{"text":"Question: Does 431 divide 29874765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.274913966 to four decimal places.\nAnswer: 0.2749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of -q**5\/20 - 35*q**2 + 5. Suppose 10 = 2*f + 2. Let t(d) = -f*d + d + 4*d. Give t(w(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-3) + 12\/18. Let l = 10 - 5. What is the closest to -1\/2 in s, 2, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1+-1.8599539\nAnswer: -0.8599539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16 - -27. Let i = 19906 + -19907. Let c be 32\/176 - (64\/x)\/i. Solve 0 = -l + 4*b - 2, -l - c = 2*l + 3*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of 526*s**6\/3 - 9631*s**3\/6 + 7032*s. What is the second derivative of g(k) wrt k?\nAnswer: 63120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s + 5*r - 35, -3*s + r - 31 = -96. Suppose -s = 4*u - 6*u. Suppose 14 = 6*k - 5*k. Calculate the lowest common multiple of u and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 + -18.1. Put -0.3, r, 3 in descending order.\nAnswer: 3, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 54, -0.2, -0.6?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -52 * -1.4\nAnswer: 72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 710851897*p**6 + 74659*p**2 + 3*p + 57 wrt p?\nAnswer: 85302227640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9207785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.4 + 1.36. Let a = -0.03999972 - c. Round a to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 divided by -859.\nAnswer: -33\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34606?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 4 - 8 - 11*f + 9. Let m(r) = 7*r - 3. Let q(o) = -5*o**2. Let k be q(1). Let s = k - -10. Give s*x(i) + 8*m(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -6*y**2\/5 - 13068513*y\/5 - 1306851 = 0?\nAnswer: -2178085, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 6*f**2 - 59*f - 84. Determine c(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d + 4 + d**2 - 2*d**3 + 2*d + 4*d**3 - 56*d**4 + 54*d**4 to the form v + z*d**2 + k*d**3 + r*d + h*d**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.243?  (a) 0  (b) 1\/3  (c) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 83 - 1761*w + 84 - 167 in the form h*w + v and give h.\nAnswer: -1761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24 - -49. Calculate the common denominator of ((-4)\/6)\/((-16)\/(-261)) and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1766, 2364, 2962?\nAnswer: 3560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-4))\/((-36)\/96).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**3 + t**2 - 2*t + 6. Let r(i) = 5*i**3 + 2*i**2 - 5*i + 13. Calculate -9*d(l) + 4*r(l).\nAnswer: 2*l**3 - l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*b**2 - 32*b**2 + 8*b**2 - 2*b**2 + 4*b**2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 5 times 14.43\nAnswer: 72.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 117618 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -214\/9 - -1732\/63. Let s = 300\/77 - a. Put 2, s, 4\/3, 0.1 in ascending order.\nAnswer: 0.1, s, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Work out 5686058.975 - 0.01.\nAnswer: 5686058.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-1152)*42\/(-1554)*-111?\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 3 = -63. Let a = -10 + k. Suppose -5*g + 2*o + 2 = 0, -g - 4 = 4*o - 22. Solve 10 = g*b + a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -991 + 991.2. Which is the closest to 0.1?  (a) 4  (b) m  (c) 0.07  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*g**2 - 25 - 6*g**5 + 25 wrt g.\nAnswer: -360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.85056888 to three dps.\nAnswer: 2.851","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Solve 469809 - 48604 = -6905*w for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 86  (b) 0.035159  (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of -c**7\/7 + 23*c**6\/30 - 26*c**3 + 198*c. Find the second derivative of o(p) wrt p.\nAnswer: -120*p**3 + 276*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x - 5. Let r be f(0). Let m be (-4)\/15 - (-2)\/r. Let w = -31788 - -31788.7. Which is the second smallest value?  (a) 4  (b) m  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53027 is divided by 663.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 4 + 4*c + 2*c**4 - 1 - 5 to k*c**3 + p*c + l + r*c**2 + a*c**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 4*v - 37 = 0, -n - 3*v + 19 = -0*n. Let r(h) = -h**3 + 7*h**2 + 3*h - 4. Let w be r(n). Calculate the greatest common factor of w and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 128*y + 1 + 127*y - 383*y + 124*y.\nAnswer: -4*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rhhr when four letters picked without replacement from {e: 5, r: 1, h: 1, n: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express b + 16*b - 3 + 3 in the form i + v*b and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v - 17. Let k be r(-6). Let j be 0\/k - (5 - 1). Put 5, j, -2 in ascending order.\nAnswer: j, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*h**5 + 2288*h**2 - 6738*h - 4 wrt h.\nAnswer: 100*h**3 + 4576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33317185923934 - -33317246127533.999973. Let i = 60203637 - n. Let r = i + -37. Round r to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/(-10) + (-2114)\/604*(-1 - 41\/(-35))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes after 6:11 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26 + 26.4. Let r = 5689 + -5690. Sort r, 5, v in increasing order.\nAnswer: r, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -2*w**3 - 1936*w**2\/9 - 2374*w + 9880\/9 = 0.\nAnswer: -95, -13, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 4*v + 1)*(-2*v + 2*v - v)*(-v**2 + 0*v + 0*v)*(0 - 1 - 2) in the form a + i*v**2 + q*v**4 + y*v + d*v**3 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5469 divided by -263249?\nAnswer: 5469\/263249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 2*r**2 + 3*r - 1. Let w be d(3). Let o = 4 + w. Let f be (-8)\/(-6) + (-4)\/(-6). Solve 15 = -f*m + 5*k, -m + k - 21 = o*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 - 9. Let -r**5 - m + r**3 + 1 + 4*r**2 + r**4 - 5*r**2 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(1 + -1 + sqrt(2736)*2) - (2 + -5*(sqrt(2736) + sqrt(2736)*-2)*6))**2.\nAnswer: 1632*sqrt(19) + 3162820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -162*r = -173*r + 22. Let d(p) be the first derivative of 2\/5*p**r + 4\/5*p + 1\/15*p**3 - 2. Solve d(u) = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 18 = -12*s. Solve -s*d - d + 5*j - 10 = 0, -2*j - 9 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 + 9*m + 57. Let n be k(13). Suppose -97 = -n*y + 4*p, p - 37 = -4*y + 49. What is the first derivative of -r + 15*r**3 - y*r**3 + r + 8 wrt r?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 228 + -216. Let u = 9 + 3. What is the highest common factor of u and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -803205, -803203, -803201, -803199, -803197?\nAnswer: -803195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 10088, 20166, 30244, 40322, 50400?\n\"Answer: 10078*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -17 + (-2 - -18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 PM and 7:39 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22878005.\nAnswer: 5, 17, 79, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 3820*j**5\/7 - 16084*j**4\/7 - 103736*j**3\/7 - 99760*j**2\/7 + 25504*j\/7 - 256\/7 = 0.\nAnswer: -2, 2\/191, 1\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4, 59, -3, -2, 41 in increasing order.\nAnswer: -4, -3, -2, 4, 41, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 - 7*y + 13. Let t be p(8). Let n = 45 - t. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + 6*n + 5. Let d(o) = o**3 + 8*o**2 - 2*o + 6. Let v be d(-8). Let g be (8\/(-24))\/1*(v - 1). Give p(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -1471*n**2 - 7*n + 12. Let x(z) = 3 + 9*z - 7*z - 368*z**2 + 0*z - 4*z. Let u(o) = 2*c(o) - 9*x(o). Is u(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78648 divided by -2?\nAnswer: -39324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 52697938?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 + a**2 - 14*a + 35. Calculate f(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.2 or 858318?\nAnswer: 858318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, -6, -8, -12, -18, -26?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n, 1 z, and 1 o when four letters picked without replacement from zzozzzzzoznn?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(2\/3)*m)**(2\/5)\/(m**(2\/15)*m\/(m*m**(-3))))**(2\/67) assuming m is positive.\nAnswer: m**(-74\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6589, -13177, -19765, -26353?\nAnswer: -32941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7 take away -8.5?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 607 is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 7 = g + 3*f, 0 = -5*g - 3*f - 4. Solve 0 = 2*z - 4*b + 2, -z - 2*b + g = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16.161 - -15.361. Which is the biggest value?  (a) r  (b) 0.6  (c) 7  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 64789 by 967.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2575, 5, -18, 2, -1, 3 in descending order.\nAnswer: 5, 3, 2, -1, -18, -2575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 PM and 2:10 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (174 - 174 - 21*d**2)*(-2 + 2*d + 4 - 3*d) as j*d**3 + n*d + w*d**2 + a and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 AM and 6:48 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i**4\/4 + 453*i**3\/4 - 7569*i**2\/2 + 3672*i = 0. What is i?\nAnswer: 0, 1, 48, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000110703 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 672, 10, 3, -4 in decreasing order.\nAnswer: 672, 10, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + 7. Suppose 0 = 3*d - 3*r + 15, -2*d = -0*d + u*r - 10. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-7) + 10 + (-84)\/(-49). Solve 7*c - 2 = r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002564 rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4130?\nAnswer: 2, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 254 - 234 = 0. Solve l + v = -n, -5*n - 7 - 33 = 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43822, 43824, 43826, 43828, 43830?\nAnswer: 43832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.674, 0.024, 0.5 in increasing order.\nAnswer: 0.024, 0.5, 0.674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 187395*o - 1124384. Give c(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t**5 + 1851*t**4 - 9239*t**3 + 16621*t**2 - 12924*t + 3692 = 0. What is t?\nAnswer: 1, 2, 1846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 316*p - 326*p. Let d be (6\/8)\/(1\/8). Let h be (-216)\/42 - (-2)\/14. Sort d, h, p.\nAnswer: h, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 0.1. Let y(h) = -h - 19. Let u be y(-15). Let g = -0.2 + 2.2. Which is the nearest to g?  (a) u  (b) 0  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -11*r**2 - 4*r - 1. Determine h(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 7:29 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-32)*(9 - (0 + 981\/(-27)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x**2 + 6*x**2 + 11*x**2 - 9*x**2.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**4\/3 - 611*r**3\/3 + 203*r**2 + 611*r\/3 - 610\/3.\nAnswer: (r - 610)*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 135*-5226.\nAnswer: -705510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 4*y + 5. Let s(w) = 2*w**3 - 71*w**2 - 28*w + 27. Let j be s(36). Suppose j*c + 8 = 313*c. Give z(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 - 5*q - 5. Calculate i(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 42, -113, -464, -1011?\n\"Answer: -98*r**2 + 139*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-6*(-5)\/135)\/(356\/366) and 1\/(-8) - 6300\/1568?\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1019188 is divided by 2275.\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 2 + 5541*l - 2718*l - 2432*l.\nAnswer: 391*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-135)\/(-90)*(-4)\/27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3539809 is divided by 170.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6*4\/(-8) + -513. Find the common denominator of 1\/(-2) - m\/168 and -28*(2 + 46\/(-22)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 53, 408 in descending order.\nAnswer: 408, 53, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 72*k*r**3*w**2 - 254*k*w**2 + 464*r**3 + 23*r*w - w**2 wrt k.\nAnswer: 72*r**3*w**2 - 254*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -5*r. Let w(b) = b - 1. Let c(a) = d(a) + 6*w(a). Give c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*16 + 6\/(-6). Let p(u) = u**2 - 13*u - 12. Let v be p(d). Suppose b + b - 34 = 4*m, -b = 3*m + v. Let x(t) = t**3 + 8*t**2 + 6*t - 5. Give x(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 2854?\nAnswer: 11416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -73 + 42023682.\nAnswer: 42023609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-12 - (-7 - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 122*v**4 - 12*v**2 - 3*v - 65198.\nAnswer: 488*v**3 - 24*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(128) + (-1 + sqrt(128))*-5 - sqrt(128) - (sqrt(128) - (sqrt(128) + 4*(0 + sqrt(128))))) + 0 + 1))**2.\nAnswer: -864*sqrt(2) + 1476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 23, 5, 4.\nAnswer: 0, 4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 13*u**3 + 219*u**2 + 34*u - 113. What is h(-16)?\nAnswer: 2159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -41, -31, -17, 1, 23?\n\"Answer: 2*i**2 + 4*i - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 20737845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 189803344 or 189803345?\nAnswer: 189803345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 4*y + 2 = 0, 0 = 2*x - y - 0 - 8. Calculate the lowest common multiple of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8467519 (base 10) to base 15\nAnswer: -b23d64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 + -7. Let j = 18 - d. Let k = 34 - 32. Solve 0 + j = k*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*t + 2*d, 0 = -4*t + d - 0*d + 15. Suppose k = y - 0*k + 3, -4*y - 7 = -t*k. Suppose -2*p + 33 = 5*j, -4*p - 2 = y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94403.\nAnswer: 67, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1328 + -1323. Solve 0 = -o - 3*l - 13, -q*l = -4*l + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 18, 31.7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((6 + -6)\/2)\/(4 + 0). Solve 4*v + d*p + 30 = 2*p, v - 2*p = -15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 720486.44 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 5*l**2 - 31*l. What is p(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2238 divided by -6?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8652 or -3663?\nAnswer: -3663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6196507 is divided by 52.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -i**4*p + 2784*i**2 - 2*i*p - 2*p + 19261 wrt i?\nAnswer: -4*i**3*p + 5568*i - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -97*l - 479. Calculate c(-6).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(325) + sqrt(325) + 1*sqrt(325))**2*-6 - (2 + sqrt(325)*2).\nAnswer: -17552 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -647, -650, -663, -692, -743, -822, -935, -1088?\n\"Answer: -u**3 + u**2 + u - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 579, 1722, 3639, 6336, 9819, 14094, 19167?\nAnswer: 25044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 99206.5 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 15, 25, 39, 57, 79?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5\/(-10))\/(3\/234). Let b(x) = -8*x**2 - 6*x + 6. Let h be b(2). Which is greater: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 128 = -5*z, q - 2 = -3. Let r = z + -20. Suppose -73 = 5*p + 4*o + 34, -r*p + 5*o - 80 = 0. Which is smaller: p or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-432)\/(-900)*(-10)\/(-16) + (-746)\/(-60)*-3\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, 2\/7, -310?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12375.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.6 + 0.1. Let u = 1699 + -1694. Suppose 14 = 2*p + 2*a, 5*a - 18 + 3 = 0. What is the closest to 2 in u, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -252*b**4*m**2 + 3*b**4 - b**3*m**2 - 549*b**2*m**2 + b**2*m - 4*b**2 + m**2 wrt b.\nAnswer: -6048*b*m**2 + 72*b - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uggouygoyriu. Give prob of picking 2 g and 1 u.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 4, 5, 0.\nAnswer: 0, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 368 = 131*x - 528 + 110 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -13*1780\/(-650)*(-3)\/150. Is b bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - 0 - -2)\/(-1). Let a be 2 + y + -1 - -1. Solve a*x + 1 + 7 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of 0*h**2 - 1\/18*h**4 - 5 - 2\/9*h**3 + 3*h + 1\/45*h**6 + 1\/15*h**5. Factor g(x).\nAnswer: 2*x*(x - 1)*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t**2\/5 - 600*t + 8991\/5 = 0. Calculate t.\nAnswer: 3, 2997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -231 - -48?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 2 + (8 - 13) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of -257*s**6\/6 + 14*s**3\/3 - 1602*s**2 - 5693. Find the second derivative of i(y) wrt y.\nAnswer: -5140*y**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -7821\nAnswer: -4\/7821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 83, -4, 4, -42, -3, 0 in ascending order.\nAnswer: -42, -4, -3, 0, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 96 = 4*u. What is the least common multiple of u and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*n**2 - 32*n**3 - 21*n**2.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 2*d = 370 - 386, r - d + 18 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5\/1322 + -1337\/3966. Which is the closest to q?  (a) -0.1  (b) 1\/73  (c) -2  (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 344, 2, 55, 9 in decreasing order.\nAnswer: 344, 55, 9, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1*((-546)\/1547 - (-1485)\/2907)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*r**3 + 36*r**2 + 4*r**3 + 3*r**3 + 15*r**3.\nAnswer: r**3 + 36*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -4*i**3 + 7*i**2 - 6*i - 24. Let w(b) = -5*b**3 + 8*b**2 - 7*b - 23. Determine 7*j(r) - 6*w(r).\nAnswer: 2*r**3 + r**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s**2 + 6143 - 1537 - 1541 - 11*s**2 - 1535 - 1530.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1b271 + 43c?\nAnswer: -1ad34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, d: 1, x: 3, r: 6, c: 1}. Give prob of picking 1 c and 1 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 1 - 0 - (6 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 - 11*f + 18. Give l(-14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -10, 0.5, -50\/47, 0.1, -0.1, 0.12, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -10 - (386 - 376) - 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -52443 (base 6) in base 11?\nAnswer: -535a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-19)\/(-3) - 4\/(-6). List the prime factors of (-14)\/(-7)*p\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 4*f**3 + 6*f**2 - 9*f - 6. Let s be k(-5). Let l = 627 + s. Suppose -5*y = -y - 3*o - 251, -5*y + 3*o + l = 0. What are the prime factors of y?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 9:16 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4\/((-12)\/6)*(8\/10)\/4\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u = u + 40. Suppose a - z + 67 = 5*a, 2*z = a - 10. What is the lowest common multiple of u and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1056*f**3*h**3 + f**3*h**2 + 2*f**2*h**3 + 67*f**2*h**2 - 80*h wrt f?\nAnswer: -6336*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 - 3*o**2 - 62*o + 384. Let j be z(9). What is the greatest common factor of 5694 and j?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-6*(4 + sqrt(7)))**2 - (sqrt(42) - (sqrt(42) + sqrt(42)*4))\/sqrt(6)*2.\nAnswer: 296*sqrt(7) + 829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.57328*0.3.\nAnswer: -0.471984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p - 2. Let o be m(-1). Is o not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25 + -119\/5. What is the second smallest value in 2\/3, a, -0.04?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 12\/7 + (-12)\/(-42). Let q(t) = -t**2 + t**2 + 2*t - t**3 - t**c. Calculate q(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5\/1393548 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*g**3 + 3*g**2 - 2*g**3 + 69 - g**2 + 5*g**4 - 144 + 74 to a*g**4 + w*g**3 + h + m*g**2 + s*g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 79*m + 387. Let d(j) = 66*j + 386. Give -6*d(v) + 5*r(v).\nAnswer: -v - 381","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -46*b + 36. Is h(-5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 171 divide 13 - (18 + -18 + -1868)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 70\/15767 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1104 + -1103.7. Which is the smallest value?  (a) -0.2  (b) -7  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from zxzx.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*i**2 + 10*i**2 - 44 + 81*i**2 + 18*i**2.\nAnswer: 116*i**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u**2 - 17*u - 4. What is l(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 104696*n**2 - 2*n + 1582 wrt n.\nAnswer: 209392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -48061, -192305, -432713, -769285, -1202021, -1730921, -2355985?\n\"Answer: -48082*q**2 + 2*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 91 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = 4*t + 5*r - 0, 3*t - r = -18. Calculate the common denominator of 6\/t*(-3 + 52\/12) and 405\/(-20) - (-3)\/(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 AM and 4:11 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/9)\/s**(-3\/4))**(-45) assuming s is positive.\nAnswer: s**(-155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.059669 times 13\nAnswer: -0.775697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 64\/5 of a millennium?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.09 + 0.49. Let j = -2.1 + g. Let u = j - 5.3. Which is the smallest value?  (a) -2  (b) 4\/3  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -106*q**3 - 3*q**2 + 3*q + 147*q**3 - 5*q**2 - 58*q**3 as s*q + f + b*q**3 + r*q**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5140 is divided by 344?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -10*f**2 - 19*f - 4*f**2 + f**2 - 16*f + 5 + 37*f. Determine p(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -62*u + 17939. Calculate w(289).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -41261513, -41261510, -41261505, -41261498?\n\"Answer: z**2 - 41261514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8858504 > -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -24 - -25. List the prime factors of ((-2552)\/6)\/(-4) + y\/(-3).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/12 + 8\/2. Suppose -3*l + 4*o = -117, v*l - 5*o + o - 152 = 0. What is the greatest common divisor of 385 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/6 - (-51210)\/54. Suppose 7*k - 11476 - q = 0. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*v = -32*v - 18*v + 7*v + 406 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -53529920*q**4 - 13447920*q**3 - 16380*q**2 - 5*q = 0. Calculate q.\nAnswer: -1\/4, -1\/1636, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by 106\nAnswer: -7\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gc when two letters picked without replacement from {e: 1, g: 8, c: 1, o: 8, q: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (146*c + 60*c + 78*c)*(c + 2*c + 5*c) - 4 + c**2 + 4 to the form j*c**2 + w + g*c and give j.