let z be d(3). Suppose -19569 = -3*s - z*u, -2481 = -s - 2*u + 4042. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1*15 + -1 + -2 + 1 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 846590143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-692)\/(-3))\/((-204)\/306). Sort -5, p, -4 in descending order.\nAnswer: -4, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 215906\/(-1344) - 0 - 3\/9. Let g = 2283\/14 + u. What is the common denominator of -89\/18 and g?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26, -68, -76, 4, 226, 644, 1312?\nAnswer: 2284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -105.86 - -104. Let z = s + -0.14. Sort z, -0.02, 1\/2 in descending order.\nAnswer: 1\/2, -0.02, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -3*t**2 - 12*t + 96 = 0?\nAnswer: -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (10 - (5 + 4) - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 84727701 divided by 10503?\nAnswer: 8067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 57 - 57.0073. Let r = -0.013 + g. Round r to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/(-20) + 30\/8. Let p = -10 + 5. Let y = 3 + p. Sort -4, y, g in decreasing order.\nAnswer: g, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4211006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*t**4 - 132*t**3 + 2904*t**2 - 21296*t = 0. What is t?\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1605907 to the power of 1\/2, to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = -9 - 15 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11592 + -11592.2. Let s(v) = v**3 - 6*v**2 + 2. Let b be s(6). Let u be (b\/(2 + -4))\/1. What is the nearest to u in -0.9, 5, g?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - -58107083?\nAnswer: 58107078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -12a03 + -983?\nAnswer: -13786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*i - 4*i - 6*i = 0. Let u be 80\/(-30)*(-3 + i). Let z(r) = 2*r - 16. Calculate z(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*o**3 + 2*o**3 - 4*o**3 + (19 - 3 - 12)*(o**3 + 4*o**3 + 2*o**3 + (0*o - 4*o - o)*(o**2 + 5*o**2 - 4*o**2)).\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 PM and 6:38 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by 334.\nAnswer: 9\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0381 + -0.4619. What is the third smallest value in 2, 0, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17.8 - -24. Let s = o - 2.2. What is the third smallest value in s, 0, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000851173 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -12799*i - 156. Is m(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -52*w + 102*w - 62*w. Let d be 4\/16 + (-2)\/8. Factor 0*s**3 + w*s + 0*s**2 + d - 4\/15*s**4 - 2\/15*s**5.\nAnswer: -2*s**4*(s + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/3 - -1. Let r(m) = -m + 4. Let t be r(3). What is the closest to t in v, -2, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 943824 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of 41.33 and -1746354067.\nAnswer: -1746354025.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 24  (b) -0.03  (c) -159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 16 = 23. Suppose -h = -2, -2*d - 3*h + 1 = -v. Solve 0*u - 20 = d*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of 43*l**4\/4 + 2*l. Let c(f) = -241*f**2 + 469*f**2 - 230*f**2. Calculate g(c(t)).\nAnswer: 516*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100*m + 5*x - 40 = 96*m, -2*m + 95*x = 760 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - c - 7, 3*l - 12 = -3*c - 3. Solve q - 23 = 5*d + l*q, -5*d = -3*q + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + 5)\/((-7)\/4 - 15\/60).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -53*d*v**5 - d*v - 14*v**4 + v + 162 wrt v?\nAnswer: -1060*d*v**3 - 168*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -1\/3 + 2\/3*x - 1\/3*x**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 3 - (6 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 - 17. Let l = -6 - v. Let h = l + 6. Sort 0.2, h, 0.1 in decreasing order.\nAnswer: h, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {v: 2, w: 2, h: 9, q: 3, b: 1, x: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z**2\/2 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -258 * 0.23.\nAnswer: -59.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (12 - 18 - 26)*(b**2 + b**2 + 2*b + 2*b) in the form p*b + j*b**2 + q and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9854376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 PM and 6:36 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 8 = -o + 4*i, 3*o - 4 = -2*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -21298 times 0.8?\nAnswer: -17038.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -3*n - 90. Let b be w(-32). Suppose -105 = -9*g - b*g. Solve 0 = 2*l - g*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/(((-2)\/6)\/1). Let d be 5 + c - 2\/2. Solve 4*k = -d - 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -109, -243, -431, -673, -969?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*b + 3*b - b. Suppose b = t - 36 - 43. List the prime factors of t.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 635*x - 21313 + 79098 for x.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 203 and 567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5349648 is divided by 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together 64.768711 and 2623502.\nAnswer: 2623566.768711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*m - 2*q = 45*m + 7, 5*m + q + 20 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of -o**5\/60 - o**4\/8 + 4*o**3\/3 - o**2. Let f be a(-6). What is the units digit of (-2)\/(-5) + (-46)\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.008 + 3.008. Let c = 81\/292 + -2\/73. Sort c, -1\/9, a.\nAnswer: -1\/9, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 4*p + 108. Let r(a) = a + 27. Let g(v) = -2*f(v) + 9*r(v). Let y be g(-23). Suppose -44 = y*j - 15*j. Solve -6 + 2 = j*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u and 1 e when four letters picked without replacement from {e: 2, t: 5, u: 12}?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 2*r - 3*z - 18, 3*z = -12. Let q be r*12\/(-8) - -4. Solve -s - 3*v = q, -s - 1 + 2 = 2*v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*s - s - 6*s + (4*s - 3*s - 2*s)*(3 - 1 - 1) - 6*s - 2*s + 2*s + (1 - 1 + 1)*(s - s + 2*s) as r + z*s and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 4251, 17033, 38329, 68133, 106439, 153241?\n\"Answer: -g**3 + 4263*g**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88 = -4*m - 2*t, t - 84 = -5*m + 29. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qgqqlglqlqqq. What is prob of sequence lqlq?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5624937?\nAnswer: 3, 181, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -64, -85, -90, -73, -28, 51?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 137 - 137.071. Let i = j - 0.029. What is the biggest value in -3, -0.8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2258 divide 115519302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 740.6445 litres?\nAnswer: 740644.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55136\/(-5169)*(-6)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y - 14. Let g be (-8)\/(-2) - 6\/2. Let u be (g - 2) + -3 - 10. Let k be d(u). Which is smaller: k or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3023.522g?\nAnswer: 3.023522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (-162 - (85 - 173))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32 + -31.9. What is the closest to -2 in 0.4, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/426012 and -37\/917.\nAnswer: 2982084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -209 - -214. Solve n - a + x = 0, -3*a + 5*a - 15 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-10)*4*(-15)\/48?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 165 - 165 + 9*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the first derivative of -s**4\/4 + 4*s**3\/3 + s**2 - 2*s + 2. Let w be j(4). Solve -5*p = -2*p + w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of 5*a**5\/78 + 127*a**4\/156 + 10*a**3\/39 + 39*a**2 + 3. Factor v(j).\nAnswer: 2*(j + 5)*(25*j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3722124 or 3722125?\nAnswer: 3722124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -576 + 576 - 16*l + 2*l**2.\nAnswer: 2*l**2 - 16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3893 - -3865. Sort 1, 0, 2, j in descending order.\nAnswer: 2, 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1657 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 + -9)*24\/(-32). Let s be 322\/69 - 10\/w. Suppose -l = -0*l + s*x - 25, 0 = -l + 3*x + 7. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rofrwwfor. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 15 = -p, -2*p - 2*p + 21 = -3*z. Let n(g) = 2*g - p*g + 0*g + 1. Calculate n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72219851?\nAnswer: 11, 71, 89, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of -97*t**2 + 0*t + 2\/7*t**3 - 1\/210*t**5 - 1\/840*t**6 + 11\/168*t**4 + 0. Let n(b) = 0. What is b?\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -16\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28926892?\nAnswer: 2, 19, 257, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of 13*d**4\/54 - 5*d**3\/9 + 2*d**2\/9 + 7*d + 3. Let a(m) be the first derivative of v(m). Factor a(c).\nAnswer: 2*(c - 1)*(13*c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 321553130 - -0.45\nAnswer: 321553130.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5 and 3190?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*g - 3*l - 90, -l + 1843 - 2005 = 5*g for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 16*l - 876 = 0. Let f be (4 + 0)\/(-4)*-5. Suppose f*g = n - l, 2*g - 73 = -n - 2*g. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-15)*(-5)\/(-3))\/((-32)\/264).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8 + -8 - (1 + -5). Solve 2*o - 22 + 8 = -c*y, 4*y - 11 = -3*o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 999 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 63 - ((-116403)\/(-276))\/7.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -27*u**5 + 549*u**4 - 2433*u**3 - 1809*u**2 - 312*u = 0.\nAnswer: -1\/3, 0, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50455153?\nAnswer: 7, 1029697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138870 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 5*y + 4. Let j(t) = 4*t + 3. Let b(n) = -4*j(n) + 3*s(n). Let d(i) = i**2. Give d(b(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, -6, 4, -57 in increasing order.\nAnswer: -57, -6, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*(w\/(w**(-4)\/w))\/w)\/w*w**(1\/5)*(w**(-2)\/w)**19 assuming w is positive.\nAnswer: w**(-259\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 275*b**2 + 301*b**2 - 360*b**2.\nAnswer: 216*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.463 + 0.363. What is the second smallest value in 4, -2\/9, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 5*b + 1052 = -5*w, -w - 1380 = -4*b. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11475 divided by 3825?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109*p - 106*p - 104*p - 44*p - 105*p - 105*p + 557*p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.7 + 1.3. Let u = -165\/2 + 1163\/14. Is h at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 84 and 63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 7:23 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = 3*l + 20, -545*c - 11*l = -547*c + 65 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/3191 or 0?\nAnswer: 2\/3191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1690 and 4790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -5*x + 4*r + 17, 4*x + 4*r = -32. Let z(y) be the second derivative of -10*y**3\/3 - 3*y**2 + 22*y - 4. Is z(x) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 31\/2 of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 28 + 300 = 0. Let p = -133 + x. Calculate the smallest common multiple of p and 17.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - z - 0*z - 9, -5*q = z + 21. Let w(y) = 5*y**3 + 4*y**2 - 2*y. Let n(u) = 3*u**3 + 2*u**2 - u. Give q*w(s) + 7*n(s).\nAnswer: s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 4*f**2 - 6*f + 2. Let s be k(5). Suppose 0 = -5*h - 3*w + 86, 0 = 2*h + h - 5*w - s. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of -2*v**6\/3 - v**4\/4 + 18*v**2 + 67. What is the second derivative of g(b) wrt b?\nAnswer: -80*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 0.3  (b) 0.079  (c) -19\/4  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8.65 + -0.75. Let g = -0.008 - -17.808. Let o = g + w. Round o to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 352163747 a multiple of 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2\/2 - 33\/(-22)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3501\/(-12))\/((-6)\/16)?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*p - 888 - 1197 = -84*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -368614402\/5 or -73722881?\nAnswer: -73722881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*w**3 - w**3 - w**3)*(3*w - 4*w - w) + 2*w**4 - 4*w**4 + 3*w**4 - 3*w + 3*w - w**4 - w**4 + w**4 + w**4)*(6 - 9*w - 6).\nAnswer: 27*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 50*c**2 - 2*c - 1. Let a(q) = -151*q**2 + 6*q + 3. What is 4*a(n) + 11*o(n)?\nAnswer: -54*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ohho when four letters picked without replacement from {o: 3, h: 12}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 199 + -178. Suppose -k*l = -13 - 71. Solve o - 2 = 4*s, -5*s - 8 = -l*o - 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 + -13. Sort b, -9, -4 in decreasing order.\nAnswer: b, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 52228 - 52272 = 2*z, -4*z - 68 = 4*j for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/11*r**2 + 5\/11 + 6\/11*r = 0. What is r?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 608636 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -22742830 divided by 137005?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(-6) - 84\/(-36). Suppose 5*n = r*m - 77, -4*m + 0*m + 101 = -5*n. Solve 2*f + 11 = 3*l, f - 4*l = 3*f - m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/h**8))\/h**(-1\/7)*h*h**3*(h**(-9\/7)\/h)\/h assuming h is positive.\nAnswer: h**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 287726277 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y + 1. Let h(p) = 5*p + 3. Calculate 3*h(r) - 7*m(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 154.62 - 153.62. What is the second biggest value in 5, -2\/9, n, 22, -2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3677, -12824, -27933, -48998, -76013, -108972?\n\"Answer: m**3 - 2987*m**2 - 193*m - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -374 = -3*x + 5*m, m - 193 = 3*x - 551. Suppose 0 = 110*n - x*n - 112000. Round n to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -162, 493, 2316, 5889, 11794?\nAnswer: 20613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 6*x + 6. Let a(m) = -2*m**3 - 4*m**2 - 4*m - 2. Let b be a(x). Solve 2*d = 4*c + b*d + 32, -4*c - 3*d = 29 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -3  (c) 0.062437\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 2)*(0*n + 4*n - 5*n)*(131*n - 69*n - 60*n + 6*n**2).\nAnswer: -6*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -5*k**3 + 2*k + 8. Let g be ((-18)\/(-18))\/(-1*1\/235). Let h = -227 - g. Let f(b) = -3*b**3 + b + 5. What is h*f(v) - 5*n(v)?\nAnswer: v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -4*l + 2. Let u(d) = 32*d - 425. Let a be u(13). Calculate c(a).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -2) + (-8 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49376?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -2) + -1 - (4 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (7 + -1)*2\/4. Suppose 2*l = w*l - 86. Calculate the remainder when l is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -4*y**3 + 2*y**2 + 2*y. Let r be c(-2). Let z = r - 18. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*u + 10184 = -21892. Suppose -u*s + 724*s + 45 = 0. Is s at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -290 + 311 = 3*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + 31. Suppose -10*y = -6*y - 12. Suppose -41 = -5*r + y*l, -3*l + 34 - 5 = 2*r. What is the remainder when z is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/6 and (-555)\/(-174) + (-3)\/(12\/8)?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 + 2 - 5)*(-2*x + 0*x + 0*x) + x + 2*x - 4*x)*(-3*x + 4*x + 3*x).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 58 - 288\/5. Which is bigger: y or 3.9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 178138 divided by 178138\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -2*h. Let f = 13 + -4. Let i = f - 5. Let y(x) = 3*x**2 + 2 + 2 - i. Calculate k(y(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - s - 4 = 0. Let h = 11.4 - 3. Let a = 8.9 - h. What is the nearest to 0 in a, 2, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 963 + -909. Is 23 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qaaq when four letters picked without replacement from {q: 11, a: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -7*l**2 - 6*l - 3. Let s(h) = -6*h**2 - 5*h - 2. Let n(a) = 4*g(a) - 5*s(a). Let f be n(-2). Solve -2*o = 3*x + 4, 1 = f*x + 5*o - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 + 16*o - 11. Let d be r(17). Let i = 22 + d. Let m(f) = f**2 + 6*f - 1. Calculate m(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 16*b**2 - 9*b - 14. Is m(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2\/11 - 9340*l\/11 - 28002\/11.\nAnswer: -2*(l + 3)*(l + 4667)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 79643.29 centuries in years?\nAnswer: 7964329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23700153?\nAnswer: 3, 211, 37441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 + 8 - -7) + 7 + -1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9761760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 + -16. Solve d*n - 2*n = 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 157733072 and 3774.\nAnswer: 473199216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is three sixteenths of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 5*v - 2*v = -2, 4 = x - v. Suppose -4*p + 24 = 4*r, -3*r - 15 = -6*r. Suppose -p = x*q - 11. Solve -3*i + 5*i = -3*g + 9, 5*g = i + q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/((-10)\/96))\/((-45)\/(195\/(-13)))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.151691492 to 3 decimal places.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 139 - -3. Let d = -0.1962 + 147.8962. Let i = l - d. What is i rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 - 5*n**2 - 3*n + 4. Let w be x(-4). Suppose -f + w*f - 4732392 = 0. Let s = f - -9332392. Round s to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -233 - -185.4. Let v = l + 39. Let p = v - -8.5. Which is the third smallest value?  (a) 0.4  (b) p  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -108 (base 10) to base 2.\nAnswer: -1101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-9)\/(648\/12) + 55\/6. Sort n, -4, -5 in increasing order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z**3 + 0*z**3 - 2*z**3)*(-z + 3*z - 3*z + 1 - 1 + z + (-1 + 1 - 2*z)*(-2 + 3 - 2) + 3*z - 5*z + z).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78103*j + 5*t + 9 = -78102*j, 163 = -13*j - 5*t for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 29920791629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 3*q + 16 = 0, -5*q + 35 = 3*o + 7. Let d = -9\/700 + -977\/32900. Which is greater: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, s: 7}. What is prob of sequence ssss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4.8 in 2\/9, 0.1, 0.09?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -20336 and -20352 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/9, 0.2, -0.05, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**(10\/7)*o))\/(o**2\/o)*(o\/o**(2\/39))\/o**0 assuming o is positive.\nAnswer: o**(-404\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 3989583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -780135, -1560268, -2340401, -3120534, -3900667, -4680800?\nAnswer: -5460933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ltii when four letters picked without replacement from iiiltiill?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of 0*c + 0*c**4 - 1\/30*c**5 + 0*c**3 + 0 + 9*c**2. Let l(f) = 15*f**2. What is l(d(u))?\nAnswer: 60*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -54 * 3.34\nAnswer: -180.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1001\/15336?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62684*j + 1900 = 62704*j. Solve -95 + j = -10*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4658*0.2169.\nAnswer: -0.10103202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 4, 0.02, -19?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 122938.\nAnswer: 2, 61469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 12 = -4*s, 67*r = 69*r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -9*c**2 - 229*c - 125. Let b be z(-25). Is -25 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 50461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -21, -50, -99, -168, -257?\n\"Answer: -10*u**2 + u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -98 + 7*v - 3*v + 112. Let q be o(-3). Let g(b) = 2*b**2 - 4. Let l(i) = -i - 1. Calculate q*l(f) - g(f).\nAnswer: -2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.3158 from 0.2255672027.\nAnswer: -0.0902327973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 352 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1713 - -2934. Is 33 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23291 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -15325108 divided by 528452?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2995*b*l*u**2 + 3*b*l - b*u + 13887*b - 2*l*u + 618*l - 18*u**2 wrt l.\nAnswer: -2995*b*u**2 + 3*b - 2*u + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4e8 - 65?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*d - 2*x = -57*d - 24, -5*x + 46 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 362 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {j: 3, h: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 69\/19 or 4?\nAnswer: 69\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 501 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 1:57 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 252*z**3 + 2*z**2 - 2. Let l(r) = 1261*r**3 + 11*r**2 - 11. What is -22*h(m) + 4*l(m)?\nAnswer: -500*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -18*v + 14. Let s(y) = -4 + 12*y - 9 - 2 + 6. Let d(q) = -5*b(q) - 7*s(q). What is the tens digit of d(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3459533 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: Solve 6*d + 24 = 1739*w - 1745*w, 0 = -5*w + 3*d - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3201940837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -60286 - -60290. Let c = -1 - -2. Solve 0 = o - w + c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**3 - 11*k**2 - 12*k + 5. Let u be w(12). Let t be 190\/u*(-1 + 3). Suppose -z + t = 3*h, -471 + 146 = -5*z - 4*h. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 281\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -903, -1795, -2659, -3489, -4279, -5023?\n\"Answer: b**3 + 8*b**2 - 923*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*x**2 + 2101*x + 292*x**3 - 1051*x - 1049*x in the form k*x**2 + h + s*x + f*x**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 + 3)*(-3*h**5 + 5*h**5 + 1 - 3*h**4 + h**4).\nAnswer: 12*h**5 - 12*h**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 21*z - 1. What is w(-1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -853 + 4151?\nAnswer: 3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(2\/3)\/r**6*(r*r*r\/r**1*r)**(-8) assuming r is positive.\nAnswer: r**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1178 + -1179. What is the third smallest value in -4, o, -7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.96244*-4\nAnswer: 7.84976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-6 - 4115\/210) - (-68)\/714.\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -1456*d + 1452*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 + 15*l + 58. Let w be n(-10). Let u(i) = i - 5. Let t be u(w). Sort -4, t, 4 in descending order.\nAnswer: 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**3 - 4*a**2 + a. Let o = -198 - -202. Suppose o*b - 5*p - 40 = 0, 5*b - 6*p + 4*p = 33. Calculate the remainder when q(-3) is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*z - z - 3*z + 5*z in the form v*z + c and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219376 is divided by 493.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 64.676583 seconds?\nAnswer: 0.0179657175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 540 = 3*u + 3*z, -2*z = -u + 540. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -c*n - 596778697*c - 39742695*n with respect to n.\nAnswer: -c - 39742695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-44))\/(-5)*9\/(-126)*-14\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1944 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyv when three letters picked without replacement from {v: 1, y: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 10 = -2*y, 5*b + 7 + 12 = y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 2*p = 16. Let z = 1 + p. Suppose 6*h = h + z. Are h and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52394247013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 1)*(-4*v + 0*v + 2*v)*(-8*v**3 - 2*v**3 - 4*v**3).\nAnswer: -56*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/3?  (a) 0.1  (b) 0.5  (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47588690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 143946937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/d**(-25)))\/(d**18*d)*(d**(-7)*d)**(-47) assuming d is positive.\nAnswer: d**238","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -572134, -3, 5.\nAnswer: -572134, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g**2 + 7*g - 1. What is t(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*d**3\/11 - 34*d**2\/11 - 12*d\/11.\nAnswer: -2*d*(d + 2)*(7*d + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 2 w, and 1 s when four letters picked without replacement from mcmwsmlcmlccmwmw.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21\/(-105))\/(1\/(-40*2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 374 + -390. What is the closest to 0.2 in -1\/7, -2, j?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 104952771 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 2*sqrt(147)*-2*2 + -5.\nAnswer: -56*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8119537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(3 - (3 - 1)). What are the prime factors of ((-24)\/6 + s)*(-417)\/3?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -18*u**3 + 8*u**2 - 88*u - 125. Let d(i) = 10*i**3 - 3*i**2 + 44*i + 63. Let q(h) = 11*d(h) + 6*n(h). Factor q(w).\nAnswer: (w - 3)*(w + 1)*(2*w + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/40)\/(((-4)\/4)\/5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4738*y + 121909 = 268241 + 493298 for y.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/3)\/((-4)\/60). Find the third derivative of -11*s**2 - k*s**2 - 29*s**5 + 2*s**2 wrt s.\nAnswer: -1740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 151601 and 184771?\nAnswer: 33170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 819\/156 - 1\/4. Let x(n) = n - 1. Let v(i) = i - 1. Determine w*v(o) - 4*x(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - d - 2*d = -11, 4*a + 10 = -5*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**2\/2 - 19723685*o + 77804749995845\/2.\nAnswer: 5*(o - 3944737)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1145\/2 + 552. What is the common denominator of 1\/8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-21 + 21)\/(0 + -1). Suppose j + 2 = -4*h + 2*w, 0 = h - 5*w + 23. Solve 0 = -h*o - f + 1, f = -o - 2*f - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 966.1454l in millilitres?\nAnswer: 966145.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 - 91*n + 1531. Let s be m(21). Solve s - 64 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/35, 2\/5, 4, -20, 5.\nAnswer: -20, 2\/35, 2\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141*b + 12 = 145*b. List the prime factors of b\/(-2) + (-8)\/((-64)\/7060).\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6431239474 to the nearest integer?\nAnswer: 80195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*(b*b\/(b\/(b**(-2\/7)*b*b))*b)\/b)\/(b**(-6\/7)*b*b))\/(b*b\/(b**0*b))**(-33) assuming b is positive.\nAnswer: b**(249\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + 32*c**2 + 3841*c - 75. What is x(80)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 27\/((-729)\/36)*1\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-r + 3*r + 0*r)*(-1 + 4 - 2) + (3 - 4 + 2)*(2*r - 2 + 2))*(6 + 2 + 18).\nAnswer: 104*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 124  (b) 1  (c) 0.3  (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2431 and 894829.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1651.85 + -1652. Which is the closest to j?  (a) 2  (b) 0.01  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 5*g = -258, -63 = 4*d - g - 384. What is d rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 599377, 599374, 599371, 599368, 599365?\n\"Answer: -3*g + 599380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of 479*o**5\/60 - 13*o**4\/24 - 28*o**3\/3 - 7. Let k(d) be the third derivative of h(d). Is k(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 335 = -3*y. Let d be y\/(10\/6 - 2). List the prime factors of d\/9 + 2\/3.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.2  (b) 1071  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1084 and 1355.\nAnswer: 5420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 6439 = -3711. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(7) - 4*sqrt(7))*4 + (-5 + sqrt(35)\/sqrt(5))**2 + sqrt(7) + (sqrt(21) + (sqrt(21)*-2 - sqrt(21)))\/sqrt(3).\nAnswer: -23*sqrt(7) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -f + 3*v + 4, -5*v - 13 = 3*f. Let p(j) = j**2. Let l = 8841 + -8840. Calculate the least common multiple of l and p(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101100110111011110000100 - -100?\nAnswer: -101100110111011110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -2 + (1 + -3 - (-110 + 113)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -686\/9*f**5 + 2720\/9 - 217336\/9*f**3 + 128704\/9*f**2 + 39298\/3*f**4 - 10432\/3*f = 0.\nAnswer: 2\/7, 1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8372 divided by -4186.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 1 + 7 + -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/5 and -20\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/3*j**2 + 0*j + 0 + 1\/3*j**3.\nAnswer: j**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 98\/(-49) - (3 - -1)*-1. Solve m*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -221 - -256. Calculate the least common multiple of 15 and j.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-336)\/(-18) + -18 + (-14)\/(-6). Suppose -3*i + 7 - 1 = 0. Determine a, given that 1\/5*a**w + 0*a**i - 2\/5 - 3\/5*a = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + -10101101010?\nAnswer: -10101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -20 + o + 18 - 2*o + (0 + 0 - 2*o)*(4 - 1 - 1) + (0 - 3 + 1)*(-5*o + 5*o - o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -5057*p**2 - 114 + 18 + 96 - 524*p**2 in the form i*p + q + v*p**2 and give v.\nAnswer: -5581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 2 z when four letters picked without replacement from {x: 1, z: 5, p: 4, i: 1}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 3 - 6. Let z = i - -3. Let d be (1 - z)*(2 - -1). Solve 7 = 2*a - d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-4)\/(-18))\/((-78)\/117))\/((-6)\/630).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -137194 to the nearest 1000.\nAnswer: -137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6, 20, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 10*r. Let u be l(10). Suppose u*a + 4*a - 20 = 0. Let v(y) be the third derivative of y**5\/60 - y**4\/4 + y**3 + 23*y**2. What is v(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (43\/((-3225)\/90))\/(2\/(-1185)). Let d = l + -707. Solve 7 = v - 4*a, 2*a + 9 + 17 = -d*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/5)\/((-1)\/10). Suppose 0 = 3*d + u + 35, -u + 46 = -2*d + 4*u. Let k = a - d. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 4*k - 60 + 109 - 53. Suppose 4*f + 0*v + 106 = 2*v, 3*f - 3*v + 72 = 0. Let j = f + 26. Let y(b) = -9*b + 9. What is j*y(q) - 7*x(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 11 - 5 = 0. Let p = h + 1. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.1?  (a) -2\/3  (b) 4  (c) 0.4  (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 14*l - 3. Let k(d) = 41*d - 8. Let y(r) = -4*k(r) + 11*z(r). Is 9 a factor of y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29930063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.11, 3, 1, -0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r - 18. Let m be u(-14). Sort -2\/9, m, -5 in increasing order.\nAnswer: -5, m, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -1 - (-4 - (-5 - 5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 8 = -7*p, -21 = -5*d - 2*p. Suppose d*h = h + 16. Suppose 0 = -2*g + 3*g - 32. What is the highest common divisor of h and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 i when three letters picked without replacement from pnnnnpntnptpitp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38.7*0.2.\nAnswer: -7.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from avovytdt. Give prob of picking 1 a, 1 o, and 1 d.