\nAnswer: 2273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -5  (c) 10\/21  (d) 5  (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (3 + sqrt(700))**2 + -1*sqrt(42)\/(-1*sqrt(6)).\nAnswer: 61*sqrt(7) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -5*k - 1. Let l(g) be the third derivative of g**4\/4 + g**3\/6 - g**2. What is -3*l(w) - 4*o(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 59263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 964532.3 years?\nAnswer: 11574387.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.03 in 1\/2, -270, -5\/2, 15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 19*m**3 + 15*m**3 - 74*m**3 + m**3 + 0*m**3 + m**3 + 3*m**3 - m**3 - 4*m**3 + (0*m - 2*m + 4*m)*(-3*m**2 + m**2 + m**2).\nAnswer: -80*m**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u - 9. Let k be g(-6). Let f = 7 + k. Let l be 3\/f + (-2 - -1). Which is the biggest value?  (a) l  (b) 4  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1 and -196471545.\nAnswer: -196471544.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50663 is divided by 503?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1014770810 a multiple of 730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -171818 and 0.0014.\nAnswer: -240.5452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 3046*z**2 + 9386*z + 728. What is t(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24378, 49356, 74936, 101118, 127902, 155288?\nAnswer: 183276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 66743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -874 - -883. Suppose 4*n + 2*q - 4*q = 28, -n + 2*q + 1 = 0. What is the remainder when 1 + 55 + n\/(-3) is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 - 98*t + 5424. Calculate w(57).\nAnswer: 3087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -11702*c**2 + 1 - c**3 - c**4 + 6*c + 0*c**4 + 11682*c**2 in the form y*c**4 + z + s*c**2 + m*c**3 + n*c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 3*n**2 + 2. Let u(t) = t**3 + 45*t**2 - 46*t - 2. Let a be u(-46). Let q(i) = -1. Determine a*q(l) - v(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 - 4)*(2*f - f + 0*f) + 10*f + 22 + 2*f - 23.\nAnswer: 10*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1d6f99 + 4?\nAnswer: 1d6f9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 16\/4255 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 403*p - 60040 = -5095*p - 4388 + 98292 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 193975542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**4\/5 - 156*a**3 + 6858*a**2\/5 = 0 for a.\nAnswer: 0, 9, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-9)\/(-9))\/(1\/(-6)). Let k be (4\/h)\/((-2)\/15). Suppose -k*t = -2*t - 84. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**11\/d*d)\/d**(-30))**(-14))**28 assuming d is positive.\nAnswer: d**(-16072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 76 + -76. Suppose -4*p - 3*p + 56 = n. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -387056 or -387050?\nAnswer: -387050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-7 + 2)\/15*-429. Find the second derivative of -84*t**4 - 294 + 151 - 3*t**2 + 298*t + b wrt t.\nAnswer: -1008*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 752 take away -96.72?\nAnswer: 848.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1231 - 803 = -9*z. Let m = z - 223. Suppose 3*b - 4*s + 0 = -16, 0 = -b - s + 4. Solve m*l + 9 - 3 = b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*i + 49*i - 253764. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p**2 - 13314*p + 618792 = 0.\nAnswer: -4484, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*w = -19*w. Let j(y) = -y**3 - 3*y**2 - 5*y - 3. Let q be j(-3). Suppose d = -w*d + q. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1295 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = y + 5, -2*y + 0*y + 4*o - 8 = 0. Let x be (5\/((-120)\/18))\/((-6)\/8). Suppose -1 = 2*g - 13. Which is the closest to x?  (a) 3  (b) g  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 327.96 + -328. Let q = 1018.4 - 1018.359996. Let w = q + z. Round w to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8.4993903 + -0.1990603. Let k = 8.3 - s. Round k to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/2*-2 + 7. Suppose 0 = -2*r - 5*b + 9, b - i*b + 17 = 3*r. What is the remainder when r is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = b + 4*o, -2 = -3*b + 2*o + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1)\/t*(t\/(t\/t**(9\/4)))\/t)\/((t\/(t\/(t\/(t\/(t\/t**(-1)*t)))))\/t**(-9\/2)) assuming t is positive.\nAnswer: t**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29 divided by 3.\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 116*r**4 - 145*r**2 - 1195321*r.\nAnswer: 1392*r**2 - 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 50751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 z, and 1 p when three letters picked without replacement from {p: 1, j: 2, z: 10, s: 1, y: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4476614 and 1106.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -78745 divided by -15749\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 40, 136, 296, 520, 808?\n\"Answer: 32*g**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s - 1. Let c(j) = -33*j - 36*j - 2 + 68*j. Let i be c(-6). Let w(u) be the third derivative of u**4\/12 - u**3\/6 - u**2. Calculate i*w(v) - 3*l(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 3*a**3 + 51*a**2 + 79*a - 160. What is k(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 4*s - 4 - 8, 5*s - 4*o = 33. Solve -2 = -3*b - s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69980 rounded to the nearest 100?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 500365 to the power of 1\/2, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 2 = 3*w + 8, 4*w = -12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 + 8*s**2 - 7*s + 3. Calculate j(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2*(-2 + (-33)\/(-18)). Let z = -4 + 25. Which is the smallest value?  (a) z  (b) -5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 386179, 386187, 386195?\nAnswer: 386203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.02, 14.8, 3\/7, 4, 1\/4, -57?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**5 - 50*k**4 + 286*k**3 + 338*k**2.\nAnswer: 2*k**2*(k - 13)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -30*n**2 + 115*n - 60. Let q(y) = 15*y**2 - 58*y + 30. Let i(l) = -5*q(l) - 3*r(l). Suppose i(p) = 0. What is p?\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -42.9 - -46. Round x to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 63*k**2 + 71*k + 133. Calculate d(-2).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 4*b**2 - 12*b + 2*b - 9*b = 0. Calculate b.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of f**4\/6 + 7*f**3\/6 - f**2. Let i(o) = 0 - 5377*o - 5378*o - 5 - 1 + 10752*o. Give 2*d(j) + 3*i(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nj when two letters picked without replacement from kjwbwkwkjwnb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 52 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11004631?\nAnswer: 11, 907, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*i + 30 - 4 = 0, 5*j - 65 = -5*i. Let c = -9 + j. Suppose c*b - 3*k = 28, 3*b - 5*k - 34 = -13. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -165 - -114. Let q = 0.93 - 49.93. Let r = q - i. Which is the third biggest value?  (a) r  (b) 4  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 293*a + 3849 = 626 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kyk when three letters picked without replacement from ykyykykkyykkyykyykkk?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 10703*u**2 + 76*u + 1179. Is y(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 4*p - 380, 6*b - 5*b - 94 = -p. Suppose -4*d + 190 - 46 = 0. What is the highest common divisor of p and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 14*s**2 - 34*s. Let u(x) = -5*x**2 + 11*x. Let j(b) = -3*q(b) - 8*u(b). Find h, given that j(h) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14005643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9.5 - 0.5. Let q = t + -5. Let m = 0.1 - 0. Is q >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((0 + sqrt(468))*1 - (sqrt(468)*-1 + -4)).\nAnswer: 6 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 168, 319, 442, 531, 580, 583, 534, 427?\n\"Answer: -w**3 - 8*w**2 + 182*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 561 and 12801.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -5*n - 61, n + 7 = -2*n + 5*x. Let b(l) = 2*l**2 + 18*l + 2. Let i be b(n). Solve 20 = 2*d + i*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**2 + 14*f + 21. Determine a(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23568 + -83077202\/3525. Let o = a - 56378\/38775. Calculate the common denominator of 87\/2 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7757836.11 + 1.\nAnswer: 7757837.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -2*p**3 - 21*p**2 + 2*p + 11. Let g be 3\/2 - (-75)\/(-6). List the prime factors of f(g).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 2, 3, -25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -67 + 66.8. Let p = -3.1 + 3. Let q = 85\/224 + -3\/32. Which is the closest to q?  (a) p  (b) r  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((-6*(sqrt(72) - (sqrt(72) + sqrt(72) + sqrt(72) + -1)) - (3 + sqrt(72)*-3)**2) + -4)*3 + 2).\nAnswer: -9995 + 2700*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 5*p + 9. Let o be -2 + (p\/2 - 94). Let j = o + 282. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -0.5  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (1 - -7) - (-13 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 212975120 to the nearest integer?\nAnswer: 14594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -7\/11, -1\/3, -3\/4, -5, 18, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of 2*u**7\/21 - 4*u**6\/15 - 172*u. Factor v(f).\nAnswer: 4*f**4*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 4, d: 2, k: 4}. What is prob of sequence dkk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2684?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.941853 millennia to months.\nAnswer: 11302.236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -y**5 - 817*y**4 - 223579*y**3 - 20787055*y**2 - 80491336*y - 79610044 = 0?\nAnswer: -271, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2117 + -101\nAnswer: -2218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-18)*(-121)\/(-242)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12863 + 12867. Suppose -8 = 199*r - 200*r. Suppose -22 + 6 = 4*q. Sort r, m, q in decreasing order.\nAnswer: r, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(143) - 1*sqrt(143))*5)\/(5*3*sqrt(11))*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 274, 547, 820, 1093?\nAnswer: 1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of 204*k**3 + 84. Let x(i) = i. Give x(v(m)).\nAnswer: 612*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 38935 + -272547\/7. Let n = 0.16 - -9.84. Which is the nearest to n?  (a) 1\/6  (b) -3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6280822.\nAnswer: 2, 661, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6*(1 - 8\/4). Let x = q - -25. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.1?  (a) -3  (b) 33  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1823548 and 5787.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 42199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.2  (b) -6  (c) -1\/6  (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -8*t - 135. Let v be d(-16). Let z(r) = -r**3 - 8*r**2 - 12*r + 5. Let m(o) = o - 1. Let k(i) = -4*m(i) - z(i). Let y be k(v). Is y < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 297*j. Let y(c) = -147*c**2 + 2*c. Determine b(y(h)).\nAnswer: -43659*h**2 + 594*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1215 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -9*a + 40. Let z(x) = -4*x + 20. Suppose -5*d - 5*d - 70 = 4*d. What is d*z(h) + 2*m(h)?\nAnswer: 2*h - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49089.89 milligrams to grams.\nAnswer: 49.08989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 22 - 0\/3 - -2. Let s be (66\/a)\/((-1)\/(-8)). Suppose s = 2*z - 176. What is the greatest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s + 9. Let z(o) = -5. Let i(x) = -6*r(x) - 11*z(x). Let g = 9580 + -9459. Calculate the remainder when g is divided by i(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20 - 18. Let s be z\/((0 - 3)\/(-6)). Which is the third biggest value?  (a) 1  (b) -9  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2377 (base 8) to base 6\nAnswer: 5531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18643 - 18666. What is the biggest value in -7, -3, z, -0.3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 99*h**2 + 20*h + 5. Let z be u(-5). Suppose -3*x + z = 4*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 19*u**2 + 6*u + 27. Does 10 divide j(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 16*x. Let d(u) = 6*u + 5*u - 4*u - 3*u + 6*u. What is d(l(c))?\nAnswer: 160*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wmdodskm. Give prob of sequence kmm.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 15 - 0. Solve z - 2*y + 8 = -o*y, -4 = 4*z + 5*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i**(-14\/9)))\/(i*i**0\/i))\/(i\/(i**(1\/4)\/i)*i*i**(-6)*i) assuming i is positive.\nAnswer: i**(137\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -324 - -326. Let s = 0 + 3. Factor -3*y**s - 9*y**2 - y**p + 13*y**2 + 0*y + 6*y.\nAnswer: -3*y*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -d + 38*d**2 - 20*d**2 + 12 - 20*d**2 as l + k*d**2 + h*d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (126\/(-28))\/(6\/(-472)). Suppose 0 = 3*w - 12*w + 27. Suppose 3*s - n = -w*s. What are the prime factors of s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of o**7\/105 - o**6\/30 - 2*o**5\/15 + 2*o**4\/3 + 6*o**2 + 3*o. Factor i(h).\nAnswer: 2*h*(h - 2)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.9 + 0.90000035. Round a to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 4*o. Suppose 5*f - 19 = -2*d, 0*d = f + 4*d + 7. Suppose 1640 - 1625 = f*n. Let m(v) = 4*v. Calculate n*z(x) - 2*m(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 468930?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*(-3)\/6*32. Suppose 4*w - 20 = -3*a, -3*a + 0*w + n = w. Calculate the remainder when 35 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1098 and 13221567.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2*(sqrt(156) + sqrt(156)*-1) - sqrt(156))\/sqrt(12)*-3.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.087*-1.4.\nAnswer: 0.1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 5*y**2 - 2*y. Let p be g(-2). Suppose l = -3*l - 2*j + p, 3*l + 5*j = 18. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20230 (base 4) to base 15.\nAnswer: -271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130931206?\nAnswer: 2, 7, 373, 25073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -14*g**2 - 1159*g + 1161. Give t(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - -17. Sort 2, -4, 0, a.\nAnswer: -4, 0, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 PM and 4:24 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**3 + 10*s**2 + s - 3. Let a be m(-5). What is the remainder when (11\/(-2))\/(3\/(-6)) is divided by (-46)\/a + (-6)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -4*n - 0*a, -2*n = -4*a - 30. Suppose b + 4 = n. Suppose 0*q = 3*q + 3. Sort b, -4, q, -5 in descending order.\nAnswer: b, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 - 4*b + 12. What is m(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5630 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 105988 smaller than -2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*s + 9 = -20*s, 3*s - 669 = -3*o. What is the greatest common divisor of o and 1243?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -11  (b) 4  (c) 2\/7  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*f - 58*f = -121. Suppose 12*q - 4 = f*q. Solve q*y + 12 + 0 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38475, -38510, -38581, -38694, -38855?\nAnswer: -39070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19519 is divided by 18777.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 3 + 7. Suppose 0*j = -3*j - 9. Sort b, -5, j in decreasing order.\nAnswer: b, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 8668 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 4075058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*l + 1328 = 23*l. Let q be (3\/(-2))\/(l\/40 - -8). Calculate the common denominator of 89*(q\/70)\/1 and 21\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -49.95 + -0.05. Let p = r - -50.0000019. Round p to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24746964 divided by 8248988.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + m = -9*m - 15, 2*b - 22 = 2*m - 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)\/(sqrt(4) + sqrt(32)\/(sqrt(8)*1)))**2 + 1.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + 2 + 22\/(-8). Which is the nearest to 2?  (a) g  (b) 5  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -142452*c + 142462*c - 50 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3638*n**2 + 4100*n wrt n?\nAnswer: -7276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48772, 5, 0, -4, 2.\nAnswer: -4, 0, 2, 5, 48772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**0*p)**(-38)\/((p*p**(-2\/5))\/p*((p**(-3\/16)*p)\/p)\/p*p) assuming p is positive.\nAnswer: p**(-2993\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 smaller than 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 2, -2\/3, -0.4, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13770 is divided by 511?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) - (-1 + sqrt(720)))**2 + 1 + sqrt(5) + -5 - (6*(1 + sqrt(1280)))**2.\nAnswer: -46119 - 1151*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*s + 22*s - 259641. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**1)**(-21)\/((t\/(t**(1\/5)\/t))\/t*t*t*t\/(t*((t\/(t**(-1\/7)*t))\/t*t*t)\/t)*t) assuming t is positive.\nAnswer: t**(-863\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24 - -7. Let g = i + -30. Let z be g\/(-2) - (-95)\/(-10). Let u(o) = -o**3 - 9*o**2 + 11*o + 9. Give u(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.4, -154 in ascending order.\nAnswer: -154, -5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4444*q**3*x - 13031071*q**3 - 19*q**2 + 3651*x**2 wrt x?\nAnswer: -4444*q**3 + 7302*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -42628, -42632, -42636?\n\"Answer: -4*u - 42624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32 - 51. Suppose 0 = -5*i - 2*w - 452, 3*i = 111*w - 114*w - 264. Let h = a - i. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 11*o**2 + 383*o - 8209. Give x(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 405 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 790?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1691, -1696, -1691, -1676, -1651, -1616?\n\"Answer: 5*a**2 - 20*a - 1676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 12*x - 9*x. Suppose -x = -5*f + 5*k, 3*f - 5*k - 11 = -0*f. Factor 0*m**f - 4\/9*m**3 + 2\/3*m**5 + 0*m + 0 + 2\/9*m**4.\nAnswer: 2*m**3*(m + 1)*(3*m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, z: 4, w: 4, b: 3, r: 3}. What is prob of sequence rhrr?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j + 5*o, 7324*j - 14648*j + 4*o + 23 + 19 = -7329*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 4 = -2*d. What is the highest common divisor of 121 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -240029 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 374 divide 221050261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -49 - -53. Suppose -5*b = -i*p - 3249, 3*b - 1955 = -2*p + 3*p. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 20*o**2 + 11*o + 11. Let x(s) = -7*s**2 - 4*s - 4. Let n(i) = 4*v(i) + 11*x(i). Let r(c) = -4*c**2 + 3*c**2 + 2*c**2 + 2*c**2. Calculate r(n(t)).\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48 - 8 = -4*r - 5*n + 2, 0 = -13*r - n - 93 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2. Suppose 2*u = 5*u + 3*x - 15, -5*x + 20 = 0. Let j be 2*(u - 2\/4). Let b be -3*((-2 - j) + 4). Calculate h(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17487 is divided by 3201.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2. Let r(w) = w - 3. What is 3*r(y) + 4*z(y)?\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -46*p + 1390. Calculate q(23).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*q + g + 3*g - 16, 5*g - 20 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.0482 - -4239\nAnswer: 4238.9518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*a**2*n**3 + 71*a**2*n - 19*a*n**3 - 15*a*n**2 + 121*n**3 - 32 wrt n?\nAnswer: 18*a**2 - 114*a + 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 352 = 4*a + 100. Let i = -45 + a. Calculate the remainder when i is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 AM and 2:20 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*y + 1480*y**3 + 1430*y**3 + 26*y**2 - 2926*y**3 + 1 to the form q + w*y + x*y**2 + o*y**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 18, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 3*y**2. Let p be 282\/14 - ((-4)\/(-7))\/4. Suppose -11*s + 13 = -p. Let z(d) = s*d**2 + 15*d + 3*d - 18*d. Calculate j(z(t)).\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6844882nm to meters.\nAnswer: 0.0000000006844882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j - 42 = -12. Let y be j\/(-27) - (-1)\/(-3). Which is greater: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 235*c - 231*c - o = -5, 4*o + 14 = -c. What is the closest to 0 in -0.4, -170, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 343 = 28. Factor -n*r**3 - 75*r**2 - 5*r**4 + 179 + 125*r - 179.\nAnswer: -5*r*(r - 1)*(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -4*d**2. Let t(c) = 1367080*c. Determine h(t(s)).\nAnswer: -7475630905600*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2 = 0, 2*s + 3*x = -0*s + 842. Does 34 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-41 - -47)*(-4)\/(-6). What is the first derivative of -2*w + 36 - 2*w + w + g*w - 114*w**2 - 125 wrt w?\nAnswer: -228*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-84)\/26)\/((-1599)\/6929)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (63644\/(-49) - (-1)\/(-7))\/(-1). Suppose l = 6*u + 999. What is the remainder when 697 is divided by u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - -10)\/((-475)\/77520*-34).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5313.264ml to litres.\nAnswer: 5.313264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s**3 + s**2 - s. Let t(b) = -8*b**3 - b**2 - 2*b - 2. Calculate -l(q) - t(q).\nAnswer: 10*q**3 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 5  (b) -0.01  (c) -51  (d) -0.5  (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 4*h - 28 = 0, 994 = -82*s + 3971*h - 3969*h for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1564, -3287, -5082, -6949?\nAnswer: -8888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1367684.158 * -0.1\nAnswer: 136768.4158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 139 a factor of 17119177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 5*m + 5, 6*z + 7 = 3*m + 5*z. Suppose m*v - 5*c = 0, 2*v - 6 = -0*v + c. Let k = -65.4 - -65. What is the biggest value in k, v, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - p)*(1 - 1 + 2) - 7*p - 3*p + 0*p + (-665 + 333 + p + 328)*(2 - 2 - 1) as d*p + f and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/50 + (-158)\/(-10). Calculate the common denominator of (-6 - (-2 + -26))\/(q\/(-6)) and 8\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((-100)\/(-5))*1*-4.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1099123*0.8\nAnswer: -879298.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 5*a**2 - 11*a + 21. Suppose 5*r + 47 = -0*r + 3*k, -4 = -k. Let j be l(r). Suppose j = -11*f + 8*f + 564. What are the prime factors of f?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -11*g - 3*g - 96*g**2 - 203*g**3 + 19*g + 202*g**3 + 92*g**2 + 5. Suppose -b + 6*b = 5*j + 5, -21 = 5*j - b. Give p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -2, -5*v - 4 = -5*x + 6. What is the closest to v in 2\/3, 0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 - 2*x + 1. Let o be n(-4). Let p(i) = 2*i**2 + i - 3. Suppose -5*a = 8 + 7. Let k(v) = -4*v**2 - 2*v + 7. Give a*k(z) + o*p(z).\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - -1 - (1 - 4). Solve -t*m + 11 = 5*x - 0*x, 3*x = 5*m - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of 62*k**2 + 1\/40*k**6 + 0 + 9\/20*k**5 + 0*k - 9\/2*k**3 - 1\/8*k**4. Solve v(c) = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61857217 a multiple of 2147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42\/(-7)*(-243)\/(-13608).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9591808409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1129086420*m**6 + m**2 - 532723*m - 20 wrt m.\nAnswer: 135490370400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2123*x + 1526*x = 17910 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-250)\/15)\/5)\/(1215\/(-5832)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 2*m**5\/3 - 146*m**4 - 2*m**3 + 1310*m**2\/3 + 292*m = 0.\nAnswer: -1, 0, 2, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -130, 251, 2 in descending order.\nAnswer: 251, 2, -5, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 11:46 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6915749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 129 at most as big as -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2690 is divided by 245.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2196\/(-45)*(-960)\/(-384)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 1516*c + 26933. Determine g(18).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 23*j**2 - j**3 - 4*j**2 + 2*j**3 - j**2 to the form h + z*j**3 + u*j**2 + c*j and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 682489*l**3 + 8*l**2 + 7164097*l wrt l?\nAnswer: 4094934*l + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*r**3 - 19*r**2 - 16*r**2 - 19*r**2 + 81*r**2 - 27*r**2.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 + 9. What is the tens digit of (112\/21)\/(k\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24 + 9. Let j be (a\/(-9) + -2)*-3. Suppose 0 = 9*w + 15 - 6. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -96*l**2 - 1019*l + 414. Calculate p(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n + 6. Let t be l(-16). Suppose -2 = 3*u + x, 5 + 3 = 2*x. Let h be 4\/t + u\/(-5). Solve h*v = -5*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32.115501 - 0.5.\nAnswer: 31.615501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from adloooddlaoal. Give prob of sequence la.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 + -10. Let l(a) be the first derivative of d*a + 2 - 1\/2*a**2. What is l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 739545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -126*p**3 + 7*p**2 - 505*p + 5. Let a(i) = 63*i**3 - 3*i**2 + 252*i - 2. Let n(s) = 5*a(s) + 2*x(s). What is the second derivative of n(c) wrt c?\nAnswer: 378*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130733198 is divided by 4354.\nAnswer: 4348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -1 + sqrt(2057))**2.\nAnswer: -132*sqrt(17) + 2093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/88 and -45\/1187248.\nAnswer: 13059728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 3\/8 and 0.0691 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/18)\/((-20)\/(-90))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-10 + 3 - 2 - 2) + -4 + 18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 90 and 57303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 510 and 43951290.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9.3?  (a) -0.1  (b) 1  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o\/(o*o\/o**(-2\/69)))\/o)\/o*o*(o**(-3\/4)\/o)\/o assuming o is positive.\nAnswer: o**(-1043\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 + 2. Let o(d) = 2. Let x(a) = -2*o(a) + 2*p(a). Let m(r) = -6*r**2. Let s(k) = -5*m(k) + 16*x(k). Let l(n) = 46*n**2. Calculate s(l(g)).\nAnswer: -4232*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -20  (b) 12\/11  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*c + 3*c + 6*c)*(-3 + 0 - 4)*(0*c**2 + 3*c**2 - c**2).\nAnswer: -266*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -170300 divided by 25?\nAnswer: -6812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2 - 1 = x, d + 14 = 2*x. Suppose -4*c + 55 = q, 4*q - 75 = -x*c + 2. Let j = 325 + -208. Calculate the greatest common factor of c and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 - 17*n**2 - 123*n + 30. Let t be u(23). Calculate the highest common divisor of t and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 2*y = 0. Suppose p + 2*p + 9 = y. Let v be (-2 + (-2 - p))*-1. Which is greater: v or -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -28, 9, -60 in decreasing order.\nAnswer: 9, -28, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 1804  (c) -0.01  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000030624 to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1211927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.0954 + -0.0954. Which is the fourth biggest value?  (a) -9  (b) 0.6  (c) u  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-18)\/15)\/((-2)\/(-10)). Let z(p) = -4*p**3 - 13*p**2 - 8*p - 1. Let d(j) = -j**3 - j - 2. Let b(c) = 3*d(c) - z(c). Is b(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 62 - 59. Suppose 0 = 2*l - 3*j + 20 - 125, i = -j. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -10\/1443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19040 by -28.\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4*5\/40 + 58828\/1400 + -43\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1888 smaller than -1889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.2 - -2.8. Which is the closest to 2?  (a) -3\/2  (b) q  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1419)\/387 + 62\/(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 0.5  (b) -1\/5  (c) -37\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13065801 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 (base 10) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -56*i**6 - 41*i**3 + 350049*i**2?\nAnswer: -6720*i**3 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/3235 and 63\/2588.\nAnswer: 12940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 535177.\nAnswer: 17, 31481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14101 and 2853899?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 + 8*v**2 + 7*v - 4. Let b be p(-7). Let l = -3 - b. Let n(g) be the third derivative of 7*g**5\/60 - g**4\/24 - 5*g**2. What is n(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 876.0402t?\nAnswer: 876040200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -63*w**3 - 4*w**2 + 5*w + 6. Let j be n(-5). Let q = 21222637\/14 + -1508143. Let x = j - q. What is the common denominator of -49\/2 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/4)*h**(2\/7))\/((h\/(h**1*h)*h*h)\/(h*h**3)) assuming h is positive.\nAnswer: h**(99\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 AM and 5:36 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106 = -62*s - 142. What is the closest to 0.1 in -5, s, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: b\"What is the sth term of -90535, -362137, -814801, -1448521, -2263291, -3259105, -4435957, -5793841?\n\"Answer: s**3 - 90537*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.43 - -1.4307. Let x = n + -0.3007. Which is the third smallest value?  (a) -4  (b) 3  (c) x  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16081253 is divided by 1590?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*3*sqrt(2)*-2*6)**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 2 l, and 1 r when four letters picked without replacement from hhrrllhhhrlzthhthhh.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 49 = 5*g, -3*y + 4*g = -18 - 59. What is the smallest value in 6, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64\/(1\/(-3)*(-149)\/((-8046)\/(-81))).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7761 is divided by 2587.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 242 = -3*p, -3 - 392 = -5*p + 5*z. What are the prime factors of ((-6 - -44)*3)\/(12\/p)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 2095074 = 5*t, 2337830 + 455602 = -4*f + t. Let o = 398358 + f. Round o to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 93904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 184896?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9\/(-2 + (-5 - -8)). Solve -6*d = 39 - k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -4*z + 645, 3*z - 15 - 465 = -w. Suppose -z*m + 161*m - 4 = 0. Solve 0 = 4*t + 3*r - 10, -5*t - m*r + 12 = -4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 4*r - 17. Let i(t) = 2673*t + 1. Give i(d(z)).\nAnswer: 10692*z - 45440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2 + 4422366*k + 22111905.\nAnswer: -3*(k - 1474127)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 800, 1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, s: 2, f: 2}. Give prob of sequence sfsf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 886381?\nAnswer: 886381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.7 in -8, 0, -14392, -2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3426.52 + -3439.02328. Let u = p - 0.29307. Let n = u + 12.8. What is n rounded to four dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 197*z**5 + 76*z wrt z.\nAnswer: 3940*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 - 11*j**2 - 23*j - 11. Calculate the remainder when t(13) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/20, -0.02, 13, 8.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**3 + 26856*m**2 - 107508*m - 134360.\nAnswer: 4*(m - 5)*(m + 1)*(m + 6718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 482465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 424 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 480 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 371*i + 3 = 374*i. Is -2\/189 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-10)\/7 - 27870\/(-105) is divided by 252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 4) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.6191329 to 1 dp.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.8 - -4.2. Let j = p - 5. What is the second smallest value in -2\/11, 1\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*b**3 + 3*b**4 - 4*b**3 + (-2 + 1 + 0)*(0*b**4 + 0*b**4 - b**4).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-2\/9))\/j**1*(j*j\/(j\/j**(2\/7))*j)\/j**(-6)*((j**(-1\/3)\/j)\/(j*j**(-2\/13)*j))\/(j**(-1)*j**(-6\/5)) assuming j is positive.\nAnswer: j**(29009\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -404131314?\nAnswer: -404131320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1736 - -1766. Calculate the remainder when j is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -5762*f**2 + 430*f - 430. Let c(p) = -80*p**2 + 6*p - 6. Let o(i) = 215*c(i) - 3*r(i). Let j(x) = -3*x. What is j(o(d))?\nAnswer: -258*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -233715 divided by 5\nAnswer: -46743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9574616?\nAnswer: 2, 1091, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(30\/(-9) - -3). Let q be 6\/21 + 402\/14. Suppose 0 = 25*h - q*h + 16. Solve h*g = w*n, -3*g = -6*g + 2*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of ((-18)\/(-8))\/(37\/1480)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 23 - -4442?\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 228721052 and 1652.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tzdkltltdl. Give prob of sequence kt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 4*l**2 + 1. Let v be o(-1). Suppose v*p + 35 = 5*d, -4*d = -2*d + 4*p + 16. What is the remainder when d is divided by 2\/8 + 7\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-622)\/3*(-81)\/6. Suppose 6*w - 3783 = l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, -0.1, 4, -1416?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 11) to base 4\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16\/99 - 2\/99. Let i = -5 + 9. Which is the biggest value?  (a) m  (b) i  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3*i**2 - i**3 - 2 + 15 + 5*i + 4*i. Let v be o(-5). Let f be (5 - 5) + -1 - -4. Calculate the greatest common factor of v and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 5:42 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1070099 rounded to 3 dps?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 2.9, 10.\nAnswer: -5, -1, 2.9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -22*v - 447. Let u be x(-22). Which is the closest to u?  (a) 0  (b) 0.3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 299339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18\/243695 + -190564252\/70915245. Let i = 2\/97 + l. Which is the third smallest value?  (a) -4\/3  (b) i  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 3*i**3 - 12*i**2 - 7*i - 2. Let v(c) = 7*c**3 - 25*c**2 - 15*c - 4. What is 13*k(u) - 6*v(u)?\nAnswer: -3*u**3 - 6*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 413104*i**4 - 19*i**2 + 72000721 wrt i?\nAnswer: 1652416*i**3 - 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6380 is divided by 355.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5557.23 - 5333.5. What is s rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-3) + 294\/18. What is the units digit of j\/4 + 4 + 58?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 16 - (37 + -49)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 766108580 to the nearest 1000000.\nAnswer: 766000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 18834148901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11106, 11112, 11132, 11172, 11238?\nAnswer: 11336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 455588261 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 235 and 21291.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2673)*1 - sqrt(2673))\/(sqrt(216)\/sqrt(8)) + 2 + (sqrt(5324)*2)**2.\nAnswer: 21298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 44.015 + -44. Let z = o + 1.985. Which is the second biggest value?  (a) z  (b) -2\/9  (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0463 to 3 dps.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f = -16348 - 37535. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -3) + -1 + (1 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19)\/(-19)*(25\/5)\/(-35)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58172*u**2 + u + 58177*u**2 - u.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 5 = -2*l - 21, 5*l = -5*a + 10. Let i be (16\/(-3))\/(-4)*(-27)\/198. Let k = 1708\/15 + -114. Sort l, i, k in increasing order.\nAnswer: l, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (75*v - 75*v - 54*v**2)*((4*v + v - 4*v)*(5*v - v - 3*v) + v**2 + 3 - 3 + 0*v**2 + 0*v**2 - 12*v**2) as n*v + m + f*v**2 + z*v**3 + t*v**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 108*v - 359. What is the remainder when t(10) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 270.1, -27, -2\/15?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*q + 915 = 36*q - 1403 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2026 - 2009 + 6263 - 2228 + 29*v**2.\nAnswer: 29*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n - 3. Let u be p(-6). Let b be (-785)\/u + (-2)\/(-9). Let j = -55 - b. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1149.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -3*d - 30. Calculate j(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8013419 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 452323 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1011905 - -49?\nAnswer: 1011954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -82\/855 and -86\/15.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 8) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 5, y: 2, l: 4}. Give prob of sequence yf.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1719007936 to four dps.\nAnswer: 0.1719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y - 12. Let c be k(-8). Let u be (-4)\/10 - (-8)\/(-5). Sort -1, c, u.\nAnswer: c, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 7, -109, -419, -1019, -2005, -3473, -5519, -8239?\n\"Answer: -16*j**3 - j**2 - j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 27 + 4 = 169*f - 174*f, 0 = 4*f - 5*m + 100 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: -195 + 195 - (-2 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 161167121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 33, 147, 321, 543, 801, 1083?\n\"Answer: -2*c**3 + 42*c**2 + 2*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1323806 or -1323808?\nAnswer: -1323806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g - 2. Let a be 5\/(-1)*(0 - -1). Let s be c(a). Let m(w) = 3*w - 4*w - s*w**2 + w. Let r(t) = -2*t. What is r(m(f))?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -1904819?\nAnswer: -1904821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 889121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*u + 40348 - 80703 + 40355.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -35501 divided by 11\nAnswer: -35501\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0, 0.3, -3, 1835741.1, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 2*g**3\/11 + 2085606*g**2\/11 + 1327196*g + 12513552\/11 = 0.\nAnswer: -1042796, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of -d**5\/60 - 7*d**4\/8 + 2*d**3\/3 - 1269*d**2 - 3*d. What is k(-24)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1001*l + 997*l + 16 = 60 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*a**2*m**3 + 95*a**2*m**2 - 401*m**3 wrt a.\nAnswer: 12*a*m**3 + 190*a*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 217 + 22767*s - 217.\nAnswer: 22767*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13*n**4*y + 78*n**2*y**2 - 3*y**2 - 136*y with respect to n.\nAnswer: -52*n**3*y + 156*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -83\/154034 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 65130467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4825700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.034574 millennia to centuries.\nAnswer: 10.34574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*z**2 + 9 + 7 - 11*z**3 - 32*z**2 - 12 + 7*z**2 to c*z + f + p*z**2 + u*z**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 17. Let g be 1 + t - (1 - -1). Which is smaller: g or 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -967, -1857, -2733, -3589, -4419, -5217, -5977?\n\"Answer: w**3 + w**2 - 900*w - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 57172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.338 - -0.338. Let s be 1\/(-2*1\/(-10)). What is the closest to n in 2\/3, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 9.536178m?\nAnswer: 9536178000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -48 >= -454\/519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 5883.27, 3\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/((-30)\/8))\/(24\/(-60)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23 + 28. What is the second derivative of -80*h - 32*h**p + 24312 - 24312 wrt h?\nAnswer: -640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7577455937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 30558058 less than 8?\nAnswer: -30558050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 + 22*a - 103. Suppose -2*n - 58 = -j, -67 - 63 = -2*j - 3*n. What is the remainder when j is divided by u(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 4 - 1. Let f = 0 - q. Does 14 divide f\/(-5) + (-370)\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -2\/17941?\nAnswer: -2\/17941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 4*k + 6 - 83, 0 = 3*r + 15. Suppose 0 = -2*z - 73 - k. Is z\/18*3\/(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2ab835 (base 15) in base 14?\nAnswer: -3ba26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 + 145*a**2 - 90*a - 33800. Give f(-144).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v*v**0)\/((v**(-1\/16)*v)\/v))\/(v*(v**(1\/5)\/v)\/v)**(12\/13))**(-21))**(-1\/18) assuming v is positive.\nAnswer: v**(13111\/6240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(81\/(-180))*11*2\/88?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, -144, -81 in descending order.\nAnswer: -2, -5, -81, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -3\/11, -5, -1.96, -1\/6?\nAnswer: -1.96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/(w\/w**(19\/3)))\/(w**(4\/17)*w)*w\/(w*w**17\/w)*w**25 assuming w is positive.\nAnswer: w**(770\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, i: 1, u: 1, m: 5}. Give prob of sequence ium.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-1\/4)\/f*f**(-4\/3))**(8\/7))**(-1\/10))**(-14\/5) assuming f is positive.\nAnswer: f**(-62\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 7, r: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 15044737387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 187734 - 90745. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -3*c. Suppose 5 = -y, c = 4*a + 5*y + 30 - 9. Let r = 12 + a. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 99067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -7*i - i**2 - 10 + 11 + 13*i. Let b be (-63)\/(-3)*((-20)\/3 - -7). Calculate m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**2\/9 + 22328*s\/9 - 31158724\/9.\nAnswer: -4*(s - 2791)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115*d + 873 = 68 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 146094 and 16506.\nAnswer: 401904594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -456*o**2*t**2 - 6536*o**2 - 2*o - 3966645*t**2 wrt o.\nAnswer: -912*t**2 - 13072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 128, 202, 276, 350?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 4*m + 18. Let d be y(-4). Suppose -3*z = -4*z - 2, 0 = -2*c + 5*z + 12. Let p be (12\/20)\/(-1*c). What is the third smallest value in 0.5, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73*n**2 + 203*n**2 - 70*n**2 - 71*n + 71*n - 67*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of -d**4\/14 + 3*d**2\/7 + 4*d. Factor n(b).\nAnswer: -6*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19234 - 76935\/4. Let d = 24 - 47\/2. Factor 0*m + 0 + d*m**2 + v*m**4 + 3\/4*m**3.\nAnswer: m**2*(m + 1)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 243 - 828 = 0. Let p be (-132)\/b + 2\/(-3). Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 5, e: 4, m: 5}. Give prob of sequence emm.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(56)*-4*-6)\/((sqrt(648) + ((sqrt(648)*2 + sqrt(648))*1 - sqrt(648)) + sqrt(648) - sqrt(648) - sqrt(648)) + sqrt(648) + sqrt(648)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = -12 + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3522 is divided by 1721.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -4, -24\/5, 3, -3, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b + 83 + 2293. Let g = -2939\/5 - b. Let d = 2211\/10 - 223. Find the common denominator of g and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -q - 2, 4*w + 0*w - 8 = -4*q. Suppose 0 = -4*j - f + 6299, 0 = 5*j - q*f + 6*f - 7876. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1667 - 589. Suppose 15*h + 1997 = -d. Let y be 4 + (h\/30 - -1). What is the closest to 0 in y, -2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -6790*r - 4196226. What is o(-618)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -155\/396 and 65\/42.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9030 is divided by 114?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -8. Is ((-34)\/4)\/(w\/(-24)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-54)\/(-27))\/(-3*4\/6). Let b(s) = -1. Let l(p) = 6*p + 3. Let a(t) = h*l(t) - 2*b(t). Calculate a(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**4 - 2*z**3 - 14*z**2 - 10*z + 3. Let p(d) = -d**2 + 3. Let f(x) = p(x) - w(x). Factor f(l).\nAnswer: -l*(l - 5)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/22512 and 145\/18400746.\nAnswer: 147205968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p - 2. Let b be x(4). Suppose 16 = -5*t + b*h, -2*t - 2*h - 4 = 3*t. Let n be 0\/(t - -6) + 4. Which is smaller: n or 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -702 = -3*n + 3*w - 717, 5*w - 13 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 887*p + 178339. Give s(-201).