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -11021221022 (base 3) in base 9?\nAnswer: -137838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 416704.\nAnswer: 2, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20390071?\nAnswer: 13, 37, 42391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 942729 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*-2*-2 - sqrt(77))\/((sqrt(7) - 5*sqrt(7)*-1) + sqrt(7)).\nAnswer: 3*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14575*p**4 + 2*p**3 - 17*p**2 - 1661 wrt p?\nAnswer: -349800*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11886424 and 792?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(-15))\/((-154)\/18 - -8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 20*h**2 + 30*h - 141. Is p(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s*s*s**(2\/7))*s*s**(-6\/5)*s)\/(((s**(-13)*s)\/s)\/s*s*((s\/(s\/(s\/s**(6\/13)))*s*s)\/s)\/s) assuming s is positive.\nAnswer: s**(4994\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -3, -105.\nAnswer: -105, -3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m**2 + 4. Let i(w) = 3*w**2 + 5*w. Let r(v) = 3*v**2 + 4*v - 1. Let b(z) = -4*i(z) + 5*r(z). Determine -4*b(x) - 5*q(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a = -7*a - 20. Suppose a*g - 75 = 5*g. Suppose 4*k + 0*k = q + 9, -4*q - k = -g. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((5*(sqrt(99) + sqrt(99)*-3 - sqrt(99)) + sqrt(99)*1*3 + sqrt(99))\/(sqrt(180)\/(2*sqrt(605) - sqrt(5))))**2.\nAnswer: -586971\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 4, p: 2}. Give prob of sequence ffp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - q = -0*x, 2*q = 0. Suppose 5*k + 16 - 146 = x. Suppose -5*j + 24 = -k. Calculate the highest common factor of 70 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9591294 + -21172?\nAnswer: -9612466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.02, -3\/5, 12, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 AM and 11:33 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -1) + (13 + -64 - -32).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*3*((1 + sqrt(605) - sqrt(605))*4 - (sqrt(605) + 0 + sqrt(605))*-1)*3)**2.\nAnswer: 228096*sqrt(5) + 3157056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-12)\/(-21)*(4017\/6 + -1). Is m < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 131 - 130.9. Let j = 169\/420 + -15\/28. What is the second biggest value in -3\/8, j, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3269214, -0.14, 2\/23?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + 110101001?\nAnswer: 110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -2*k - 473, -4*k - 91 = 88*m - 89*m. Is m a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1154468?\nAnswer: 2, 7, 41231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 475160 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11026353?\nAnswer: 3, 13, 17, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 4*k - 4*g = -2584, 2*g = -3*k + 1943. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7 + -6337?\nAnswer: -6330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**2 - 4*b - 22. Let s be p(-5). Suppose 37*d + 847 = s*d. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r**2 + r**2 - r**2)*(2 - 2*r**2 - 2)*(4 + 0 - 3) - r**4 - r**4 - 2*r**4 + (-r**2 + 5*r**2 - r**2)*(r**2 + r**2 - 3*r**2).\nAnswer: -17*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 less than or equal to 5999\/5777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1241665 - 29?\nAnswer: 1241637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -50 divided by -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5863507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9)\/(0 - 1 - (-387)\/360). Let s be 1\/9*(-16)\/w*9. Let m = -0.1 - 0.1. Which is the second smallest value?  (a) 3\/2  (b) m  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/47 - -112\/423. Let j = -2662086543\/5105896 + 2\/638237. Let n = 521 + j. Which is the second biggest value?  (a) m  (b) n  (c) -4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 - 3. What is the units digit of 82\/x + 4\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 16*c + 3. Let x(g) = -17*g - 4. Calculate -3*q(t) - 2*x(t).\nAnswer: -14*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -39*((-4)\/(-6) - 1). Let c(k) = 3*k + 7. Let m be c(-5). Let f = u + m. Put -5, f, -2 in descending order.\nAnswer: f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 2*n = 0, -7*x + n = -3*x - 11. Let t(m) = m**3 + 5*m**2 + 2*m - 4. Let p be t(-3). What is the highest common factor of x and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + l - 129 = 0. Suppose 0 = -o + 5*b + 66, 4221*o + 88 = 4225*o + 2*b. What is the remainder when l is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 38*n + 40 = 39*n, 3*j + 4*n + 24 = 0. Let z be (8\/(-10))\/(4\/50). Let t = j - z. Let u(q) = -q**3 + q**2 + 3*q - 2. Calculate u(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95 - 2*c - 65*c**2 + 47*c**2 + c.\nAnswer: -18*c**2 - c + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4\/7 + -19\/21. Which is the closest to s?  (a) 38  (b) -2\/7  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 48*w**2 + 12*w + 27. What is the hundreds digit of d(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64608 divided by -4?\nAnswer: 16152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 85047633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 7}. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 218 (base 11) in base 16?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -309, -1.\nAnswer: -309, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -196\/69 - -907\/322. Let i be 1\/(-1 - 0)*-1. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -14*f + 122. Determine i(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 4*c + 22 = 0, -4*t - 2*c + 28 = -6*c. Let s(g) = -g**2 - 15*g - 47. Let h be s(-11). Let o be (4 + -8 - h)*(-5)\/1. Solve -t*j + 9 = -o*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4284483370 to the nearest integer?\nAnswer: 65456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 64 and 85880.\nAnswer: 687040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 7 = -5*z, 0*g = 4*z + 2*g - 6. Solve -8 + 0 = z*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -7*v - v + 2*v + v + 2. Let z = -45525 - -45515. Let g(t) = 16*t - 6. What is z*p(k) - 3*g(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 3857197.\nAnswer: 5\/3857197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 43 + -24. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*y + 458 - 857 + 471 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1279972*b**3*n*x**4 - 1401*b**3*x + 86*b*n*x**4 - 3355*b*x**2 - 6*n wrt x?\nAnswer: 30719328*b**3*n*x + 2064*b*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1993391 + 1993397 - 3986788 + 21*b**3.\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-24)\/(-7) - (-12)\/21. Suppose 6*r = 3*r - 4*w + 878, -i*r = -w - 1158. What is the units digit of 2\/(-6) + r\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 - 1 - (-10 + -13 + 8 + 21)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -396281\/147774 + -1\/6717. Let w = 42954839\/42268 + 4\/10567. Let b = w + -1017. What is the common denominator of g and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*z**6 - 15*z**6 + 37*z**6 - 17*z**6 - 5*z**5 - 45 - 3*z**2 + 9 wrt z?\nAnswer: -960*z**3 - 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1*(-3 - 0))\/1. Let g(q) be the first derivative of 1\/4*q**4 + 0*q + 1 - 1\/3*q**p + 0*q**2. Determine g(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 119417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 1\/333?\nAnswer: 1\/333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 9*a - 18. Let h be j(9). Let o = 321\/5 - h. Factor 2\/5*t**5 - 4\/5*t - o*t**3 + 2\/5*t**4 - 2*t**2 + 0.\nAnswer: 2*t*(t - 2)*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 AM and 4:00 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 26881661 to the power of 1\/2, to the nearest integer?\nAnswer: 5185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35 (base 10) to base 12.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*u, -4*u + 427 = 4*b - 7769. What are the prime factors of b?\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 1)*(-7 + 1 + 6 + 1600*q**4 + 178*q**4).\nAnswer: -3556*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*b**5\/5 - 132*b**4\/5 + 138*b**3\/5.\nAnswer: -6*b**3*(b - 1)*(b + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.27 - 0.817. What is b rounded to two decimal places?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m + 2*r - 21, -5*r + 4*r + 3 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of q**4\/4 + 4*q**3\/3 - q**2\/2 + 2*q + 6. What is the units digit of s(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of -k**4\/24 - k**3\/3 + 119*k**2. Calculate t(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + 3*q + q)*(0*q**2 - q**2 + 2*q**2)*(77 + 159 - 168).\nAnswer: 136*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2015*v + 2*v**3 - v**3 - 2014*v. Let w be n(1). Solve g = -5, 3*h - w*h = 5*g + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(243) - (-3 + sqrt(243))) + (1 + sqrt(3) + -2)**2.\nAnswer: -2*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0433252 + -0.0665.\nAnswer: -0.1098252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45.25 - -45.25. Sort -1\/6, 2\/7, -5, x, -0.1.\nAnswer: -5, -1\/6, -0.1, x, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 68454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 375 + -5e74b?\nAnswer: -5e3d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6477 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 25\/(-20)*(2 - 246) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-9)\/(4\/(-1*52))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + ((-13 - 2) + 17 - 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 AM and 2:39 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6984)\/48*4\/6. Let h = o + 181. What is the common denominator of (4\/(-52))\/((-8)\/h) and -13\/11?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -7*j + 57. Determine a(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31 = 6*y + 49 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 11261  (b) 0.3  (c) -0.1  (d) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3052?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -357488, -714969, -1072448, -1429925, -1787400, -2144873, -2502344?\n\"Answer: g**2 - 357484*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 5*f**2 + 53*f - 424. List the prime factors of h(-32).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -152920 rounded to the nearest one thousand?\nAnswer: -153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g**3 + 48*g - 46*g - 3 + 2 to the form k*g**3 + l + u*g + v*g**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -704647 + 704640.50021. Let r = -6.5 - h. What is r rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*f**2 + 122*f**2 - 163*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/3 + 4512\/288. Suppose -3*l + 0 = 2*n + 2, 0 = 2*n - 4*l - 12. Solve -t - n*t + f = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3069247.999988 + 3069242. Let s = -4.5 + -1.5. Let b = s - c. Round b to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 368, 1425, 3180, 5633, 8784, 12633, 17180?\n\"Answer: 349*v**2 + 10*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 + 3*m**2 - 2*m + 5. Let g be l(-4). Let x be 1\/g*(2 + -17). Suppose x*j + 2*n = 55, 6*j - 5*j + 1 = 2*n. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 70 and 1330.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1901, 3519, 5191, 6917, 8697?\nAnswer: 10531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4870526.\nAnswer: 2, 23, 113, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 - -6)\/2 - -1. Let j be 1 + (-1)\/m*-3. Solve h + 11 = 2*z + j, -9 = -4*h - z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/24633 and 57\/55108.\nAnswer: 59020668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k + 2. Let w(s) = 2*s + 2. Suppose -c - 2 = -2*c. Suppose 9 = c*a - 5*a. What is a*x(o) + 4*w(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2063054 greater than 2063055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) 13  (b) -0.1  (c) 10104\/131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3 - i + 3. Let z(m) = 36723 - 73445 + 2*m**2 - 5*m + 36722. Calculate 10*r(w) - 2*z(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 28 - 24. Suppose p*k = -16*k - 40. What are the prime factors of -4 + 2 + (11*15 - k)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*a - 32 - 232. Suppose -3*j + t - 5 + 81 = 0, 2*j - 2*t - 56 = 0. Calculate the smallest common multiple of j and a.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 4*q**2 - 207*q - 24. Determine v(52).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 274062 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 19 - (-1 - -4 - -6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3986 is divided by 440.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cejc. Give prob of picking 2 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vyvyvvyyvyyyyryr. What is prob of sequence yvr?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -591, -503, -415, -327?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*y - 18522 + 26*y + 18520 as j + g*y and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 352*u**3 - 5128*u**2 + 1 - 696*u**3 + 346*u**3.\nAnswer: 2*u**3 - 5128*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 6, -64148 in descending order.\nAnswer: 6, 4, -64148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(9) + sqrt(1575)\/sqrt(7))\/(sqrt(4356)\/sqrt(12) - sqrt(3)).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.6 and 41180210?\nAnswer: 65888336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3213 - -3247.914. Let b = 0.086 + d. Let t = b + -34.9999922. Round t to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -3*n - 87. Let j = n + 523\/6. What is the biggest value in -1, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1152 + -1.3948. Is c equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -43, -176, -391, -688, -1067, -1528, -2071?\n\"Answer: -41*d**2 - 10*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16491 is divided by 5492?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d + 9. Suppose 5*l - 63 = 5*f - 13, 0 = 5*f + 25. Suppose 0 = l*i, 5*u - i - i + 35 = 0. Let z be a(u). Solve -z*n + 12 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 67707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 3 - n - 3. Suppose -13 = -2*q - 5*f + 16, 3*q + 3*f = 39. Let l(z) = -8 + z + q - 4. What is i(l(p))?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 11*u - g - 25343, -20268 = -4*u + 4*g. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 126, 252, 378, 504?\n\"Answer: 126*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 843 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 29 - 14)*(a + 4*a - 3*a) + 2*a + 0*a + 0*a in the form d + u*a and give u.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 105914866*j**2 + 121738009*j wrt j.\nAnswer: 211829732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5883176 (base 11) in base 8?\nAnswer: 47125622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 387380, 387365, 387350, 387335, 387320, 387305?\n\"Answer: -15*d + 387395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, t: 1, m: 1, e: 2}. What is prob of sequence tq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (60\/50)\/(8\/((-240)\/(-18))). Solve -j = -h, -h + v = 2*j - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 - x + 1. Let t(i) = -19*i**3 + 3*i**2 - 3*i + 4. Give -3*b(o) + t(o).\nAnswer: -19*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -36 + 41. Let p = 21\/2 - 13. Which is greater: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.311 to one decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -358 * 1284\nAnswer: -459672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from bazzzzzzbaababzzazza.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 2*i + 8*i = -i, -2*l - 2*l - 59 = -7*i - 8 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of 0 + 0*u**2 + 0*u**4 - 1\/21*u**7 - 2*u + 0*u**3 + 1\/15*u**6 + 0*u**5. Find q, given that m(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of m**3\/3 - 13*m**2\/2 - 396*m. Let k(b) = 3*b**2. Calculate d(k(l)).\nAnswer: 6*l**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 329694.\nAnswer: 2, 3, 54949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + 27*k**2 - 36*k + 33. What is the remainder when c(-25) is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*j + 15, j - 2 + 4 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7083.7 plus -1.05?\nAnswer: 7082.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4596845, -9193695, -13790545, -18387395, -22984245, -27581095?\n\"Answer: -4596850*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*a = -k + 93 - 7, 23 - 31 = -a - k for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 16 = 2*d - 208, -112 = -d + 2*y. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 3 x when four letters picked without replacement from {u: 3, x: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/8008416 and 11\/8008416?\nAnswer: 8008416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**4 - 2*a - 6*a**4 + 5*a**4 + (0*a**3 + 0*a**3 + 3*a**3)*(-2*a - 4*a + a).\nAnswer: -16*a**4 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*o + 51*o - 164*o - 130*o - 254*o as f + m*o and give m.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -614, -1226, -1838, -2450, -3062, -3674?\nAnswer: -4286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 772686317.\nAnswer: 13, 59437409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 3)*(-5 - z**3 + 5 + z**3 - 3*z**3 + z**3 + 2*z**3 + 0*z**3 - z**3 + (2*z + 1 - 1)*(5*z**2 - 2*z**2 - z**2) + 0*z**3 + 3*z**3 - 2*z**3).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 + 1. Let y = 1 + 0. Let i be (-2)\/(1 + y) - 0. Let u(d) = -2 - 300*d**2 - 1 + 292*d**2. Calculate i*u(z) - 3*v(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1316 is divided by 333?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 23*j**2. Let g(n) = 20*n + 12. Let m(t) = 36*t + 27. Let p(w) = 9*g(w) - 4*m(w). Calculate p(c(i)).\nAnswer: 828*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 51, 47, -9\/11, 0.7.\nAnswer: -9\/11, 0.7, 47, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 AM and 6:48 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -4*h**3 - 3*h**2 + 59*h + 60. Let x be o(-1). Solve -5*s = -4*c + 31, 3*s = x*c - 29 + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*f + 9 = -33. What is the third derivative of -376 - 49*m**3 + 376 - 35*m**f wrt m?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -10658 + 10658 - 5*l. Let n(p) = -837*p - 21*p**2 + 837*p. What is n(y(j))?\nAnswer: -525*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 PM and 3:47 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -8*12\/(-48) + 0. Solve -4*f - 5 = -3*m - 9, -2*f = -z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61131452?\nAnswer: 2, 1373, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2633 is divided by 1110.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1 + 0.4. Let p = 28 + -26. Let s = 21 - 81\/4. Which is the closest to p?  (a) y  (b) s  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -113096 divided by -337?\nAnswer: 113096\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0844 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 50*s + 53*s = 74, -4*d = -s + 178. Find the common denominator of d and -13\/5614.\nAnswer: 5614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t**3 + 126*t**2 + 3969*t = 0. Calculate t.\nAnswer: -63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + 294?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 38 - 3. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 164198579 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -692 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 - (-405)\/10) + (-9)\/6. Let z(h) = -35*h**3 - h**2 - h. Let p be z(-1). Calculate the greatest common factor of u and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in -2, 14, 3\/4, 2\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 4*w - 9543327 = 0. Let d = w + -2558891. Round d to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 91*c**2 + 72*c**2)*(6*c - 6*c**2 - 11*c + 2*c**2).\nAnswer: 76*c**4 + 95*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 8. What is the third derivative of -m**5 - 4*m**5 - 3*m**5 + m**5 + m**j wrt m?\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14800.6 rounded to the nearest one hundred?\nAnswer: -14800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11220.\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (4521 + 529 + 62)*(2*w**4 - 2*w**4 + w**4) as l*w**4 + m*w + k*w**3 + x + u*w**2 and give l.\nAnswer: 5112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.14 + 0.44. Suppose 3*n - 2*n + 72 = 0. Let l = n + 362\/5. Which is the third smallest value?  (a) l  (b) p  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a century in decades?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lndbgcdb. What is prob of picking 1 l, 1 g, and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -325\/2183 + 4\/59. Is r at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 1 = 0, 7*u + 19 = 2*u - h. Let g(y) = 2*y**2 - 4 + 13 - 3*y**2 - 5*y. What is the remainder when g(u) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1154154 - 52?\nAnswer: -1154250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the third derivative of -x**4\/12 + 2*x**3\/3 - x**2. Let d(b) be the third derivative of -b**4\/24 + b**3\/3 + b**2 + 76*b. What is -9*d(o) + 4*k(o)?\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 812 + -313. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 41*d**4 - 3 + 2*d + 1 - 2*d**2 + 5*d**4 as c*d**4 + t + b*d + f*d**2 + r*d**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -717*k**4 - 2*k - 417 wrt k.\nAnswer: -2868*k**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -8\/7  (b) 9  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*q = -37*q + 50 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*f + 14*f - 13*f + (4 - 5 + 0)*(4*f - 4*f + 2*f) to v*f + d and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128*i + 40 = -136*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21974 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 22246161227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*z - 9*z + 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 8473 times -0.09\nAnswer: -762.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 + (-33 - (-5 - 14))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -2*y + 5*y. Is y at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1277513 to three decimal places.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**5\/3 - 55*b**4\/3 - 282*b**3 + 76316*b**2\/3 - 958232*b\/3 + 294272 = 0. Calculate b.\nAnswer: -38, 1, 22, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 58, 506, 1722, 4090, 7994, 13818?\n\"Answer: 64*z**3 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 4515.\nAnswer: -9030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 386.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 4*y + 20 = 0, -5*b + 19 = 4*y - 1. Put 564, b, -2 in increasing order.\nAnswer: -2, b, 564","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -92, 7, -730\/3 in descending order.\nAnswer: 7, 4, 0, -92, -730\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -928, -3461, -7628, -13453, -20960?\n\"Answer: -4*j**3 - 793*j**2 - 126*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, -4, -2, -0.09?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.8462854 and -5?\nAnswer: 4.231427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -7, -5, -91, -18122 in descending order.\nAnswer: -4, -5, -7, -91, -18122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 2*a = -3*u + 4, 0 = 4*u - 5*a - 10. Let t(b) be the first derivative of u*b**2 - 2\/15*b**3 - 1 + 2\/5*b. Factor t(z).\nAnswer: -2*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 + n - 11. Suppose -4*b - 3*h + 9 = 0, -2*h - 5 = 5*b - 18. Let p be l(b). Let i = p + 9. What is the highest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*f - 6 = 25*f. Suppose -f*z + 12*z - 310 = 0. Calculate the remainder when z is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 AM and 4:57 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -77*g**2 + g + 3. Calculate z(2).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -92*m**5 - 5*m**2 - 2*m + 2. Let h(o) = -o**5 - o**2 - o. Let n(u) = 5*h(u) - t(u). Find the second derivative of n(k) wrt k.\nAnswer: 1740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 + 4*l**2 + 3*l + 7. Let y be j(5). Let a = 0 - y. Solve 8 = -a*n - n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-17*40\/13260)\/(1\/3)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (1 - 8 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-50)\/7 + 464\/406.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2234 + 47525. Let z = -49759.080059 + m. Let s = 0.08 + z. Round s to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o + 1 + 3 + 0 - 2. Suppose -3*p + 5*p = 8. Let g be n(p). Solve 5*c + 1 = g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u + 3*u - 228 = 0. What is the remainder when 244 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 30.5 + -31. Let n = -3.96621 + -0.03379. Sort n, v, 2, 0 in increasing order.\nAnswer: n, v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -92 + 131. Let t = -38.9 + d. Let f = -4 + 3.94. What is the nearest to t in -4, 3\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 4 + 168382*m**3 + 1 + 170073*m**3.\nAnswer: 338455*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 921 is divided by 233.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 + 2*u - 3. Let g(a) be the first derivative of a**2\/2 - a + 1. Let w(c) = -3*g(c) - s(c). Give w(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 - 49 = -2*r. Let b(p) = 4*p**3 - 3*p**2 + 4*p - 2. Calculate b(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-2))\/(-7 + 44\/8). Solve 3*r - 3 = 3*s, 0*r + 4*r - l*s + 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3532203694 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 3*d + 4. Let j be w(5). Let k = 69 - j. Suppose 54 = 5*g - 5*h - 1, h - 49 = -5*g. Calculate the highest common factor of k and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -140053, -279520, -418987, -558454?\n\"Answer: -139467*f - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*q - 24*q - 16956 = 0. Suppose -q = -10*l + 4*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27906581 a multiple of 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -24*f + 6. Let p be z(1). Let b(o) = -o**2 - 16*o + 36. Let k be b(p). Suppose -2*q = 2*r - 18, 2*q + k*r - r = 27. Solve 0*u - 3*u = q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/2*4\/(-56)*-4\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 140 + -98. Suppose 0 = 10*t + 61 - 461. Suppose -t*n = -q*n. Solve 4*l = 2*k - 4*k - 10, -5*k + 4*l + 31 = n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + 1010111011011011101?\nAnswer: 1010111011011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 112 - 119. Let x be (p\/(-14))\/((-3)\/(-24)). Solve 0 = x*v + 6 + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 708854.1 tonnes to micrograms.\nAnswer: 708854100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -346, -333, -320, -307?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) + (sqrt(171) - 5*(sqrt(171)*1 - sqrt(171)) - sqrt(171)))\/(6*-2*sqrt(9)))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of -b**6\/30 + b**2\/2 - 4*b. What is the first derivative of f(m) wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/9 + 20567914*y\/9 - 41135836\/9.\nAnswer: 2*(y - 2)*(y + 10283959)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 549690 and 502.\nAnswer: 549690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*y - 174 + 102. What is the least common multiple of y and 43?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057)*1*-2)**2.\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2\/91 - 459\/182. Let g = -2\/1793 + -3576\/8965. Let p = 2.5 - 2. Sort 1.3, f, p, g.\nAnswer: f, g, p, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 138*r. Let z be p(2). Suppose 0 = 4*o - 4*n - z, -3*o + 214 = -4*n + 12. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-101*z + 16*z - 152*z)*(z**3 + 0*z**3 - 2*z**3)*(0*z + 2*z + 0*z) - 4*z + 2*z**5 + 4*z.\nAnswer: 476*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20311123 (base 4) to base 12.\nAnswer: 18b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211110 + 10121202120?\nAnswer: 10120221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/48 in 0, -2, 12, 632?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20 - 21. Let g be k\/(25\/60 + 2\/(-3)). Suppose -u - 3*u - 37200004 = g*s, -4*u - 37200001 = s. Round u to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*c - 129*c - 91*c + 2*c.\nAnswer: -237*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vkvv when four letters picked without replacement from {v: 13, k: 5}.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 - 8*t + 6. Let a be f(8). Suppose 4*m - 18 + a = 0. Solve m*s = -1 - 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62206 < 62207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*c - 5*c + 6*c)*(58 + 9 + 48 - 20) to r + k*c and give k.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -i*n*x**2 + 5*i*x**2 + 764*n*x + 39*x**2 + 1 wrt n.\nAnswer: -i*x**2 + 764*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011010011111110010 + -100?\nAnswer: 1011010011111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1340 divided by 5\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the second derivative of -m**3\/6 - 21*m - 1. Let u(n) = -2*n + 5. Give u(w(t)).\nAnswer: 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 326.5 to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 352 + -188. Suppose -u - 2*p + 101 = -0*u, 0 = 3*p - 6. Let a = w - u. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31 + 28. Let p = 2.3 - 2.4. What is the smallest value in 0, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -40*g**2 - 2 - 1764*g - 1506*g + 22*g**2 + 19*g**2 as z + u*g + v*g**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9665966?\nAnswer: 2, 79, 131, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -28 + 30. Let y be h - (45 + 2)*1. Let g be (184\/6)\/((-1)\/y). Round g to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 29*i**3 - 5*i**2 + 5*i + 5. Let w(c) = 595*c**3 - 102*c**2 + 102*c + 102. Calculate -102*u(q) + 5*w(q).\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -224, -95, 122, 427, 820, 1301?\nAnswer: 1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 250777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -26*a**3 + 12*a**2 + 45*a - 12. Give w(-5).\nAnswer: 3313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -848107 or -848108?\nAnswer: -848107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 2*p - 30, -2*i + p + 20 - 7 = 0. Suppose 2*n = 2*m - i, 2*n - 4*n - 3*m = -16. Suppose -60 = -2*k - n*k. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22760 and 3414?\nAnswer: 68280","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (2\/4)\/(3\/174)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 362*j + 2627 + 10598 - 4175 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 3 j when four letters picked without replacement from {e: 6, p: 1, i: 4, j: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -20*(4 + ((-43)\/2 - -5)). Let l = c - 252. Are l and -4\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 3:57 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 PM and 12:09 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 191*y + 35. Let a(k) = -102*k - 17. Give -7*a(o) - 4*x(o).\nAnswer: -50*o - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + 3. Let j = 0.064 + -0.724. Let w = j + -2.34. Which is the third biggest value?  (a) 1\/3  (b) 1  (c) w  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -0.4227331\nAnswer: -2.4227331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**3 - 19*k**2 + 11*k - 50. Determine o(4).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + s = -1, 2*s = -l - 2*l - 11. Suppose 2*z + 4 = -32. What is the units digit of (2\/l)\/(4\/z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 93744*g**2 - 15 - 48*g - 93740*g**2 + 59.\nAnswer: 4*(g - 11)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 5*m - 33 = -3*c, 5*c + m - 15 = 0. Suppose 71 - 10 = 5*u + w, -c*u + 2*w + 46 = 0. Let d = u - -1. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 + -16. Suppose 3*v - 136 = -x*b, -v - 5*b = v - 109. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 739947541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04905 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 119.5517044 and 0.57.\nAnswer: 120.1217044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -76 + 162. Let u be (-7)\/(-2)*(1 + -7). Let s = d + u. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 199126.\nAnswer: 2, 99563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1503531 or 1503529?\nAnswer: 1503531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*o**3 + 2*o**2 + 3*o - 4*o**3 - 3*o**3 + 2*o**3 to c + x*o + r*o**3 + a*o**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -36771818 less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21\/5 - -4. Suppose -3*c = 4 - 1. Which is smaller: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35255 (base 7) in base 13?\nAnswer: 4178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/1260 and 131\/1120?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 5 = -5*k. Put k, 4, -5 in increasing order.\nAnswer: -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 53 = -m + 520, 1138 = 2*m - 2*g. Suppose 6*h - 307 = 3*h + 4*y, m = 5*h + 4*y. Suppose -h = -7*o - 39. Solve o = -4*s - s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, j: 16}. Give prob of sequence jjjj.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 187525 and -0.05?\nAnswer: 187525.