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-4)\/6)\/(2\/(-24)). Suppose 0 = -2*f - 2 - q, 0 = 4*r - 4*f - 68. Calculate the remainder when r is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = r - 258, 5*r + 38 = 8. Calculate the highest common factor of 13926 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**2 - 7*t**2 + 9*t**2 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 61, 112, 177, 262, 373, 516?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6647, -26006, -58277, -103466, -161579, -232622, -316601, -413522?\nAnswer: -523391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 1 = 5*t + 24, -5*n - 16 = 2*t. Let s = -3 - t. Suppose s = -3*z - 4*u + 133, z + u = -0*z + 43. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12198203 to the nearest integer?\nAnswer: 3493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 261874, 0 in descending order.\nAnswer: 261874, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -37*z**3 + 8*z**2 - 5*z - 1. Let o be g(1). Let q(n) = -n**3 - 34*n**2 + 31*n - 37. Calculate the remainder when q(o) is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(15\/5) - -2. Let a(z) = -5*z**2 + z**w - 22*z + 15*z + 7 + 9*z. Calculate the remainder when 66 is divided by a(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 33524\/1677 + -356\/129. Let o = g - -7\/26. Let d = 6 - -13. Is d greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 56 - -29?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1475 and 4615865?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 4*g**2 - 3. Let y = -66 + 61. Calculate the remainder when s(y) is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.441126755 rounded to 4 decimal places?\nAnswer: 2.4411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 9*h**2 - 391 + h**3 - h + 662 - 167. Determine g(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-5 + 9 + -5 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 929607 to the power of 1\/2, to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4*y = -19533, -4*x = -3*y - 5557 - 72497. List the prime factors of x.\nAnswer: 3, 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 3:31 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y + 26. Let g be p(0). Let f be ((-8)\/(-7))\/(g\/91). Solve 4*k - f - 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 12*v + 1. Let p be l(-1). Let q = p + -3. What is the remainder when (-6)\/21 + (-802)\/q is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/9)*l*l**14*l*l*l**(-26)*(l*(l*l\/((l\/(l*l**(-2\/51)\/l))\/l)*l*l*l)\/l*l*l)\/l assuming l is positive.\nAnswer: l**(-431\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1614633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - h = -104, l - 26 = h - 0*h. Let b = l - 24. Differentiate -29*k**b + 11 + 1 - 33*k**2 + 67*k**2 with respect to k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 4*j**2 - 44*j - 243. What is f(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242) - 4*sqrt(242)*-4 - sqrt(242) - (sqrt(242) - (1 + sqrt(242) + -2)))**2 - (1*((sqrt(242) - sqrt(242)*1)*-2 - sqrt(242))**2 + 3).\nAnswer: -352*sqrt(2) + 61708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 20*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 1459 = u, -4*u + j + 2*j = 5839. Let k = u - -2419. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 0*w + g = 4, 5*w + 5*g - 20 = 0. Let a(n) = -30*n**3 - 3*n + 15*n**3 + w*n - 7 + 6*n**2 + 16*n**3. Determine a(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 0*n + 5. Suppose x - 6*x + 25 = 0, -n*y + 2*x = -295. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-84)\/49)\/((-24)\/224*4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -q - 1. Suppose 12 + 3 = q*u. Suppose k + 24 = u*k. Calculate the remainder when k is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 4*z - 29. Let n be j(19). What is the greatest common divisor of n and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (45 - 88 - 92)*(-5*i + 3*i + 4*i - 2*i + i - i + (-3*i + 6*i + 3*i)*(-3 + 0 + 0)).\nAnswer: 2430*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 36594\/5 or 7319?\nAnswer: 7319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + -2. Let b = 4.10717 - 0.10717. Put y, -2, b in ascending order.\nAnswer: y, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - -5. Let v(l) = 5*l - 3. Calculate the remainder when v(5) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-2\/15)\/(f*(f\/(f**(3\/11)\/f))\/f*f))\/((f\/f**(-2\/5))\/f**8))**(4\/23))**(15\/8) assuming f is positive.\nAnswer: f**(617\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from {p: 11, w: 1, l: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1855 - 3793\/2. What is the common denominator of r and 29\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n**3 - 3*n**2 - n - 1. Let m(j) = 55*j**3 - 9*j**2 + 5*j - 3. What is 3*b(a) - m(a)?\nAnswer: -61*a**3 - 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -67, -18, -0.18, -4\/3.\nAnswer: -67, -18, -4\/3, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 254 and 7493?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*a + 18 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggeemeemgro.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qyq when three letters picked without replacement from {y: 10, q: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 2639 = 4*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -203106.0235 + 203185. Let v = f - 79. Round v to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9343 and 220.\nAnswer: 2055460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2578781, 2578788, 2578795, 2578802, 2578809, 2578816?\nAnswer: 2578823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -108 or -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -1146 + 443. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rp when two letters picked without replacement from prprrppp?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = g - 7. Let k be (g\/15)\/((-2)\/(-10)). Which is the nearest to 2?  (a) 0  (b) k  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.28 and 307.\nAnswer: 85.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 6*l - 308. Solve 75*p - l*p - 6 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.8 times 5023.64?\nAnswer: 19089.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -5*n. Let t(d) = -d + 813. Calculate t(h(p)).\nAnswer: 5*p + 813","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 3, -3, -4, -12, 4 in descending order.\nAnswer: 4, 3, -3, -4, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 + 7*b + 3. Suppose -3*p - 3*k + 33 = 0, -6*p + 2*p - 2*k = -36. Let y be v(p). Differentiate -8*w**3 - 1 + 2 - 6*w**y - 3 with respect to w.\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1563827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 PM and 9:11 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 - 3. Let i be ((-8)\/c)\/((-2)\/3). What is the second biggest value in 2\/9, i, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*i - 6. Suppose 3*l + 95 = 5*y - i*l, 0 = 3*y + 4*l - 64. Let c be (-363)\/121 + (-8)\/2*-2. Solve -5*o + c = -y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, 4, 22, 46?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(300) + 2)*-2.\nAnswer: -20*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20) - sqrt(20)*2*4)\/sqrt(10))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -427, -421, -415, -409, -403, -397?\n\"Answer: 6*c - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 170 a factor of 2788607750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 divided by 7?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 172\/1034541?\nAnswer: 172\/1034541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2123768128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - 9603913?\nAnswer: -9603917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*x + 1 + 15 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 43.02344 centuries in months?\nAnswer: 51628.128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - 180894?\nAnswer: -180903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 11*n**3 + 120*n**2 - 16. Let l(r) = -3*r**3 - 30*r**2 + 4. Give -2*c(f) - 9*l(f).\nAnswer: 5*f**3 + 30*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (125 - 119 - (1 + 17)) + 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + -179?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1 and 315160.\nAnswer: 315160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -21*y**2 - 2*y. Let s = 105 - 94. Let g(h) = -106*h**2 - 11*h. Let w(q) = s*a(q) - 2*g(q). Let d(c) = -2*c. What is w(d(o))?\nAnswer: -76*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 172344599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -123*p**3*u**2 - 4*p**3 - 13*p**2*u + 2*p*u**2 + 4*p*u + 74*p - 227*u wrt p.\nAnswer: -738*p*u**2 - 24*p - 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -211 - -4643\/22. Are a and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -4*z - 103. What is y(-15)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -878*p**2 + 1 + 437*p**2 + 438*p**2 - 19*p + 69*p.\nAnswer: -3*p**2 + 50*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 363907?\nAnswer: 19, 107, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-11) - (-6)\/33. Find the third derivative of 2 + 17*o**3 - 5*o**2 - 67*o**3 - 3 - 124*o**3 + q wrt o.\nAnswer: -1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -1696\/2504753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 60\/48 - -3*(-3)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 0*z - 1 = 3*z, 4*b = 4*z + 4. Let g be ((-40)\/(-8))\/((-9)\/(-2) - 4). Solve 0*w = b*w + g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4139762?\nAnswer: 2, 11, 188171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75061.\nAnswer: 7, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 158243822, 158243825, 158243828?\n\"Answer: 3*q + 158243819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 122, -82, -622, -1666, -3382, -5938, -9502, -14242?\n\"Answer: -28*k**3 - 8*k + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 2  (c) 0.7  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35647\/42 - 5089\/6. Which is the second smallest value?  (a) -6  (b) -5  (c) r  (d) 0.308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -3 - 2*z**2 - 15*z + 3*z**2 - 2*z**2. Let h be m(-14). Suppose -s = 0, -g + h = -s - 7. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 5) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z - 10 = -z. List the prime factors of 975\/15*(-1 - z).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 84 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, p: 2, w: 2, d: 5, s: 3}. What is prob of picking 2 w, 1 s, and 1 b?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 times 161.47?\nAnswer: -6.4588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 203752205\nAnswer: -4\/203752205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**4 - 6554*x**3 + 3674076*x**2 + 11068136*x + 7387504 = 0. What is x?\nAnswer: -2, -1, 722, 2558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-11)\/(-22) + 79\/(-2). Let k = 79 + l. Suppose 0 = -4*r - 5*m + k + 7, 0 = 5*r - 2*m - 67. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3412105500 to the nearest 1000000.\nAnswer: -3412000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/5)*y)**(1\/4)\/(y**8*(y\/(y**(4\/7)*y)*y)\/y) assuming y is positive.\nAnswer: y**(-991\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1921001 divided by 544?\nAnswer: 1921001\/544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-328)\/(-1845)*(-6)\/(-8)*40\/(-208)\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -497 - -1489\/3. Put 0.1, 5, -0.3, x in descending order.\nAnswer: 5, 0.1, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) 0.3  (c) -6301  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1227, 3951, 8491, 14847, 23019, 33007, 44811?\nAnswer: 58431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 - 6*q - 4. Let x be -2*6\/(-2 - -5). Let v be h(x). Let l be (6\/v)\/((-16)\/(-32)). Let p(u) = -2*u + 1. Calculate p(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 621132231 divided by -5.\nAnswer: -621132231\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 31970.\nAnswer: 63940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*g - 3018*g**2 + 1544*g**2 + 1658*g**2 + 675*g**3 + 6*g wrt g.\nAnswer: 4050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2990614.6 + -2990127.60212. Let b = l - 487. What is b rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -56 and -60 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -4 - 18*n + 16*n + 4. Let k be j(0). Suppose k = -h - 23 + 26. Solve h = 3*v - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -2.4265\nAnswer: -2.5735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4268, 4278, 4264, 4214, 4116, 3958, 3728?\n\"Answer: -2*y**3 + 24*y + 4246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 312 + 267 = -3*g, -3*t + 5*g = 1667. Let z = -574 - t. Does z = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -51 - -35. Let p = -12 - y. Suppose p*n - 28 = 16. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3548*h + 3557*h - 7075*h - 390 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:03 AM and 11:46 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-128)\/6)\/(2\/(-6)). Suppose 48 = 2*k - g. Suppose c + c = k. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-i - 1 + 1)*(2*i - 2*i + i**2 + (i + 3*i - 3*i)*(i - 1 + 1) + 104*i**2 - 54*i**2 + 385*i**2) in the form s*i**3 + j*i**2 + o + g*i and give s.\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 16115 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 s(z) = 10*z - 1. Let d be s(0). Let v = d - -44. Which is bigger: v or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 16101899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-3 - (-7 - (-2 + 4)) - -5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 45716755 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 94857, 5, 3, 45 in descending order.\nAnswer: 94857, 45, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 9.2. Let q = -1.045 + 0.045. Which is the fourth biggest value?  (a) q  (b) 0  (c) 0.1  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of f**2*r**2 + 20*f**2*r - 10*f**2 + 22*f*r**2 - 722*f*r wrt f?\nAnswer: 2*r**2 + 40*r - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117719 is divided by 626.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62552 is divided by 20629?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wppp when four letters picked without replacement from bmwmpjpljpjpmwpwplj?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10758 + -21513\/2. What is the closest to 2 in 16, q, 2\/5, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -3*r**3 + 561*r**2 - 2250*r + 223. What is w(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28805086?\nAnswer: 2, 2719, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 1065611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 95*o - 6795. Let h(x) = 44*x - 3397. Give 6*g(n) - 13*h(n).\nAnswer: -2*n + 3391","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3 = 3*w, 2*d = 2*w + w + 21. Find the third derivative of 3*x**3 - d*x**2 - x**3 + 17*x**2 wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.387 and -2307.\nAnswer: -892.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 6*y**2 + 9*y**2 - 10*y + 6*y**3 + 3 - 7*y**4 - 11*y**2. Let d(l) = -2*l**4 + l**3 + l**2 - 2*l + 1. Let h(s) = -12*d(s) + 3*p(s). Solve h(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -12*r + r**2 + 197 + 189 - 424. Let c(m) = 3*m**2 - 24*m - 77. Let l(x) = 2*c(x) - 5*v(x). Suppose l(i) = 0. Calculate i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2444\/13572 - (-6)\/(-87).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12729462.\nAnswer: 2, 3, 43, 49339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -2*x**3 + x + 5. Differentiate j(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 + 6. Let o(v) = -2*v**2 - 14. Let b(s) = 7*a(s) + 3*o(s). Let q(n) = -n + 26. Calculate q(b(p)).\nAnswer: -p**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 166655105 - -6?\nAnswer: 166655113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -120425111 (base 6) in base 5?\nAnswer: -1040234212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 + 21*l - 35. Calculate g(20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19*r**2 - r**2 - 11*r**4 - 6*r**4 - 7*r**2 wrt r.\nAnswer: -408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*1*1)*-5)\/(-3*sqrt(12)\/sqrt(3)*2) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1242)\/105800)\/((-2)\/(-8)) + 3\/((-69)\/(-2)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 4:01 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 1)*(-3 - 3 + 4)*(-3*o - 4 + 4).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28.7 + -41.5. Let r = -12.79979 - k. Round r to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 25.42183032 to one dp.\nAnswer: 25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.3 + 0.3. Which is the third smallest value?  (a) q  (b) 3\/2  (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 186*o + 15*o - 1286400 = 0. Calculate the greatest common divisor of 256 and o.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8208 and 246564864?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-65)\/(12350\/(-114))*5\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-56820)\/3780 - (-18 + 3))\/((-4)\/(-6))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 179\/390 and -73\/156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 3*l**2 + 2*l - 6. Let w(m) = -3*m**2 - 2*m + 5. Calculate 6*w(c) + 5*x(c).\nAnswer: -3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 2*k + 3*v - 13, -4*v - 8 = -3*k. Suppose -49 - 299 = -k*m. What is the remainder when m is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -6\/27533 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2\/495 + -976\/3465. Let t = 5.688 - 5.4. Let o = t - -0.012. What is the closest to c in o, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3826873?\nAnswer: 37, 293, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, h: 3, g: 6, m: 2, d: 7}. Give prob of picking 1 m, 2 d, and 1 g.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 2:49 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -6 - -3 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:10 AM and 12:08 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-315)\/(-4305))\/(318\/212).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 228894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -105, -416, -933, -1656, -2585, -3720, -5061?\nAnswer: -6608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1839987085.360008 + 1840745264.36. Let a = -758174 + p. Let b = -5 + a. What is b rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 10, 5, -2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 0  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*b**2\/8 - 7*b\/8 = 0. What is b?\nAnswer: -7\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 193711 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.1876 - 0.0124. What is the third smallest value in 40, h, 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 66710.6 + 82\nAnswer: 66792.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 4) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + 19 + 21. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4837883.\nAnswer: 4837883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.1159 + 0.0159. Let f = 7 - 6. Let h be (-737)\/253 - 3*-1. Which is the nearest to f?  (a) 0.5  (b) h  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -121094, -121091, -121092, -121097?\n\"Answer: -2*l**2 + 9*l - 121101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.06 and -0.2075.\nAnswer: -0.01245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v\/(v**(1\/12)\/v))*v\/(v*v*(v\/(v*v**(-2\/25)))\/v*v*v*v)*((v\/v**0)\/v)\/(v**(-4)*v*v*v) assuming v is positive.\nAnswer: v**(-899\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 3*y - 5, 2*y = -13 + 3. Suppose 5*h - 13 = -k, -2*h + 7 = k + h. Let b be ((-1 - k)*0)\/t. Solve -3*d = b, 2*d = 3*f - d + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ozwz. Give prob of picking 1 w and 1 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u**2 - 1 - 2*u**3 - 2*u**2 + 2*u**4 + 48*u - 50*u to a*u**3 + c + t*u**4 + o*u + n*u**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 AM and 7:29 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (510\/60)\/((-1)\/3244*-2). Let u(n) = y + 4*n + 8*n - 13787. Let v(s) = -5*s. Let r(k) = 14*k. Let b(o) = 3*r(o) + 8*v(o). Give u(b(a)).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*a**2 + 9*a**2 - 11*a**2 - 2 to o*a + r + p*a**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 10) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -8.1 times 0.49\nAnswer: -3.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 + 19*v**2 + 39*v + 72. Let d be a(-19). Let p = -652 - d. What is the nearest to 1 in 4, p, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*l - 0. Let q = 6 + l. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/11))**(-8\/5)\/((s*(s\/s**(-19))\/s*s)\/s*s*s*(s*s*s**(2\/13))\/s) assuming s is positive.\nAnswer: s**(-16763\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.85 - 0.55. What is the fourth biggest value in 2\/3, -2, 0, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 199669282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107662 is divided by 1054.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000273100028 to seven decimal places.\nAnswer: 0.0000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/21 and 59\/16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(-28)*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 23822 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -82 - -54.5. Let n = f - -27. Let d be 4\/(-21)*6\/4. Which is the smallest value?  (a) -2\/5  (b) n  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -3*x**3 + 5*x**2 + 4*x + 18. Let z(s) = -2*s**3 + 4*s**2 + 3*s + 19. Give -3*o(n) + 4*z(n).\nAnswer: n**3 + n**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(2*(-2)\/136). Suppose 3*j = d - 58, -5*j + d - 66 - v = 0. What is the tens digit of j\/(-2)*(-8)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43381379499.937777544 - 43381378372. Let f = y - 1102.937778. Let n = f + -25. What is n rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 0.4, -5, 14\/13, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 3920.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 9:38 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10 + -5 + -2 + 4. Let n = o - 3. Suppose -n*m + 60 = -3*m. Does 30 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(91)*1)\/sqrt(7))*-4.\nAnswer: -16 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*p + 0*p + 2*p)*(2 + 3 - 3) + 8*p - 1 - 9*p + 9 as r*p + d and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2.3 and -3560.\nAnswer: -3562.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/m**35*m*m\/(m**(-22)\/m))**(-9\/10))**(9\/2))**38 assuming m is positive.\nAnswer: m**(13851\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*l + 0*l + 51*l**2 + 2*l + l + 3*l as g*l + r + x*l**2 and give x.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 332, 694, 1058, 1424, 1792?\n\"Answer: h**2 + 359*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s**2 + 29*s - 1. Let n be v(4). Suppose n = 5*m - 33. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1189*l = 1194*l - 375. Which is bigger: l or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**3\/4 - 3*f**2 + 21*f\/4 + 15\/2.\nAnswer: -3*(f - 2)*(f + 1)*(f + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 12144 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1131, 4514, 10173, 18126, 28391?\n\"Answer: 3*a**3 + 1120*a**2 + 2*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -9*a - 1. Let d(o) = o**3 + 18*o + 106. Calculate d(l) + 2*m(l).\nAnswer: l**3 + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 62, 0.4, -1359?\nAnswer: -1359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 264, 516, 742, 930, 1068?\nAnswer: 1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -420 + 1011322?\nAnswer: 1010502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3516162 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 1 = -y + 4*y, 2*b = 3*y - 4. Let z(i) = 2*i**3 + 2*i**2 - 2*i. Let x be z(y). Sort 5\/4, x, -3 in descending order.\nAnswer: 5\/4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*y**2 + 5*y**2 - 10*y**3 - 9*y**3 wrt y?