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -636*u + 2007 + 16437 = 0 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-42)\/(-14) - (1 + -1). Solve 0 = -4*t + u*l + 31, -t + 5*l + 24 = l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 5 + 2 = 3*s, 5*s = 4*l + 12. Suppose 4*k = -20, -q = -5*k + 4 - 27. Which is the closest to -1\/4?  (a) s  (b) q  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5277449631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -113 + 33. Is -3*(z\/6 + -3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6375407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.087 and 66.66462816.\nAnswer: 66.57762816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 138, 290, 442, 594, 746?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of -1\/4*b**4 + 1 + 2\/3*b**3 + 5*b - b**2. Let c(f) = f**3 - 2*f**2 + 2*f - 4. Give 5*c(p) + 4*t(p).\nAnswer: p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -333424 - -500?\nAnswer: -332524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 47694 and 1086?\nAnswer: 8632614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54 + 9\/(-6)*(-3024)\/(-2268).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-30 - (28 + -38))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 38, 35, 0, -4 in decreasing order.\nAnswer: 38, 35, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*n - 13*n = -2. Let a be (-17)\/n*(-14 - -12). Suppose a = -4*y + 113. What is the lowest common multiple of y and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/1)\/(-5 + 6). Let l be 1\/(-1*p\/(-4)). Factor -n + 1\/2*n**2 + 5\/2*n**l + 0 + 4*n**3.\nAnswer: n*(n + 1)**2*(5*n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 29*a = -94, 3*h - h - 4*a = 2*h + 4*h - 16 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1840000 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1179220353 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 973 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 5) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n**5\/7 - 2523*n**4\/7 - 5034*n**3\/7 + 6*n**2\/7 + 5037*n\/7 + 2517\/7 = 0 for n.\nAnswer: -839, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**2 - 1477*l**3 + 1475*l**3 - 5*l - 3*l - 9. What is the hundreds digit of n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3 + 45981*n**2 - 45984*n.\nAnswer: 3*n*(n - 1)*(n + 15328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - -51?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of -y**4\/12 + y**3\/6 + 7*y**2. Let z(t) = 3*t - 1. Let j(l) = -5*g(l) - 3*z(l). Let x(a) = a. Calculate j(i) - 2*x(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**2)**34\/((i\/(i*i*(i*(((i\/((i\/((i**(-4)\/i)\/i))\/i))\/i*i)\/i)\/i*i)\/i*i))\/(i\/i**(-10))))**(-2\/29) assuming i is positive.\nAnswer: i**(-150\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 - 4*r**2 + 10*r - 17. Give v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79 + 13 = -23*f - 43*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - 35\/5) + 10\/115?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1363377 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*p**4 + 20158647*p**3*q**2 - 608*p**2*q**2 - 3*p**2*q - 3*p*q**2 - 9*p wrt p.\nAnswer: 48*p + 120951882*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 44744 and 753032?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7993189*b + 39874520 wrt b?\nAnswer: 7993189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, -144, 117, -1 in decreasing order.\nAnswer: 117, 28, -1, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(150) + (sqrt(150)*-2 - sqrt(150) - sqrt(150)))*6)\/((sqrt(198)\/sqrt(216))\/sqrt(11)))**2.\nAnswer: 583200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r + 16. Suppose 3 = -4*y + 19. Suppose y + 7 = -s. Let i be t(s). Let n(c) = 6*c + 2. Let d(q) = 4*q + 1. Calculate i*n(p) - 7*d(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -120 - -12?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 2 + 0 - 28*r.\nAnswer: -28*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1.125591 months?\nAnswer: 0.09379925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 178413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 - 4*t**2 + 11*t + 1. What is the units digit of a(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3703300\/190 - 3\/57?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of 6783*f**5\/20 - 5*f**4\/12 - 533*f**2 + 4688*f. What is the third derivative of l(t) wrt t?\nAnswer: 40698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4329\/43 - -4657445\/46268. Find the common denominator of -79\/14 and b.\nAnswer: 7532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -14*v - 658. Determine t(-48).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 8 = -q. Let v(a) = a + 4. Let x be v(q). Suppose 3*f - 24 = x*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 170 divide 126820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/60 + (-1)\/(-6)*17021. Suppose -2*o + s + 2817 = 0, 2*o - w = -9*s + 6*s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, n: 8, h: 2, z: 7, b: 1}. Give prob of picking 1 b, 1 n, and 1 z.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.01 in 3, -0.5, 25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -201600*x**3 - 182*x**2 - 91*x + 1001. Let v(r) = -4480*r**3 - 4*r**2 - 2*r + 22. Calculate -6*d(a) + 273*v(a).\nAnswer: -13440*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -79*a + 144. Let h(u) = 13*u**2 - 3. What is p(h(v))?\nAnswer: -1027*v**2 + 381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8646?\nAnswer: 2, 3, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2053, 4125, 6197, 8269, 10341?\n\"Answer: 2072*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 698885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 194, 206, 216, 224, 230, 234, 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rell when four letters picked without replacement from rlekmlb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90*c + 90*c + 141976*c**2 - 141956*c**2.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1935*v**3\/2 - 116097*v**2\/4 + 217665*v + 675\/4.\nAnswer: 3*(v - 15)**2*(1290*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 6 - (1 + -3)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 40*t**2 - 12. Let q(b) = -16*b**2 + 5. Calculate 12*q(s) + 5*w(s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 218605.\nAnswer: 5, 43721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 8*l + 341*l + 1 to m + f*l and give f.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(1\/21)*(p\/(p\/(p\/(p**(6\/5)\/p*p))))\/p*(p**(-13)*p*p)\/p*p*p*(p\/((p\/p**(-3))\/p))\/p assuming p is positive.\nAnswer: p**(-1486\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 42314.35 millilitres in litres?\nAnswer: 42.31435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 383873 divided by 18.\nAnswer: 383873\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*t + 3*t + 4*t)*(-16765 + 16765 + 109*t - 18 + 8*t + 18 + (-4 + 4 + 2*t)*(1 - 1 - 2) + 3*t - 7*t + 2*t) to the form p*t**2 + m*t + u and give p.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 3, 0.1, 0, -584, 0.4 in increasing order.\nAnswer: -584, 0, 0.1, 2\/9, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + 4 + n - 2)*(-2 + 0 + 3)*(1 - 12 - 13).\nAnswer: -48*n - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -3*h**2 + 26*h + 26. What is the tens digit of d(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 10) + 49\/(98\/(-4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) + 0)*5)**2*-3.\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*i + 58*i = 16*i + 23*i - 3*z - 137, -4*i + 5*z + 233 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 117 divide 1521621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2912 divided by -4.\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1924050 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate f*j**3 - 2*f*j**2 - 203046*f - 23798266*j**3 with respect to f.\nAnswer: j**3 - 2*j**2 - 203046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8586.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3\/5 - 126*u**2\/5 + 4011*u\/5 - 7526\/5.\nAnswer: (u - 71)*(u - 53)*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*p = -2*l - 2*p + 23, 0 = l - 3*p - 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {q: 5, u: 15}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10326*h - 356 + 356 - 10327*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32\/88*(-935)\/20230.\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30 (base 5) to base 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/20*16\/56*4. Let n be 2\/(28\/10) + -1. What is the nearest to 1 in n, 1\/20, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -123, -227, -331, -435?\n\"Answer: -104*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2844.9 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 6.89 + 0.01\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*v = -10*v - 12, 4*v = -3*h + 18. Solve 0 = -h*p - 2*d + 12, 6*p - 5*d = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 11 + l - 11. Let s(m) be the third derivative of 0*m + 0*m**3 - 1\/6*m**4 + m**2 + 0. Calculate w(s(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*u - 2*u - 4*p, 5*p = -3*u - 1. Which is the closest to -2?  (a) u  (b) -3\/8  (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*p - 51 = -28*p. What is the greatest common factor of p and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 3*o + 5648 + 8285 = 0, -2*m + o = -5582. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*c**3 + 576546626511*c - 576546626511*c.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1840 in -1, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 1675\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = 3*c - 5*z + 54, 2*z = -5*c - 59. Let y = 37 - c. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0943 and 1.7319.\nAnswer: 0.16331817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 10) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*2*(sqrt(637)*2 + sqrt(637)) - ((0 + sqrt(637))*-3 + sqrt(637) + -1 + 0))*5)**2.\nAnswer: -5600*sqrt(13) + 4076825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11761\/20 + (-251)\/5020 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 27*z**5 - 238*z**4 + 238*z**4 + (-1 - 1 + 4)*(-2 + 2 + 2*z**5) - 4 + 4 - 3*z**5.\nAnswer: 28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1520*l**2 - 160*l**3 - 1517*l**2 - 554 + 75 - 215 wrt l.\nAnswer: -480*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of 0*a - 29\/84*a**8 + 0*a**7 + 0*a**6 + 32 + 0*a**4 - 7\/6*a**5 + 0*a**3 + a**2. What is the third derivative of s(m) wrt m?\nAnswer: -6960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118641 at most 118641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 2*p + 6 = 0. Let j = p - 6. Let n be 8\/280 - 3\/5. What is the biggest value in 4, j, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33.1*0.220494.\nAnswer: 7.2983514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*r*v**3*z - r*x**2*z + 2*v**3*x**2 - 2*v**3*z - v**2*x - 3*v*x**2 + 3*v*x*z + 139*x**2*z wrt x.\nAnswer: -2*r*z + 4*v**3 - 6*v + 278*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/(h**(-30)\/h))\/h*h**(-12\/7)\/h)\/(h**4\/(h*h\/h**(3\/43))) assuming h is positive.\nAnswer: h**(8192\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 530*2\/(8 - 10). Let o = l - -532. Solve -o*i = -4*i - 4*a - 14, 3*a + 12 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100010100001001101110011 (base 2) to base 12\nAnswer: 30447ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2*m = -0 - 8, -m = 4*n + 6. Sort n, 3, -5 in increasing order.\nAnswer: -5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15338\/277 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/6 and (-5 + 49)*1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 10 = 2*b, -5*b + 0*r = -2*r - 10. Let d = 5 - 3. Suppose -d*m = 9 - 21. Solve b = 3*w - 5*w + m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, 60, 92, 122, 144, 152, 140, 102?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -5*i - 52. Let k = -32 + 13. Let j = 14 + k. Which is the third smallest value?  (a) j  (b) i  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 2*g - 4, n - 4*g = -0*n + 8. Let k = 12599 + -12594. Solve -k*q = -5 - n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5 - (-1 + 4\/2). Let g = d - -9. Let t(k) = k**2 - 9*k - 10. Let p be t(11). Solve 0*z = g*c + 3*z - 12, 2*c = 2*z + p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*i**2\/4 + 2265987*i\/2 - 1510659\/4.\nAnswer: 3*(i + 503553)*(3*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -34 bigger than -776\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - -6 - (5 - 1). Solve -4*y + 3*i = -15, -2*i + i - 5 = -x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 4 = 0, 3*i - 9 = 4*x + 10. Let b(d) be the third derivative of 1\/40*d**6 + 0*d + 0 + 0*d**4 + d**3 - 2*d**2 + 0*d**i. Differentiate b(r) wrt r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 816 a factor of 925233190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6780951889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 + 66\/21)*1. What is the nearest to 0 in o, -5, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 7, l: 9}. Give prob of picking 1 l and 1 x.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*j**3 + 6*j**3 - 12*j**3)*(18 - 3 - 16 + 28*j) in the form w + z*j**4 + c*j**3 + i*j**2 + u*j and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000396981356 rounded to seven dps?\nAnswer: -0.000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 10230412 (base 6) to base 3\nAnswer: 120012212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2956814 - 1714186 = 15*g. What is g rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w. Let n(o) = -o**3 + 4*o + 5. Let h be n(-2). Let b(g) = -g**2 - 2*g - 1. Calculate h*i(d) - b(d).\nAnswer: d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3 + 24*a**2 + 18*a - 324.\nAnswer: 2*(a - 3)*(a + 6)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12 or -11177193?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 798798 divided by -49\nAnswer: -16302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b, 1 z, and 1 t when four letters picked without replacement from {q: 1, z: 3, l: 3, b: 3, t: 3, s: 2}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*r**3\/5 - 47*r**2\/5 + 3*r\/5 = 0 for r.\nAnswer: -3, 0, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-3))**36 assuming v is positive.\nAnswer: v**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.09  (b) -39204  (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 121 divide -363*(-2 + 12\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 323 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -1\/7*o - 2\/7 + 1\/7*o**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/7)\/j*j\/((j\/j**(1\/18))\/j)*j**(-2\/7)*(j\/j**(-1\/14))\/j)**20 assuming j is positive.\nAnswer: j**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2147.\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -77425100 rounded to the nearest 100000?\nAnswer: -77400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 125 - 120. Find the second derivative of h*q - 19*q + 47*q**5 - 5*q - 167*q**5 + 8 + 5*q wrt q.\nAnswer: -2400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*a)*(15 - 15 + 7*a**3).\nAnswer: -14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25167, 50601, 76035?\nAnswer: 101469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 PM and 8:25 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/12?  (a) -0.056  (b) -3  (c) 2  (d) 4  (e) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b**2 - b. Let k(t) be the first derivative of 5*t**3\/3 + t**2 + 9. Determine -4*k(s) - 9*o(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 62799622?\nAnswer: 1\/62799622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48*b**2 - 20*b**2 + 40*b**2)*(7 + 0 - 26).\nAnswer: -1292*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - 221220212?\nAnswer: -221220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -4*s**3 - 39*s**2 + 58*s + 2. Determine j(-11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)*5*3 - (sqrt(208)*1 + (1 + sqrt(52))**2).\nAnswer: -53 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39491 or -39464?\nAnswer: -39491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of c**7\/840 + c**6\/720 - c**4\/4 - c. Let m(o) be the third derivative of i(o). What is the second derivative of m(p) wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of 1\/6*g**3 + 0*g + 2*g**2 - 12. Let x(w) = 2*w + 4. What is 4*i(z) - x(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_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: Find p, given that 2*p**4 - 3530*p**3 - 233864*p**2 - 453592*p = 0.\nAnswer: -62, -2, 0, 1829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-87)\/55 + -2 + 1. Let t = -9\/11 + i. Calculate the common denominator of t and -31\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2025 - 1947.61. Let y = -78 + d. What is y rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 91656548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/5 and (-15)\/(-25) - 261\/(-30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + j**2 + j + 49. Calculate t(0).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -10478336900 to the nearest one million.\nAnswer: -10478000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 + 9.6. Suppose 4*r - 25 = -r. Which is the nearest to -2\/3?  (a) r  (b) -0.1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -8*z**2 - 1645*z - 14470. Give x(-9).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 173530 divided by -70?\nAnswer: -2479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -5*w, 0 = -0*w + 2*w. Is 20 a factor of (f - -2)*30\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 5*a**2 + 59. What is y(-9)?\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 271 = 71*f - 226 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 174*o**2 - 1736*o - 31. Give s(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of (-59745)\/(-25)*(-14 + 19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 1. Let z(x) = -x**3 - 48*x**2 - 3*x - 141. Let n be z(-48). Let b(a) = -4*a + 1. Determine n*j(u) - b(u).\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011001011 + 1001010010?\nAnswer: -1111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -p - 131, -2*y - p - 32 = 57. Suppose 2*d - 6*d = 52. Let z = d - y. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r**1*r)))**(-39)*((r*r*r*(r**6*r)\/r)\/r*r)\/(r*r**(2\/5)*r))\/((r*r**(-6))\/((r**(2\/17)*r)\/r))**(2\/135) assuming r is positive.\nAnswer: r**(-54563\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 89768 and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 263*z**2 - 4424*z + 3481. What is p(245)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 94 - 395?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (25 - 23)\/((-6)\/(-1497)). Let m = y - 227. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*-155.626\nAnswer: -15.5626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -3*m + 7. Let h(a) = -199*a + 21. What is -h(r) + 4*j(r)?\nAnswer: 187*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 330030935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -82428 (base 12) to base 3\nAnswer: -22122010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 3*m + 95000 = 0. What is m rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**3 - 244*x**2 + 2904*x - 6624.\nAnswer: 4*(x - 46)*(x - 12)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of 0*n**2 - 1\/6*n**3 + 0 + 2*n. Let c(l) = 2*l**2. Calculate c(b(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5721073239 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000566342 to six dps.\nAnswer: 0.000566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001264977 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000010111 (base 2) to base 4.\nAnswer: -20113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*d**4 - 10*d**3 + 32*d**2 + 24*d.\nAnswer: -2*d*(d - 2)*(d + 3)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 4*k - 4*k - 15*k**2 + 18 + 0*k. Let m(a) = 26 + 17 - 44 - a**2 + 2*a**2. Determine -18*m(c) - v(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06627287 to 5 decimal places.\nAnswer: 0.06627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v + 8. Let x be i(9). Let p be ((-12)\/14)\/(x\/35). Solve 0 = -g - p*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -3*w**3 - 427*w**2\/5 + 231*w\/5 - 29\/5 = 0.\nAnswer: -29, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7286060*s**3 + 629218*s**2 + 5*s wrt s?\nAnswer: 43716360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1189\/280 + 147\/40. Sort 0.22, o, 4 in increasing order.\nAnswer: o, 0.22, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98759621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 5181.43624.\nAnswer: 5185.43624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/3  (b) -0.1  (c) -3.7  (d) -5  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 157295.115 rounded to the nearest ten?\nAnswer: 157300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5887598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 AM and 8:57 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 6 - 20. Calculate the highest common divisor of 221 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 = 5*w - 5*i, 3*i - 8*i = -w + 29 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21 by 269.\nAnswer: 21\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 22320 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**2 + 2*h. Let v be r(-1). Let j = 11.9 + -7.2. Let z = -5 + j. Which is the closest to -1?  (a) 0.4  (b) v  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 8. Suppose -a*l + 8*l = 2*m - 8947, -l = 5. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 49184954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 0*w**2 + 0*w**2 + 2*w**2. Let p(g) be the third derivative of g**4\/6 - g**3\/6 - 32*g**2 + 7. Determine p(j(q)).\nAnswer: 8*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 44689*y**2 + 527.\nAnswer: 89378*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46184446.\nAnswer: 2, 7, 11, 499, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89230007 is divided by 89229971.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2793 + 2253 = 332*d - 2258 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1741181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 2*u + 6 = 0, -2*u + 2 + 4 = 3*g. Suppose -g*v + v = -1. Let o(t) be the first derivative of 2*t - 3. Let p(w) = -w. What is v*p(z) - o(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 12*m**3 - 3*m. Let b(r) = -24*r**3 + 5*r. Let x be 2 + (-12 - -18)*2\/4. What is x*g(k) + 3*b(k)?\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t + 6*t + 5*t + 0*t. Let r(g) = -g**2 - 1. Let u(i) = 4*i**2 + 2. Let x(b) = 2*r(b) + u(b). Give x(a(p)).\nAnswer: 200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 PM and 4:19 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 19479, 77646, 174535, 310146?\n\"Answer: 19361*t**2 + 84*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 364.5032 rounded to one dp?\nAnswer: 364.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 13 - 1 = 0. Suppose l*d - 15 = d. Suppose 6*x = d*x + 12. Solve 1 = -x*m - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/4  (b) 0.06  (c) 6\/7  (d) -2  (e) -11  (f) 1777  (g) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 - 6*p**2 - 4*p + 10. Let y be b(-5). Suppose g = -2*t + y*t - 10, 4*t = 3*g + 10. Suppose -6*r - t = -34. Solve -5*j = -10*j - r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 16*m + 240 - 211 = 0, 0 = -2*a - 3*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)*1*3 + (sqrt(18) - (sqrt(2178) - -1*sqrt(2178))))\/(2*((sqrt(6) - 6*sqrt(24)\/sqrt(4)) + sqrt(6))).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 - 0. Suppose -5*i - y = -113. Suppose -5*t - 2*w - 3*w = -i, -5*w = -5. Put -4, 1, t in ascending order.\nAnswer: -4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 287430.6cm in kilometers?\nAnswer: 2.874306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 4140896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*b**2*k**3*r**2 - 29*b**2*k**2 + b**2 + 547*b*k**3*r**3 + 2*b*k**2*r**3 + k**2 wrt k?\nAnswer: 36*b**2*r**2 + 3282*b*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 + 3*q**2 - 49.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b**5\/4 - 3*b**3\/4 - b**2\/2 = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 29842 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 77, 156, 235, 314, 393, 472?\n\"Answer: 79*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 0*z + 3*z)*(-4 + 4 - 4).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 55*u**2 - 11*u - 24. Let v(w) = -24*w**2 + 5*w + 12. What is 5*v(j) + 2*y(j)?\nAnswer: -10*j**2 + 3*j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7240027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g - 5. Let s be m(3). Let v be s\/40 - 54\/(-170). Put 2\/7, 0.01, v in increasing order.\nAnswer: 0.01, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1662003 a multiple of 777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 8 = 4*u, -k - 4*u - 16 + 9 = 0. Which is the fourth smallest value?  (a) 3\/17  (b) -1  (c) k  (d) -1\/2  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.8 and -2.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, 0.04, 7\/9, 5, 0 in decreasing order.\nAnswer: 5, 7\/9, 0.04, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-42) - 500395\/(-34104)) + -14?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -38 - -30. Let s(x) = -16*x - 11 + x - x**3 - 9*x**2 - 5*x + 2*x + 8*x. Determine s(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 31\/(644\/(-324) - -2). Suppose -12*r = -3*r - h. Does 31 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -16560, -33843, -51126, -68409, -85692?\n\"Answer: -17283*k + 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6316.892 meters?\nAnswer: 6316892000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 - z - 4*z + 6*z. Let t be y(0). Let l(v) = 2*v**2 + 4*v - 27. Let w be l(-5). Solve -5*f = -2*s + 5, t*s + f = -w*s + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 65 = -7*v + 5*o, 0 = 5*v - 4*o + 120. Let n be (-36)\/(-5) - (-4)\/v. Is n equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**5\/9 - 22*a**4\/9 - 6*a**3 + 134*a**2\/9 + 640*a\/9 + 200\/3 = 0. Calculate a.\nAnswer: -5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.028482803128011 and -0.2.\nAnswer: -0.228482803128011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 38*l**2 + 35*l - 3. Is t(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 251560, 251563, 251566?\n\"Answer: 3*j + 251557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 73.710183 take away 9541.13?\nAnswer: -9467.419817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 89*a**2*m - 2142*a**2 - m**3 wrt m.\nAnswer: 89*a**2 - 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -63.7 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26\/4)\/(-13)*10*4816\/(-1400)?\nAnswer: 86\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of 1\/40*o**6 + 0*o + 0 + 0*o**4 + 0*o**3 - 1\/60*o**5 + 2*o**2. Find the third derivative of f(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of y**5\/10 + 22*y**4\/3 + 95*y**3\/6 - 3*y - 32. Find the second derivative of l(w) wrt w.\nAnswer: 12*w + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12510454 is divided by 48.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3456.406 nanometers to millimeters.\nAnswer: 0.003456406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of 5*u**6\/6 - 3*u**5 + 15*u**4\/4 - 5*u**3\/3 - 566. Factor f(z).\nAnswer: 5*z**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-34) - 59\/((-17051)\/6324)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (-1 - 3 - -2 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b + 14*b**2 + 9*b - 2*b.\nAnswer: 14*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-26)*(-83)\/249?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 440 and 247720.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/36 and 6 - 23\/1058*(-1 + (-2034)\/(-8)).\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**4 - 4*l**3 - 66*l**2 - 116*l - 55.\nAnswer: (l - 11)*(l + 1)**2*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 36 - 20. Suppose -p*h - 54 = -19*h. What is the remainder when 68 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2\/41 + 33\/164. Let x = 1.7867 + 3.2133. Which is the closest to -0.14?  (a) 0.3  (b) -0.4  (c) x  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 37 by 171.\nAnswer: 37\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 + 8. Let v = p - 0. Let j(b) be the first derivative of -b**4\/4 - b**3 - 3*b + 391. Calculate j(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 162 = 5*u. What is the remainder when u is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 + 0)\/(-1 - (-7 - -8)). Is n greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x - 347 - 125. Let d = 611\/2718 - -8\/151. What is the common denominator of x\/21*(-6)\/8 and d?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 42*x**4 + 149041*x**3 + 2*x**2 - 7*x + 68782 wrt x.\nAnswer: 1008*x + 894246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4095 and 42.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.392, -8, 3, -0.1, -2.8, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34485, 137953, 310409, 551853, 862285?\nAnswer: 1241705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 186 times 0.5\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 + 7*a - 8. Let b be v(6). Let g(j) = -j**2 - 6*j - 3. Let x be g(b). Solve -p = -2*u + 12, -x*p - 62 = -5*u - 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -109287 in -1\/4, 1, 2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4177 + -1?\nAnswer: 4176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -2*l**4 - 2570*l**3\/3 - 95108*l**2\/3 + 2020632*l - 20893680 = 0.\nAnswer: -1138\/3, -85, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 80 = 0, -d - 5071*l - 61 = -5068*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 137 + -11. Let f = d + -128. Let l = 0.4 - 0.7. Which is the second biggest value?  (a) 11  (b) f  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((84\/(-18))\/(-7))\/((-4)\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 351082752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 6\/(-24) + (-46)\/(-40) and 8\/((-24)\/9) + 33\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -903 - 10*o - 2*o**2 + 478 + 4*o + 4*o in the form n*o**2 + m + r*o and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 228571 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9058 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30237978 divided by -58262.\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/(-1)*72\/(-15). Suppose -w + 5 + h = 0. Suppose 3*s - w = -4*v + 21, -20 = -2*v + s. Calculate the least common multiple of 10 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14\/(-4)*(-16)\/28. Suppose -l - l = -h - u, -35 = -5*h + l. Let -q - h*q - 12*q**2 - q**5 + 18*q**3 + 3*q**4 - 16*q**3 + q**4 = 0. What is q?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-2)*-1*27\/12*464\/(-29).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-25 - -20) + 2 + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i + 240 = -4*i. Calculate the highest common factor of 56 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*s + 1042989 + 176101 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-6))\/(-2*(-3)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17592 and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 7006 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 8*j**2 + 4*j - 2. Let n be d(-5). Let w = -12 - n. What is the units digit of w\/(-15)*6\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -26.507029 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4)\/(-12))\/((-3)\/(-45)). Let r = i + -3. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 182 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-a + 2*a - 2*a)*(-3 + 2 - 1)*(5*a**2 - a**2 + 2*a**2) - a**2 - 15*a**3 - 10*a**2 + 16*a**3 in the form d + j*a + f*a**2 + k*a**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 407733828 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*14\/352*18288\/(-3429).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 275\/28 >= -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 138\/(-30) - ((-3)\/6 + 12*(-9)\/(-72)).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2 + 1372*n + 32968.\nAnswer: 4*(n + 26)*(n + 317)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + 6*y**2 + 6*y - 5. Let w be o(6). Suppose 3*j + w = 1177. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34 + 205\/6. Let m = -1\/30 - n. Sort -3\/4, m, -8 in increasing order.\nAnswer: -8, -3\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 268413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of 2\/3*k**3 - 4 - 4*k - 1\/2*k**2. Determine y(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43722900 by -8325.\nAnswer: -5252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -149347 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -4, 20, -5, -1, 4 in increasing order.\nAnswer: -7, -5, -4, -1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 8 = 6*c. Let d(f) = -2*f + 2. What is the units digit of d(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.147 in 0.4, -0.4, 2\/11, 5\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00046897264 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 + 5. Let i be h(13). Suppose 7*m - 2*m + 109 = -x, 0 = -2*x + m - i. Let l = -61 - x. Calculate the highest common factor of 112 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 799863019 by -2605417.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 - 14*d**2 - 30*d - 47. What is the remainder when 215 is divided by p(-12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 294 - 276. Suppose 3*w + 67215 = v*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/(-9))\/((-1050)\/675)*(-26 - (-8)\/(-4))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**22*o*o**(3\/8) assuming o is positive.\nAnswer: o**(195\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/((-2)\/433) - 129\/(-43). Suppose 2 = -434*u + y*u. Solve 7 + u = 2*z - 2*v, 4*z + 2 = -2*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - v - 12, -2*y - 3*v + 10 = -5*v. Let r(m) = 2*m**3 + y - 9*m - 3*m**3 + 8*m**2 + 2*m**2. Let j be r(9). Solve j + 1 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u + 19. Let q be k(15). Suppose -4*b - 5*y = -185, -q*b - 90*y + 178 = -92*y. What is the greatest common divisor of b and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3\/32 - -45\/32. Let i(c) be the second derivative of 0 + t*c**2 + 0*c**3 - 2*c + 1\/3*c**4. Find the first derivative of i(k) wrt k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 386 - 381. Suppose 0 = -7*q + 2*q + 5*t + 6650, 0 = -3*q - c*t + 3974. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 4*p**3 + 125*p**2 + 29*p - 61. Calculate k(-31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19\/2 + 10. Let n = 0.015 + -5.015. What is the closest to -3\/2 in u, -4, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 - 2*q - 3. Let o be g(-2). Let j be (-2)\/(-8) - (-7)\/4. Let t = j + -4. Is o < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 987017 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-3)*24\/16. Let w = f + 7. Factor o - 2*o**2 + w*o - 11 - 21 + 10*o.\nAnswer: -2*(o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 39*b*g + 8302775*b*q**3 + 25089*g*q**3 - 2*g with respect to g.\nAnswer: 39*b + 25089*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -2*h + 14, 29 = -5*h - 4*q - 2. Let u(v) = -3*v**3 - 2*v + 186 - 7*v - 7*v**2 - 189. Let g be u(h). What is the highest common factor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -76 + 73.19. What is z rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 30 - 24. Suppose 48 = 2*i + 2*y, 2*y + 9 = 2*i - 31. What is the remainder when i is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y + 22*y - 5*y)*(-3*y + 2*y - y)*(0 - 1 - 1).\nAnswer: 68*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -591465\nAnswer: -2\/591465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 6:25 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1a12 - -4?\nAnswer: 1a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*v = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of -p**4\/24 + p**3\/3 + 10*p**2. Let z be d(0). Let y be (z + -1)*0\/(-1). Solve l + 0*l + 3 = y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.486 + -9.26654880766.\nAnswer: -9.75254880766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -316442494 by 1.\nAnswer: -316442494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*f + 33*f**2 + 3*f + f**2 - 11*f.\nAnswer: 34*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 5*k + 17 = 3*j, 5*j - 5*k = 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -639 - -568.97. What is a rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/3289 or 32011?\nAnswer: 32011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-16) - (-1715)\/28. Find the first derivative of 47 - 57 - 13*q - 22*q - o wrt q.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003243294081 rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, -5, -15?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, 39, 67, 95, 117, 127, 119?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 320, 490, 658, 824?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19523447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w + 6 = -42. Let l be ((-6)\/w*2)\/((-5)\/5). Let u = -16 + 17. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -11 - 8435?\nAnswer: -8446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of k**10\/25200 + k**9\/4320 + k**8\/5040 + k**5\/15 + 7*k**2. Let m(c) be the third derivative of l(c). Factor m(b).\nAnswer: 2*b**2*(b + 2)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 1. Let j = -5 - -12. Let y = j + h. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2 + 739190*q.\nAnswer: 2*q*(q + 369595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -114 + 86. Let c(o) = -o - 8. Let u be c(6). Let w = u - h. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*n + 5*h = 19*n - 225, 15*h - 195 = -4*n + 14*h for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 169 - 178. Let c(n) = 11*n**2 + 98*n - 10. Let i be c(u). Is i greater than or equal to -1\/599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4815)\/243425 - (-2)\/(-35)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6082430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence klw when three letters picked without replacement from ccccwlcckklc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3032 - -3035. Let t(l) = -22*l**2 + 2*l + 10. Let z(u) = -7*u**2 + u + 3. Calculate k*t(r) - 10*z(r).\nAnswer: 4*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 500 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7 and 106078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6\/701 + 117037\/3505. Let s = g + -33. What is the closest to -2\/3 in -1\/5, s, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -698 + 998. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 320 > 641\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -99, -392, -1149, -2616, -5039, -8664, -13737, -20504?\nAnswer: -29211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 135*w - 209 + 21*w + 143 + 26*w wrt w?\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) 4  (c) 13\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/(q*q**(-10))))\/q*q**(1\/3)*q)**(-33) assuming q is positive.\nAnswer: q**286","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 42909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -2*k - u + 71, -141 = -5*k + 4*u. Suppose 3*a - 1 = g + 8, -k = g + 5*a. Let o = -1 - g. What is the remainder when 27 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g + 6. Let b be z(-3). Let i = b + 4. Solve -2*r + i = -6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3\/7, -2\/3, 2.49, -5?\nAnswer: 2.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 279 and 18?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1596768, 1596772, 1596776, 1596780, 1596784, 1596788?\nAnswer: 1596792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*y + 2464 = 2740 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + (3*sqrt(100) - sqrt(100))\/sqrt(5) - (sqrt(20) + 2*sqrt(2420) + sqrt(20)))\/(6*-3*(sqrt(1000) + 1*sqrt(1000))).\nAnswer: 7*sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42*b**3 - 28*b**2 - 2 + 26*b**2 - 33*b**3)*((-1 - 1 + 4)*(0 + 0 - 2*b) + 1 - 1 - 2*b)*(-11 + 3 + 6)*(4 - 3 + 1).\nAnswer: 216*b**4 - 48*b**3 - 48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 712075700 to the power of 1\/2, to the nearest integer?\nAnswer: 26685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5\/17 + -2657\/306. Let z be 3 + 3 + 2\/(8\/(-23716)). Let t = z - -260569\/44. Find the common denominator of y and t.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002754187 rounded to five decimal places?\nAnswer: 0.00275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 71 + -66. Solve -4*z = 5*l - 8*l + 20, -n*l - 3*z = 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 176.7269 litres?\nAnswer: 176726.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 907366621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 72 + 245. What are the prime factors of u?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 48.9 + -7.8. Let h = -58.1 + g. Let s = 3 + -3.1. Are s and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -51826 (base 9) to base 11\nAnswer: -23777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*s - 2*s - 7*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(2\/11)*p)\/(p**(-2\/3)*p))\/(p**(6\/11)*p**(3\/2)))**(-37) assuming p is positive.\nAnswer: p**(2923\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 55567 times -2\nAnswer: -111134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 - 9*z**2 + 23*z + 4. What is d(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 6 = -2*q - 3, -2*y = 2*q. Suppose 3*z + 15 = 0, y*d - 5*z = -0*z + 85. What is the smallest common multiple of d and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7111654 to the power of 1\/2, to the nearest integer?\nAnswer: 2667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 10001011 (base 2) to base 11\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 plus -385449423436?\nAnswer: -385449423416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5221 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4080 = -19*v + 11*v. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -266*s**5\/13 + 1166*s**4 - 55366*s**3\/13 - 3686*s**2 + 253056*s\/13 + 3816\/13 = 0.\nAnswer: -2, -2\/133, 3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 - 11*j**2 - 13*j + 7. Let d be b(12). Suppose -88 = -49*x + 38*x. Suppose -20 = -x*a + 12*a. Is d equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 169 - 163. Suppose 4*v + 1 = -3*r + 9, 2*v + r - w = 0. Solve 2*h = -z + 14, h - 4*h - v = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1462869?\nAnswer: 3, 23, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-586*v + 0 - 445 + 446)*(v + 2 - 2).\nAnswer: -586*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of 0 + 7*c**2 + c**4 + 1\/2*c**3 + 0*c. What is the tens digit of l(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 114493*k + 1 - 114490*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 639494 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -62.052 - -0.052. Let x = -64 - o. Which is the third biggest value?  (a) x  (b) 2  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {u: 7, z: 3, y: 3}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 s when three letters picked without replacement from rrrsrrsrrrrr?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 27 - 32. Put o, -1, 4, 7 in decreasing order.\nAnswer: 7, o, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1500, 0, 4, -390.\nAnswer: -1500, -390, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 339 + -559. Let b be ((-5)\/w)\/(4\/32). Let k be 2\/(-9)*9\/15. What is the second smallest value in b, -2\/5, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6510 - -1444. Let u = 86090\/17 + q. What is the common denominator of u and 25\/11?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 134452022 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4662 divided by -1554.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, -5, 1, 58.\nAnswer: -5, -1, 0, 1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 12*d**3 - 2*d**2 - 12*d - 5. Give c(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate h*j + h*m**3 + 2*h*m - j**4 + 9*j**2*m**3 - 16*m**3 wrt j.\nAnswer: h - 4*j**3 + 18*j*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -97912, -97876, -97780, -97594, -97288?\nAnswer: -96832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78*k + 78*k - 147*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 10002021 (base 3) in base 13?\nAnswer: 103c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/198496 and 155\/3051876?\nAnswer: 24415008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3\/23 + 61\/115. Let k be -2 - (3\/6 + -2). Which is the second smallest value?  (a) -0.1  (b) j  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14216729 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 212  (b) 5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2284 - 3465 = 197*w - 824 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 163*z - 655. Let j be u(4). Let v(x) = 5*x**2 + 5*x + 2. What is v(j)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j**4 + 4 + 21*j**3 - 4*j + 2*j**2 - 4 - 18*j**3 to the form l*j**2 + k*j + r*j**4 + m + d*j**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/25 and -7\/589160.\nAnswer: 2945800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 3*p = f - 2, -2*f - 3*p - 5 = 0. Let m = 9 + f. Suppose -4*u + m*u + 20 = 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 -5*q - 2 = -3*m, -332*m = -333*m + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of v**7\/525 - v**6\/150 + v**4\/30 - v**3\/15 + 2*v**2 + 4. Let l(w) be the second derivative of j(w). Solve l(y) = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 + -21. Let t be -8299 - -3 - 1*z. Round t to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of -4205*u**3\/3 + 580*u**2 - 80*u - 812. Factor f(n).\nAnswer: -5*(29*n - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 + 20. Calculate the remainder when 5 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 80016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41721 is divided by 3284?\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-375)\/(-4))\/(96\/128). Suppose -z - 37 = -6*t. Suppose 128 = -0*a + 4*a - 4*b, 52 = a - 5*b. What is the smallest common multiple of a and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = z + 10, 4*p - 5*z = -2*z + 20. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 21. Give t(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4.56 + 9.25. Let y = b - 0.69. What is the closest to -1\/5 in 0.4, 0.5, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 323673 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/360*6 + 17\/(-15). What is the remainder when 251 is divided by ((-2)\/6)\/((-2)\/(-312)*i)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g**2 - 244085*g\/4 + 15255\/2 = 0. What is g?\nAnswer: 1\/8, 6102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/16)*g**(1\/4))\/((g**(-2\/7)*g)\/g**(-11)))**30 assuming g is positive.\nAnswer: g**(-19365\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in 3\/4, -5, 4, 2.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(1372) + -3 + (-2*sqrt(1372)*2 - sqrt(1372))**2 + 3.\nAnswer: -28*sqrt(7) + 34300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lllp when four letters picked without replacement from qblbbbbqplbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**(6\/13))\/h)\/h**2)**(25\/3)*(h**(5\/6)*h*h**(-8))\/(h\/(h**(-1\/4)*h)*h**(-1\/7)\/h) assuming h is positive.\nAnswer: h**(-19759\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 - 58 = -24*v + 87 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 1\/3, 1\/2, 0, -194\/11 in descending order.\nAnswer: 1\/2, 1\/3, 0, -0.2, -194\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1117193, 2234388, 3351583, 4468778, 5585973?\n\"Answer: 1117195*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*z = -17*z + 14. Suppose 2*a = 2*p - a + 8, 0 = -p + 4*a - z. Suppose -u + p*r + 453 = -3*r, 0 = -3*u - r + 1327. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 711 - 392. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*z**2 - z**2 + 2*z**4 + z**2 + 54 - 52 - 5*z**2 - 7*z**3 in the form u*z**4 + j + a*z**2 + p*z + d*z**3 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 s, and 1 n when three letters picked without replacement from gsqqsgosonqnsgqqos?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 187 divide 1083882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54178 is divided by 53952.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -6*q**2 - 6*q + 3. Let r(k) = 3 - 5*k**2 + 0*k**2 + 0 - 5*k. Let h(x) = 4*n(x) - 5*r(x). List the prime factors of h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 3\/4, -102, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 1:24 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-3)*-2)\/((-2)\/(32\/(6016\/(-4)))).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = b - 2*j, 2*b + 3*j - 10 = b. Solve -5*l + 24 + b = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3\/3 - 224483*r**2\/3 - 12603652355*r\/3 - 617040099361\/3.\nAnswer: -(r + 49)*(r + 112217)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -410, -534, -748, -1058, -1470, -1990, -2624?\nAnswer: -3378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 58*b**5 - 4*b**4 + b**3 - 871*b**2 - 3*b?\nAnswer: 3480*b**2 - 96*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/(u**13*u)*u**(-1\/26) assuming u is positive.\nAnswer: u**(-339\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1 and 36629797.\nAnswer: 36629797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -64, -0.3, 321.\nAnswer: -64, -0.3, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*z + 5*z - z)*(-1 + 1 + 1) + 3*z - 3*z + z + (-2 + 2*z + 2)*(0 + 3 - 4) + 49*z + 45*z - 15*z to p*z + t and give p.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/((q*q**(-18)\/q)\/q)*q**19\/q*q*q*q*q*q**(2\/51)*q*q*q*q**6)**(-16) assuming q is positive.\nAnswer: q**(-41648\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.14?  (a) -1\/7  (b) 2.9  (c) 4  (d) 5  (e) 0.02  (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 50682702 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ieiiieiiiiii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 98 and 207319?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 788346070 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 5\/4  (b) -1\/2  (c) -1\/89  (d) 0.048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + l - 32 = -4*l, 2*g = 4*l - 8. Suppose s - u + g = -2, -5*s = 5*u + 10. Which is the second biggest value?  (a) -2\/9  (b) s  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29560?\nAnswer: 2, 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(405)*-3)*-6 + 1 + ((2*sqrt(480))\/sqrt(6))**2 + sqrt(60)\/sqrt(768).\nAnswer: 315 + 1297*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + a - 2*a)*(2*a**2 - 17*a + 8*a - 4*a**2).\nAnswer: 2*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 4. Suppose t*j = j. Suppose j*o = -2*o + 40. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/2*(-24*2)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3 + 28*s**2 + 62*s + 32.\nAnswer: -2*(s - 16)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*(y*y*y\/(y*y**(-20)))\/y)\/y)\/y**(-22)*((y*y*y**(1\/4)*y*y)\/y)\/(y**22*y*y))**(3\/2) assuming y is positive.\nAnswer: y**(267\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 11\/6  (c) 2\/5  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 4. Suppose 8 = 2*d + c. Let y be (0\/d)\/(1\/(-1)). Solve y*a = -2*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28 - -4. Let k = -14922\/5 - -2952. Let x = j + k. Which is the nearest to x?  (a) 1\/5  (b) -2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 527454283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 457*o + 8544 - 282 = 114*o - 7173 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 4*z + 23 = 0, -3*c - 2*z - z = -9. Suppose -4 - 11 = -c*r. Is 4 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 PM and 12:14 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (-4 - -2 - (1 - -3) - -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53 = -6*k - 5*n - 33, 2*n - 8 = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqdbdqdddmdbbbbddb. Give prob of sequence ddqb.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -2*i - 36, -3*i - 3*z = 2*i + 79. Let w = i - -31. Suppose -3*a + 11 = -4*a + 3*u, -4*u = 3*a - 32. What is the remainder when w is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {s: 2, v: 8, y: 1, m: 1, r: 1, g: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 282490 and 318?\nAnswer: 847470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/5 - (-1972)\/(-290).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -434660199099 plus 0.2?\nAnswer: -434660199098.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -8611520 plus -98.8?\nAnswer: -8611618.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6832 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 315326056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -41*a + 37*a - 2*l + 10, 0 = 5*a - 2*l + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 10050 times -80\nAnswer: -804000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**2*(g\/(g*g**(-1\/6))*g*g)\/g*(g*g**2)**(2\/3) assuming g is positive.\nAnswer: g**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 46260017276 + 0.16?\nAnswer: 46260017276.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -1096.18463 to the nearest 10.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2633687, 5267373, 7901059, 10534745, 13168431?\n\"Answer: 2633686*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the first derivative of j**2\/2 + 2070. Let m(u) = -1337*u**2. Determine w(m(b)).\nAnswer: -1337*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 2:51 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 - 4*c - 3. Let w be s(-5). Suppose q - w - 13 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2298081 and 5490990?\nAnswer: 620481870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1220442326?\nAnswer: 2, 41, 47, 157, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222864*r = -222480*r - 22272 for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 7*x + 6. Let w = 7 + -1. Let y(l) = -6*l - 5. Let b(u) = w*y(u) + 5*z(u). Let f(a) = -2*a. Give f(b(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-118)\/(-6))\/((-7)\/(-210)). Let y = 1162 - d. What are the prime factors of (-2)\/(-12) - y\/(-24)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4.6 in 5, -16, -22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 281008.\nAnswer: 2529072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.07, -3, -2, 1\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/4)\/((-9)\/(-18)) - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/((p*p**(2\/5)*p)\/p))**1\/(p*p**(-3\/7)*p*p**5*p)*p**(1\/5)*p**4*p**(4\/7)*p*p\/(p**(3\/7)*p) assuming p is positive.\nAnswer: p**(-92\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 288 and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**2 + 5*i + 7. Let k be r(6). Let d(g) = 20*g**2 + 3*g - 18. Let y(z) = -30*z**2 - 5*z + 29. Let s(o) = 8*d(o) + 5*y(o). Give s(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -7*d - 40. Let g be l(-22). Suppose i - 4*s = -i + g, -2*s = -3*i + 191. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaabaabbbbgg. What is prob of picking 2 b and 1 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.53 - 2.9. Let k = g - 0.03. What is the nearest to 1 in 1, k, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 v when three letters picked without replacement from vcvvcvc?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 729 is divided by 570?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 47389951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of y**4\/12 + 7*y**3\/6 + 3*y**2\/2 - 2*y. Let o be x(-7). Let s be o\/(-2)*(-20)\/6. Solve -z + b = 2*b - 4, 0 = s*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 719034 is divided by 2140.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - 5b1?\nAnswer: -5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = -85446*z + 85443*z - 56, 3*j + 3*z + 36 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*r = -5*r + 52*r - 52*r + 1032 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2196)\/24*(-5)\/186. Let d = h - -40\/31. What is the common denominator of 55\/2 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f and 1 r when four letters picked without replacement from frfrffrffffffff.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 12:48 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -5*a - 4*j + 10, -5*a - 20 = -5*j. Let l be (2 - a - 8)*-1. Suppose -l*u = 3*g - 63, 13 = u + g - 0. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, o: 2, t: 4, x: 3, l: 1, b: 1}. Give prob of picking 1 t, 1 o, and 1 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 + 2*z - 4. What is the remainder when 19 is divided by x(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 7911 = -5*d, 1 = -d + 4. Let t = -1271 + z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -2*t + 2. Let m be o(0). Let i be (-1 - (2 + -3))\/(-1). Let v = i - m. Let l(h) = h**3 - h**2 - 3*h - 1. Give l(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-1 + (sqrt(272) + 1 - sqrt(272)))**2 - (-2*sqrt(272)*-1 + 0)**2)*5.\nAnswer: -5440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of x**5\/60 - x**4\/4 + x**3\/3 - 3*x**2. Let l be h(6). What is the second derivative of 12*m - 5*m + 2*m**2 + 20*m**l wrt m?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -25971 greater than -25971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 4*o = 6, -3*w - w + 20 = -4*o. Suppose -2*z = z - 5*v - 37, 4*z + w*v - 32 = 0. What is the second derivative of -2*a + 3*a + 3*a**2 - z*a wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -3*o**3 + 34 + o**3 + 2*o**3 - 8*o - 6 + 4*o**2 - o**3. Let m be k(12). What is m rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c + 2. Let k be s(-2). Suppose 2*d - 24 = -k*d. Let n(y) = -2*y - 4. Let h be n(-3). Solve 3*p - 4*z + 4 = -0*z, h*p = 5*z - d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 177653069?\nAnswer: 11, 16150279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 2*d + 5 + 9 = -d - 0, 241*n - 2*d - 4589 = 0 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2 + 11064*m + 211660.\nAnswer: -4*(m - 2785)*(m + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.7 - -0.1. What is the second smallest value in 0.9, q, 4\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39372005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -45 or -143?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/9 + (-5515)\/15750. Let j = -13627\/2100 - w. Calculate the common denominator of j and 1\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -634 - -647. Let t = 6 - 4. Which is smaller: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 - 9. Calculate the remainder when 39 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - -12. Suppose -4*o = -a + x, -o - 3 = -a - 2*a. Let q(p) = p**2 + 9*p + 5. Determine q(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1177 a factor of 1280811400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/19 in -2, 3\/2, 59, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j - 6. Let y be q(-4). Solve 3*v + 5*k + 2 = 0, y*k - 9 = 5*v + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11130930 to the nearest one hundred thousand.\nAnswer: 11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w = 25*w - 97*w - 1944 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qquzfzzuzwqzfzzwzuz. What is prob of picking 1 q and 1 w?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -91626 + 91563.979. Round m to the nearest integer.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.9 + -3. Let g = 449 - 452. Which is the closest to 1?  (a) 1  (b) t  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 2*b**2 + 27*b - 14. Let z be o(-14). Suppose z = -3*v - 825 + 2343. Suppose -4*w + 2*g + v = -w, 2*g - 166 = -w. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -7*r**2 + 4*r + 8. Let n = -47 - -43. Let t(l) = -2*l**2 + l + 2. Let k(x) = n*t(x) + c(x). Let i(o) = 26*o**2 - 2*o. What is k(i(s))?\nAnswer: 676*s**4 - 104*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b734 + -3?\nAnswer: -1b737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 e when four letters picked without replacement from hzzyyzgizheegy?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-639)\/142)\/(99\/(-176))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -129. Let j(z) = -121. Let t(p) = -16*j(p) + 15*y(p). Let b(a) = -38*a - 4. What is -b(u) - 4*t(u)?\nAnswer: 38*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 504 divide 5666472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*u + 0*u - 3*u)*(-506 - 227 - 81) to z + p*u and give p.\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*y - 64 - 34. Suppose 0 = 3*v - 17*o + y*o - 171, 3*o - 65 = -v. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of -k**5\/10 - k**2. Let z(g) = 4*g + 5. Let w(n) = -2*n - 2. Let c(d) = -5*w(d) - 2*z(d). Determine c(r(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 18 + -29 + (11 - (-3 - 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-357)\/(-84) + 1\/(-4). Suppose 21*m = 23*m - d. Let 5\/7*r - 2\/7 - 4\/7*r**3 + 4\/7*r**4 - 1\/7*r**5 - 2\/7*r**m = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(7))*-1 - sqrt(175)*-6)**2*5 - ((sqrt(252) - (3 + sqrt(252)))**2 - (3 + sqrt(7) + 1)).\nAnswer: -289*sqrt(7) + 29435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2584*m + 5 + 12091*m + 21203*m.\nAnswer: 35878*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.5 - -1.7. Let b = 2 - p. Let h = -0.1 - -0.4. What is the closest to -3 in b, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**4 + 0*m**3 - 12 - 2*m**5 + 3*m**3 + 14 - 4*m**2 + m**3 - 2*m.\nAnswer: -2*(m - 1)**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 284042414 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -82*u + 31. Let g(j) = 3*j. Let v(n) = f(n) - 5*g(n). List the prime factors of v(-3).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.066 and -11756399343.\nAnswer: -11756399343.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 - 6*c - 1. Let m(a) = -a - 1. Let f be m(5). Let i be q(f). Let t = 21 - i. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jb when two letters picked without replacement from jbbjbjjbjmjjm?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -3551*v**2 - 201*v - 201. Let c(q) = 71*q**2 + 4*q + 4. Let l = 2745 - 2946. Give l*c(d) - 4*s(d).\nAnswer: -67*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27 + -24. Let h(k) be the first derivative of l - 3*k - 3\/2*k**2. What is the first derivative of h(c) wrt c?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, 3, -1\/3, -6\/13, 51, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-3 + ((sqrt(95) - 6*(sqrt(95) + (sqrt(95) + sqrt(95) + sqrt(95)*2 - sqrt(95)) + sqrt(95) - sqrt(95))) + sqrt(95))\/(sqrt(500)*1)).\nAnswer: -11*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 5d67 (base 14) to base 8\nAnswer: 37747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-1 + 1 + sqrt(288))*6 + -1*(sqrt(288) + 0) + 3 + sqrt(288)*-1)**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-6660)\/35)\/(26\/(-637))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-664)\/(-22) - ((-64)\/11 + 6). Let r = -14 + l. Solve -5*p + 1 = r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 3 + (-2 + -1 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.6 - 2. Let y = 408\/5 + -81. Which is the smallest value?  (a) k  (b) 1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1455*r + 4*r**2 + 1455*r.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 + 2 + (4 - 5 - 1)*(26 + 6 - 10))*(w + 2 + 2 - 2)*(9 - 3*w**3 - 9) to the form d + u*w**4 + m*w**3 + x*w + z*w**2 and give m.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10139978*a**3 - 2*a - 20280031*a**3 + 2*a + 10140048*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 66 and 77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -58*w**2 + 570*w + 156202.\nAnswer: -116*w + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28)\/(sqrt(28)\/sqrt(7)) - (sqrt(7)*1 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49153535.\nAnswer: 5, 9830707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*g + 63*g**3 - 14*g**3 + 9 + 18 + 2*g wrt g.\nAnswer: 294*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-2))\/(p**(-1\/3)\/p))**(-2\/135) assuming p is positive.\nAnswer: p**(-26\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - g**3)*(-12 + 6*g + 12)*(1 + 0 + 0).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 80, 1\/5 in increasing order.\nAnswer: -1, 1\/5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2713 divided by -1.\nAnswer: 2713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -55*x**2 + x - 16. Let f be r(-4). Find the common denominator of (-1415)\/f - (-2)\/(-9) and -85\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3 - 0 - (-20)\/5. Let w = a + 15. Solve -5*p = 2*q - 20, 3*p - 2*q = -p + w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.3694 + 0.0594. Let q = 29 - 28.69. Let d = x + q. Which is bigger: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -5*r**3 + 2*r**2 + 2*r - 2. Let s = -223 - -218. Let o be -3 - -3 - (-6 + 4 - s). Let w(h) = 6*h**3 - 2*h**2 - 3*h + 3. Determine o*g(b) - 2*w(b).\nAnswer: 3*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 216292982.\nAnswer: 2, 4967, 21773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/61288670 and 113\/8480.\nAnswer: 980618720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 + -23. Let p = -5 - b. Suppose 7 = p*f - 14. Solve -3*u = -f*u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 43942154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 145.2397817 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*t - 24224 = -165764. Is t a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i**3 - 484*i**2 + 9194*i - 43165. Give r(-260).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 106 - -38?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 23*w**2 - 80*w**2 - 144*w - 980 + 29*w**2 + 24*w**2 - 24*w = 0?\nAnswer: -35, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 divided by -202?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11639*m**3 - 5 + 1 - 11633*m**3 + 4.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z. Let d(a) = 7 + 29099*a**2 + 14 - 29075*a**2. Calculate y(d(h)).\nAnswer: 24*h**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 3*j**3\/8 - 237*j**2\/4 + 471*j\/8 = 0.\nAnswer: 0, 1, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 273*v + 554. What is the hundreds digit of d(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0, 0.24, -1\/5?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u - 37*u**2 + 13*u**2 + 22*u**2 - 3*u**3. Let p(b) = 7*b**3 + 5*b**2 - 3*b. Give -5*g(f) - 2*p(f).\nAnswer: f**3 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 485449*o**2*x**3 + 2*o**2*x**2 + o*x**3 + o*x**2 - 3326*x**3 wrt o.\nAnswer: 970898*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xvdvxdxxvaxxxaax. What is prob of picking 3 v?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4369423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w**2 - 299*w - 10739. Calculate r(-79).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.02 in -0.2, -16, 0, 0.28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 484 = 40*q + 4*q. Solve d = -7 + q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 1998898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2119*l**2 + l**3 - 4240*l**2 - 31 - 35*l + 2110*l**2. Is o(15) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/8 - 1)\/(2\/44)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 0*g + g - 91, 4*g + 164 = 4*r. Calculate the highest common divisor of r and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -4*o**4 - 128*o**3 - 1248*o**2 - 3584*o - 3136 = 0.