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 + d. Let p(m) = m**3 + 10*m**2 + 9*m - 10. Let s(y) = -6*i(y) - p(y). Calculate the remainder when 15 is divided by s(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 4*z + 4. Let r be y(0). Suppose -k - r = -8. Solve -4*i - 2*j = -j + 12, -5*j = 4*i - k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -5 - (-42)\/24 - 6\/8. Let a be 12\/(-8) + (-42)\/z. What is the units digit of (-2 - a\/(-2))*356\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 216 + -452. Calculate the common denominator of i\/37 + 2 + 3 and 17\/7.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 6*m - 70. What is b(9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*l + 15*l + 8*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 - 4*g + 4. Let t be n(3). Let o = t + 2. Solve o*l = 5*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 340 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2716991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 312*g**2*r + 207*r wrt g?\nAnswer: 624*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 27\/2*(-8 + 6). Let n be (y\/(-6))\/(6\/80). What is the greatest common divisor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 296104760.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -61  (b) 42.8  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159260.\nAnswer: 2, 5, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17623 - -17620. Suppose -2*f - 30 = -3*f. Which is bigger: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 170343, 340673, 511007, 681345, 851687, 1022033?\nAnswer: 1192383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 10:06 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99) + 1 + sqrt(88)\/sqrt(72).\nAnswer: 1 + 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*m - 11*m - 11*m**3 + (2*m**2 - 3*m**2 + 4*m**2)*(2*m - 2*m - 2*m) - 3*m**3 + 2*m**2 - 2*m**2.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/(-3))\/(-1 - (-11)\/9). Let b be -1*-36*(s - 1). Let i(q) = 2*q**2 - 9*q. Let l be i(6). Calculate the greatest common divisor of l and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001841951 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from crcrcccccr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -650016 = -196*t - 170*t. Calculate the remainder when t is divided by 458.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7877?\nAnswer: 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 345 + -341. Let k(d) be the third derivative of -1\/12*d**5 + 0 + 1\/6*d**h + 0*d + 2*d**2 + 1\/120*d**6 - 1\/3*d**3. Give k(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -4. Let x = 1\/83 - 337\/415. Sort x, -3, b in descending order.\nAnswer: x, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71 is divided by 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 347 - 343. Sort t, -29, -5\/3, -2\/11.\nAnswer: -29, -5\/3, -2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 459318 and 22.\nAnswer: 5052498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 23511, 23508, 23505?\n\"Answer: -3*j + 23514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10239.65922 rounded to the nearest 100?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 42 + 35 + -18 - 100\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 5689, -11, 2, -2, 4 in descending order.\nAnswer: 5689, 4, 2, -2, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*s**2 - 7*s**2 - 27*s**2 - 7*s**2 + 7*s**2.\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -110203619 by 5.\nAnswer: -110203619\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 97849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 13883002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1227.87587 + 5.9\nAnswer: -1221.97587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of -z**5\/30 - 85*z**2. Let s(j) be the first derivative of 8*j**2 + 10*j**2 - 21*j**2 + 15*j**2 + 1. Determine s(p(u)).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 5*w + 1. Let o(f) = -16*f - 2. Give -11*n(d) - 4*o(d).\nAnswer: 9*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 294 and 238?\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 1:09 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, f: 2, i: 4, e: 9, j: 1}. What is prob of sequence if?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.136 - -294.017\nAnswer: 293.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/4)\/(4\/32) - -14. Suppose k = -26*t + 30*t. Suppose 4*d = 5*r + 234, -3*d = -t*r - 0*r - 175. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1245 + 2362. List the prime factors of m.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -410  (b) 3  (c) 4  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the first derivative of y**4\/4 - 10*y**3\/3 + 3*y**2\/2 - 12*y - 4. Does 9 divide f(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -9*k - 5*d + 40, -3*k = 2*d - 21. Suppose -4*x = 3*i - 114, 0*x - k*i = -4*x + 98. Let j = x - 3. What is the greatest common factor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 0, 0.5, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 438827\/3382 - 3182420617\/23345946. Let q = 5\/767 + y. Calculate the common denominator of q and 139\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -100*p**2 - 638*p + 15. What is l(-6)?\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.3 and -4502 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -211*d**3 + 146*d**3 + 112*d**3.\nAnswer: 47*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -138 by 3.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, 0.3, -1211.21, -0.2 in decreasing order.\nAnswer: 0.3, -1\/7, -0.2, -1211.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265*t**4 - 1070 - 40*t**4 - t**4 - 13208*t**2 + 17520*t - 6130 + 2*t**5 + 2*t**5 + 2660*t**3 = 0 for t.\nAnswer: -30, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 261389.79 to the nearest ten.\nAnswer: 261390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 0*h = -2*b + 114, 0 = -h - 4. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 3*h = 44404 - 44402, -4*f + 10 = h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 less than -1642763209?\nAnswer: -1642763213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -5, -4*m - 4*g = 6312 + 5348. What is m rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -779171 = 503*t - 2942574. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25)\/15*3*1\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3690.48g in milligrams?\nAnswer: 3690480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -3*p + 5*g - 5, -4*g + 8 = -4*p. Let y be (-33)\/(-6) - p\/(-6). Suppose -c + 4*c + 5*h - 86 = 0, 4*c + y*h - 118 = 0. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3\/155, -0.5, 3\/14, 0.1, 4 in decreasing order.\nAnswer: 4, 1, 3\/14, 0.1, -3\/155, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) 0.4  (c) 0  (d) 4838  (e) 10\/7  (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/4 and 51\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 - (52 - (25 - -19) - (2 - -1))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -166, -0.1, -3\/2, 1070?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 467.99998059 + -468. What is m rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1 + 3*c**2 - 6*c**2 - 29*c + 16*c + 18*c wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p**(2\/49)\/p)*p)**(-1\/2) assuming p is positive.\nAnswer: p**(-145\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - -1 - 8) + 10 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/((o\/o**(-2\/9))\/o)*o)**22 assuming o is positive.\nAnswer: o**(352\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (319 + 38*o - 305 + 2*o)*(0*o - 2*o + 0*o).\nAnswer: -80*o**2 - 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14860?\nAnswer: 2, 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.24?  (a) -1  (b) -1\/1596  (c) 5  (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 756846.943 to the nearest 10.\nAnswer: 756850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 16 + 32 = 0. Let x(a) = 4*a - 17. What is the tens digit of x(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 1 + (-460)\/(-50) + -9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -115\/11778048 and -61\/9216?\nAnswer: 11778048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106 = -2*b + 3*z, 5*b - 349 = -2*z - 65. Let w = b - 44. Calculate the lowest common multiple of w and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -15*v + 117. Solve 11*u + 6 = v*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -25*y - 15. Let v(u) = -3*u + 5. Let h(a) = -5*a - 10. Let l(w) = h(w) + v(w). Calculate 7*l(z) - 2*q(z).\nAnswer: -6*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 3*h - 18. Let v be o(12). Let s be (-12)\/v*(-9)\/2. What is the least common multiple of ((-2)\/6)\/(s\/(-90)) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -7\/18, -4, -413.\nAnswer: -413, -5, -4, -7\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -j - 21, -11*l + j - 6 = -16*l. Let v be ((-5)\/2)\/((-3)\/(-2)). What is the second smallest value in v, l, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -10 + 200\/(-30)*(-72)\/60. Put -3, 25, d, -11 in ascending order.\nAnswer: -11, -3, d, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.22 * -1.2.\nAnswer: -0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 AM and 7:09 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 205*u - 3. Let p(d) = -d - 1. Let f(z) = j(z) - 6*p(z). Is f(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24130 divided by 1.\nAnswer: -24130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/39816 and 117\/10.\nAnswer: 199080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.01 + -0.09. Let l = -165 + 159. Which is the nearest to -1?  (a) y  (b) 2\/15  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -124 less than -17376\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.6043 - 18.9317. Let j = 20.92 + -0.92. Let s = w + j. What is s rounded to two decimal places?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2629458.\nAnswer: 2, 3, 13, 17, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.88 + 28.28. Let y = -26 + n. Round y to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -4*k - 338, -5 = -9*k + 4*k. Does 32 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 4*a - 4311. Let q(f) = 38*f - 1. Give q(y(w)).\nAnswer: 152*w - 163819","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -1*(-143 - (-1)\/((-3)\/(-6))).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 12, -64, -268, -642, -1228?\nAnswer: -2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**3 - 3 + 3)*((5*a - 5*a - 4*a)*(4*a - a - 4*a) + 8*a**2 - 4*a**2 + 6*a**2).\nAnswer: 14*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 280576 and 3425?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 4, -3.2368342 in decreasing order.\nAnswer: 9, 4, -3.2368342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 295*i**2 + i**3 + 22*i + 23 - 112*i - 79*i.\nAnswer: i**3 + 295*i**2 - 169*i + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62982036*p**3 + 31491022*p**3 + 31491016*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 533 (base 12) to base 5.\nAnswer: 11014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -299 divided by -11\nAnswer: 299\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 4*m = 99 - 19, -2*m = 2*o + 50. Let a = -20 - o. Find the third derivative of i**2 - 4*i**6 + a*i**2 - i**6 - 4*i**6 wrt i.\nAnswer: -1080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 + 71468*p - 214368.\nAnswer: -4*(p - 17864)*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -979 - 0.1047501.\nAnswer: -979.1047501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 take away -307141?\nAnswer: 307146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 + 2)\/(((-11)\/(-12))\/11). Suppose -4*j + 72 = 5*h, 3*j = -j + q. Calculate the highest common divisor of 20 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37206911?\nAnswer: 7, 43, 71, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -278158.\nAnswer: -2\/139079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -5, 7, 29, 61, 103, 155?\n\"Answer: 5*i**2 - 3*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8528 and 6929?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.02 - -0.28. Let u = -1 - -2. Which is bigger: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -106*y + 5. Let q(g) = -g**2 + 9*g - 19. Let n be q(6). Let s be j(n). Suppose -309 = -3*x - 0*x - 5*o, -o - s = -x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 + 5*l + 14. Let v be y(-10). Let w = 15698 - 15618. Calculate the greatest common divisor of v and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 2*n + 2)*(-n**2 - 3*n**2 + 6*n**2) + 2 - 2 + n**3)*(125*n**2 + 186*n**2 - 64*n**2) + (3*n**5 + 2*n**5 - 3*n**5)*(-1 - 3 + 3).\nAnswer: 1233*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -11.6 and 810195.758?\nAnswer: 810207.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1331)*-2 + 1 + 3*(sqrt(11) + 2 + -2).\nAnswer: -19*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-36)\/(-72))\/(1\/26). Calculate the highest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 64, -1, -9, -5 in decreasing order.\nAnswer: 64, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13*v + 25*v + 13*v + 19)*((-17 - 15 + 10)*(0 + 4 - 2) + 3 - 2 + 1) to the form n*v + c and give n.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + 7. Let w be (-6)\/(-2) + (-6 - -5). Suppose -5 = -w*r + 1. Put 2, a, r in descending order.\nAnswer: r, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2\/2 - 2552*h + 5105\/2.\nAnswer: -(h - 1)*(h + 5105)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 273\/(-78)*1\/((-21)\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36 + 5*d**4 - 4*d + 34 - 4*d**4 to the form f + s*d + z*d**2 + b*d**3 + y*d**4 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from whfwwrnwfwf. Give prob of sequence nf.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 1251124 = 18*j - 8*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -161*d. Let r(k) = -6 + 8 - 19*k - 7 + 1. Let a(y) = -5*y - 1. Let m(z) = -4*a(z) + r(z). Determine f(m(h)).\nAnswer: -161*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -4*w - 997 + 2941, -2*w + 4*z = -964. Which is the second smallest value?  (a) 4  (b) w  (c) 1\/12  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2946000 divided by 3.\nAnswer: 982000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from gvsygsyguugggvgj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 41\/2 of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that u**3\/5 - 104848*u**2\/5 + 2741237493*u\/5 + 369210880854\/5 = 0.\nAnswer: -134, 52491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22.999922 - 23. What is w rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2175042 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 20*(-144)\/(-40)*38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -183980841 minus 1111?\nAnswer: -183981952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, -45, -3 in increasing order.\nAnswer: -45, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -0.06, 3, 5, 1\/31, -1859, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 2  (c) -0.4  (d) 0  (e) -20  (f) -1\/20  (g) 14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -123, -275, -501, -831, -1295, -1923, -2745, -3791?\n\"Answer: -5*t**3 - 7*t**2 - 96*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.3903535 to four decimal places.\nAnswer: 1.3904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1155 (base 6) in base 4?\nAnswer: -10133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 10*s - 1452 - 8493 = 0. What is the greatest common factor of 1092 and s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7568632093.\nAnswer: 11, 487, 1412849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -28*z**4 + 40*z**4 + 52*z**4 + 1 - 13*z**4 + 33*z**4 + 4*z in the form d*z**2 + j*z**4 + k*z**3 + o + y*z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 590 and 472.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 352, 387, 432, 493, 576?\n\"Answer: a**3 - a**2 + 31*a + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, d: 1, g: 2, l: 1, i: 4, c: 2}. Give prob of picking 1 d and 1 w.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 39*f**2 + 5*f - 3. Give d(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 77615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2. Let q be g(2). Let w = 14 + q. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -3*z**3 + 3*z**2 + 4*z - 2127. Determine d(0).\nAnswer: -2127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10041?\nAnswer: 3, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 13, h: 3, q: 3}. What is prob of sequence qhqv?\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -759.58 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 4\/5*u + 4\/5*u**3 - 2*u**2 + 2*u**4 = 0. What is u?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((5 + sqrt(95)\/sqrt(5) + 3)*5)**2*1.\nAnswer: -2075 - 400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + 7*k**2 - 6*k - 4. Let q be b(6). Let w = -271 - -275. Put q, 3, 2, w in ascending order.\nAnswer: q, 2, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -1786*f**3 - 9*f**2 + 15*f + 165. Is w(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -1  (b) 0.1  (c) 3  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-27)*(-945)\/(1575\/(-45))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -84, 2.6, 0.4, 0, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -35, -51, -91, -167, -291, -475, -731?\n\"Answer: -2*q**3 - 2*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2057199?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence huk when three letters picked without replacement from hkkkupukhkhkh?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 491.1 plus -0.1148?\nAnswer: 490.9852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = n - 10, -2*r + n = 3*r - 8. Suppose -17 = -3*l + 2*g, -g + 3 = -3*l + 19. What is the third derivative of -3*o**r + o**4 - 5*o**4 + l*o**4 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(187)\/sqrt(44) - (sqrt(68)*-2)\/sqrt(4)))**2.\nAnswer: -15*sqrt(17) + 461\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 954*p**2 + 476*p - 39. Is m(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44\/45 + 1817\/1260. Calculate the common denominator of -33\/20 and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 97686 and 38394?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 125.99737726 and 9.\nAnswer: 134.99737726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 - g**2 - 4*g - 8. Let m(j) = -j**2 - 5*j - 7. Let x(h) = m(h) - n(h). Let d(o) = 3*o**3 + 2*o**2 + 3. Determine -d(s) + 2*x(s).\nAnswer: -s**3 - 2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14724881?\nAnswer: 14724881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 4990*y**2 + 1 + 3*y - 5*y + 5100*y**2 - 9 to g + w*y**2 + j*y and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -36*b + 5. Let l(a) be the first derivative of 71*a**2\/2 - 9*a + 7. Let t(m) = -3*l(m) - 5*y(m). What are the prime factors of t(-1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/8 - (-7)\/4)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/70 - (-284428)\/(-23590).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v + 24 - v - 53 - 103.\nAnswer: -v - 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 62*i**2 - 137*i**2 + 67*i**2 + (-i**2 + 4*i**2 - 5*i**2)*(-1 + 1 - 1) as s*i + c*i**2 + a and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-2))\/((-5)\/2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 242*w**2 - 162*w**2 + 306*w**2 as g*w**2 + h*w + i and give g.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -794*u + 80581 = 22619 for u.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -308\/2101467 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 49 in -0.501, -3, 7.3?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -44.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of 0*p**4 + 0 + 7*p - 1\/21*p**7 + 0*p**5 + 0*p**2 + 13\/6*p**3 + 0*p**6. Find the second derivative of l(g) wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -19*k**2 + k + 1. Let u be d(-1). Let j be u\/(-7) - 2\/(-7). Find the second derivative of 0*y - j*y**3 + 2*y**3 + 2*y wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 (base 9) in base 15?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m + 4*m + 32 - m - m.\nAnswer: 2*m + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - sqrt(51)\/sqrt(3)*3 - sqrt(272)*2)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 - 4 = 7*q. Suppose -2*u = 2*w - q*w - 22, -2*u - 8 = 4*w. Solve a - 3*a = u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 38, 43, 56, 77, 106, 143?\n\"Answer: 4*k**2 - 7*k + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 - 3*l**2 + 0*l**2)*(5*l**2 - l**3 + 0*l**3 - l**3).\nAnswer: 10*l**5 - 25*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/((k**(1\/5)\/k)\/k*k)*k*k)\/k**(1\/18))\/(k**(-6\/11)*k\/(k*k*k**(1\/12))*k*k) assuming k is positive.\nAnswer: k**(8659\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + 2. Suppose -2*z - 4*k - 6 = -26, -5*z + 4*k = -j. Suppose -v + z = 1. Solve v*y = 5*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000284928624 rounded to six dps?\nAnswer: -0.000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {x: 1, d: 1, l: 4, k: 3, o: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**4\/2 + 7*v**2\/2 + 3*v.\nAnswer: -v*(v - 3)*(v + 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 - (-1 - 20) - (-13 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 28*m**2 + 1. Let r be b(1). Suppose r*z = -7*z - 7*z. Put -2\/7, z, -32 in decreasing order.\nAnswer: z, -2\/7, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -157, -633, -1427, -2539, -3969, -5717, -7783?\n\"Answer: -159*r**2 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 127 + -127.000206. What is f rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12) - (sqrt(12) - -1*sqrt(12)))*-3 + sqrt(12))\/(sqrt(30)\/(sqrt(20)\/sqrt(4))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ys when two letters picked without replacement from quqsqyyqsqnqs?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -208*o**2 + 293*o - 556*o + 263*o.\nAnswer: -208*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u**(5\/2))\/u)\/u**(-2\/17))**(-11\/3)*u**6*u*u**(2\/7)*((u*(u*u**(-1))\/u*u)\/u)**(2\/27) assuming u is positive.\nAnswer: u**(-1651\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -3 + (-2*(sqrt(425) + 2) - sqrt(425))*1 + 1 + -4)**2.\nAnswer: 180*sqrt(17) + 3861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5)\/(-25)*(1 - (-12)\/(-4)). Let h = 94 - 89. What is the closest to 0 in u, -1, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/12*1)\/(2\/(-36)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 500548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2343501 or -2343500?\nAnswer: -2343501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1996069 to the nearest integer?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 8*s**3 - 6*s**2 - 19*s - 20. Is x(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 53\/5 of a meter?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -2*v**3 - 68*v**2 - 10*v - 166. Give w(-34).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7239\/40 + -903\/5. What is the smallest value in 10, 1\/5, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g + 28. What is the smallest common multiple of f(-6) and 595\/68 + (-17)\/(-4) + -5?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 PM and 10:29 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50901*p + 50841*p - 102397*p + 6.\nAnswer: -655*p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 10011001000011011000101 (base 2) to base 13\nAnswer: 10679c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 1 - (-2 + -2 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - 2. Let j be 36\/(-8)*(-2)\/12. Let b be 1\/(-2)*(2 + -2). What is the nearest to b in j, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**3 - 13*u**2 - 9*u**2 + 22*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 6*r - 1. Let g(q) = 4*q - 1. What is -7*g(a) + 5*t(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13685 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4165 and 765?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 0 - (255 + -253)) + -57\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h**3 + 163*h**2 - 163*h**2 + 6*h - 3*h**3 wrt h.