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 2*d. Let x = d + 4. Let p(n) = -x*n - 2*n + 5*n. Let v(r) = -r. Give v(p(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k**2 + k**2 - 3*k**2 + (2*k + 0*k + 0*k)*(-2*k + 1 - 1) + 41*k**2 + 2*k - 40*k**2 - k.\nAnswer: -5*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**2\/2 + 433*b\/6 - 145\/3 = 0. What is b?\nAnswer: -145, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1279, 10184, 34353, 81418, 159011, 274764, 436309?\nAnswer: 651278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 328419715 is divided by 2160656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 9974, 9942, 9888, 9812?\n\"Answer: -11*g**2 + g + 9984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1662\/4*4\/6. Suppose 4*t + 5*g = 247 + 292, f = 2*t - 5*g. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-2))\/(784\/(-1176))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000782901 to six decimal places.\nAnswer: -0.000783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.426 - -234.426. Let n = v + -233.999574. Round n to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 168169 divided by 5.\nAnswer: 168169\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 108674?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -704*b + 271 - 832 + 271 + 290.\nAnswer: -704*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1369*m - 8 = 1367*m. Differentiate 276*i**m - 20 - 434*i**4 - 57 with respect to i.\nAnswer: -632*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*q**2 + 0*q**2 - 2*q**2)*(3*q - q + 3 - 2) to the form f + j*q**3 + x*q**2 + k*q and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 12 - (9 + -16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*x = -31 - 27 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 162 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(1 + 78\/(-66)). What is the fourth biggest value in r, 0.3, -6, -1\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 503*g**2 + 1496*g - 7. Calculate p(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of 4*g**3\/3 + 7*g**2\/2 + 51*g - 2. Let l(u) = -u. Let o(q) = -6*l(q) - r(q). Give o(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96 = -4*j - 3*y - 84, 0 = -j + 23*y - 92 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2\/5 - 6467*g\/5 + 19392\/5.\nAnswer: (g - 6464)*(g - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1219 and 6307.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -55*m - 2411. Determine g(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13*n**2 + 25 - 25)*(-n**2 + n**2 + n**2) + (-n + 0*n + 2*n)*(-70*n**3 - 38*n**3 - 111*n**3) to m + f*n + c*n**2 + r*n**3 + w*n**4 and give w.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 335*x - 332*x + 10215 = 0, 0 = 3*q - x + 30595. Round q to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1029526 is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 445.7, -1, 1, -96, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1328588537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/3 - 5\/15. Let r = -0.02 + 0.12. Put 1, r, f in descending order.\nAnswer: 1, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -375701, -375699, -375697, -375695, -375693?\n\"Answer: 2*z - 375703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -91.8 + -23.2. Let m = d + 200. Let p = m - 82.52. Round p to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 692569378 to the nearest integer?\nAnswer: 26317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 5*(-4 + 6*(sqrt(1088) + 1)**2 + (sqrt(1088) + -1 + 2 - sqrt(1088)) + -1).\nAnswer: 480*sqrt(17) + 32646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 684 = -699 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1*sqrt(40))\/sqrt(8).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 178969861 and -0.3.\nAnswer: -53690958.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*(m\/(m*m**(-1\/6)\/m)*m)\/m)\/m)\/(m\/m**0))**30 assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15223 + -14830. Calculate the remainder when h is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 6 = 0, 5*w - 4*y - 871 - 387 = 0. Is 1 + -5 - w\/15*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25 - 16. Suppose 7*j - 47 - f = 0. What is the remainder when 21 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(19) + -1 + -1 + sqrt(19) + (1*sqrt(152) + sqrt(152))\/sqrt(8)).\nAnswer: -8 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-13)*a\/a**(-27))\/(a\/(a*(a**39\/a)\/a)*a*a\/(a*a\/(a\/(a*a**5*a*a)*a)*a*a)) assuming a is positive.\nAnswer: a**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 5*r + 4, 5*r + 7 = -4*t. Suppose -3 = -5*v + 32. Let l = -12 + v. Which is smaller: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 6570495, 13141014, 19711529, 26282040?\n\"Answer: -2*t**2 + 6570525*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 13756 (base 9) to base 15\nAnswer: 2b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -176b (base 14) in base 6?\nAnswer: -31255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/4)\/(9 + 145\/(-16)). Does r = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 0 = k - 55, -5*k = -3*z - 293. What are the prime factors of k?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 38*y**3 - 10*y**2 + 3*y - 5. Let n(u) = 37*u**3 - 8*u**2 + 2*u - 4. Calculate -4*a(k) + 5*n(k).\nAnswer: 33*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*2\/(-4) - (-616)\/(-352)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 8*l**3 - 46*l**2 - 13*l + 1. Let y be i(6). What is the second smallest value in -0.1, y, 6, 2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.020078628 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3787782*o - 375201 wrt o?\nAnswer: -3787782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 8*d - 60. Let x be h(7). Let s be 282\/9*6\/x. Let l = 191\/4 + s. Which is the second biggest value?  (a) -5  (b) l  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1221444040 (base 5) to base 3\nAnswer: -12111102220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -13*n**3 - 5*n**2 + 11. Let y(r) = 4*r**3 + 2*r**2 - 4. Give 4*t(x) + 11*y(x).\nAnswer: -8*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-6*(sqrt(1216) + -2) - (-2*sqrt(1216)*-2 + sqrt(1216))) - (-1 + (1*(-1 + sqrt(1216)) - (3 + sqrt(1216)*2 + sqrt(1216)))))**2.\nAnswer: -31648*sqrt(19) + 2574905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -27187 (base 14) to base 4\nAnswer: -113201203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 127 - 127.1. Let n be -2 + (5 - (-1 - 1)). Which is the nearest to x?  (a) 0  (b) n  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s**5 - 1671*s**4 - 220695*s**3 + 3591843*s**2 + 58962510*s - 278764200 = 0. Calculate s.\nAnswer: -285, -13, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 2*n - 256 = -4*n, -5*r + 235 = -5*n. Calculate the greatest common divisor of r and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 3*p + 3, y + 3*p - p = 16. Suppose y*j + 119000 = 2*j. Let n be (j\/(-3))\/((-1)\/(-12)). Round n to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1441850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d**2 - 618*d + 10471. Determine x(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.02 + 0.21. Let g = -0.19000008 + p. What is g rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4e132 + 154?\nAnswer: 4e286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + l = -4, 0*l = 2*b - 2*l - 8. Suppose -u + c + 17 = -b*c, u = -3*c + 9. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(144)\/sqrt(4) + sqrt(36))*-2 - -1*((sqrt(36) - sqrt(36)*1) + sqrt(36)))\/(sqrt(12) + sqrt(12)*-1*-3 + sqrt(12) - 3*sqrt(588)).\nAnswer: 3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139486 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18779 + 18857. Let x(d) = d**2 + 4. Calculate the lowest common multiple of j and x(-10).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -23.5  (c) -27.4  (d) 3\/4  (e) -5  (f) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(2\/21)\/l)**(-9))**33 assuming l is positive.\nAnswer: l**(1881\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.45 + -0.55. Are r and -2\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -6 + 10 + (-36)\/3. Let f be ((-6)\/(-350))\/((-12)\/y). Let q = f + -52\/175. Which is greater: 6 or q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-10)*15\/3. Suppose 8 = -2*g - 2*t, 0*g - t - f = -g. Let q be (6\/(-9))\/((-16)\/(-24)). Is q less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 - -14. Let m be 102\/q*4\/6. Suppose -4*r = 3*t - 99, 4*r - 4*t - 73 = -9. Solve 5*g + 4 = -r, 4*g = -3*x - m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 12)*((-123144)\/4104 - -30).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 a factor of 1351283370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28 and 45.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from ejjtjtjjajjjj?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-5)*10\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t**5\/4 + 875*t**4\/4 + 8379*t**3\/2 - 251375*t**2 - 255346*t = 0. What is t?\nAnswer: -854, -46, -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 4, 5*z + 4*h - 108 = 28. Solve -4*f = -11*f - z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of -20\/21*t**3 - 4\/7*t**2 - 25\/42*t**4 + 4*t + 0. Factor l(a).\nAnswer: -2*(5*a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9341 is divided by 111.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/((z**4*z)\/z)*z*z*z*z*z**0*z*z*(z**(-2\/3))**(-8))\/(z**1*z*z\/(z*z\/(z*z**(-2\/23)\/z))*z*(z*z**(-2\/5))\/z**(3\/7)) assuming z is positive.\nAnswer: z**(15091\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32\/9*b + 2\/9*b**2 + 128\/9.\nAnswer: 2*(b - 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1488 - 1488. Let s = 9 + -1. Let f = s - 6. Solve c*h + 10 = -f*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*g - 2*v, -3*v + 1 = -3*g + 19. Suppose -99*s - 21 + 325 = -290. Determine k so that -14*k**2 - 3*k**3 - s*k**2 + 27*k**g - 4*k = 0.\nAnswer: -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -125\/144452 and -27\/1024100.\nAnswer: 68614700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 64\/25 - -91\/25. Let z = d + -351\/55. Let o = 192\/7 + -190\/7. Which is the third biggest value?  (a) -1\/6  (b) o  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -121, -30 in increasing order.\nAnswer: -121, -30, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - 1000000000001?\nAnswer: -1000000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2569*t**3 - 5147*t**3 + 2574*t**3 + 74*t**2 + 1 to the form l + a*t + j*t**2 + x*t**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -27221153 + 63813373. Suppose y = 29*u - 3282780. Round u to the nearest 10000.\nAnswer: 1380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3307295 divided by -661459?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 120 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 10657  (b) 0.0161  (c) -5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + -4b04?\nAnswer: -4b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*1.5052.\nAnswer: -0.7526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 849736695.\nAnswer: 3, 5, 1439, 39367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 385 = -389 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = 65 - 209. Let l(p) = -17*p**3 - 5*p**2 - 7*p + 2. What is the remainder when l(-2) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(114)*2)\/sqrt(6).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 16 + 1075?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*i - 14*i + 4. Suppose 2*s + 6 = -i*h, 0 = 5*h - 6*s + 7*s + 15. Sort -7, h, 4 in decreasing order.\nAnswer: 4, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.097 + 0.361. Let a = 0.064 - o. What is the third smallest value in a, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, 1, 8, 19, 34, 53, 76?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1874457 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 + 6*g**2 + 9*g - 10. Let n be w(7). Suppose r = -n*m - 2, -5*m + 4 - 12 = 4*r. Which is the smallest value?  (a) 0.4  (b) -4  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -43494747 * 0.01.\nAnswer: -434947.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (54\/(-45))\/(4\/(-90)). Let c = 53 + q. Suppose -3*p + c = 2*p. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 7*j**2 - 6*j + 6. Let y(z) = -7*z**2 + 7*z - 7. What is -7*a(r) - 6*y(r)?\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16803834 is divided by 1879.\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/5, 1\/4, -0.01, 2, -1.32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.6 + -1.86. Let s = 0.3 + o. Let d = 2.96 + s. Which is the third smallest value?  (a) 1\/3  (b) d  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4424909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3332\/(-833))\/(3\/18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*k, 2*j + k - 17 = j. Suppose 0 = 38*m - j*m + 3816800. What is m rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18.207613 or 3\/16?\nAnswer: -18.207613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -24*72*25\/1600?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**4 + 8*y**3 + 56 - 56)*(-1 + 2 - 2).\nAnswer: 2*y**4 - 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 864 divided by 36\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + sqrt(24)\/(sqrt(48)\/sqrt(6) + sqrt(8)) - -3*(-2 + sqrt(3)) - ((sqrt(30)\/sqrt(2))\/sqrt(5) + 3 + 5)**2.\nAnswer: -73 - 23*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/((-4)\/5) + 3. Let j(q) = 1061*q - q**3 - 9*q**2 + 2*q**3 + 6 + 2*q**2 - 532*q - 534*q. What is j(x)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1518031 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 1090.896 to zero dps.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2521004*j**5 + 4815300*j**2 wrt j?\nAnswer: -151260240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/460 and -79\/160.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 9410\/((-5)\/(-5) - 2). What is n rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6 - 4\/(1 - -7)*-2. Let t(y) = 1 + 5 - k*y + 5*y**2 + 5*y**3 - 3*y**3 - 3*y**3. What is t(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as -0.092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of f**4\/24 + 17*f**3\/6 + 12*f**2. Let k be j(-8). Solve 5*x + 7 - 34 = -4*n, 3*n - k = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 7 + 1)*(145*m + 74 - 74).\nAnswer: 1740*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 7190, -1, 9 in ascending order.\nAnswer: -1, 9, 7190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((36*(-35)\/(-360))\/(2\/(-4)))\/(5*1).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 158, 162, 168, 176, 186?\n\"Answer: i**2 + i + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 20 = -2*c, 4*x + 196*c = 198*c + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/(-3)*(-8)\/20. Suppose 4*r + 2 = 3*r. Let a be (r\/(-6))\/(4\/(-12)). Sort a, -8, i in increasing order.\nAnswer: -8, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + sqrt(1216) + 1)*-1*5)**2.\nAnswer: 2000*sqrt(19) + 31025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -70206 by -6.\nAnswer: 11701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.89205658 rounded to 3 decimal places?\nAnswer: 0.892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 - 56*x**2 + 55*x - 351. Give o(-57).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**2 - 1328962*b - 171402816 = 0 for b.\nAnswer: -664352, -129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -75\/1376 and -15\/26?\nAnswer: 17888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*m**2 + 3 + 3 - 6.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 780 is divided by 92.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) 3  (b) 4  (c) -113  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*h**2\/7 + 172*h - 192\/7 = 0. What is h?\nAnswer: -16, 3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b11 + -17?\nAnswer: afa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 + 1 = 32*y. Sort y, 7, -41 in descending order.\nAnswer: 7, y, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.29 + 0.3. Let i = 105.087 - 0.087. Let v = 103 - i. Is v at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**4 + 36*b**3 + 72*b**2 - 128*b - 384.\nAnswer: 4*(b - 2)*(b + 3)*(b + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1017 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 123 - 121. Suppose 4*i + m*i - 3594 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -5*l**2 + 4*l - 4. Let w(p) = -6*p**2 + 6*p - 4. Let r(d) = -3*u(d) + 2*w(d). Let z(g) = g**2 + 1. What is -5*r(c) + 20*z(c)?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2022211211 (base 3) in base 4?\nAnswer: -23023312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -2*d**2 + 143*d - 2104. Let n be z(21). Solve 0 = 6*r - n*r + 77 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-234)\/91 - 5175\/(-1400)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 z when three letters picked without replacement from ezzzezezzzeez.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of 2*w**5\/5 - 91*w**2 + 645*w - 1561. What is the first derivative of x(l) wrt l?\nAnswer: 8*l**3 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 + 5*v + 4. Let y be p(6). Let k be (0 - 3\/y)*2. Find the second derivative of w**4 - w + k*w**4 - 5*w**4 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.449 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -33.148 take away 4?\nAnswer: -37.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -322, -651, -984, -1321?\n\"Answer: -2*d**2 - 323*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -12615 - -3?\nAnswer: -12612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + 1. Let t(q) be the first derivative of 2\/5*q**a - 2\/3*q**3 + 0*q + 1\/3*q**6 - 1\/2*q**4 + 1 + 0*q**2. Suppose t(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -311*w + 627*w = 304*w + 96 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -14.1912 * 144\nAnswer: -2043.5328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**3 - 23*v**2 - 1421*v + 99. What is a(33)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58369, -59525, -61451, -64147?\nAnswer: -67613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -233, -0.4, 5, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + 270\/36)*((-154)\/6 + 1)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41.90864kg to tonnes.\nAnswer: 0.04190864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(2) - -2*sqrt(162)) + (sqrt(2) - (-5 + sqrt(2) + 1)))**2.\nAnswer: 152*sqrt(2) + 743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 PM and 8:28 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmy. Give prob of sequence ym.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/2852 and -71\/2012.\nAnswer: 1434556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.32 - 2.32. Which is the closest to n?  (a) -0.4  (b) -4\/7  (c) 22\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 11089.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -12401, -12769, -13365, -14189, -15241, -16521?\n\"Answer: -114*g**2 - 26*g - 12261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 668 (base 9) in base 11?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -9*o - 17. Let v(l) = l. Suppose -15 = -5*z, 7 = 5*c - c + z. Let h(j) = c*p(j) - 6*v(j). Find the first derivative of h(s) wrt s.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 94247 + -53830. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*i, 5*x - 29 + 49 = 5*i. What is the second smallest value in x, -7, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -69599.12 to the nearest one thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12191195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05144457144 rounded to 3 dps?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-75)*-5*60\/((-27000)\/315)?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7050 is divided by 172.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m**4 + 29208*m**3\/5 - 2501464*m**2\/5 - 4100448*m\/5 + 2038544\/5 = 0. Calculate m.\nAnswer: -5926, -2, 2\/5, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -132, -141, -158, -183, -216, -257, -306?\n\"Answer: -4*b**2 + 3*b - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 t when three letters picked without replacement from {m: 3, h: 4, f: 1, t: 1, u: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*c - 12*c + 52*c = 21*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2695*u**2 + 16*u + 6990. Let l(m) = 899*m**2 + 6*m + 2329. Let b(p) = 3*k(p) - 8*l(p). Differentiate b(w) wrt w.\nAnswer: 1786*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -2, -6479?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -211.96251 + -46.05219. Let f = 505 + -247. Let w = g + f. Round w to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u - 7*u + 0*u to the form g*u + i and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 times 222\nAnswer: -8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-12))**(-9)\/(f**(3\/16)*f*f*f*f\/((f**(-9\/7)\/f)\/f)) assuming f is positive.\nAnswer: f**(11259\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5129 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 59+1.34\nAnswer: 60.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*1\/(-1) + 15. Let a = -14965 - -15000. What is the greatest common factor of q and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 92 - 120 = 3*w, -w = 5*t + 84 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 7, a: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 6 = -2*i - 4*f, 0 = 4*f + 16. Let p be -3 + (i - -3 - 3). Find the second derivative of 0*x - 2*x**4 + 0*x**p - 3*x wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 104278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 84838740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-77))\/((-360)\/(-1650))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -316*f**4 + 49*f - 4 wrt f?\nAnswer: -3792*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - -88006?\nAnswer: 88008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 4*r - 258 = -q, r + 502 = 4*q. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s - 8. Give v(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 2 - 54. Let i be b\/(-22) + (-2)\/11. Let j(a) = a + 4*a - 9*a - 3*a. Determine j(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 735, 1488, 2743, 4500, 6759, 9520, 12783?\nAnswer: 16548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2*f - 3. Let o be z(-4). Let r = -8 - -2. Let h be r\/21 - (-10)\/(-14). Sort h, 1, o in descending order.\nAnswer: o, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -74347848.37 and 26.\nAnswer: -74347822.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*u = -34*u + 175. Suppose -5*j + 46 + 204 = 0. Calculate the greatest common factor of u and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 56.7 - 56.3. Which is the smallest value?  (a) -3  (b) u  (c) -15\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + p - 5*p + 52, -2*r + 2*p = -10. Let o(n) = 131*n - 9. Let l be o(r). Suppose 20*v + l = 21*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 1227 = 848. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w**5\/2 - 1639*w**4 + 2984909*w**3\/2 - 238065224*w**2 + 934403850*w - 928460232 = 0. Calculate w.\nAnswer: 2, 196, 1539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**2\/3 + 64771*c\/3 + 64772\/3 = 0.\nAnswer: -1, 64772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -36 or -11\/2829?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -1222734.4.\nAnswer: 366820.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 2*t + 3*c = 14, 0 = 2*c - 4. Let p be ((-3)\/t)\/((-9)\/(-12)). Solve p*k = -7 + 1, 0 = -b - 5*k - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(300))\/sqrt(10) + sqrt(30) + (sqrt(90)\/(sqrt(3)*2) - sqrt(30)))\/(sqrt(40)\/(sqrt(36) + sqrt(4)) + sqrt(10) + (-1*sqrt(10) + sqrt(10))*-3).\nAnswer: -14*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 (base 9) in base 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 0*s + 4. Suppose 2*m + s*p = -0 + 6, 0 = 4*m - 5*p + 14. Let n(y) = 13*y**2. Is 13 a factor of n(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123708*q = -123666*q - 42 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*x**2 + 2*x**3 + x**3 - 4*x**3 + 0*x**2 to the form m*x**3 + o*x + b + y*x**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 AM and 10:20 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56200347 is divided by 7025042.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1111\/46 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 38784 and 4242.\nAnswer: 271488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + j + 8 = 5*j, -3*j = 0. Suppose 5*t - 3*t = 0. Suppose 4*q + 17 = 3*l - 25, t = 2*l + 5*q - 5. Calculate the lowest common multiple of l and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (11*a + 16*a - 11*a)*(2*a**2 - 194*a**3 + 108*a**3 + a**2) as p + k*a**3 + s*a**4 + j*a**2 + y*a and give s.\nAnswer: -1376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*b - 3*j, -3*j = -3*b - j - 6. Let i be (28\/(-49))\/(b\/7). Factor -d**i - 2*d**4 + 0*d**2 + 2*d**4 + d**4.\nAnswer: d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 14562 = 3*r, r = -3*r - 5*s + 19416. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/(-15) + (-24)\/(-10). Suppose x*p = -p + 28. Suppose -p*k + 110 = -2*k. Calculate the remainder when k is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j + 6. Let u be h(3). Solve 6 = -5*r - 3*g, -21 = r + u*r - 3*g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**4 - 6*r**3 - 6*r**2 + 1. Let d(s) = -10*s**4 - 65*s**3 - 65*s**2 + 10. Let b(o) = -6*d(o) + 65*k(o). What is the derivative of b(z) wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.4 + 5.5. Let u = 285\/11 - 2653\/99. What is the third biggest value in -1\/5, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -32650.14253 - -32650. Round h to 3 decimal places.\nAnswer: -0.143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/2))**(1\/30) assuming w is positive.\nAnswer: w**(1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 PM and 10:07 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 - 8*q + 29. Let n be d(-12). Let z = 26 + n. Solve -4*v - z - 3 = -5*r, -r = 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -1. Let x(h) = -3*h + 3. Let m(o) = 2*i(o) + x(o). Let r = -83 + 82. Determine m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -7*j + 2*j. Find the second derivative of -2469*f**j - 25*f - 9*f**3 + 2469*f**2 wrt f.\nAnswer: -54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*v + 6 - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -35 - 872. Suppose 5*i + 4*a - 3344 = 3*i, 4*i = -a + 6702. Let h = l + i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5.1  (b) 12  (c) -8.85  (d) 1\/2  (e) 6  (f) 1\/4  (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**4 - 2*l**4 + 3*l**4)*(3*l - 2*l - 7*l).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 + -11. Let r(q) = -9*q. What is the tens digit of r(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10262 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 212\/413 - 5\/59. What is the biggest value in 11, w, 0.07?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 54*p**3 + 53*p**3 + 0 + 7 + 8 - 7*p**2 to the form l + f*p**2 + g*p + b*p**3 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 50679000 to the nearest 1000000.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9750534 divided by -3250178?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -7*l - 2. Let u = 15 + -19. Suppose -13*d - 15 = -67. Let w(c) = c**2 - 5*c - 3. Let v be w(d). Let z(s) = 13*s + 4. Give u*z(n) + v*q(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 11959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**2 + 155*h - 5708. Calculate i(60).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.2 and 93775 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -16460 rounded to the nearest one hundred?\nAnswer: -16500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + f + 0)*(3*f - 6*f + 2*f) + 4*f**2 - 2*f**2 + 0*f**2 + 0*f**2 + 0*f**2 - 2*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 3*f**2 + 14 - 167 - 1429*f + 722*f - 42 + 731*f = 0?\nAnswer: -13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u. Let d be c(-5). Let f(z) = z**3 + 5*z**2 - 4*z + 7. Let w be f(d). Let y = w + -16. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -311022304042 + -4?\nAnswer: -311022304101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.0249 + -0.0249. What is the nearest to r in -1, -32, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m + 10. Let t be w(-5). Suppose t = -9*l + 24 + 30. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.14, -0.4, -4, 1\/9, 2\/3 in descending order.\nAnswer: 2\/3, 1\/9, -0.14, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-15) + 76\/5. Is 22 a factor of (36\/c)\/(12\/360)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 5, 3\/4, 6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j + 23. Let y be h(17). Let r(g) = 11 - 3*g - 11. Let k(x) = 3*x. Let m(p) = y*r(p) + 5*k(p). Let d(c) = -9*c. Determine d(m(t)).\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(320)*-3)**2 - sqrt(320)) + (sqrt(320) + (-3*sqrt(320))**2)*-3.\nAnswer: -5757 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*h**3 + 12 - 40 + 28.\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -10, -112, 4, -11, 1 in ascending order.\nAnswer: -112, -11, -10, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = -2*l - 1, 3*d - 7 = -4*l - 0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.365 + -0.165. Let q = 7 - 7.3. Sort w, 1, q in ascending order.\nAnswer: q, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbaaaaab. Give prob of picking 2 b and 2 a.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -245.624 + 248. Let w = m + -2.6. Round w to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.588631 to 3 decimal places.\nAnswer: 6.589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 - 3*b - 3. Let m(j) be the third derivative of j**5\/12 + 2*j**4\/3 + 8*j**3\/3 - 13*j**2. Determine -22*i(f) - 4*m(f).\nAnswer: 2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 4*j - 1 + 8 = 0, 2*g = 3*j + 1. Let l = 3 - g. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 256*z**2 - 8*z + 9. Let w be v(1). List the prime factors of (1 + 0 + 1)*(52 + w).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 + 20. Let h(u) = -1 - q*u + 6 - 4. Let i(v) = -5*v + 1. What is -4*h(s) + 3*i(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(18) - (sqrt(18) - sqrt(126)\/(sqrt(28) + sqrt(7))))*6)\/((sqrt(900)*3 + sqrt(900))*-2) + 4)**2.\nAnswer: -38403\/400 + 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -225, -399, -553, -681, -777, -835, -849?\n\"Answer: r**3 + 4*r**2 - 193*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18144?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4706726*g**4 - 9*g**3 + 422677103.\nAnswer: 18826904*g**3 - 27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -278*l**2 - 64*l**2 + 26 + 59 + 2*l**3 - 72*l**2 + 3*l wrt l?\nAnswer: 12*l - 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.17423807 rounded to 2 dps?\nAnswer: -10.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 49309161 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*g**3 + 7*g - 9*g**2 - 19*g + 2*g - 2*g**4 + 31*g**3 = 0. What is g?\nAnswer: -1\/2, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -3\/25369?\nAnswer: -3\/25369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/171 and 80\/741?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 5. Let t be 4\/(-6)*3 - -7. Let q = g - t. Let y(l) = l. Let w(h) = -5*h. What is q*w(o) - 9*y(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 1. Suppose -620*g - 10 = 2*s - 616*g, g + 6 = 3*s. Let h(x) = 3*x. Calculate s*h(c) + w(c).\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (114\/(-18) + (-120)\/20 - -13)*(-45)\/30\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 377088 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 t be (105\/49 - (-1)\/(-7)) + 5566. Suppose 0 = -p + 5*r + t, -16690 = -4*p + p + r. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -11*b + 39. Let c be q(3). What is the tens digit of -5 + 4 - (c*188)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = -8*l + 574. Calculate the remainder when l is divided by 22 + 2*3\/(-6) + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3296360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(182)\/sqrt(175))\/(1*sqrt(4)\/sqrt(2)))**2*5.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1548?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 595 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -349*g**2*h**3 - g**2*h + g*h**2 - 120*h**3 wrt g.\nAnswer: -698*h**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1544005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -892, -1799, -2706?\nAnswer: -3613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 463016950 by 2.\nAnswer: 231508475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 9, u: 2}. What is prob of picking 1 x and 2 u?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*q - 2*q**3 + 17*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 3, k: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**3 - 978*m**2 - 33389*m - 880. Give w(-33).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the first derivative of 5*d**6\/6 - 95*d**4\/4 - 10*d**3\/3 + 120*d**2 + 160*d - 319. Let c(u) = 0. What is u?\nAnswer: -4, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (28\/(-210)*-30)\/((-95)\/(-75) - (-15)\/(-25))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 6*q = 0. Let h(f) = -2 - 7 + f**3 - 2*f**3. What is h(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xqlkqwu. Give prob of picking 1 l, 1 k, 1 u, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4349626.\nAnswer: 2, 229, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 c, 1 i, and 1 f when four letters picked without replacement from {i: 3, y: 7, f: 1, c: 1, w: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q + q - 3*q)*(q - q - q)*(-3 + 3 + 3).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 41627500 and 480.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of f**5\/30 + f**2. Let d(x) be the first derivative of 0*x**2 - 2\/3*x**3 + 0*x + 2. What is d(z(b))?\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 PM and 1:59 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((2\/(-9))\/1)\/(45\/1215*-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/(-42))\/((-2)\/3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 + 12*h**2 + 5*h - 148. Let f be d(-10). Solve 4\/3*m + 0 - m**3 + 0*m**f - 1\/3*m**4 = 0 for m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 13. Suppose -5*a - 20 = 0, 215 = -k*v + 5*v + 5*a. Suppose 5*r - 2 = 2*c - v, 3*c - 60 = 5*r. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-5*(1 + 4*sqrt(192)*3 - (2 + sqrt(192) + 0 - (-1 + sqrt(192))*4)))**2.\nAnswer: -2161250 + 60000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + 0 - 4\/(-4). Let y be 12960003 + 12\/(-8)*k. Let t be (20\/8)\/((-2)\/y). Round t to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 30\/(-105) - 74\/(-14). Solve -2*i - 11 = 4*u + i, 19 = -v*u - 2*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 39*p**4 + 43370242*p**3 + 21129059*p**2 - 26689372*p - 4448228 = 0?\nAnswer: -1112057, -1, -2\/13, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11\/3 in 56189\/4, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 - 17 - (36 + -73)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g - 2*g + g)*(12*g + 12*g - 8*g).\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -171*x + 159*x + 108. Let v = 61 + -37. Suppose y + 3*y - v = 0. What is the remainder when x is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002217566 rounded to five decimal places?\nAnswer: 0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -299 divided by -1\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1089684 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7734 (base 11) in base 10?\nAnswer: 10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (49 + 56*f - 49)*(0 + 7 + 6).\nAnswer: 728*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-2\/3))**8*(o**0*o)**(-8) assuming o is positive.\nAnswer: o**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 - 25*j**2 - 181*j + 64. Calculate x(-14).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -5*g**2 + 3750*g + 84906. Calculate p(772).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 + 7*f**2 + 8*f - 8. Suppose 113*l - 10 = 115*l. Does 14 divide v(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 371 is divided by 85?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11311453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(13)*2*-5*-2 + (1*1*sqrt(13) - sqrt(13))*-5)**2 + -3.\nAnswer: 5192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25 + 19. Let g(s) = 9*s - 9. Let o(x) = -2*x + 2. Determine v*g(c) - 26*o(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-two ninths of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3703*n - 1101670 = 9732*n for n.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 367 + -509 + (67 - 2)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*u + w = -21*u + 13, -34 = -5*u - w for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**4 - 3*j**3 + 0*j**3 - 3*j**3 - 15*j**2 - 10*j**3.\nAnswer: -j**2*(j + 1)*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of 3*i**5\/20 - 56*i**2. Let o(d) = -24*d. What is o(b(h))?\nAnswer: -216*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 4*h + 15. Let t be (-18 + 13)*(-426)\/(-5). Let a = 420 + t. What is x(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5830*q + 4 - 4 + 8 - 1 + 5834*q - 7.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9816 = -2221*v + 1376 - 1634 - 3252 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14043 and 103478?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of 2 - 1\/27*u**3 - 1\/270*u**5 + 0*u - 1\/54*u**4 - 3\/2*u**2. Let h(c) be the second derivative of s(c). Factor h(t).\nAnswer: -2*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of -67*g**5\/5 + g**3 - 327*g**2\/2 + 382. What is the second derivative of j(u) wrt u?\nAnswer: -804*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**3 + 20*o**3 - 15*o**2 - 9*o**3 - 10*o**3.\nAnswer: 3*o**3 - 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*c - 51 + 51)*(-1 + 3 + 2).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -4*h**2 - 884 + 884. Let b(f) = -5*f. What is b(p(s))?\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 876 and 13952052?\nAnswer: 13952052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 6*a - a + 219, -3*y - 5*a + 557 = 0. Is y a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7542483628 to the power of 1\/2, to the nearest integer?\nAnswer: 86847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-312)\/(-182))\/(54\/56). Suppose -4\/3*n + 2\/9 + r*n**2 + 8\/9*n**5 + 4\/9*n**3 - 2*n**4 = 0. Calculate n.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42856333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 101101 (base 2) to base 3\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 2*f + b - 25, -5*f = -5*b - 195. Suppose -108 = -3*x + 4*k, 2*x - 3*x + 2*k = -f. Solve i + 5*d - x = -2*i, 5*d - 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/5952 and -7\/112272.\nAnswer: 13921728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -9*b**2 + 7. Let a(r) = 4*r**2 - 4. Let g(q) = -q**2. Let w(o) = a(o) - g(o). Let z(j) = 7*w(j) + 4*x(j). Let d(u) = -u. Calculate d(z(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 62\/3, 0.11, 1, -3\/2, 4, 764?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 0*t - t - t**2 + 0*t + 1 - 6 + t**3. Suppose -4*h + 5*u + 10 = 0, -2*h + h - 4*u = 8. What is z(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u**2 - u + 3 - 9*u**2 - 4 + (-6*u - 1 + 1)*(-9 - 20*u - 3 + 4).\nAnswer: 109*u**2 + 47*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -2. Suppose 0 = -3*s + 5 - 2. Solve 3*h + y = 3*b + h, 2*h = b + s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1326 + -547. Suppose 923 = 4*a + d. Calculate the smallest common multiple of a and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 153174912 is divided by 289.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -s**4 - 7*s**3\/3 + s**2 - 17*s - 23. Let v(a) = -2*a**3 - 4*a**2 + a - 9. Determine -4*n(b) + 7*v(b).\nAnswer: 2*b**3 - b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/15  (b) -0.1  (c) 0  (d) 4\/9  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2872?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -0.12, -3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -65\/4  (b) 4  (c) -5  (d) -1\/2  (e) -0.2  (f) 3  (g) -0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22015 and 465.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 11, 45, 103, 185, 291, 421, 575?\n\"Answer: 12*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -3 + 3 + 4 + 0 + i. What is the units digit of u(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (20\/14 + -2)\/(902\/(-2296)). Suppose -2*o - 1 = -3. Which is bigger: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 + 3\/4)*(214 - -2). Suppose 11*x = 3 + g. Let q(m) = -m - 2. Let d(p) = 3*p + 5. What is x*q(r) + 6*d(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 4:28 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 816, 815, 786, 723, 620, 471, 270, 11?\n\"Answer: -o**3 - 8*o**2 + 30*o + 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 - q. Let p be u(2). Solve -4*v + 0 - p = 5*i, 4*v = 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1105*b - 38*b - 176*b.\nAnswer: 891*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 2, c: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 1. Let o(i) = i**2 + 2*i - 1. Let w be o(0). Let j(d) = -2 + 7 + 2*d - 6. What is w*j(t) - 2*u(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -672136*t**2 + 1015001*t wrt t?\nAnswer: -1344272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 + 7*g + 8. What are the prime factors of x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1887 - 26?\nAnswer: -18b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -4041*q + 7919. Give h(2).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 AM and 2:12 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ntnannanaaa.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 23638009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 14\/(-336)*24*102\/4*6\/3\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(2\/27)*b**(2\/7)*b*(b\/(b\/b**(-2\/7)*b))\/(b\/(b**(-8)*b)) assuming b is positive.\nAnswer: b**(-214\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 103213688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -58000 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9752 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 470 divided by 12.\nAnswer: 235\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -212 - 197. Let i = -378.7 - t. Let x = i - 46. What is x rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 307 = 193. Let s = -39 + o. Calculate the remainder when s is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -6*g + 43. Let f be i(8). Which is the second biggest value?  (a) f  (b) -3  (c) -1\/3  (d) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-156)\/(-24) + 1\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-3*sqrt(126))\/sqrt(9))\/(2*sqrt(128)))**2 - -1*(1 + (sqrt(700) - -1*sqrt(700))*-2)**2.\nAnswer: -80*sqrt(7) + 2867519\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(176)*-1 + -3 + ((sqrt(484)*-1)\/sqrt(11))**2*-2.\nAnswer: -91 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4306.856 + -4336. Let q = c - -29. Round q to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 13\/8 of a microsecond?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000002092 to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 180\/(-54)*((-804)\/(-260) + -3).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -211 (base 5) to base 2.\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -47, -403, -1361, -3221, -6283, -10847, -17213?\n\"Answer: -50*p**3 - p**2 - 3*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(3\/5)\/(j\/j**(-2\/7))*j*(j\/(j*j**1))\/j*j**(-1)\/j assuming j is positive.\nAnswer: j**(-129\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -18d7 + -3?\nAnswer: -18da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -35772, -35771, -35770, -35769, -35768, -35767?\n\"Answer: d - 35773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.3  (b) 1  (c) 59.054  (d) 0.4  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**3 - 23872*q**2 + 239020*q - 597800.\nAnswer: -4*(q - 5)**2*(q + 5978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**3 - 18*k**2 - 52*k - 48.\nAnswer: -2*(k + 2)*(k + 3)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(84)*-2)\/sqrt(12) + sqrt(7)) - sqrt(21)\/(-1*sqrt(108) - sqrt(108)))**2.\nAnswer: 35287\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/4)\/((-10)\/(-40)). Let y(a) = -20*a + 107. Calculate the remainder when 212 is divided by y(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/84 and (-11)\/(-11) - (-15)\/(-7) - 2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (277 - 231) + (3 + 1)\/4.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + -1. Suppose -5*j + 5*p = -65, 5*j - 55 = 3*p - q*p. Calculate the smallest common multiple of 2 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that i**3 + 181*i**2 + 8099*i - 8281 = 0.\nAnswer: -91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*w + 69 + 28 - 517 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.1 + -0.9. Which is the nearest to 0.1?  (a) -1\/9  (b) 0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13622021 (base 7) to base 14.\nAnswer: 255711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137*h + 124*h = 104 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 7615.848?\nAnswer: 7615.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 243307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2221849?\nAnswer: 7, 17, 18671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 514 - 345. Suppose 110 + p = 3*x + 3*s, 103 = x + 3*s. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 81\/1291550 and 51\/5.\nAnswer: 1291550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 222201.9 nanometers to millimeters.\nAnswer: 0.2222019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 101116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 862375335 to the power of 1\/3, to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 - 90615155953?\nAnswer: -90615155953.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3 = 59. Let g = d - -1. Calculate the common denominator of 5\/g*183\/2 and 58\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 10689 + 1b?\nAnswer: 106a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1318199421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35 and 34769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 - 7. Let s = 6\/5 - 8\/5. What is the third biggest value in 2\/9, k, s, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eesrreemmseemrmeee. What is prob of sequence ree?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnggnnnggnnnnnnnnnnn. What is prob of sequence gnn?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 459*s - 3998*s - 150876 = -110*s for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of k**6\/240 + k**5\/16 + k**4\/4 + 29*k**3\/3 - 12. Let f(v) be the third derivative of h(v). Factor f(t).\nAnswer: 3*(t + 1)*(t + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 686*h**2 + 1687.\nAnswer: 1372*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 17*l**2 - 12*l - 42. Let z(t) = -15*t**3 + 3*t**2 + t - 1. Let g be z(-1). What is the least common multiple of w(g) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - w + 3, -w - 8 = 3*s + 4*w. Let c(j) = -j**2 - 3*j - 3. Let o be c(s). Which is smaller: -1\/14 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 222 and 114?\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 8:56 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fvu when three letters picked without replacement from {v: 1, s: 1, e: 1, u: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8317080 and 324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -36.442  (b) 0.4  (c) 1\/754\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -7*p**2 - 9*p. Let k(b) = 3*b**2 + 4*b. Let w = 23 - 19. Suppose 2*f = -2*f + 36. Determine f*k(j) + w*t(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, e: 10}. What is prob of picking 2 e?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.41 + -0.09. Let c = -1 - o. Sort c, -1, -2\/5 in ascending order.\nAnswer: -1, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 13*v + 693. Let m(g) = 2*g**2 - g - 2. Let d be m(2). Let a be 3\/(-18)*d*v\/(-6). Do a and -7 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -58 - -58. Sort 6, p, 3, -3 in increasing order.\nAnswer: -3, p, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (25*y + 22*y + 14*y)*(-4 + 6 - 1)*(-19 + 7 + 11 + 5*y**2 - 4*y) to the form g*y**2 + o + v*y + r*y**3 and give g.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18.507 - 18.587. Which is the nearest to p?  (a) 3  (b) 0  (c) -2.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**3 - 263552*m**2 + 4341228544*m.\nAnswer: 4*m*(m - 32944)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -89, 5, -5, 4664 in increasing order.\nAnswer: -89, -5, 4, 5, 4664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134117727 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*w + 808 = 23*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 253 is divided by 134?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -1 + 14 + -3 + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 0.1  (b) -5  (c) -0.3  (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(((sqrt(624)\/sqrt(48))\/sqrt(4))**2*-6 - (1 + sqrt(637)*-1)*6).\nAnswer: -51\/2 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -21 - 2 - (-30 + 38).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 7\/6  (b) -0.1  (c) -1  (d) 2\/11  (e) 0.05  (f) 1509\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 242714 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + -1 - (-47 - (-12 + -13)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + 3*o - 3. Let q be (-6 - -1) + (-42)\/(-3). Suppose -6*f = -9*f - q. Let d be r(f). Sort 7, d, 2.\nAnswer: d, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 149061.6 litres?\nAnswer: 149061600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21456 - 7964. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**5 + 4*r**4 - 84*r**3 - 164*r**2 - 80*r.\nAnswer: 4*r*(r - 5)*(r + 1)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-204)\/16 - -5) + 8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of -7001*r**3\/3 + 4963*r**2 + 9717. What is the second derivative of t(z) wrt z?\nAnswer: -14002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times 2426.4?\nAnswer: 4852.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-1 - 3 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00134082 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 2*n = -49, 5*m + 1082 = -11*n + 1060 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 841669 + -841661.000045. Let k = 8 - y. Round k to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a minute in milliseconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (1 - (13 + -8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by 7176.\nAnswer: 11\/7176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, r: 1, x: 4, b: 5, u: 1}. What is prob of picking 1 k and 1 b?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.13 + -9.13. Let u = -9.06 - v. Let z = u - -0.53. Round z to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -916664*l + 4. Let h be b(-6). Suppose -5*p - 4*i + h = 0, -1099997 = -3*p + 2*p - i. What is p rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ujj when three letters picked without replacement from jrrjjjjjujuujruj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1\/6  (b) -0.16  (c) -1  (d) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l - 2. Let x(g) = g - 1. Let h(u) be the third derivative of -3*u**4\/8 - 55*u**3\/6 + 165*u**2. Let n be h(-6). Give n*a(r) - 2*x(r).\nAnswer: -3*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-30)\/(-9))\/(8\/(-12)). Do d and -5 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150 is divided by (40\/(-30))\/((-350)\/345 - -1)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 587959.9 micrometers?\nAnswer: 587.9599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - p + 16. Let r(o) = 5*o + 12. Let a(u) = -u - 1. Let w(s) = p*a(s) + r(s). What is the units digit of w(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - -25 - (4 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*h + 1142, 4*h - r - 2848 = -h. Let i be (0 + 6)*((-12)\/(-9))\/2. Find the common denominator of h\/100 - 1\/i and -103\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -45 + 50. Put -2\/15, f, 0 in increasing order.\nAnswer: -2\/15, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 2*i = o + 8, 10 = 5*o + 5*i. Suppose 0 = -0*z - o*z + 4. Solve 18 = z*j + 5*h, 4*j - 8 = 3*h - 6*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44\/123 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 3 = -3*w - 6, 4*r - 20 = 4*w. Is 277*(r + 5) - 5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -96 - -106. Let l = h + -8. Which is the nearest to -1?  (a) 17  (b) l  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22 is divided by (-4)\/7 - (2 + 760\/(-56)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27960 is divided by 1319.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.051, 37\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -167386747 or -167386750?\nAnswer: -167386750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 4*a + 2*a**2 - 10 - 6*a**2 + 2*a + 7*a**2. Is z(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 177*v - 95. Let c be o(2). Which is greater: c or 257?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21 + 62. Calculate the remainder when u is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 16 + 62720?\nAnswer: 62736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 9*g - 124. Calculate h(19).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 98368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -522 (base 7) to base 15.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*w - 114*w + 467535 - 468111 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 3*g = 10, -g + 7 - 3 = 2*a. Let q(t) = -a*t + 19 + 32 - 51. Let v(x) = 91*x**2. Give q(v(p)).\nAnswer: -182*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.7 in 6, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 75548228 divided by 2\nAnswer: 37774114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 215703 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t**5 + 5382*t**4 - 92178*t**3 + 331764*t**2 + 635175*t - 880146 = 0. What is t?\nAnswer: -1811, -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1418*((-14)\/(-4) - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 68 - 66. Find the first derivative of a**k - a**2 + 707 - 730 + 12*a**3 wrt a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 778 is divided by 756.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/((z*z*z\/(z**(-1)*z)*z*z*z*z)\/z*z))**23*z**(-2\/21)\/(z*z*z**(1\/4)\/z) assuming z is positive.\nAnswer: z**(-11705\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4021 and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - -221112?\nAnswer: 221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 308 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -349*i - 1716. What is z(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 432, 2, 1118 in ascending order.\nAnswer: 2, 432, 1118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.38093 grams in milligrams?\nAnswer: 85380.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1636 divided by 16523?\nAnswer: 1636\/16523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((3\/1)\/(-21))\/(1\/(-4))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 0.02, 4\/3, -604.6, 0 in descending order.\nAnswer: 4, 4\/3, 0.02, 0, -3, -604.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dbxhn. What is prob of sequence hxb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6879254*x**3 + 15*x**2 - 15*x**2.\nAnswer: 6879254*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**2\/4 - 76*x + 151 = 0 for x.\nAnswer: 2, 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1526728 = 42*q - 2*g + 1526466, -4*q = -4*g - 44 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 84 = -4*f - 40, -o + 118 = -f. Suppose -356 = -2*w - o. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that y**3 - 22123*y**2 - 531384*y - 3189168 = 0.\nAnswer: -12, 22147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b + 4. Let n(s) = -4*s + 20. What is -3*n(h) + 14*w(h)?\nAnswer: -2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 PM and 4:02 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -28\/5*s - 2\/5*s**2 - 66\/5 = 0.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 11 - -16*(-1)\/2. Let r(w) be the second derivative of -5\/3*w**q + 0*w**2 + 0 + 7\/12*w**4 - 6*w. Find the second derivative of r(k) wrt k.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22715889 + 3*u**2 + 11357875 + 11358014.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/25, 5, 7.77?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 1522.945482 to the nearest integer.\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -85 + 648. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20817 + 51627. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6 - (-128)\/(-40)) + 1\/5. Let j be -1*d\/48*-4. What is the nearest to -0.2 in j, -1\/3, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -996, 1805, 9418, 24249, 48704?\nAnswer: 85189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 - 5*l**2 + 5*l - 4. Let s be c(4). Suppose s = 2*b - 24 - 6. Let q = -74 - -134. Calculate the greatest common divisor of q and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -58*i + 2. Is 30 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 114 - 114. Suppose 4*r + 5*o = -n - 9, -2 = -r + 3*o. Let s(j) = -3*j**2 - 3*j. Let k(m) = -2*m**2 - 4*m. Let i(f) = 2*k(f) - 3*s(f). What is i(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6353 = t - 6747. Round t to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.157106 rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/1*2)\/((1960\/(-8))\/35).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -159*g + 164*g - 22, g - 3*h - 11 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2054968.\nAnswer: 2, 61, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 0.127, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1210100 (base 3) to base 13.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = -q + 2*x - 14, 0 = -q - x - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5124 + 5123.24. Let c = 1220.7993 - 1221.5593009. Let u = c - v. What is u rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 398*z - 2972 = 258*z + 237 + 11 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (21\/(-9))\/((-2)\/(-6)). Let q(x) = -x**3 + 17*x**2 + 20*x - 36. Let z be q(18). Sort z, g, 5, -3 in increasing order.\nAnswer: g, -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 48050075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/(-8)*2\/(-3). Let g(x) = 86*x**3 + x - 2. Is g(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -2. Suppose d - b = -0*d. Differentiate y**d + 1 - y**2 - y**2 wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*j + 1. Suppose -o - 11 = 2*i + j, 0 = -4*i - 3*o - 20. Let h = 13 + i. Solve d + 4 = -5*s, h = -s - 3*s + d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6391429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 n, and 1 a when three letters picked without replacement from avvnvox?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of 5*j**3\/3 + j**2 + j + 1. Let v(n) = n**3 - 8*n**2 + 8*n - 8. Let w be 2\/(-5) + 37\/5. Let p be v(w). Determine s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2084*a**2 + 233*a + 38. What are the prime factors of l(4)?\nAnswer: 2, 3, 7, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12552405 is divided by 2341.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5439888 to the nearest integer?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 4 = -3*k, 4*k + 8 + 0 = -4*l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00212154408 to seven dps.\nAnswer: 0.0021215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-1*(-5)\/(-5)). Suppose -5*l - 5*m = -9665, t*l - 5277 - 518 = -m. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 983 is divided by 66?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x - 10*x**3 + 9*x**3 + 81 - 13*x**4 - 18*x**3 + 18*x**3 to g + i*x**3 + a*x**4 + m*x**2 + h*x and give g.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 2*x - 11. Suppose -x = -j - 44. Let l = 41 + j. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119 + 168 = 5*h + 28*q + 80 - 15, 2*q + 2 = -0 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 459 divided by 153\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-32)\/12)\/4)\/((-30)\/18)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 13 = 2*z, 0*r + 2*r - 20 = 2*z. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 75632, 75640, 75660, 75698, 75760, 75852, 75980?\n\"Answer: o**3 + o + 75630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fr when two letters picked without replacement from rfafaaabfaaaabrab?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) + (sqrt(57)*-3)\/sqrt(3) - (sqrt(19) + 6*sqrt(19)*-2)**2.\nAnswer: -2299 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 477, 3765, 12695, 30111, 58857, 101777, 161715, 241515?\n\"Answer: 474*p**3 - 23*p**2 + 39*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = w + 140. Suppose 9*f - 65 = 268. Suppose -w*v = -f*v + 6. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*s + 79 - 101 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2868 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 12:35 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1472, 5921, 13182, 23135, 35660, 50637?\nAnswer: 67946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7515656\/7 or -1073664?\nAnswer: -1073664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 717468 is divided by 235?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-1\/3)*d)**(-24)\/(d**(-1)\/d)**(-39)*(d**(2\/9))**(40\/9)*(d*d**(8\/5)*d)\/(d*d**2*d) assuming d is positive.\nAnswer: d**(-47552\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 + -11. Calculate the smallest common multiple of u and 2\/(-6) + 75\/9 + 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6626696004.\nAnswer: 2, 3, 37, 47, 151, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -6  (b) 2\/593  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/440 and -9\/130.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -1. Let v(s) = -7*s - 6. Let q(c) = 5*n(c) - v(c). Let b be q(3). Let o(h) = -4*h - 4. Let z(k) = 15*k + 15. Give b*o(p) + 6*z(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.3 - -1.3. Let r = -96 + 862\/9. Which is the nearest to q?  (a) -2  (b) -0.2  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 divided by -14.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t - 825 = -x + 3*x - 840, -5*x + 2*t = t - 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -86, -204, -374, -614, -942, -1376, -1934, -2634?\nAnswer: -3494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the third derivative of 121*x**5\/60 + x**3\/3 - 818*x**2. Let v(o) = -o. What is q(v(i))?\nAnswer: 121*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 23627 - -459865544?\nAnswer: 459889171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 19*h**3 - 2*h**2 - h. What is i(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 947 divide 758390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the third derivative of -1\/120*t**6 - 1\/12*t**5 + 0*t + 1\/2*t**3 + 0 + 2*t**2 - 1\/8*t**4. Let h be 60\/(-130) + (-33)\/13. Determine w(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -32192*t**3 + 10*t**2 - 20*t + 48. Let k be j(-6). Round k to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51063265.\nAnswer: 5, 11, 928423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 73329 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: Expand (43*f + 25*f + 22*f)*(3 - 5 + 3)*(54 - 114 + 56) - 1 + 1 + 2*f.\nAnswer: -358*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {z: 9, v: 1, l: 4, c: 2, g: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 226804688 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -5*r + 435205, -17*t + 13*t + 3*r + 580225 = 0. Round t to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 15 = -0*j + f, 4*j = -4*f + 4. Let t be 8 - j - (-2)\/2. Suppose -74 + 211 = 5*o - 3*y, 5*o + t*y - 105 = 0. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6349960 divided by -3174980?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - h + 4 = 0, -p - p - 2*h - 12 = 0. Suppose -m - 3 = 1. Put m, p, 1 in ascending order.\nAnswer: m, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**3 - a**2 - 82*a - 76. Let b be w(10). Solve 0 = 3*h - 3*k + 25 + 2, b*h + 41 = 5*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of q**2 + 1070. Let h(x) = -4*x**2 - 5*x. Determine f(h(s)).\nAnswer: -8*s**2 - 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**4 + f**4 - 5*f**4 + (1 - 1 + f**2)*(3*f**2 - f**2 + 2*f**2).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -0.3, 0.8, -0.4, -5\/3, -273?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -132, -255, -460, -747, -1116?\nAnswer: -1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -130.6 times 0.4?\nAnswer: -52.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b**5 - 12732*b**4 + 25400*b**3 + 152848*b**2 - 509088*b + 407168 = 0.\nAnswer: -4, 2, 3181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122 (base 13) to base 6.\nAnswer: -525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 2*t + 5*h, -t - 2*h = -0*h - 13. Suppose -4*x + 4*d - 3*d = -5, -15 = -2*x + 3*d. What is the closest to x in -2\/11, t, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28171057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 894080288?\nAnswer: 2, 23, 79, 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + -25 + 19 + 48?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1e (base 16) to base 12\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 4*p + 40. Let b be s(-7). Suppose 139 - 43 = b*d. Let x be (d - 11)\/(3\/(-1)). Solve 2*w - 1 = x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 5*f**2 + 60220*f + 421295 = 0.\nAnswer: -12037, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1715379 bigger than -1715380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 854231 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 358885160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/186 and -61\/64.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -83, 2.5, 55\/12, 3, -1.2 in descending order.\nAnswer: 55\/12, 3, 2.5, -1.2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -6*f**2 - 3*f + 3. Let p(n) = -15*n**2 - 8*n - 4. Let b(c) = 43*c**2 + 38 + 23*c - 66 + 39. Let j(s) = -6*b(s) - 17*p(s). Give -3*h(i) + 5*j(i).\nAnswer: 3*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {d: 12, a: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 30 - 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 133*j - 47*j - 41*j - 46*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 249\/(13\/(-2) + 2). Let t = k - -56. What is the nearest to t in -1, -0.3, -4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of z**3\/6 + 8*z. Let x = -1 - -1. Let w be x\/(1\/1) - -4. What is y(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 91311 (base 13) to base 12\nAnswer: 1063b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 10608640 and 2.\nAnswer: 10608642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(1008)*-2)**2 - (sqrt(35)\/sqrt(5)*-4 + 5))*-4.\nAnswer: -80620 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 6.68716 kilometers?\nAnswer: 6687160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*k - 4 + 4 + (k - 4 + 4)*(2 - 2 - 1).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes after 5:56 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 1)*(4*u**4 - u**4 - 4*u**4) + 5*u**4 - 4*u**4 + 2*u**4 + 4*u**3 - 11*u**4 - 2*u**3 - 7*u + 10*u**4.