\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2471*h - 12686 = 4520 - 2380 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 29 = y, 8 = -3*y + 5*h - 41 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*j = 4, 0 = 2*q + 2*j + 9 - 25. Calculate the greatest common factor of 15 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 161 + 498. Suppose 6*o + z = -931. Let k = 114 - o. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-50 + (-56 - -115) - ((0 - 1) + 41))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2500) + (sqrt(2500) - (sqrt(2500) + sqrt(2500)*1)*-6) + sqrt(2500))\/(1*sqrt(5)*5 + -4*-1*sqrt(5)).\nAnswer: 50*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*y = 167636 + 168964. What is y rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeellfefle. What is prob of sequence efl?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000051161 rounded to six decimal places?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1532902 (base 10) to base 15.\nAnswer: -2042d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 62 = -d, 2*d - 26 = -3*a + 5*a. Let c = 45 + a. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 46, 3, 5, -3, 22 in decreasing order.\nAnswer: 46, 22, 5, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of h**2\/2 + 8*h + 4. Let k be o(-6). Let f = -1 + -3. Put 4, f, k in decreasing order.\nAnswer: 4, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 - 3*p - 15. Let q be o(-4). Is ((-239)\/5)\/(q\/(-325)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2329*b**3 + 179*b + 178. Determine k(-1).\nAnswer: 2328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence geg when three letters picked without replacement from {e: 1, o: 4, b: 1, g: 2, t: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3334 - 342?\nAnswer: -4120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3\/4  (b) -0.04  (c) -2\/65  (d) 9  (e) 4  (f) 69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, e: 4, p: 3, w: 3, a: 2, c: 4}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 339 + 365 = 698. What is the greatest common divisor of j and 952?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 45 = -3*l - 3*p, 5*p = -5*l - 85. What are the prime factors of (-3)\/2*l\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*n**2 + 61*n**2 - 22*n**2 - n**2 + 16*n**2 + n**2.\nAnswer: 91*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v*v**(-1)\/v)**(2\/35)\/(v**(2\/7)\/(v\/v**(-3\/2))))\/((v*v*v**(-7)\/v*v)\/v**(1\/8))**(3\/4) assuming v is positive.\nAnswer: v**(1357\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2879655195 to the nearest integer?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 15.5088 and -945.\nAnswer: -14655.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -3*x - 1402, 2*x + 0*o - o + 944 = 0. What is x rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.76729ml to litres.\nAnswer: 0.00476729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 728*u - 723*u + n - 74676 = 0, 2*n = -2*u + 29864. List the prime factors of u.\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36517958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*s - 70*s**3 - 4*s + 67*s**3 + 10*s - 12*s**2 = 0. Calculate s.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1521241891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j, -3*z = -4*z - 5*j + 309. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -435\/28 + 6339\/308. Find the common denominator of o and -37\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/(b\/(b\/(b*b*((b*(b*b*((b*b*b**(-4\/9))\/b)\/b*b)\/b*b)\/b)\/b))))\/(b*b**8*b))\/(b**0)**(5\/6) assuming b is positive.\nAnswer: b**(-104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 502801565 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 3)*(0 + 1 + 0)*((0*p + 0*p + p)*(7 + 1 - 4) - 4*p + 0*p + 2*p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-1\/3))**(1\/48)*z*(((z*z**(1\/3))\/z)\/z)\/z*z*z*z**(-3)\/z assuming z is positive.\nAnswer: z**(-191\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 10 - (17 + -36 + (-6 - 5)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 423\/658 - (-13923)\/294?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**2 - x**2 + 2*x**4)*(2 - 2 + 1 + (2 - 4 + 4)*(-2 + 1 - 1) - 2 - 3 + 3 - 1 - 3 + 5) - 21*x**4 + 0*x**4 + x**4.\nAnswer: -28*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.70276613 rounded to 3 decimal places?\nAnswer: -0.703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 - 6*q - 16. Let v be 122\/(-18) - (-1)\/(36\/(-8)). Let c be o(v). What is the greatest common factor of c and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -145, -73, -19, 17, 35, 35, 17?\n\"Answer: -9*a**2 + 99*a - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -1. Let i(h) = h**2 + 6*h + 2. Let n be i(-6). Let b be (n + -4)\/4*-12. Solve m = b*c - 4*c + 2*u, -3*u - 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m + 0*m + 2*m**3 + (m**2 + 4 - 4)*(0 + 2*m + 0) + 3*m**3 + 2*m**3 - 4*m**3 + 78*m**3 - 72*m**3 + 146*m**3 - 2*m + 2*m - m**3.\nAnswer: 156*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -198631 = 21*q - 160*q. Which is greater: 1427 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*u = -1061121 - 548800 + 455797. What is the ten thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i**4 - 180*i**3 - 48*i**2 + 2096*i + 2880 = 0.\nAnswer: -2, 4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 491551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 5:54 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*n + 0*n + 9*n - n - n + 3*n - 2 - n + 2 + (5*n - n - 2*n)*(-3 + 1 + 0) + n - 4*n + 4*n)*(-n + 2*n + n) as q*n**2 + h + t*n and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10394*d - 6973*d + 666*d - 2 - 2278*d.\nAnswer: -18979*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3353*q - 3351*q = k + 3, -q + 15 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x - 2*f = -4*x - 6, 5*x - 4*f = 27. Suppose 0 = -5*t + x*n - 122, -t - 4*t - 118 = -2*n. Let q = t + 38. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f**3 + 136*f**2 + 836*f - 5776 = 0. Calculate f.\nAnswer: -19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1879.776 milliseconds?\nAnswer: 0.0313296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 7. Suppose 2*a + 3*w + 3 = 0, 5*a - y*w + 12 = -5. Let p(s) = 7*s. Let g(k) = 4*k. Calculate a*p(c) + 5*g(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 95\/57 - (5 + -3 + 1). Let u be ((-14)\/(-35))\/(4\/(-5)). Sort u, 0.3, 1, c.\nAnswer: c, u, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -94.3 times -184\nAnswer: 17351.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = -21*n - 5*j, 7*j - 5*j + 29 = -n + 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/8 - 77\/(-44). What is the second smallest value in g, 5, 140?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of v**4\/30 + 4*v**3\/15 + 4*v**2\/5 - 25*v. Factor w(x).\nAnswer: 2*(x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from wwwwcwwwcckwwc.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1288\/30)\/7 + -9 + 3. Let b*g + 4\/15*g**2 - 2\/15*g**3 - 4\/15 = 0. What is g?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -123 - 10c6a7?\nAnswer: -10c7ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8550 is divided by 1187?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**21*s**(-16)*s*(s\/(s*s**(-16)))\/(s**3*s) assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42 - 18. Let j be ((-30)\/7)\/(u\/(-112)). Does 31 divide (-734)\/(-8) - (-5)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-42)\/9)\/((-160)\/240). Let a(k) = k**3 - k**2 + 8. Let v be a(0). Which is greater: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -2 - (10 + -6 + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 513279798.\nAnswer: 2, 3, 3181, 26893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 5505000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.97862 to 2 dps.\nAnswer: -0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1270\/70 + -23 - (0 - (-15)\/(-3))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dqppdddddpp. What is prob of picking 1 p, 2 d, and 1 q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 255181669?\nAnswer: 487, 523987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*i**2 - 30*i**2 - 3*i**2 - 35*i**2.\nAnswer: -76*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -153 + 155. Suppose 0*x = -4*g + x + 1084, 5*g = c*x + 1355. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 7. Let k be 13 + h\/(-9)*3. Suppose -l + k = 3. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32 (base 4) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 8*j + 11. Let x be t(-8). Let p = x - -77. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - a + 350, 0 = -2*v - a - 116 - 109. Let y = -113 - v. Find the third derivative of -36*g**2 - 5 - 13*g**y - g**4 + 5 wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -611*n + 13970. Determine c(23).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + 7*b + 2. Let i be f(-7). Suppose 4*h + i = -2. Let g be h\/((-2)\/48*2). What is the greatest common divisor of 30 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.6 - -0.4. Let w = -3249 - -3245. What is the nearest to 2 in 1, v, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1832509845 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (56\/(-12))\/(-1) + 3\/9. Suppose 6*a + 3*m + 1546 = a, 5*a = l*m - 1530. Is 15 a factor of -2 + 4 - a\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 + -9. Let c = 23 - w. Suppose 3*q = 4*f - c, -4*f = 5*q + 9 - 36. Let j(g) = -g**2 + 3*g - 2. Calculate j(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -966 + 971. Which is the second smallest value?  (a) q  (b) 1  (c) 0  (d) 175  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(204)\/sqrt(3) - sqrt(17)) + (sqrt(68)\/(sqrt(4)*4))**2.\nAnswer: 1\/16 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*q - 263 + 3443 = 57*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-28)\/(-3*(-2)\/(-27)). Find the common denominator of 67\/(-21) - (-4)\/(-6) and (-6)\/21 - 664\/j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1346710699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -42 and 10032?\nAnswer: -421344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 117\/5  (c) 301  (d) -5  (e) -39  (f) 1  (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 177 and 261.\nAnswer: 15399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 28703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 482806735?\nAnswer: 5, 59, 827, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*i = -16*i - 838 - 437 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 441328 is divided by 1310?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35386 is divided by 17688.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13791514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((3 + (0 + sqrt(98) + sqrt(98))*-4 + -5*(sqrt(98) - (-2 + sqrt(98))))*3)**2.\nAnswer: 7056*sqrt(2) + 56887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.115244, 0.1, -2\/25, 2?\nAnswer: -0.115244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 322*h + 3731. What is r(335)?\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -8432419, -16864837, -25297255?\n\"Answer: -8432418*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*y + 4 = -35*y - 3*z, y - z - 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3727473\/100 + -37274. Find the common denominator of 1\/110 and x.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 714717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -295?  (a) -3\/4  (b) -0.1  (c) -3  (d) 4  (e) 89.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, -28, -83, -156, -241, -332, -423, -508?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3.922 and 0.4?\nAnswer: 3.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 - 14 + 8)*(-2*a + 4 - 4)*(-a**2 - a**2 + 3*a**2) + 2*a**2 - 2*a**2 - 4*a**3 in the form q*a**2 + w*a**3 + p + r*a and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 4. What is the biggest value in 9, o, -0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50 by 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28059 + -14747. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 10, -9.\nAnswer: -9, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 divided by 6.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*q**3 - 12*q**2 + 155*q wrt q.\nAnswer: 18*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 18*p - 25. Let c be (-3 + 7 + -3)*-9. Is 9 a factor of 212\/12 - p\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-12)\/(-15))\/((-4)\/(-10)). Factor -11*b**4 - 14*b**2 - 6*b**4 - 4*b - 45*b**3 - 8*b**4 - 10*b**i.\nAnswer: -b*(b + 1)*(5*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p - 8. Let r be m(-11). Let t be r + 2 + 33\/3. Let o = 10 - t. Let j(n) = n + 1. Give j(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (1 - 5) + 14 + -11 + (35 - 20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 32?  (a) 2\/9  (b) -2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -5 + ((-42500)\/4700 - -1*7)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -26 - -66. Calculate the highest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 144277239.\nAnswer: 3, 48092413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of -150.61829 and 4.\nAnswer: -146.61829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 61873842\nAnswer: 6187384.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30785?\nAnswer: 5, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 50*b. Let y(f) be the first derivative of f**3 - 63. Give y(s(g)).\nAnswer: 7500*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 736 times 4?\nAnswer: 2944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100000100101110 (base 2) to base 9.\nAnswer: -24800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of -x**5\/60 - 7*x**4\/24 + 5*x**3\/3 + 3*x**2. Let g be c(-8). Let y be 1 + (-2)\/g + 3. Solve 0 = y*q - q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*h - h - h)*(4*h - 3*h - 5*h) + (-1 + 1 + h)*(h + 4*h - 3*h))*(-32*h + 138 - 138).\nAnswer: 64*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 13566 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2484 - 15324 = -206*s + 842*s for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 1311 divide 6807210180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of -1\/22*y**4 - 10\/33*y**3 + 10\/11*y + 1\/11*y**2 + 35. Solve s(m) = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-36))\/x*x\/x**(14\/5))\/(x**(19\/3)*((x\/x**(2\/13))\/x)\/x) assuming x is positive.\nAnswer: x**(5659\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 6*u**2 + 3*u - 5. Let z be l(6). Suppose 0 = -5*n - 5, -3*w + n + z = -0*n. What is the remainder when 6 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 AM and 2:34 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 28457 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 704, -4 in decreasing order.\nAnswer: 704, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -797 + 835. Solve f = -m + 40 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2*k = -5*q + 4571, -2*q = k - 1828. List the prime factors of q.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 12447654 and 8135.\nAnswer: 12455789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*(-158414)\/8*2. Let p = 120207 + a. What is p rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42232 (base 5) to base 7\nAnswer: 11133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of -3*o**3 + 3*o - 1\/2*o**2 + 1 - 1\/4*o**4. Is 4 a factor of l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5.142343 litres?\nAnswer: 5142.343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1746 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 5 = -v - 1, -5*j = 3*v + 26. Let k(h) = h**2 + 13*h + 11. Give k(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5194322km to micrometers.\nAnswer: 519432200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**2 + 8*p - 13. Let z be k(5). Suppose l = 5*y + 7 - 3, -4*y + 8 = 0. Calculate the highest common factor of l and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 3*c + 3 = 0, -c + 9 = 2*d + 5. Solve -o - 4 + 0 = -3*r, -5*o - d*r + 34 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8721 and 23598.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -374 + 410 + (-2 - 24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 7*u + 7. Let a(t) be the third derivative of t**4\/4 + 4*t**3\/3 + 2562*t**2. Determine -6*a(z) + 5*r(z).\nAnswer: -z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3929, -3931, -3933?\n\"Answer: -2*i - 3927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ydyyyyydyyyd. What is prob of picking 4 y?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -45 - -49. Suppose -5*d = n*w - 103, -5*d + 28 = 5*w - 97. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*q**4 - q**4 - 4*q**4 + (-6*q**2 + 3*q**2 + q**2)*(q**2 - 2*q**2 + 0*q**2) + 2*q**4 + 3*q**4 + 5*q**4.\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 37 + -34. Let a be (-8)\/(-4) + -2*1. Suppose a*n = -n. Solve -b*c + 1 = -2*l, 4*c - 7 = -3*l - n*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 - 6*b + 24. Let c be z(-9). Let v(s) = 7 + 4*s**2 + s**3 + 2*s - 2*s + 3*s. Let d be v(c). Calculate the greatest common factor of 56 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (-10 - (62 - 91))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -402 + -42. Let k = v + 903. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z**3 - z**3 + 0*z**3 + (4*z - 5*z + 0*z)*(z**2 - z**2 + 2*z**2) - 3*z**3 - z**3 - 6*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pi when two letters picked without replacement from ppjij?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -74d88 (base 14) in base 4?\nAnswer: -1010332330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, q: 5, o: 2, h: 3}. What is prob of picking 2 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 - 29*v**2 + 48*v**2)*(2*v**3 + 4*v - 4*v) + (7*v**3 - 22*v**2 + 22*v**2)*(1 + v - 3*v + 0)*(-2 + 3*v + 2).\nAnswer: -10*v**5 + 21*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 - 2*m**2 - 2*m - 1. Let c be (-5)\/3 - (-4)\/(-12). Let u be r(c). Suppose 3*b = -6*a + u*a + 48, 4*b - 55 = 5*a. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 + 15*x**2 - 10*x - 50. Let s be p(14). Sort 0, s, -8 in descending order.\nAnswer: s, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 - 14*a**2 - 2*a - 5. Let q be m(-14). Let u = -21 + q. Suppose u*k - 822 = 160. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*a - 22*a = -4*t + 4, -2*t = -18*a - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t**3\/3 + 44*t**2\/3 - 76*t\/3 + 12 = 0. What is t?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 109896 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -178.84 - 0.5.\nAnswer: -179.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 4*k + 2 = 0. Factor -k*i**4 - 26*i**2 + 29*i**2 - i**4.\nAnswer: -3*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 352918?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*k**3 + 6*k**3 - 22*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 - 1. Let t(v) = -9*v - 2. Let g(c) = 3 + 258*c + 228*c - 695*c + 222*c. Give p*t(w) - 5*g(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3785 and 90990643?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*d - 3434123 = -3431318 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4704 divided by 3\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + -287?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p + 3*v - 15, -3*v + 5 = 2*p - 2*v. Suppose 0 = 2*r - p*r - 40. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(76)\/(-2*sqrt(4)))*5)**2 + 2)*-5 + 1.\nAnswer: -4411\/4 + 250*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 153 + -764. Let x = 611.000261 + r. Round x to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of l**7\/504 - l**6\/72 - 7*l**4\/12 + 18*l. Let u(c) be the third derivative of k(c). Solve u(b) = 0 for b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-2)*1 + -2. Let y(m) = -7*m**2 - 50*m - 7. Let p be y(-7). Suppose p = -9*i - 5*i + 70. Sort q, -1, i in increasing order.\nAnswer: q, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 1\/2, 4\/13, -102, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 717 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 81514 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -89  (b) 4  (c) -1\/5  (d) -1287  (e) 2  (f) 0  (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 + 41*j - 613. Is 5 a factor of u(-65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 9*m**3 + 26*m**2 + 2*m - 690. Let i(x) = 25*x**3 + 72*x**2 + 5*x - 2071. Calculate -11*c(j) + 4*i(j).\nAnswer: j**3 + 2*j**2 - 2*j - 694","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p = -10*p + 26. Does -26 = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 6 = -0*i. Let v be i\/(1 + -2 + 2). Suppose -v*o - 4 = -5*o. What is the remainder when 4 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -89 divided by -205\nAnswer: 89\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a**3*h**2 + a**3*h - 9*a**3 + 111077*a**2*h - 240829*a*h**4 + 24*h**2 + h wrt h?\nAnswer: 2*a**3 - 2889948*a*h**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2981295083?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 602562c + 3?\nAnswer: 6025631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 53\/136 - 9\/34. Sort b, 0, 5 in decreasing order.\nAnswer: 5, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 314\/5 > 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -14 + 5 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -8 + 58*o**3 + o**2 - 59*o**3 - 21. Let a be g(0). Let t = a + 35. Solve -t*l = -2*l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/9 - 698\/(-6)*1. Suppose 4*i - 64 = x. What is the greatest common factor of i and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3611496 a multiple of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/40)\/((-2)\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 115 by 53.\nAnswer: 115\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kqkq when four letters picked without replacement from qqkqkqqq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/21*(-39)\/624. Let h(r) be the third derivative of 0*r**3 - w*r**8 - 3\/20*r**6 - 7\/30*r**5 + 0*r - 1\/21*r**7 + 0 - 1\/6*r**4 + 5*r**2. Factor h(p).\nAnswer: -2*p*(p + 1)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 132\/484*(35 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/8)\/(90255\/10940)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((3 + (-1 + sqrt(153))**2)*2 + ((0 + sqrt(153) + 3)*1)**2)*-5.\nAnswer: 180*sqrt(17) + 14280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 362 = 517. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m + 2. Let k be x(-2). Let n be (-240)\/(-192)*1*k. Solve 0 = -3*j + 5*t - 15, 5*t = n*j + t + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 396806 and 20?\nAnswer: 3968060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -95*s**3 - 17968705*s**2 - 849671731080*s - 223596579600 = 0.\nAnswer: -94572, -5\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52570245 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -72 or -71?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 + -2430537\nAnswer: -2430537.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -10*k. Suppose 4*h = 3*u - 1 - 21, 2*h + 8 = 0. Suppose -u*l - 2*l - 7*l = 0. Let c(j) = 4*j - j - j + l*j. Give c(p(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) 0.5  (c) 0.0234063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a factor of 2321967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l + 91665 = 20*l + 35*l. Calculate the highest common divisor of 97 and l.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.02 - 0.28. Let y = -6692.5 + 6693. Let w = -0.2 + 0.16. What is the biggest value in w, y, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42 - (103 + -165) - 137.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57033*a**2 + 2*a + 57021*a**2 - 114279*a**2.\nAnswer: -225*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 999*m = 12821 + 27139 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) -59  (c) 2\/69  (d) -1\/4  (e) -1.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 89.029266 rounded to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 452 = 4*r - 0*p, -225 = 2*r - p. Let s = r + 786\/7. Find t, given that 2\/7*t**5 + 6\/7*t**3 - s*t**2 - 6\/7*t**4 + 0*t + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 16 = -2*w. Suppose 4*g - w = 4. Calculate the remainder when 2 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 135648876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 217703290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-11))\/3 - 19314\/2871.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3\/3 + 724*n**2\/3 + 131765*n\/3 + 260642\/3.\nAnswer: (n + 2)*(n + 361)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*k + 2*k**2 + 2*k**3 - 16*k)*((42 - 42 - 10*k)*(0*k - 4*k - 2*k) + 0*k**2 - 11*k**2 + 3*k**2).\nAnswer: 104*k**5 + 104*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from shsc. What is prob of picking 1 s and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 987.05*-0.5\nAnswer: -493.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.13592 - -30.86408. What is the closest to -4 in f, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 13339, -225?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3*2*(1 - 0). Let t be (-8)\/12 - (-50)\/f. Let z be 467998\/(-9) + 2\/t. Round z to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 x, and 2 b when four letters picked without replacement from bxboxxxrbb?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 434320 (base 5) to base 4.\nAnswer: 3221300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lggrrqljqgrggjqgj. Give prob of picking 1 j and 1 g.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -18*a**3 - 3*a**2 - 10*a + 26. Let j be f(12). What is j rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623487 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -9, -30363, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 25143, 25144, 25147, 25152?\n\"Answer: q**2 - 2*q + 25144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2351\/3 or 783?\nAnswer: 783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7313277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 343, 335, 313, 271, 203, 103, -35?\n\"Answer: -f**3 - f**2 + 2*f + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 860 divide 124680220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-1\/24)*o*o*o)**(1\/5)\/(o**(3\/4))**(-2) assuming o is positive.\nAnswer: o**(277\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**2 - 39390696*s - 96976683210276.\nAnswer: -4*(s + 4923837)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 5 - 27. Let q be 688\/258*(26\/8 + -1). Suppose -t = -p - q. Solve p*b + 6 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -4*n**2. Let f = 17 - -7. Let g = f - 13. Let v(x) = g - 11 + x**2. What is v(l(u))?\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 655 is divided by 108.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -81443*z + 162724. Give n(2).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 2*z - 2. What is h(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 123*d + 1. Let c(j) be the third derivative of -j**4\/24 - 86*j**2 - 4. Give b(c(r)).\nAnswer: -123*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3203728 and 418.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -5*l**2 - 265*l + 2790 = 0.\nAnswer: -62, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-57)\/(-684) + (-147)\/252?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/84)\/(70*(-18)\/(-3024)*-4)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30714739*g**2 - 5210901*g?\nAnswer: 61429478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11576 a factor of 2016274812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ifjfffffdfimjffmd?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001048053 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3219, -6446, -9679, -12918, -16163, -19414?\nAnswer: -22671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 76701.96 grams?\nAnswer: 0.07670196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 67050388 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 73335185 divided by -5\nAnswer: -14667037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -0*m + 9. Suppose r = 5*d - 15 + m, -r = -3*d + 6. Find the second derivative of -2*b**5 - 3 + r + b wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9645.\nAnswer: 3, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -119\/6 + 20. Let a = -0.02 + 0. Let y = a - 0.48. What is the nearest to 0 in -0.2, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ibiiiibbbibib. What is prob of picking 2 i and 1 b?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -8  (b) 1  (c) 0.1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 83776605 and 83776608 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 22 = -2*n + 6*o, 2*o - 36 = 4*n. Let s(w) = 4*w**2 - 2*w + 7. Is s(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 2 k when four letters picked without replacement from kkkakka?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 + -6. Let m be 36\/(-10) + 4\/(-10). Let i = m + o. Solve -3*p + 3*f = -0*f - 12, p = -i*f + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -77*s - 50. Let k be a(-9). Let i = k + -310. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 2 - (242 - 230)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-9)\/12)\/((-117)\/468). Suppose -19 = -5*n + 36. Let u = -13 + n. Sort u, -1, h in decreasing order.\nAnswer: h, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -45, -37, -29, -21?\n\"Answer: 8*r - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, d: 1, y: 2, t: 1, v: 7, k: 1}. What is prob of picking 3 v and 1 m?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2349 = -2*r - 819. Let h = -855641\/470 - -10773\/47. Let k = h - r. Calculate the common denominator of k and 161\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 4*f - 79 = -4*c, -100 = -5*c + 5*f. Let r = 213 - 121. Calculate the remainder when r is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -4, 154, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/30*25*10\/(((-1045)\/33)\/(-19))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 102 = 2*a, a - 8*r + r = -3*r - 8*r - 51 for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 51 - 45. Suppose -p + d*p + 15 = -5*x, x = -2*p - 1. Factor -6*m**p - 2*m**2 - 4*m**3 + 0*m**3 + 0*m**2.\nAnswer: -4*m**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11887.8895 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -30*l**3 - 7*l**2 + 27*l + 1. Let p(s) = -20*s**3 - 5*s**2 + 18*s + 1. Give 5*a(d) - 7*p(d).\nAnswer: -10*d**3 + 9*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -175*f**4 - 14*f**4 - 2*f**4 - 8*f**4 - 368*f**4 + 295 wrt f?\nAnswer: -2268*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/5 - 0)*-10. Let t = -60724 - -60724.1. Which is the closest to t?  (a) s  (b) 0.5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -5. Let c(v) = 3*v - 3. Let s be c(u). Let a be 93\/(-21) - (-90)\/210. Put a, s, -1 in increasing order.\nAnswer: a, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 77750 and 3603868?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((4 - (-13 + 14)) + -9 - 55) + 14.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 681*h + 12 = 684*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l + 10. Let a be s(6). Suppose 4*v = -2*q + 16, 22 = 2*q + 3*q + a*v. Solve -c - q*c - 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 5 - 2*f**2 - 1 to the form o*f + y + g*f**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5939.9 + 5942. Put -3, u, -43 in increasing order.\nAnswer: -43, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -834\/10649 + 34949777\/3940130. Let p = 144\/37 - j. Calculate the common denominator of -9 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*m + 19 - 82 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -297328095*c**2 - 319484889.\nAnswer: -594656190*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 7:36 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of 4*u**6\/3 - u**5\/5 + 77*u**3\/3 + 49. What is the third derivative of f(p) wrt p?\nAnswer: 480*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*c + 911 + 1261. Let w be c\/(-6) - -3*15\/27. What is the second biggest value in -0.3, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 255378037 to the nearest integer?\nAnswer: 15981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - 344?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -4 - 3)\/(-14 + (-14122)\/(-1012)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(1*sqrt(114) - sqrt(114)))\/(-1*sqrt(30)\/sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -375623, -375363, -374929, -374315, -373515, -372523, -371333, -369939?\n\"Answer: o**3 + 81*o**2 + 10*o - 375715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140017 is divided by 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*t + 842*q = 847*q + 200, -5*q - 100 = -9*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 153*0.4.\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 3*j - 21 + 60, 0 = a - 2*j + 30. Let l = a - -75. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 + 18*t - 46. Let k be h(-17). List the prime factors of (-10)\/((-60)\/(-54))*k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6, 0, 5, 218, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (572 - -3)\/(-5) - -2. Let l = y - -140. What is the least common multiple of 21 and l?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 - 348db?\nAnswer: -348e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2952 - 4?\nAnswer: -2956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - d)*(13 - 6 + 3) + 3*d + 2*d - 2*d)*(2 - 2 + 3) + 2*d - d - 2*d + (1 + 0 - 3)*(-d + 0*d + 2*d) - d - 2*d + d - 2*d + 2*d - 2*d.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 + 9*r**2 + 23)*(130*r**3 + 1012*r**2 - 250*r**3 + 119*r**3).\nAnswer: -9*r**5 + 9108*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132728299?\nAnswer: 11, 17, 709777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 88855478 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (102\/85 + -2)\/(-5 + 4 + 24\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1073, -8503, -28651, -67877, -132541, -229003?\n\"Answer: -1060*a**3 + a**2 - 13*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -2. Suppose -3*o = u - 20. Suppose -h = 5*p - 662, 3*h + 192 = o*p - 462. 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: Expand ((0 - 1 + 0)*(0 + 3 + 1) + 1 - 2 + 0)*(2 - 2*j - 2).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32 - 29. Let h be g\/15*10\/2. Suppose 2*t + 2*t + 6 = -5*q, -3 = -3*t. Sort h, 5, q in decreasing order.\nAnswer: 5, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together -27089 and -107078679.\nAnswer: -107105768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.19 - -0.09. Let o = -0.16 + 4.16. Which is the nearest to 14?  (a) f  (b) o  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-66)\/(-90)*(-2)\/(-22))\/(4\/(-50)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**2 + 9*m + 13. Let j be x(-4). Is 3\/j + (-42592)\/(-33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 5 + 2 + 1 - 6 + 11*y. Let a be d(2). Factor -11 - a - 3*b**2 + 17 + 15*b.\nAnswer: -3*(b - 3)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, u: 10, h: 4}. What is prob of picking 3 h and 1 i?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -89, -141 in decreasing order.\nAnswer: 4, -89, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/13))**(-1\/8)\/(u**(-8\/3)*u*u*(((u*u*u\/(u*u\/u**(-20\/7))*u)\/u)\/u*u)\/u*u*u) assuming u is positive.\nAnswer: u**(1685\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 219 and 1960\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 16885192 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2. Let m be (2\/(-2))\/(4\/(-8)). Let v(x) = -61*x + x**m - 53*x + 114*x. Determine v(q(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 != -2773\/5300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(648) - sqrt(648)*-3)\/(sqrt(6) - (sqrt(6) - ((sqrt(384)*-1 - sqrt(384) - sqrt(384)) + sqrt(384)))).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 3 + 2 + sqrt(13) + -2 + 0 + 2 + sqrt(325).\nAnswer: 3 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 187536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -37 (base 10) to base 16\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -560 + 566. Factor 56 - 2*u**4 - 8*u**5 + 4*u - 46*u**2 - 25*u + u**5 + u + 29*u**3 + n*u**5.\nAnswer: -(u - 2)**3*(u + 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 477 - 15703\/33. Let q = f - 9\/11. Suppose 5*o + 6 = z, 0 = o + 3*z - 2*z. Are o and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -12, -20, -28, -36, -44, -52?\n\"Answer: -8*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, -13, -1 in decreasing order.\nAnswer: 1, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - 3. Let j(z) = 2*z**2 + i*z**2 - z + z**3 + 3 - 3*z**2 - 4*z**2. Give j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*f + 32046753 - 32046753.\nAnswer: 58*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o - 2*o + 825 = 0. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is aff7 (base 16) in base 11?\nAnswer: 30932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -41, -53, -65, -65, -41, 19?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7870817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 4*a**2 + 2*a - 2. Let y be s(1). Let u = 5 - 4. What is the second smallest value in y, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -2, 57027227, 0.4.\nAnswer: -2, 0.4, 6, 57027227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xfxeoeaoatfx. What is prob of sequence at?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, 13, 32, 65, 112, 173?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*c - 2*c + 3*c = -96 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/8 + (-9)\/(-4). Suppose -k - m*k + 15 = 0. Suppose 2*r = -k*c + 14, -5*c - 51 - 19 = -5*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -110*s**2 + 9 - 228*s**2 - 3*s + 4*s + 39*s**2. Let f be q(-4). What is the remainder when f\/108*(-8)\/3 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 8*r - 16*r - 14 = 6*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*s + 6 - 6)*(s - 2*s + 3*s)*(36*s + 112*s - 12*s + 122*s) in the form h*s**3 + u*s + f + q*s**2 and give h.\nAnswer: -2580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -628?  (a) -1\/4  (b) 23  (c) -2\/143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q - 2. Let y be p(5). Suppose -12 = -5*s + y. Suppose 0 = s*m - m - 12. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y + 9. Let b(u) = 2*u + 40 - 3*u + 45 - 76. Calculate -4*b(i) + 5*w(i).\nAnswer: -i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 - o**2 + 53*o + 66. What is a(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - b + 2 = 0, -5*l + 0*b - 10 = 5*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*r**4 + 7*r**4 - 2*r**4 + (-2*r - 8*r - 3*r)*(-7*r**3 + 7*r**3 + 7*r**3) in the form a*r**4 + q*r**2 + c + g*r + f*r**3 and give a.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, a: 7}. Give prob of sequence xaa.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 - 9. Calculate the least common multiple of j(6) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (4 - 5)\/(10\/(-42)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2 = -1. Let u be -1*13*(-1200000)\/k. Round u to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 133\/63 - 1\/9. Let j(q) = 10*q**2 + 5*q**y - 14*q**2 - 4 - q + 3*q. What is j(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + (14 - (0 - 8 - -14 - -5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 298017 is divided by 1468.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*j - 5*j + 36 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eegegege. What is prob of sequence egee?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133)\/((sqrt(42)\/(sqrt(24)\/sqrt(4)) - sqrt(7)) + sqrt(7)))**2 - (sqrt(95)\/sqrt(45) - (sqrt(19) - -6*sqrt(19)*-1)).\nAnswer: -16*sqrt(19)\/3 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(6\/3150*25)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.5?  (a) 0.4  (b) -287  (c) -0.2  (d) 2\/3  (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -102 + 113. Let o(l) = -626*l**2 + 11*l + 25. Let t be o(a). Round t to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 78618  (b) -1\/3  (c) -2\/3  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -3*v**3 + 15*v**2 - 12*v = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1638443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 7795*c**2 + 2 + 9030*c**2.\nAnswer: 1235*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -2*h**2 + 39*h + 61. Let z(i) = 3*i**2 - 78*i - 122. Let m(s) = 5*j(s) + 3*z(s). What are the prime factors of m(-28)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112*n = -96*n - 224. Put n, -7, 4, -5 in ascending order.\nAnswer: -7, -5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -125389163*a**4 + a - 64991771 wrt a.\nAnswer: -501556652*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 18, a: 1}. What is prob of picking 3 x?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -55 - 61*v**2 - 10 + 116 - 52 + v to the form z*v**2 + r*v + b and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 714093 divided by 156.\nAnswer: 238031\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 - (-22 - -19)) + (-24 - -9)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(3\/5)*t**(5\/2)\/t*t)**19*(t**3*t**(3\/2))\/(t**4\/t**(-1)) assuming t is positive.\nAnswer: t**(292\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5736 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = n + 7 - 1, 0 = -4*n + 2*a - 52. Put -3, 16, n, -1 in decreasing order.\nAnswer: 16, -1, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/20*23525\/(-65870)*4*5*-1\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzugzbgbgbggzg. Give prob of sequence bb.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1182179 is divided by 295541.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 48524 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 23531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 90 and 2610?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seven thirds of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 39 - -44. Suppose -f + 2*h - 3*h + q = 0, 411 = 5*f + 4*h. Suppose -2*y = -w + y + f, -4*y - 395 = -5*w. Is w a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d + 5*d - 3932 = -782. Calculate the remainder when d is divided by 202.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cdbbrbrrrcrrrrrcrr. Give prob of sequence cbcd.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Sort 60, -6, -17, -1, 2.\nAnswer: -17, -6, -1, 2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.63 + 1.1.\nAnswer: 4.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 12:08 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 23344 - 323420?\nAnswer: -300032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129750?\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 322270895?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 PM and 3:36 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63 and 33318.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/(-4))\/(1\/(-468)). Suppose -2*g = 10, -12*n + 4*g = -10*n - 30. Suppose v = n*r - 134. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22112 (base 6) to base 16.\nAnswer: -bfc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7200) + (sqrt(7200) - ((sqrt(7200) - (sqrt(7200) - (2 + sqrt(7200))))*-1)**2) + 2.\nAnswer: -7202 - 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (120 - 23) + (427 - 490)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - 9*b**2 + 4*b - 3. Suppose 11*a - 13*a + 8 = 0. Suppose -3*l = -a*j - 0*j - 27, 4*l - 36 = -j. Is t(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1066640006 + -5?\nAnswer: -1066640013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 8:38 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 - 34*v - 215. Determine o(-32).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 760 divide 5548000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 + 66 + 27)*(6*u**3 - 2*u**3 - 2*u**3).\nAnswer: 148*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 203454 - -1?\nAnswer: 203455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -4*g + i + 3485, -g + 874 = -3*i. Suppose 0 = 2*c - c - g. Let x = -290 + c. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -287906 (base 12) to base 11.\nAnswer: -42266a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.5842774 and 0.926.\nAnswer: 2.5102774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -5. Suppose 3*b - 45 = m + 2*m, 0 = -m - y. What is the highest common divisor of b and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2*sqrt(704))**2 + 0.\nAnswer: 128*sqrt(11) + 2832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 j when four letters picked without replacement from {j: 8, m: 4, t: 8}?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5592*q**3 + 9578.\nAnswer: -16776*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 47, 80, 89, 44, -85, -328?\n\"Answer: -5*w**3 + 18*w**2 + 14*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 129946 divided by -11?\nAnswer: -129946\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.03  (b) -0.3  (c) 88.46  (d) -2  (e) 0.001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3092301*0.5.\nAnswer: 1546150.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 AM and 12:06 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 8 + 7. Let c be 1 + (-1495)\/(-35) - (-4)\/14. Suppose 4*j - 4*o - o - c = 0, 3*o + 36 = 4*j. What is the remainder when j is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7973267\/14 or 569518?\nAnswer: 569518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.03 - 3.03. Let y = -2.9 - j. Let p(x) = -x + 12. Let r be p(8). Which is the second biggest value?  (a) 3  (b) r  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 - 0 - (-10 - (-26 + 17))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 - 2*k**2 - 2*k + 40. Let g be d(0). Let w be 2\/(-5) + g\/(-25) + 3. Let j be ((-2)\/w + 0)*1*-1. Solve -15 = -j*n + 7*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5073921 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 648, 967, 1152, 1209, 1144?\n\"Answer: b**3 - 73*b**2 + 531*b + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b and 1 v when four letters picked without replacement from {n: 1, v: 2, b: 1, l: 1, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g\/(g\/g**(2\/9)*g)))**(-2\/15)*g\/(g*g*g**0)*g**(-8\/3))**(-2\/81) assuming g is positive.\nAnswer: g**(1054\/10935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 r, 1 i, and 1 a when four letters picked without replacement from arapili.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 214122\/15 + 7\/70*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 35 = -5*p + 54, -2*w - 83 = -5*p. Let o = 6271 + -6268. What is the least common multiple of p and o?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 1:08 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 8*j + 3. Let i be a(-4). Let w = 54 + i. Suppose 5*v = 5 + w. What is the greatest common factor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 6*q = -25. Suppose q*s - 7 = 4*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-377)\/(-117) + 4\/(-18). Let g(t) = 5 - 2 - y + 5*t**2 - 3*t**2. Let h(z) = -55*z**2. What is h(g(n))?\nAnswer: -220*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.252377084 rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -5 + ((sqrt(17) + 1 + 5 + 1 + sqrt(2448) + sqrt(2448))*4)**2 + -3.\nAnswer: 5600*sqrt(17) + 170780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3057, 6182, 9335, 12528, 15773?\n\"Answer: 2*j**3 + 2*j**2 + 3105*j - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -505 + 502 + (2*-1)\/1 + -1161. Is f <= -1166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2936 - 1352. Is o a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117)\/(sqrt(36)\/(sqrt(32)\/sqrt(8))) - 5*1*sqrt(52)) + 2)**2 + -2.\nAnswer: -36*sqrt(13) + 1055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 - 2*4\/4. Let z(s) = -s**3 - 3*s**2 + 4*s + 4. Let y be z(-4). Suppose -d - 10 = -n - n, b = -y*d - 8. Solve 0 = r + n*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -927 + 932. Sort 1, n, -13, -4 in decreasing order.\nAnswer: n, 1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 PM and 3:52 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 6*l + 12. Let r be o(-2). Let t be 0\/(3 + -2 + 1) - r. Solve t = -21*p + 17*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8139486 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*z + 0*z - 3*z)*(-2401 + 17*z - 2*z + 2321) in the form k + l*z**2 + u*z and give u.