\nAnswer: 4*u**4 + 2*u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from erreeeeerereereeere. What is prob of sequence rrr?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -5  (c) 20  (d) 2\/29  (e) 0.4  (f) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (1*sqrt(208) + 5)**2 - (sqrt(208) + 1*sqrt(208)*4 + -5)) + -3.\nAnswer: 20*sqrt(13) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46045?\nAnswer: 5, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72\/(-40)*(-1)\/(12\/(-20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2222001221101222 + -11?\nAnswer: 2222001221101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3538\/(-183) + (-4)\/(-3). Is r at least -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 158 = 3*o, 2*o - 3*p + 12 = 116. Let n = -35 + o. Suppose -44 = -4*u - 4*t, -2*u - t = 5 - n. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8 - 4\/(-1)*-1. Solve t*x + 21 = 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.88354 - 120467.11646. Let p = i - -120469.10074. Let d = 1.1 - p. What is d rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of 2*h**2 + 1\/660*h**6 - 1\/330*h**5 + 0*h**3 + 0 - 1\/66*h**4 + 0*h. Find k, given that a(k) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 249215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/7 - (8 + -7 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + c + 5, -3*d - 19 = 2*d - 4*c. Sort d, 30, 1.\nAnswer: d, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z*z**(-1\/4))\/z)**49)**18)**37 assuming z is positive.\nAnswer: z**(-16317\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 1072.6528 to the nearest integer.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 4\/9, 8\/101365?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16495219729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 19*c**2 - 9*c**2 - 4*c - 41*c**2 - 54*c**2 - 24*c**2. Let u(q) = 2*q. What is u(s(m))?\nAnswer: -218*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1125 or 59614\/53?\nAnswer: 59614\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 5*n - 22. Suppose 0*h = 3*h + 5*i - 12, -2*i = -3*h + n. Suppose h*k - 7 = 5. Solve -5*x + 24 = -4*a, -k*a = x + 2*a + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.449971 to 2 decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 944701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2. Let m(u) = -1272932*u. Calculate n(m(b)).\nAnswer: -1620355876624*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20*k*w**3 - 167672*k*w**2 + 6126*w**3 + 17*w**2 - 7*w wrt k?\nAnswer: -20*w**3 - 167672*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 37 = -5*a, a + 7 + 18 = 5*j. Suppose 0 = -3*b + 2*g + 28, j*g + 6 + 2 = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 + g - 3. Let n be u(-3). Suppose n*z + 7 = -17. Let b = z - -13. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-5) - (-24)\/10. Let g = -31 - -34. What is the derivative of -4*z**g - 1 - a*z**3 + 3*z**3 wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 90402?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*r + 24*r + o + 14 = 0, 4*r = -33*o - 784 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -96.6 - -79.28. Let p = 1.52 + i. Let o = -15.899 - p. What is o rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -121374 and -472446.\nAnswer: -593820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**4 + 2*r**3 + 8*r**2 + 10*r - 5. Let d(p) = -2*p + 1. Let q(z) = -5*d(z) - i(z). Suppose q(x) = 0. Calculate x.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -11 and -4\/3941 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34*l + 4*l**2 + 99*l - 56*l + 75*l to the form z*l**2 + r*l + p and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -200, -783, -1750, -3101, -4836?\n\"Answer: -192*t**2 - 7*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14?  (a) -2\/23  (b) -0.39  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2105564 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 241 or 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 82817338 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 412880245 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 2*k**5\/5 + 294*k**4\/5 + 196*k**3\/5 - 13856*k**2\/5 + 23616*k\/5 + 37376\/5 = 0?\nAnswer: -146, -8, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.686136 to three dps.\nAnswer: -11.686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11101100000010100 (base 2) to base 6.\nAnswer: 2331300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -60 + 10126?\nAnswer: 10076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-78)\/(-5 - 21)*(-124)\/(-3). Solve -13*n + o = 72 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -162.3 - -172. Let y = t + -9.3. Let u be 3\/(-6) - 9\/(-14). What is the nearest to u in 2\/9, y, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 10*a**2 - 9*a - 7. Suppose -4*w - 13 = -t, -21 = -0*t - 2*t + 3*w. Calculate q(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -17*x**3 - x**2 + x + 1. Suppose 3*z = 3*a - 0*a - 3, 0 = -4*a - 2*z - 8. Let k be y(a). Suppose 5*o - 24 + 9 = 0. Solve g + k = -o*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -129 + 189. What is the lowest common multiple of v and 1404\/819*((-59)\/(-2) - -9)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -5 + (sqrt(200) - (4 + -1*sqrt(200)) - sqrt(200)))**2 - (-3*sqrt(162))\/((sqrt(9) + (sqrt(9) - (sqrt(9) - ((sqrt(9) - sqrt(144)) + sqrt(9)))))*2).\nAnswer: -369*sqrt(2)\/2 + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -29437*b*n*u + 9607*b + 15*n + 148*u + 37625 with respect to b.\nAnswer: -29437*n*u + 9607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 1068276.\nAnswer: 1068276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/17)\/y**(1\/32))\/((y\/(y*(y\/(y\/(y*y*y\/y**(2\/3))))\/y))\/y**(-3\/2)))**(-27) assuming y is positive.\nAnswer: y**(4635\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 332911 and 4.\nAnswer: 1331644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 3*o**2 - 9*o + 3. Let q be d(4). Let r = q + -13. Let s = -20 + 13. Let t(b) = -3*b**2 + 2. Let u(p) = -10*p**2 - p + 6. Give r*u(c) + s*t(c).\nAnswer: c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a - 25 = -113. Suppose a*z + 2 = 9*z. Solve 3*d - 15 = 0, 4*d - 2 - 14 = z*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -168730*r**3 + 2*r**2 + 340589*r wrt r.\nAnswer: -1012380*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24*-3717705.\nAnswer: 89224920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 125, 320, 515, 710, 905, 1100?\nAnswer: 1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1.011 or -17?\nAnswer: 1.011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -67824 or -67822?\nAnswer: -67822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -36 + cae5?\nAnswer: caaf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence izii when four letters picked without replacement from iiiiiziiz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -16*o. Let n(y) be the second derivative of -5*y**4\/24 - 209*y**2\/2 - 90*y + 2. Let i(q) be the first derivative of n(q). Give a(i(c)).\nAnswer: 80*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**4\/3 + 10*m**2\/3 - 3 = 0. Calculate m.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -98c8 (base 14) in base 8?\nAnswer: -63510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 u when four letters picked without replacement from {w: 9, u: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (7\/(-3) + -1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of 0*j**2 + 0*j**3 - 5\/12*j**4 + 7*j + 0. Let f(k) = -k. Determine f(p(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**2 + 8*z - 96.\nAnswer: 4*(z - 4)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 429079589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1652*d = -1655*d. Solve 14 = -3*t + 5*w, 2*w = -d*t + 4*t + 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 + -28. Let l = j + 20. Solve 0 = -2*i - 4 - l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.15 + 57.85. Let p = t + -104. Let h = p + 44.999864. What is h rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 PM and 11:36 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1086.397 rounded to the nearest 10?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.1040211+348.6\nAnswer: 348.4959789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 21*c - 452. Determine n(22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + 1*sqrt(304) - (-5 + -2 + sqrt(304)))*2*-3)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -121983, -120337, -115877, -107199, -92899, -71573?\nAnswer: -41817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 3*g - 564 + 26, 5*t - 530 = -3*g. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1546 - 1550 + 6208 - 1543 - 1570 - 8*q.\nAnswer: -8*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44 - 640 = -173*d - 4169 - 3781 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 3*d - o + 16 = 0, 0 = d + 2*o + 3. Suppose -k + 6 = 0, 0 = 2*r + 2*k - 42 + 12. Solve d*b - r = -34 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.9 - -137.1. Let n = 135.8 - y. Let c = -3.8 + n. What is the biggest value in -2, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 19*w - 204. Determine h(8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4737462 is divided by 89386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (44*(-5)\/20)\/1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -873, -867, -861, -855, -849?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = 134*q - 144*q - 4*x - 156, 0 = -2*q + 5*x - 12 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.7 - -0.7. Let w = -353 + 356. Sort 4, w, t in ascending order.\nAnswer: t, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11113290.\nAnswer: 2, 3, 5, 19, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 52331819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 757 - 785. Let c(h) = -20*h - 9. Let m be c(-6). Let i = r + m. List the prime factors of i.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0  (b) -0.1  (c) -4.4  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/4*60\/18. Solve 5*c = -5*n + 10, 0 = -3*c + l*n - 2*n + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 584*s**2 + 769*s**2 - 357*s**2 in the form c + m*s**2 + f*s and give m.\nAnswer: 996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -237006.60168 - -3?\nAnswer: -237003.60168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -72.3868113 rounded to 0 decimal places?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 - (3 + 405\/(-5)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4 and -0.1360105193?\nAnswer: 4.1360105193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2725 (base 9) in base 5?\nAnswer: -31143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3.8 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 114, 4, -11, -6 in descending order.\nAnswer: 114, 4, 2, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u and 1 m when four letters picked without replacement from {u: 3, d: 11, m: 5, n: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19800, 39606, 59414, 79224?\nAnswer: 99036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of 10*g**3\/3 + 103*g - 1. Let a(n) = -5*n**2. What is k(a(z))?\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -5\/7  (b) 0  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - 18) + (-3 - -5) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4643 or 4652?\nAnswer: 4643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**27\/(r*r*(r**4*r)\/r*r*r) assuming r is positive.\nAnswer: r**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 624 + 156. Let r = -240 - q. Round r to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1002100 (base 3) in base 2?\nAnswer: 1100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7109\/354 - 2055\/118. Let 0 + 1\/3*s + h*s**2 - 19\/3*s**3 + 10\/3*s**4 = 0. What is s?\nAnswer: -1\/10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2542592, -2542652, -2542710, -2542766, -2542820?\nAnswer: -2542872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30130 is divided by 10037?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**4 - 120*k**3 + 700*k**2 + 480*k - 2880.\nAnswer: 5*(k - 12)**2*(k - 2)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z, -5*x + 2*z = 5*z - 180. Suppose -5*v - w - 59 - 54 = 0, -3*v - 60 = -2*w. Let g = x + v. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - r - 4*z + 4, -r + 3*z = 9. Suppose -144 = -r*l + 489. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - 2*o + 11. Let d(n) = -n - 1. Let m(x) = 6*d(x) + r(x). Let t be m(-9). Which is the third biggest value?  (a) 0.3  (b) -2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) 0.5  (c) 0.01  (d) 2  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -45, 12922, 3, 20, 5 in ascending order.\nAnswer: -45, 3, 5, 20, 12922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28 + 33. Let h(g) = g**3 + 6*g**2 - 2. Let i be h(-6). Let t(y) = y**3 + y**2 - 3*y - 2. Let o be t(i). Solve o = -d*x - 20 - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 52, 4, -1 in descending order.\nAnswer: 52, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 286 divide 122610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 5*c - 3*t - 55, 0 = -c + 2*t + 6. Let i be ((-81)\/(-36))\/(1\/c). Suppose -5*j + 145 = -2*r, 2*r - i = -j + r. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 324\/198 + (-2848)\/(-1056).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 6*h + 14 = q, 4*q + 29 = -5*h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a - 65077 + 65077.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1884935423 to five dps.\nAnswer: -0.18849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101 (base 11) to base 16.\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.5  (b) -1  (c) -1.9  (d) -2  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47, 1, -138, -4.\nAnswer: -138, -47, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31 - -32. Suppose 176 = 2*h - 3*d, i = 3*d - 5. Calculate the highest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2553 (base 16) to base 8\nAnswer: -22523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 14 - 14*z - 8*z + 16*z**2 + 14*z**3 - 13*z**3. Let l(r) = -r**2 - 2. Let u(k) = -28*l(k) - 4*n(k). Factor u(o).\nAnswer: -4*o*(o - 2)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**11*n*n*n**(-7))\/((n*n\/(n**(1\/2)\/n))\/(n*n**10)))**(-1\/48) assuming n is positive.\nAnswer: n**(13\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x*x*(x**(4\/7)\/x)\/x*x)))\/x*x*x**13*((x\/x**(-4))\/x)**(-28\/3) assuming x is positive.\nAnswer: x**(-478\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -245921, -492340, -738759, -985178, -1231597?\nAnswer: -1478016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 243847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -4*t**3 - 2169*t**2 + 62*t - 42. Let c(d) = d**3 + 434*d**2 - 13*d + 9. What is -14*c(r) - 3*k(r)?\nAnswer: -2*r**3 + 431*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k + 2. Let j(o) = 2*o + 3. Let y(x) = -2*j(x) + 3*l(x). Let v be y(-4). Factor w + 1 + v*w + 3*w**3 - 7*w**2 - 2.\nAnswer: (w - 1)**2*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85 + 273 = 5*c + 12*j, -240*j + 238*j = 2 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -481*o**2 - 26 - 83*o + 81*o + 26 to the form y*o**2 + j + i*o and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-6*(-3 + sqrt(9)\/sqrt(3) - sqrt(3) - (-2 + sqrt(3))*5))**2.\nAnswer: -2520*sqrt(3) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**3\/7 + 122904*q**2\/7 - 111674457*q\/7 + 25093213074\/7.\nAnswer: 3*(q - 447)**2*(q + 41862)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5115667 (base 11) to base 3.\nAnswer: -122000022212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + y - 4 = 0, 0 = 10*i - 5*i + 2*y - 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k - 6 + 6 + (2 - 2 + 2)*(-144*k + 14*k - 277*k) + 0 + 0 - 2*k.\nAnswer: -813*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 11*s**3 + 41*s**2 + 40*s + 15. Let m(k) = -5*k**3 - 20*k**2 - 20*k - 7. Let a(d) = -9*m(d) - 4*x(d). Is a(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32501240 is divided by 213?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 402.86 * 4.\nAnswer: 1611.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 1.5, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1113, -1220, -1327, -1434?\nAnswer: -1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -5*a. Suppose -4 = -6*o + 8. Let b(v) = 3*v**o - 154*v + 154*v. Calculate q(b(k)).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26072.02 - 26072. Which is the closest to 1\/2?  (a) -1.3  (b) 2\/5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2*k**2. Let s(j) = -7764892*j + 1. Determine s(b(o)).\nAnswer: -15529784*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*h**2 - 66*h**2 + 10*h**2.\nAnswer: -107*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11661, 5603, -4495, -18633?\n\"Answer: -2020*p**2 + 2*p + 13679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 316685?\nAnswer: 5, 63337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*a*n*y + 2060*a*y - 361*n*y - 2*n + 2*y - 1 wrt a.\nAnswer: -2*n*y + 2060*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -9.5  (b) 2\/13  (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 180086651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -565 - -577. Solve -9*h - m + 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2829)\/4 + (-51)\/68. Let a = l - -711. Find k, given that -1\/4*k**5 - 9\/4*k - 1\/2 - 3\/2*k**4 - 4*k**2 - 7\/2*k**a = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -350 + 168 + 174 - 13*f as u + y*f and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 861737.\nAnswer: 509, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0026878 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2*0.00669\nAnswer: -0.01338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/18)\/((2300\/12)\/(-23))*4.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*f**2 + 128128 + 128152 - 256339)*(0 + 0 - 1).\nAnswer: -12*f**2 + 59","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12556 and 1204?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 21\/5 of a week?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of 5*i**5\/12 + i**4\/24 - i**3\/6 - 225*i**2. Determine f(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 8*q**3 + 4*q**2 - 4*q + 3. Let w(u) = 15*u**3 + 7*u**2 - 7*u + 5. What is -7*l(z) + 4*w(z)?\nAnswer: 4*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 16763077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 15, t: 5}. Give prob of sequence mttt.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2878192?\nAnswer: 2, 29, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1 from -61796064861.\nAnswer: -61796064862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, w: 5, b: 3, z: 2, s: 1, m: 6}. Give prob of sequence wzmz.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-16*(3 + -2) - -15)*34*6\/4\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57 + -120 - -81 - -72.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 6839\/10337 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 5026.\nAnswer: 20104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 55992 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -135*s + 52*s + 21*s + 22*s + 16*s + 19*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -0.5, 1, 0, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -b - 0*j - 1, 2*b - 16 = -j. Suppose -22 = -5*r - b. Find the common denominator of 51\/5*(-2)\/r and 27\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -238 + 429. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 + 88 = 4*d. Suppose 2*m - 32 = d*r, -3*m + 6*r = r - 50. Is (-20)\/m + 5450\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 + 6*u**2 + 2. Let g(l) be the third derivative of l**4\/24 + l**3 - 2*l**2. Let z be g(0). What is the units digit of r(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -383*y - 11302 = -1344 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/7, 3\/67, -28?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.6 - 0.1. Let n = 2.5 + l. Let r = 4 - n. Which is the third biggest value?  (a) -2  (b) r  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 46687 - 46274.38. Round m to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 13) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of 19*z**5\/20 + 5*z**3\/6 + 3*z**2 - 2. Let t(i) = -2*i**2. Determine t(f(l)).\nAnswer: -6498*l**4 - 1140*l**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v**5\/3 + 20*v**4\/9 + 47*v**3\/9 + 46*v**2\/9 + 16*v\/9 = 0. What is v?\nAnswer: -8\/3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -52, -106, -308, -658?\n\"Answer: -74*q**2 + 168*q - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 133 - 129. Suppose -6*v = -3*s - v + 2040, 5*s + y*v - 3400 = 0. List the prime factors of s.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-290)\/(-4))\/29*(-166)\/(4 + -3). Is p not equal to -2907\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000288756 to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 158518172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -20, -6, 0.2 in decreasing order.\nAnswer: 2, 0.2, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 500 = 4*q, q + 399 = 4*q + 5*i. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, z: 6, g: 1, h: 1, w: 1}. What is prob of picking 4 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 t when three letters picked without replacement from fffffftf.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -533 - -1092. What are the prime factors of w?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 220, 226, 232, 238, 244?\n\"Answer: 6*b + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**3 - 41 + 6*f + 41 + 2*f**4)*(-3*f + 3*f - f).\nAnswer: -2*f**5 + 2*f**4 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -116*v**2 + 29 + 116*v**2 - 12*v**4 - 9*v**4 wrt v.\nAnswer: -84*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 + 13*y - 4. Let a be f(-13). What is the second biggest value in 2\/9, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-50323)\/23324 + (-45)\/(-21). What is the third biggest value in 4, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*v - 0*v - 23*v. Solve v = -4*b + 2*b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -927, -936, -943, -948?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 901 = 13*a - 5*j + 902, 5*a + 5*j - 5 - 50 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of -l**5\/60 - l**4\/2 + l**3 + 31*l**2. Suppose 0*c - 5*c + 5*k = 45, -5*k + 39 = -4*c. Does 14 divide q(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q**2 + 86*q + 193. What is t(-26)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 442 is divided by 244?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 8*q**2 - 5*q - 860. Let x(f) = -4*f**2 + 2*f + 397. Let o(a) = 6*n(a) + 13*x(a). Let r(s) = -7*s**2 - 7*s + 1. Determine 5*o(l) - 3*r(l).\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-41*u + 31*u + 29*u)*(2 - 3*u**2 - 2) + 3*u - 2*u**3 - 3*u to the form r + x*u**3 + n*u + q*u**2 and give x.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -15*r**3 + 5*r - 2. Let l be o(2). Let g = l + 449\/4. What is the closest to -0.1 in g, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 34339*n + 69109. Calculate a(-2).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-1\/27)*o**(-4\/13)*o*(o*(o**(9\/5)*o*o*o)\/o)\/(o*o*o**(-2\/75)\/o) assuming o is positive.\nAnswer: o**(39329\/8775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/((-7)\/(-2)) - 1216\/(-448). Solve 0*x = -4*x + a - p, 2*a = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.1  (b) 1\/3  (c) -4  (d) -5422\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 + 102*w**2 - 642*w + 633. Calculate p(-108).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1095, 1094, 1101, 1122, 1163, 1230, 1329?\n\"Answer: a**3 - 2*a**2 - 2*a + 1098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 32769 and 157887?\nAnswer: 1736757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from pvb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 19972 and 109846.\nAnswer: 219692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 25  (b) -3  (c) 1\/2  (d) -123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 15 - (2 - (-5 + 4)). Suppose 0 = h*q + 392 - 2984. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 7, g: 7}. Give prob of picking 2 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 2*g + 510 = 0. Suppose 4*s - 2*s - g = -3*d, -4*d - 4*s = -140. Calculate the remainder when d is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(6*(sqrt(187)*2 - sqrt(187)) - sqrt(187))\/(sqrt(11) + 2*sqrt(1584)) + sqrt(187)\/(3*sqrt(11)*1) + 5 + -3.\nAnswer: 2 + 11*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/20*4)\/((-17)\/((-510)\/(-9))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/12*y**4 + 3\/4*y**2 - 1 + 0*y**3 - 1\/3*y.\nAnswer: -(y - 2)**2*(y + 1)*(y + 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(8\/110*6*45\/108)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -67\/332 - 4\/83. Is -0.021 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*c = 40*c - 256. Calculate the lowest common multiple of c and 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of 86*d**6\/15 - 253*d**3\/3 - 576*d**2. What is the first derivative of w(g) wrt g?\nAnswer: 2064*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1131896.8 to the nearest 1000.\nAnswer: -1132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.151 and 3889.\nAnswer: -587.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22.5 + -22.50000744. What is f rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + -36. Suppose 4*i - 3*b - 23 = 0, 0 = -3*i + b + 4*b + 31. What is the least common multiple of i and (-30)\/j + (-4)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (364\/(-245))\/26*-21?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13542667 by -367.\nAnswer: 36901","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is -292596 (base 13) in base 14?\nAnswer: -1c2377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11204*x + 5750*x + 5454*x + 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 0*v + 2634. Suppose 309 = -3*u + v. Let q be 1\/(-4) - 12\/u. Which is the third biggest value?  (a) -0.4  (b) q  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -51 - -35. Let k be 2 + (-1)\/((-6)\/s). Let l be (-7)\/((-21)\/(-6)) + 1. Is k at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.04427, 3, -0.3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000004657 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.11, -2\/11, -22, 0.226, -0.1, -4?\nAnswer: 0.226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000129629 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -752441 divided by -1?\nAnswer: 752441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -348145715.\nAnswer: 1\/69629143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1118 a factor of 18504018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + 1. Let q(m) = -6*m**3 - 13*m**2 - 7*m - 5. Let k be q(-2). Solve -j + k*j = a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * -666231.\nAnswer: 66623.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*p + 44592 = -24583. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 4*a = -32, 1 = 3*t + 4*a - 7. Let v = t - -6. Let r(m) = m**3 - 3*m**2 - 3*m - 2. Let p be r(4). Is v >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 300556*n - 6*n**2 - 300556*n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -600, -602, -606, -612?\n\"Answer: -i**2 + i - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 - -17.9. Let j = k - -1.1. Which is the biggest value?  (a) j  (b) 5  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 3*u + 4 - 5 + 2. Let r(q) = -399*q + 1185*q + 3 - 397*q - 390*q - 4. Calculate -l(t) - 2*r(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((10 - 2) + -5 - 4) + 0 + 5. Suppose 3*d + 3 = 4*d. Suppose d*f = b*f - 865. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/(-7) + 15\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u**3 - 15*u + 26*u - 17*u - 3 + 3.\nAnswer: u**3 - 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 436 + -295. Is 9 a factor of u\/9 - 2\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 132674.1 kilometers to centimeters.\nAnswer: 13267410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 10841*x**3. Suppose 0 = 3*u - 5 + 2. Let k be i(u). Let c = -6441 + k. Round c to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 4*u**2 + 2. Suppose 5 = -2*o + k, 0 = 4*o + 5*k - 11. Let q be (-1)\/(0 + o\/5). Let v(d) = 7*d**2 + 3. Give q*i(j) - 3*v(j).\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -7*l**3 + 2*l**2 - 1. Let x be h(1). Let p = x - -4. Let k(y) = -4*y - 1. What is the units digit of k(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27 - -50. Suppose 4*w - 619 = 5*v, 2*w = -67*v + 68*v + 317. Calculate the highest common divisor of p and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of -q**5\/60 + q**4\/12 + 173*q**3\/2 - 85*q**2. List the prime factors of z(0).\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*q**2 - 3*q**2 + 5*q**2 + 7*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.054 + 1.144. Let g = l + -0.89. Let d = -0.06 - 2.94. Which is the second smallest value?  (a) g  (b) 1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 10 = -4. Let p = 0 - -5. Suppose -12 = -t*g + 4*g, -3*g = -p*s + 8. Calculate the lowest common multiple of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 90981 - 90975.00006. Let h = -384 - -378. Let q = l + h. What is q rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -12483, -24965, -37447?\n\"Answer: -12482*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 8:14 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llvlllvjsluuslvvuu. What is prob of sequence jlsl?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1398 = -91*a + 2854 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in eighty-seven fifths of a century?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - -1 - (-3 - -6 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -45\/7*z + 0 - 93\/7*z**2 - 51\/7*z**3 - 3\/7*z**4.\nAnswer: -3*z*(z + 1)**2*(z + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60362686 is divided by 444?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 - -25. Suppose 0 = 2*j - c*j + 95. Solve -4*l = -3*q - 2*q + j, -1 = 4*l + q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (35\/49*7)\/(-1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -17 + 46 + 33*f - 24. Let i be l(2). Let o(x) = -72*x**3 - x**2 - 2*x + 3*x + 1 + i*x**3 - 5. Determine o(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.31 - 0.01. Let l = 367.1 - 368.1. Sort f, 0, l in decreasing order.\nAnswer: f, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 9*l - 2. Let m(p) = -45*p + 11. Let z(b) = -11*a(b) - 2*m(b). Let x(t) = 9*t. Give x(z(u)).\nAnswer: -81*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -43430020 (base 5) to base 12.\nAnswer: -160368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-109472)\/(-7464)*(-1)\/(-4)*-2.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -6. Let o(x) be the third derivative of 4\/3*x**n + 0 + 2*x**2 + 77\/30*x**5 - 49\/60*x**6 + 0*x - 8\/3*x**4. Solve o(g) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 150109.7705 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*k*x**2*y - 2*k*x**2 - 76*k*x*y**2 + 4*k*x - 2*k + x**2 + 3*y**3 wrt y.\nAnswer: -8*k*x**2 - 152*k*x*y + 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 487.3 from -0.1.\nAnswer: -487.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/15939 and 59\/8694.\nAnswer: 95634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**1\/(u\/(u**8*u*u)*u))\/(u**(2\/23)\/(u\/u**(3\/5))) assuming u is positive.\nAnswer: u**(1071\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 - (-2 + 5))\/(-1)*-252. What is the highest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 194*n - 1391. Determine f(6).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 5, -2*y - 2*y + 2*n = 94. Let h = 22 + y. Is h*1 - (2 + -59) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/8 + (-1)\/(-12). Let t be 6\/26 - (-707)\/(-2275). Which is the nearest to -1?  (a) 5  (b) x  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**3 - 12*t - 39*t - 6*t.\nAnswer: -t**3 - 57*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -0*a + a. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from {o: 2, m: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/33?  (a) 10  (b) 0.1  (c) -0.3  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129438?\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4*3\/48 - (-17)\/4. What is the biggest value in u, -3\/2, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*w + 97*w + 52 = 544 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -503.942 - -504. Let m = -874 + 874. What is the second smallest value in -1, m, -4, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**5 - z**4 + z**4 - 127*z**3 - 5*z**5 + 127*z**3 + (0 + 2*z**2 + 0)*(-5*z**2 + 5*z**2 + z**3).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1333 + -1361.35. Let f = 0.65 - q. Let g = -27 + f. Is 14 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of -7*s**4\/24 + 5*s**3\/3 + 17*s**2. Let j(l) = l - 1. Let i(o) = a(o) + 6*j(o). Determine i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -74630 rounded to the nearest 1000?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*v**2 + 39942*v - 80044*v + 40102*v + 6*v**3.\nAnswer: 6*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -963768 divided by -321256.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29 - -2. Suppose -d = -4*b, 0 = 3*d - 3*b - 0*b. Calculate the remainder when y is divided by d\/1 - 11*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 438224945 to the power of 1\/3, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 515193318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 PM and 3:10 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.68000228 - 0.68. Round m to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4692 + 1008 = -4*q. Let a = -472 + q. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 467702 = -2*b + 703677, -5*b + 2928434 = -y. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 123, 246, 369, 492, 615, 738?\n\"Answer: 123*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/(c**(2\/95)*c)*c)\/c)\/(c*c*c*c**(1\/10)) assuming c is positive.\nAnswer: c**(-403\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of -o**8\/1344 - o**5\/40 - o**4\/12 + 2*o**2. Let z(l) be the second derivative of x(l). What is the derivative of z(u) wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -6*g**2 + 2*g**2 - g**3 - 5 + 6 + g. Let j be s(-4). What is the smallest value in 2\/13, -1\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105511?\nAnswer: 7, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 29626 or 29630?\nAnswer: 29630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 15*l - 4. Let h(c) = -7 + 3 - 29*c + 9 + 4. Let w(r) = -4*h(r) - 9*z(r). Let p(j) = -4*j**2. Determine w(p(k)).\nAnswer: 76*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/8  (b) 2\/5  (c) 10\/1171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.82 - -1.82. Sort x, 6\/11, 0.4, 9\/4 in increasing order.\nAnswer: x, 0.4, 6\/11, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/1362 and 65\/6.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f - 5. Let v be x(9). Let m = 2 - 0. Suppose 13 = 5*y - m*i, -5*i - 1 + 0 = -2*y. Sort -3, y, v in increasing order.\nAnswer: -3, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*j + 224 = -9*j. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 4*c - 14 = 6, -10 = -3*p + c. Let w(j) = -j + 4. Suppose 0 = 2*v - 3*v. Let s be w(v). Sort s, -3, p.\nAnswer: -3, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2235283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 37, -1 in decreasing order.\nAnswer: 37, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 253393 and 8.3.\nAnswer: 2103161.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -701*q**3 - 124*q + 5976 with respect to q.\nAnswer: -2103*q**2 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c\/(c**2\/c))*c)\/c**(-4\/5)*c**(-1\/6)\/(c\/(c*c**(1\/3)*c*c)))\/((c**2)**(-5\/8)*((c\/(c\/(c\/(c*c*c**0))))\/c)\/(c**(3\/11)*c)) assuming c is positive.\nAnswer: c**(6263\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-130)\/52 + (3 - 0). Let b = -0.03 + 0. What is the biggest value in b, 2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-i + i + 11*i**3)*(4 - 6 + 0) + (-6*i + 0*i + 4*i)*(i - i - 2*i**2) in the form y + c*i**2 + d*i + p*i**3 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/60)\/(7\/140)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-10) - (-4704)\/(-980). What is the closest to 0 in n, -0.02, -2, -0.7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 PM and 1:13 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2*-9*-35*(-10)\/525\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41476064 + 41475521.98926. Let h = j - -542. What is h rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 49272122626.00000139 + -49272122323. Let c = 303 - n. Round c to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -169\/12180 and -169\/7434.\nAnswer: 2155860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6  (b) 1\/4  (c) 7767\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -u - 26, -86 = -3*u + 4*z - 116. Suppose 5 = -2*w + 29. Let b be (-6)\/u*14*w\/126. Solve b*s + 13 = -7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 866086553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*r + 21 = 81*r. Suppose -r*q + 742 = 4*s - q, 3*s = q + 564. List the prime factors of s.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 4  (b) -6  (c) -1  (d) 0  (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-70*r + 67*r + 73*r)*(1 - 3 - 1)*(-1 + 2 - 5).\nAnswer: 840*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3125354 and 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 66234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 4, -1, 1\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 3*m + 8 = -0*m, 0 = 5*h - 3*m - 2. What is the highest common divisor of h and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 4088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -7484, -14968, -22452, -29936, -37420?\n\"Answer: -7484*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 3*a**3 - a**2 - 2*a. Let l(y) = -10*y**3 + 3*y**2 + 7*y. Calculate -2*l(j) - 7*q(j).\nAnswer: -j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*q - 14 = 3*x, -20*q + 18*q = 4*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -6\/7, 5, 16031, 2\/17?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -7*f - 5. Let a be w(-8). Suppose -4*b + a = 3*u, -4*u - 30 = -4*b + 14. What is the units digit of 35*(-2 + b\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -87444 + 43722 + 3*n**3 - 6*n - 8*n**2 + 43724 to the form c + o*n + u*n**3 + l*n**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -5*h**2 - 85*h - 217. What is t(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 364170 to the power of 1\/2, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -210 divided by 3?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 2*v**2 + v + 21. Let p(h) = -2*h**3 + 3*h**2 + h + 43. Let b(d) = 3*p(d) - 5*w(d). What is the remainder when 140 is divided by b(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 326, 662, 1010, 1376, 1766, 2186?\n\"Answer: b**3 + 329*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 - 7. Let t be (0 + -4 - 2)\/(-2). Suppose 0 = -t*l + 7 + q. Solve 19 - 4 = -l*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 548.258 decades in years?\nAnswer: 5482.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58267 = s - 5*z, -116542 = -13*s + 11*s + 2*z. What is the thousands digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-2*sqrt(2057) + 3 + (1*sqrt(2057)*2)**2 - -3*((sqrt(2057) + -4)**2 + 3))*1.\nAnswer: -572*sqrt(17) + 28918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -a**3\/5 + 86*a**2\/5 - 553*a\/5 = 0.\nAnswer: 0, 7, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*m**3 - 2*m**2 + 428.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 - 4*j**2 + 2*j - 2. Let m be z(3). Let l = -3226\/3 + 1076. Which is the third smallest value?  (a) 5  (b) 2\/9  (c) l  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/7859457 and 143\/5239638.\nAnswer: 15718914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 14 = s + 3*x, 2*s = 4*x - 14. Suppose -p + 22 = -4*h, 0 = -p - 5*h - 7 - 16. Put -4, s, p in descending order.\nAnswer: p, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the third derivative of n**5\/15 - n**4\/6 + 3*n**3\/2 - 8*n**2. Let h be j(7). Is (2\/3 - -1)*h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1086 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -671 divided by 224?\nAnswer: -671\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 25 = 3*h - 4*h, 5*h - 89 = -2*o. Solve -3*p + 5 = h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand n**4 + 2*n**4 - 4*n**4 - 2*n**4 - n**3 + n**3 + (0*n**2 + 4*n**2 - 2*n**2)*(-3 + 3 - n**2).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 46, 75, 104, 133, 162, 191?\n\"Answer: 29*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 15 divided by -4542\nAnswer: -5\/1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/9 - 12124*r**2\/3 - 17582002*r + 65492307640\/9.\nAnswer: -2*(r - 380)*(r + 9283)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(143) + sqrt(143) - sqrt(143))\/sqrt(11) + (sqrt(117) + sqrt(117)*1 + sqrt(117))\/sqrt(9) + sqrt(13))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*s - 386 - 379 = 195*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 + 4*m - 1. Let f be h(2). Suppose -4*y + 5 = -2*o - f, 5*o = -3*y - 20. Which is the third smallest value?  (a) -2  (b) y  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2\/5, 0.2, -258?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -1044  (b) 47  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-28)*3\/2\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((-4*-3*sqrt(1872) - (sqrt(1872) + (sqrt(1872) - (sqrt(1872) + (sqrt(1872) - (2*sqrt(1872) + -3)) + sqrt(1872)))))**2 - -5*-3*(0 + sqrt(1872))*3).\nAnswer: 252*sqrt(13) + 226522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*(h**(2\/15)\/h)\/h))\/(h\/h**(-2))*((h*h**(-5)\/h)\/h)\/(h\/((h*h*h**4*h)\/h)))\/((h**(-4))**19)**50 assuming h is positive.\nAnswer: h**(56968\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vgpg when four letters picked without replacement from gpgpgve.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + 4243?\nAnswer: 4300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -43*m - 21. Let l be c(3). Suppose u + 0*u = 367. Let t = u + l. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1111 - 1461 = -745*v + 1153. Let o(d) = -10*d**2 + 4. Suppose 0 = -k - 1 + 9. Let u(s) = 15*s**2 - 6. Give k*o(g) + v*u(g).\nAnswer: -5*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 14 = 66*g - 69*g, -2*l - 2*l + 293 = 21*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 44437.03 litres?\nAnswer: 44437030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 + -0.3. Let r = 10.53 - 10.43. What is the nearest to r in 2\/19, -4, d?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 12*y**3\/7 - 20*y**2\/7 - 8*y\/7 = 0.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from {j: 4, n: 7, z: 2}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1104 and 80.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 - 4*l - 2. Let a be n(6). Let f = a - 9. Solve j - f + 6 = 5*p, 4*p + 4*j = 28 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35016647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -19\/731 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-13))\/2*312\/864?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31358*n + 1836 = 31154*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*d**(-6\/7))*(d*d\/(d\/(((d**(12\/11)*d*d*d*d)\/d)\/d))*d)\/d)**(10\/9) assuming d is positive.\nAnswer: d**(1270\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22734 and 4338826.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d + 115. Let y be a(0). Suppose 16271*n - 16275*n + 2*j = 14, -3*n + 5*j = 7. Sort -2, n, -3, y in ascending order.\nAnswer: n, -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -146 less than or equal to -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*a**2 - 92*a**2 - 88*a**2 - 89*a**2 + 350*a**2 - 62*a**2 - 89*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8887*s + 287*s**3 - 573*s**3 + 285*s**3 - 1.\nAnswer: -s**3 + 8887*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 4*v - 1. Let r(b) = -3*b + 1. What is 7*r(s) + 6*x(s)?\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1999 is divided by 656?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 3 + 0)*(5*n**3 - 4*n**3 - 2*n**3) - n**3 - 13*n**3 + n**3 - 180*n**3 - 51511*n + 51511*n as x*n + z + p*n**2 + m*n**3 and give m.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -7354 (base 9) in base 13?\nAnswer: -25c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 5 = -v, -w - 3*v - 23 = 2*v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 PM and 9:28 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((4\/(-12))\/(6\/54))\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 k when three letters picked without replacement from {x: 1, p: 4, k: 5, u: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -7 and -45\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -273 = 31*p - 87 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 883 = -62*r - 60*r - 1313. Let l(h) = -6*h + 4. What is l(r)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -2. Let h(b) = -b - 3. Let c(v) = 3*h(v) - 2*p(v). Calculate the remainder when 60 is divided by c(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 1\/7  (b) -1\/3  (c) 1  (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*n**3*p**5 - 261*n**3*p**4 - n**3*p - 162*n**3 + 4*n*p**2 wrt p.\nAnswer: -240*n**3*p**2 - 6264*n**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1053 - -2289. List the prime factors of v.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(76) + 1)*1 + ((sqrt(76) + 0)*3)**2).\nAnswer: -4110 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -d780 (base 14) to base 6\nAnswer: -444004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -17 + -20 - -22?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/12*(-6)\/9*-18. Suppose 0 = -4*u + d*u - 95. Solve -5*w + h - 2*h = -u, 3*w - h - 5 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b2483 + -12a?\nAnswer: -b25b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/7?  (a) -3  (b) -5  (c) -1  (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(4\/5)*v**14*v*v)**(-26\/7)*(v**(-3)*((v\/(v*v**(-3\/2)))\/v)\/v*v)**16 assuming v is positive.\nAnswer: v**(-3506\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of 2*q**3\/3 - q. Let a(s) = s + 12. Let j be a(-9). Let t(v) = j*v - 7*v - 4*v + 3*v. What is p(t(c))?\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1919288912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 6*i - 60 = 0. Let v = 16 + i. Suppose -5*h = -0*m - 3*m - 2870, 4*h + v*m - 2264 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 109, 306, 503?\n\"Answer: 197*l - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2176) + (sqrt(2176)*3 - sqrt(2176)) + sqrt(2176) + sqrt(34))\/sqrt(2)*-6)**2 + (2*(-1*sqrt(425) + sqrt(425)))**2 + 2.\nAnswer: 666470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 AM and 9:19 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 81183381 and 1921?\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 + m**2 - m - 1. Let z(f) = -185*f**3 + 0*f + 366*f**3 - 186*f**3 - 3*f + 3*f**2. Calculate 3*h(r) - z(r).\nAnswer: 2*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 4*n + 12, 9*h - 13*h - 5*n - 15 = 0. Solve h = 6*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3709865, 3709864, 3709863, 3709862, 3709861?\nAnswer: 3709860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(2\/33)*d)\/(d*d**1*d*d) assuming d is positive.\nAnswer: d**(-64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 + 0 - -3) + (-1)\/1. Suppose -4*x - 4*q = -6*q - 16, 2*x + 2*q - 2 = v. Let y be 6\/(10\/(-8) - -2) - x. Solve 4*c + y = 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 2*t - 15 = 0. Solve 10 = -t*j + 3*u - 7*u, 5*j + 3*u = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -167*a**2 + 146*a**2 - 1 - 92*a**2 + a - 151*a**2 - 4*a to g*a + m + p*a**2 and give p.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 n when three letters picked without replacement from yiinnyiil?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of -41*s**5\/15 - 89*s**3\/6 - 89*s**2. Find the first derivative of g(c) wrt c.\nAnswer: -328*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 225 and 8955.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3843320982 to 2 decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -710796296 divided by 4\nAnswer: -177699074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10 and -50?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5 and -0.9398693.\nAnswer: -1.4398693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/6)\/((-15)\/135*-27)*-108?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 446773\/3796 - 1530\/13. Is 1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2297955?\nAnswer: 3, 5, 11, 19, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101100110100 (base 2) to base 7.\nAnswer: -11235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 n when three letters picked without replacement from {u: 3, n: 3, d: 7}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 265365, -1, 5 in increasing order.\nAnswer: -3, -1, 5, 265365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.822586 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*h - 10*h + 14*h + 2*h - 1 + 1 + 0 + 0 - h + (-3*h + 4*h + h)*(-5 + 2 + 2) + 1564*h - 778*h - 785*h - 336 to the form g + j*h and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 4896*i + 2315814. Give b(-473).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/sqrt(192) + sqrt(10))\/((sqrt(5) - (-1*sqrt(5) + sqrt(5)))*-5)*5.\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 + 2*z**2 + 9*z - 6. Let l be ((-231)\/35 + 6)\/((-19)\/(-95)). Determine b(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1364 - -292. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/13)\/(s**(-13)\/s))\/(s**3*s*s**(-4\/13)\/s) assuming s is positive.\nAnswer: s**(145\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1068639 divided by 141\nAnswer: 7579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((((2 + sqrt(180) + sqrt(180))*3)**2 - ((-1 + sqrt(180))*3 - sqrt(180))) + 4).\nAnswer: 1260*sqrt(5) + 19569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3189.79 - 0.059738.\nAnswer: -3189.849738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/19125 and 19\/16650.\nAnswer: 1415250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of -g**3\/6 - 3*g**2\/2 - g + 13. Suppose -j = -0*o + 5*o + 44, 5*o - 4*j + 24 = 0. Determine m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k. Let r = -36 + 50. Suppose -3*w = -4*o - r, -w - w + 5*o + 14 = 0. Suppose -5*a - 22 = -3*m, -2 = m + w*a + a. What is v(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 + 7*g + 9. Let d(c) = 3*c**2 + 6*c - 3. Let u be d(-3). Calculate the lowest common multiple of a(u) and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7402 - -325723\/44. Calculate the common denominator of (76\/(-22) - 0) + (-7)\/(-7) and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8834540 or 8834524?\nAnswer: 8834524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2668, -9807, -21690, -38311, -59664, -85743?\n\"Answer: n**3 - 2378*n**2 - 12*n - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 8 + 0 + -4 + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**5 - 80*a**4 + 1104*a**3 - 3008*a**2 - 3328*a + 15360.\nAnswer: -4*(a - 4)**3*(a + 2)*(a + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 245515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 32 = b + 24, y = 2*b - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**3 + 34*o**2 + 223*o + 390 = 0. What is o?\nAnswer: -26, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (1 + 4 - (-17 - -24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -67 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -78876.54.\nAnswer: -315506.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c - 2. Let j be t(1). Let v be j\/12*-698 - 6\/(-36). Let b = 81 + v. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o - 5*o + 3*o)*(3 + 1 - 1)*(4 - 1 - 1).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8472.395l?\nAnswer: 8472395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 361098936 and 196963056.\nAnswer: 2166593616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q. Let n be k(3). Suppose n*j = 2*j + 4. What is the greatest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3\/5  (b) 0  (c) 3\/2  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - 5. Let s be (-14)\/(-12)*(-90)\/(-420). What is the nearest to s in w, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2*d + 3 - 6 - 3*d + 2. Let h(b) be the second derivative of b**3\/2 - b**2\/2 + 2*b. What is -h(w) - m(w)?\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -3*v**2 - 4*v + 2. Let h(u) = -9*u**2 - 11*u + 6. Suppose 3*m + 20 = 8*m. Give m*h(l) - 11*p(l).\nAnswer: -3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*d - 2*x = -120*d - 3*x - 19, -5*d + 79 = 99*x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 3:52 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 14101 divide 4945381659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-19278)\/17850)\/(2\/(20\/(-6)))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1190 - -1191. Suppose -5*v - 3 = -4*v. Let t be (-1)\/(3*(1 + v)). What is the third biggest value in -3\/4, t, z?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -34 or -36?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 125\/48 and -23\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - 11001001?\nAnswer: -11000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 3*n - 14062 + 68902, 0 = 3*n. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*f + 4*f + f)*(4 + 0 - 5) + 2*f - 5*f + 2*f)*(9180*f + 9180*f - 18361*f + 773*f**2).\nAnswer: -2319*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115 = 5*r - 0*r. What is the remainder when ((-204)\/(-3))\/(10*(-10)\/(-100)) is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1953*t + 1946*t + 4*b = -61, 0 = -3*t - 4*b + 9 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -321 (base 12) in base 16?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {d: 2, w: 6, z: 1, v: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-1\/23))**(-1\/66)*w\/(w\/w**15)*w*w**(4\/27)*w)**(-16) assuming w is positive.\nAnswer: w**(-170240\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1416*l**3 + 1417*l**3 - 2825*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -172 - -166.9. Which is the second biggest value?  (a) y  (b) -2\/9  (c) -5  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 992 = 5*y + 2. Suppose -y = -3*x - 9. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3*f - 3)*((-2 + 2 - 1)*(-4 + 1 + 5) + 22 + 3 - 3) as n + r*f and give r.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -3*t - 1339 + 195, -n - 2*t = -234. Let b(i) = -i**3 + 5*i**2 + 3*i + 12. Calculate the remainder when n is divided by b(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-26)\/8)\/1)\/(11*(-33)\/2904).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + 9 = -3*c. What is the first derivative of -7*i**3 + 5*i - 5*i - 4*i**c - 14 wrt i?\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 2*y**3 + 507*y**2 + 3217*y + 1482 = 0.\nAnswer: -247, -6, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 517*m. Let z(i) = -i - 3344. Give z(x(u)).\nAnswer: -517*u - 3344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51041?\nAnswer: 43, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from qqnnnhqhn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 + 8*q**2 - 6*q + 4. Suppose 7 + 7 = 2*y. List the prime factors of g(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16.74124ml to litres.\nAnswer: 0.01674124","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cbcb when four letters picked without replacement from bbcbbimbycbbvyby?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of -f**9\/1512 - f**6\/60 + f**3\/6 - 4*f. Let k(t) be the second derivative of o(t). What is the third derivative of k(n) wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4491268797 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.2 and 11622 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 28*u + 7. Let l(f) = 29*f + 8. Give 6*d(c) - 5*l(c).\nAnswer: 23*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 74696.23 microseconds in seconds?\nAnswer: 0.07469623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*v - 18*v + 4*v)*(2 - 2 - 2*v)*(-2*v + v - 3*v).\nAnswer: -48*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 24983+-0.019\nAnswer: 24982.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of -o**7\/280 + o**6\/24 - o**5\/10 - 17*o**3 - 121*o**2. Let c(n) be the first derivative of z(n). Solve c(y) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 AM and 9:52 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2049237 millilitres to litres.\nAnswer: 0.0002049237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 1 - 5 + 14 - 25*a.\nAnswer: -25*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 11*m. Let d(q) = -16*q**2 + 92*q**2 - 31*q**2 - 21*q**2. Give y(d(a)).\nAnswer: 264*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/t**(-6))*t)**(-5\/8)*((t\/(t*t\/(t*t\/(t*t**(-2\/21)))))\/t)**(-9) assuming t is positive.\nAnswer: t**(631\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(3\/4)*d**(-2\/11))**(-6)*(d**0)**(-8\/5)*d**(2\/9)\/(d**(-1\/3)\/d*d*d*d) assuming d is positive.\nAnswer: d**(-961\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/(-2))\/(((-2)\/1)\/16). Let h(o) = 4*o - 1. Let j(l) = -4*l. Give a*h(t) - 5*j(t).\nAnswer: 4*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4117 - 8231\/2. What is the third biggest value in -5, -1\/5, -0.63, w, -3?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 + -36. Let d = 12 + s. Calculate the common denominator of -57\/10 and -1 + 0 + (-43)\/d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6, -2644.02, -2.11?\nAnswer: -2644.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 282 a factor of 55755066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 350 divided by 175\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2370 and 21480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(90))\/(2*sqrt(180)))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -22 in 4, 1\/6, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 467, 466, 465, 464, 463?\n\"Answer: -n + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 11*c**3 - 5*c**2 - 43*c + 141. What is the remainder when u(3) is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/3)*p*p)**(-1\/47)\/(p**(2\/11))**(-45) assuming p is positive.\nAnswer: p**(12646\/1551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/27192025 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -5*x - 2. Let n(z) = -4*z - 2. Let t be ((-32)\/(-12))\/((-20)\/(-30)) + -7. Calculate t*n(q) + 2*a(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1409.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4355*b*u**3 - 2*b*u**2 + 14*b*u + 816*u**3 - 148*u**2 - u wrt u?\nAnswer: -26130*b + 4896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -4*m, 2*f + 3 = m - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 188691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10664286*p**3 - 6887749*p?\nAnswer: 63985716*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + (46 + -40 - -4 - ((-4 - -2) + 6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 70\/827?\nAnswer: 70\/827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1432, -4016, -7762, -12676, -18764, -26032, -34486, -44132?\nAnswer: -54976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*o - 11 = 19*o + 9*o - d, -d = 1 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of 29*c**5\/60 - c**4\/3 + 7*c**3\/6 + c**2 - 24. Let i be k(1). Solve 5*q - 2*o + 3*o + 20 = 0, -q - 5*o - i = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 PM and 12:15 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 2*l + 44, 0 = 2*v - 2*l - 7668 + 7664. Let a = 106 - 338\/3. Is a >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 4*w + 35, 4*w + 5 = -b - 2. Let n(d) = -3*d - 1. Let m(g) = -4*g - 1. Give b*n(j) + 5*m(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3457953530 rounded to the nearest 1000000?\nAnswer: -3458000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 8, -646, 5, 4, 2 in decreasing order.\nAnswer: 8, 5, 4, 2, 1, -646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 800 or 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2 + ((sqrt(171) + sqrt(171)*4*-4)*6)**2 + ((-5 + sqrt(171) + 3)*1)**2).\nAnswer: -72*sqrt(19) + 8311638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2833 + -1925. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 AM and 11:45 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 143831502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10838630437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/16*4)\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 17 - 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/3 and -65\/2176.\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 937747*h**3*z**3 + 16*h**3 - 70651773*z**3 with respect to h.\nAnswer: 2813241*h**2*z**3 + 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000046474 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -25 - (-4547 - -4534) - (-108 - -1)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18954\/10 - (-22 - 2140\/(-100))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 384262 is divided by 324?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0716521 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of g**6\/120 + g**5\/5 - 29*g**4\/24 - 7*g**3\/3 + 44*g**2. Let r be c(-14). Solve r = 4*i - 19 + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(((i\/(i\/i**(-1\/4)*i))\/i)\/i))**(14\/3)*i*i**(16\/7)*i**4 assuming i is positive.\nAnswer: i**(1139\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 178 divide 553580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -4979*f + 136. Is j(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - -1001221021?\nAnswer: 1001221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 328 + -192. Suppose -4*o + x - 44 = 0. What is the remainder when o is divided by 12*(5 + -6 + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4442 + 12*f**2 + 3*f + 8*f**4 - 55*f**3 + 55*f**3 - 4449 to the form z*f + o + v*f**2 + a*f**4 + w*f**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 - 228*p**2 + 462*p - 7. Give i(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + 10*k**2 + k + 7. Let c(y) = y**2 - 5 + 7 + 2*y**2. Give -7*c(r) + 2*i(r).\nAnswer: -2*r**3 - r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a decade in years?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.49183 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.466 + -4.766. Let w = -2 - -2.2. Is w at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -74a3997 (base 11) to base 7.\nAnswer: -220112300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 46?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1732765 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/1 - -2) + -24. Let o(n) = -2*n**2 + 6*n + 81. Let b be o(-6). Let v = r - b. Solve -14 = 2*j - v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -4*v**2 + 3*v - 3. Let s = -87 + 85. Let m(l) = 0*l**2 - l**2 + 3*l**2 + 3 + l**2 - 2*l. Calculate s*w(r) - 3*m(r).\nAnswer: -r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 927406 * 2.\nAnswer: 1854812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 142c (base 13) to base 3.\nAnswer: 10222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 253223103.773546 and -1?\nAnswer: 253223104.773546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-162))\/(-1*11\/(-66)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 173380149 - 5.0995.\nAnswer: 173380143.9005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1926 + -1310. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -4. Let x = 34 + -34. Suppose i = b - x*b. Solve q + 0*q + b = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1474615273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9808101*n**4 + 1475592*n**2 wrt n.\nAnswer: -235394424*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 189, 1476, 4963, 11748, 22929, 39604, 62871, 93828?\n\"Answer: 183*p**3 + 2*p**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 12*j + 1855. Suppose -p = 142 + j. Let k = -226 - p. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 82010, 81994, 81978?\nAnswer: 81962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 73536 + -9486208\/129. Find the common denominator of -34\/1075 and u.\nAnswer: 3225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + -2. Let a(y) = -y**2 - 6*y - 1. Suppose -3*m - 3*z = -2*m + 5, -3*m - 15 = -5*z. Let g be a(m). Put c, 1, g in ascending order.\nAnswer: 1, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 5*k + 4. Suppose 0 = k*w - 4*w + 140. Suppose 0 = c + 3*h - w, 2*h + 264 = 3*c + 109. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*f**2*g*m - 4*f**2*m - 1231*f*g*m + 931*g*m + 2*g + 2*m + 3 wrt f?\nAnswer: 6*f*g*m - 8*f*m - 1231*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-165)\/(-132)*56\/(-2555).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70*h + 5225 = -69*h. What is the units digit of 3 + h\/40 - (-3)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 525, 582, 627, 654, 657, 630, 567?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -166 + 166.47. Let s = q - 0.17. Which is the second smallest value?  (a) -4  (b) s  (c) -0.62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11303106 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 + 17*f**2 - 19*f + 1. What is g(14)?\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**2 + 2177455*g + 6532410.\nAnswer: -5*(g - 435494)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + s - 42, 11 + 19 = -3*w - s. Let q be (-4)\/(24\/w)*-4. Let r = 15 + q. What is the lowest common multiple of r and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - (7 + 8 + -10 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2201222 (base 3) to base 2\nAnswer: -11111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -25*z - 4*z**2 + 4*z**2 + 1729 + 5*z - 9015*z**4 + 9041*z**4 wrt z.\nAnswer: 104*z**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -4*a + 1. Suppose -a*q = -6*q - 2. Suppose 4\/3*i**2 - 14\/3*i + q*i**3 + 4\/3 = 0. Calculate i.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(2\/3))**20\/(v*v**(-2\/13)*v**(1\/2)))**(-11\/4) assuming v is positive.\nAnswer: v**(-10285\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 0*q + 15490 = q, 0 = 4*r - 3*q + 61963. Let g = 21891 + r. Let i = g - 89613\/14. Calculate the common denominator of 23\/20 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3058705.89108 and 1360.\nAnswer: 3060065.89108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 103746, 103751, 103758, 103767?\nAnswer: 103778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q - 25 - 23 = 0. Suppose -55 = 4*l + l. Let i = q - l. Solve 4*c + 2 = 4*u + 18, i*c + 2*u = 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 304 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 729405.2 nanometers?\nAnswer: 0.07294052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6c3765 (base 13) to base 8.\nAnswer: 11653653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 2 j, and 1 h when four letters picked without replacement from {j: 2, z: 1, u: 2, h: 7, c: 1, q: 2}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -5*l + 113. Let q be w(29). Let b be q\/(-48)*(129\/(-87) - -2). Is 1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -19, -2, -22 in descending order.\nAnswer: 2\/5, -2, -19, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25904950*s**6 - 2*s**2 + s + 3781045 wrt s?\nAnswer: -3108594000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-14.872.\nAnswer: 29.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3381196 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 176272344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}