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*s**2 - 15*s**2 + 2*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 988, 1373, 2014, 2911, 4064, 5473?\nAnswer: 7138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 3 - 3 - 2*o. Let z(l) be the second derivative of -56*l + 0*l**2 + 0 + 5\/6*l**3. Calculate z(v(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -63 and -7268.\nAnswer: 457884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/8 + (-18)\/24. What is the closest to 2\/7 in j, 4, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104 = 4*n - 18*n + 104 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -84, -89, -94, -99, -104?\n\"Answer: -5*x - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54 = 13*f + 2*r, -5*f + 3*r - 2049 + 2066 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -5. Let q = z - -1. Suppose 2 + 2 = 2*l - 2*t, -3*t = 4*l + 6. Which is the closest to 0.1?  (a) q  (b) -1\/6  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 2, 8815, 47, -15.\nAnswer: -15, -10, 2, 47, 8815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2641882 is divided by 440312?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1006\/9 + -112. Let s = 113 - 74. Let h be (-2)\/(-3) + 26\/s. Which is the nearest to n?  (a) -5  (b) h  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -0.46, -3, -2?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 7*w - 4*w. Let p(y) = 65*y**2 - 3*y - 3. Let i be p(w). Suppose -m - m - i = -u, -u = m - 50. What are the prime factors of u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -4*n - 1. Let c(h) = -3*h. Let k(r) = -3*c(r) + 2*m(r). Let s = 30 + -33. Give k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 53.2 + -60. What is i rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174239 is divided by 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -39516, 11 in descending order.\nAnswer: 11, 5, 2, -39516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5323 - 5319. Let f = 33 + -100\/3. Sort k, 0.3, f in ascending order.\nAnswer: f, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -71 and -88 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96721.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9*(-12)\/(-27))\/8*8\/(-52)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j + 3. Let a be s(-7). Let o = -3 + a. Let g = -42 - -61. What is the remainder when g is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 take away 5203?\nAnswer: -5202.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -45.79505 - -45.8. Round z to four decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 12*t**4 + 40*t**3 - 4*t**2 - 16*t. Let r(k) = 4*k**4 + 13*k**3 - 2*k**2 - 5*k. Let s(v) = 5*n(v) - 16*r(v). Factor s(o).\nAnswer: -4*o**2*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = -4*q + 52, 1036 = 81*q + 793 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -r**6\/36 + r**5\/6 - 5*r**4\/24 - 5*r**3\/18 + r**2\/2 - 89. Solve g(j) = 0.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 3*s = 156, 155 = 3*v + 14*s - 10*s. Is v a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 434433 and 835697.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1218, 3, -4, 21, 6, 2 in decreasing order.\nAnswer: 1218, 21, 6, 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 4 - 9 = -5*f, 3*f - 3*y - 3 = 0. Suppose 2*m - 1 + 14 = o, f*o - 21 = -m. Solve -n = -o*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*c + 160 = -178. Is c <= 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24219\/57 - (-9)\/114*(-100)\/(-75) and 51.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(8\/15))\/o**7)\/((o\/((o*o**(-1\/22))\/o))\/o*o*o\/o**(-2\/25)*o*o) assuming o is positive.\nAnswer: o**(-17587\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1249b8 (base 15) to base 6.\nAnswer: -30441015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -4 + -5 + -2*(3 + sqrt(448) + sqrt(448) + 4 - sqrt(448)))**2.\nAnswer: 800*sqrt(7) + 2417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 216353.\nAnswer: 19, 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 6*j + 58. Let n be m(-9). Suppose -5 = 3*k - 2*i, -2 = -3*k - i - n*i. Is 3\/170 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1269595 is divided by 36220?\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 6 + 3. Suppose -2*l + 16 = 2*k - 0*l, -3*k - 4*l + 29 = 0. Let s be (-1)\/r - (-59)\/k. Calculate the highest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1864405434 to the nearest integer?\nAnswer: 43179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 159 and 73233333?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -388.9709 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17236577 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 + 0)\/((-9)\/(-108)). Let t(g) be the third derivative of -g**5\/60 + 7*g**4\/12 - 5*g**3\/3 + 2*g**2. Is 14 a factor of t(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*o + 13036 = 17433 - 12567 for o.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -42*t + 2. Let r(m) = -10*m. Let v(f) = 2*o(f) - 9*r(f). Let l be v(0). Let c = -11 + 27. Solve 0 = -l*w + 2*d - 14, -3*d + c = -w - 0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 26079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -3\/14*r**4 + 6\/7*r**3 + 32 - 6\/7*r**2 + 0*r. Let d(m) = 0. Calculate m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 289 + -274. Solve -3*p = -t + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 113 - -15. What is the highest common divisor of 96 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11 and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000706 to five dps.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 93 divide 3708220112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -1 + 11. Let h(n) = -n + 7. Let s be h(x). Find the third derivative of 3*k**3 + 8*k**s - 6*k**2 + 0*k**2 wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of 9*x**3 + 5*x**2\/2 + 5*x + 1713. Let o(h) = 688*h**2 + 128*h + 128. Determine 128*i(f) - 5*o(f).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 + -10. Suppose 2 + 10 = s*z. Suppose 0 = 4*j - z*j + 62. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.2 + -1.8. Which is the fourth smallest value?  (a) -4  (b) 2  (c) -2\/7  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d - 10. Let i(u) = 3*u - 30. Let h(t) = -3*i(t) + 8*y(t). Let j be h(2). Which is the smallest value?  (a) j  (b) -0.7  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - 11) + -3 - (1 - 4). Let f(v) = -v**2 + 7*v + 222. Let k be f(s). Calculate the highest common factor of 1080 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**2. Let f(w) = -w**2 + w. Let b(i) = 2*f(i) - 3*t(i). Let s be b(-1). Let y be 8*2\/((-4)\/s). Solve y = h + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + 400 + 500. Is 5 a factor of -6*p\/10 + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -22 + 33*x - 21 + 59*x - 36 + 83 as m*x + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/(504\/684)*1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/(-2))\/((-2)\/8). Let t(c) = 3 - 3 - g*c**2. Let u(h) = 11*h**2 - 4*h**2 - 8*h**2. Give t(u(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 + 3)*(-2*l + 6*l - l) - 51*l + 29 - 31 - 56*l.\nAnswer: -86*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 203 + -3247\/16. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2215354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, -5 in increasing order.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2065 divided by 5.\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5312705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*w**2 + w - w**4 + 5*w**2 + 4 - 6*w**2 in the form t*w**2 + f*w**4 + h + d*w**3 + m*w and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/10)*g)\/g)**(2\/31)\/(g\/g**(-6)*(g\/(g\/(g\/(g*(g\/g**(6\/5))\/g))))\/g) assuming g is positive.\nAnswer: g**(-1117\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 144313344231 + 0?\nAnswer: 144313344231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of 0 + 5\/2*x**2 - 5*x - 35\/12*x**4 - 5*x**3. Factor k(q).\nAnswer: -5*(q + 1)*(7*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ipp when three letters picked without replacement from iipipiipiiiipi.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-226)\/(-6)*6\/(-40). Let b = k - -21\/4. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1473 a factor of 2993589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-357)\/(-119)*50\/6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (992*p - 166 - 6179*p + 166)*(4 - 1 - 4)*(6*p - 4*p - p) as c + s*p**2 + v*p and give s.\nAnswer: 5187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express h - 3 + 2 + 2*h**4 - h**4 - 5*h as f*h**4 + j*h**2 + i + s*h + x*h**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -38 + 44. Let o = -16 - -61. Let b = o - 27. Calculate the smallest common multiple of r and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291 = -49*z + 150 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w - 56 = 2*z - 96, -15 = 3*z + 2*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1058 and 57374811?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 238797 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*v**2 + 0*v**2 + 5*v**2)*(12 - 8*v - 8 - 3) in the form r*v**3 + j*v**2 + c*v + n and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -72*j**3 + 15*j**2 + 905*j - 15. Let l(d) = -19*d**3 + 4*d**2 + 226*d - 4. What is -15*l(s) + 4*v(s)?\nAnswer: -3*s**3 + 230*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -521411 divided by 443.\nAnswer: -1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 5, o: 14}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 391029?\nAnswer: -4\/391029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 880 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -168, 193, 550, 903?\n\"Answer: -2*h**2 + 367*h - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7 - 4*l - 6 - 33*l**2 + 10*l wrt l.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22 + 25 + 7*n**3 + 1 + 42*n**2.\nAnswer: 7*n**3 + 42*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1259 + -1229. Calculate the lowest common multiple of l and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 405*u**2 + 327*u + 4679. Is w(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -9.4, 4\/5, 2\/11, -5, -21 in descending order.\nAnswer: 4\/5, 1\/3, 2\/11, -5, -9.4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2\/2 + 385*v\/2 + 375.\nAnswer: 5*(v + 2)*(v + 75)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (262 + 0)*165\/(-110). Let p = n - -397. Solve d + 3 = j + 2, -3*d - 3 = p*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1161 or 2319\/2?\nAnswer: 2319\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of -11*b**4\/8 + 14*b**2 + 170*b + 2. Let f(h) = 2. Let c(v) = -v**2 - 5. Let i(m) = 4*c(m) + 10*f(m). What is i(s(d))?\nAnswer: -4356*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xwxw when four letters picked without replacement from wwxxxx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 2*s + 11. Suppose -55 = -n - 2*n - 5*f, 0 = 3*n + 3*f - 45. What is the least common multiple of n and o(0)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/6)\/(2950\/177 - 4)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -p**4\/4 + p**3\/3 - p**2\/2 - p - 122. Let q = 2 + -5. Is x(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -0*o - 6, 0 = -5*m - o + 2093. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/(-25) + (-77)\/110*(-60)\/210.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15342 (base 7) in base 10?\nAnswer: -4293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30654365 and 209195.\nAnswer: 4865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -29 + 31.4. Let r = -2 + p. What is the third smallest value in r, 6, 2\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + 0 - ((-6)\/8 + 0). Which is the second smallest value?  (a) 6  (b) -1  (c) -3\/2  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -53 + 118. Suppose 397*l - 203*l = 198*l - 52. Calculate the highest common divisor of h and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 2*i = 127, -m - 4*i = 2 - 23. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 AM and 8:03 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2*n**3 - 3*n**2 + 3*n - 11. Let i be a(2). Let z = 27\/196 + 3\/245. Which is smaller: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-58*d + 100*d + 471*d)*(0 - 3 + 2)*(0 - 2*d**2 + 0) + (d**3 + 2*d**3 - d**3)*(0 + 0 - 1).\nAnswer: 1024*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7211 is divided by 245.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 47769563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -251*l**2 + 5*l - 4. Let n be g(7). Let z = 1091873\/89 + n. Let c = z - -8287\/712. Find the common denominator of c and -75\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b**3*g**4 - 3*b**3*g**2 + 3*b**3*g + 6757479*b**2*g**2 + 39611225*b*g**6 wrt g.\nAnswer: -24*b**3*g + 4753347000*b*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3758 + 5056. What are the prime factors of u?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-27)\/(-33) + -1)*-2. Let q = 5238 - 5242. Put q, v, 1\/6 in descending order.\nAnswer: v, 1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 8.8. Let k = 0.7 - 0.8. Which is the nearest to k?  (a) -2  (b) 1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 107*q**4 + 13*q**2 + 4 wrt q?\nAnswer: 2568*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 198 a factor of 5088797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1851\/7 + -264. Let n = 41\/63 - o. Which is the nearest to -1?  (a) 3  (b) n  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by -56584.\nAnswer: -3\/28292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-79 - 533 + 56)*(1 + 2*y - 1 + (0*y + y - 3*y)*(2 - 1 + 1)) to l + n*y and give n.\nAnswer: 1112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 18099905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2*f + 8 = 0. Let u be f\/3 - (-5)\/(60\/832). Calculate the greatest common divisor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 - 19. Let i be (-2)\/(-3) - (30\/(-9) + a). Suppose -246 = -4*d + l, i = -4*d - 2*l + 4*l + 248. List the prime factors of d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2104945991.\nAnswer: 277, 281, 27043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3bf + -74?\nAnswer: 34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 62.6 + 0.4. Let o = m + -53. Do 1\/4 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12301.28 years in centuries?\nAnswer: 123.0128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1586293 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*j - 19*j = -3*f - 14, 2*f + 24 = 5*j. Let v = -12.23 - -0.23. What is the second smallest value in 2, f, 3, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/8*(-6)\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 3931172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91*-0.19.\nAnswer: 17.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-69)\/(-15) + -5 - (-85266)\/(-10). Let x = 12288 + w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from xhshshxsxxxhh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n + 5*x - 37, n + 329 - 358 = -5*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4*(-2)\/(-12))\/((-10)\/(-6)). Let o = 0.5 - 0. Let r = -4 + 8. Which is the third smallest value?  (a) o  (b) t  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -65 in 3\/7, -2\/11, 0.2, 4\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 7*k = 2*k - 20, -3*y - 20 = -5*k. Suppose 3*u - 22 = 5*a, -a + 2*a - 14 = -4*u. Suppose 0 = -4*c - 4*i, -1 = 2*c + 3*i - 4. Sort y, c, a.\nAnswer: y, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 + 4\/2)*-39. Let b(p) = -27*p**3 - 3*p**2 - 3*p - 1. Let r be b(-1). Calculate the greatest common divisor of f and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -460968080 divided by -4\nAnswer: 115242020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.2993 rounded to 1 decimal place?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -451458174*f**2 + 111825107 wrt f?\nAnswer: -902916348*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 12366.94km in nanometers?\nAnswer: 12366940000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4*((-3)\/12 + 1). Let r(x) = -103*x + 10. Is r(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s - s**5 + 2*s + 1 - 1 - 2*s**5 + 0*s + s**5 + 0*s + (3*s - s - 4*s)*(0*s**4 - s**4 + 0*s**4) + 5*s**3 + s**5 - 5*s**3 - s**5 - s**5 + 3*s**5.\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111*r - 50 = 110*r. What is the remainder when 155 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1 + 757*f**5 - 19*f + 1 - 731*f**5 wrt f?\nAnswer: 520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 - 9*z**2 + 23*z + 44. Calculate o(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23649913*x**2*y - 3*x*y - x - 14300*y wrt x.\nAnswer: 47299826*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2591 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 62905*x**4 + 93176*x**2 wrt x?\nAnswer: 1509720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 3*a**2. Let g(n) be the second derivative of -4*n**4\/3 - 28*n. Determine g(q(l)).\nAnswer: -144*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 divided by -26509?\nAnswer: 16\/26509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 5*n - 52, -3*n - m - 3*m = -8. Solve 0 = 2*f - 10, n = -2*x + 2*f - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tzvzfyryzttrrv. Give prob of sequence rr.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + 201. Let f = -212 + d. Solve j = -f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 2*l + 14 = 2*k, l + 7 = 3*k. Calculate the remainder when 9 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - 6. Let m = t - -13. Is m bigger than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*v + 4. Suppose 0 = -29*o - 7*o + 180. Suppose -v*f - 14 = -o*f. What is the remainder when 33 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1358135 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i - 24 = 0, -5*i - 23 - 7 = -2*u - 60 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2968 + 3023. Which is the third smallest value?  (a) -0.01  (b) -0.4  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-45)\/(-84) + (-2)\/7. Let g be (-17)\/5 - (-4)\/10. Let p = 0.472 + -0.172. What is the closest to q in -2, p, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 310 in -1, 2, 2\/11, -5, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 4*h - 28 = -4*j, 5*j = 4*h + 30. Suppose m = -n - 5, -7*n - m - 29 = -j*n. Let u = n + 17. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 76.46865 + 0.06135. Let b = 86.6 - o. Let k = b - 11.8. What is k rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c**3 - 3*c**3 - 9*c - 6*c**3 + 3*c.\nAnswer: -8*c**3 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 6179, 12484, 18899, 25430, 32083, 38864?\n\"Answer: l**3 + 49*l**2 + 6151*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of z**5\/30 + z**4\/6 + 62*z**2. Factor x(j).\nAnswer: 2*j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45 and 2005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 193, 381, 559, 721, 861?\n\"Answer: -r**3 + r**2 + 192*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 - 7*n - 5. Let a be l(8). Let u be (-38)\/(-4) - a\/(-6). Sort 1, -5, u in ascending order.\nAnswer: -5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/(sqrt(20)\/sqrt(4)) + sqrt(21)\/sqrt(7)*1 - (5*1*sqrt(6))\/((sqrt(2) - (sqrt(24)\/(sqrt(36)\/sqrt(3)) - sqrt(2))) + sqrt(2)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of -h**4\/6 + h**3\/6 + 2*h**2. List the prime factors of f(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/14)\/(-1*16\/(-112)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225351.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178958.\nAnswer: 2, 13, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(260)\/sqrt(5) + (sqrt(52) - sqrt(52)*-1*6))\/((sqrt(4) + -5*sqrt(400))*5).\nAnswer: -11*sqrt(13)\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -3 - (11 + (0 - 12) + -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -113708 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/6)\/((-8)\/60). Suppose -5*c - w*k = -57 + 7, -4*c = 2*k - 30. Solve 0*f + c = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*y**3 + 21*y - 6*y - 15*y.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -5*w**3 + 11*w**2 + 7*w. Let p(y) = -3*y**3 + 6*y**2 + 4*y. Determine 4*g(k) - 7*p(k).\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 57.0144 + -57. What is b rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 - 20.13. Let p = v + 2.13. Which is the nearest to -0.1?  (a) p  (b) -2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 5:03 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/4 of a second in milliseconds?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 193953, 194068, 194387, 195012, 196045, 197588?\n\"Answer: 17*o**3 - 4*o + 193940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/5  (b) 2  (c) 1  (d) 122273  (e) 1\/4  (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 615, 620, 627, 636, 647?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-24)\/4)\/1)\/8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of -134*p**6\/15 - 80*p**3 + 391*p. Find the second derivative of t(y) wrt y.\nAnswer: -3216*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qlqqllqlqqqqqqlq. What is prob of sequence lllq?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1257845775 by -419281925.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 12*s**3 - 7*s**2 - 7*s - 7. Let n be (-4 - -3)\/((-3)\/(-21)). Let i(o) = 4*o**3 - 2*o**2 - 2*o - 2. What is n*i(w) + 2*u(w)?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -9 - -5 - (-5 + 1). Suppose -13*w - 13 + 52 = b. Suppose -2*s - w*s = -875. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(190) + sqrt(190) + sqrt(190)*1))\/(5*sqrt(10)*1).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -15, 1\/2, 44641, 1, -1\/4.\nAnswer: -15, -1\/4, -0.2, 1\/2, 1, 44641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 37b5 + 1513?\nAnswer: 5108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004672125 rounded to seven decimal places?\nAnswer: -0.0004672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express f**3 + 2*f**2 + 1 + f**2 + 2*f**4 - f**2 + f**3 in the form o*f**4 + h + u*f + q*f**3 + v*f**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 3 i when four letters picked without replacement from ddddddddddddi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d - 7 = 21. Let x = -2.17 + 2.47. Put 5, d, x, 1 in decreasing order.\nAnswer: 5, 1, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**2\/5 - 488*z\/5 - 1888\/5 = 0 for z.\nAnswer: -118, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*o**2 + 4*o**2 - 3*o**2)*(2*o**2 - 6*o**2 + 2*o**2).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - s - 6 = 1, -s - 1 = 0. What is the first derivative of a**3 - 14 + 2*a**3 + 13 - a**d wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 513684448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/254126292 and 13\/7?\nAnswer: 254126292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-66)\/(-297) + (-7)\/(-90).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of -k**4\/4 + 7*k**3\/3 - 2*k**2 - 8*k - 3. Let s be v(6). Let y(t) = -2*t + s*t**3 - t - 3*t + 1 + 7*t + t**2. Determine y(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7553 - 7562. Let p(c) = 5*c**2 + 4*c. Let a(x) = -4*x**2 - 5*x + 1. Let z(g) = 4*a(g) + 3*p(g). What is z(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -75 + 120. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 477\/2 - 256. Find the common denominator of (98\/(-30))\/(4\/(-10)) and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, -2, -83, -7.\nAnswer: -83, -29, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 31 - 322?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1145, 1151, 1171, 1211, 1277?\n\"Answer: j**3 + j**2 - 4*j + 1147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36780159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 391 and 23069.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 2:56 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/((4 + -3)\/(-51)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of -3*u**4\/2 - 139*u**3\/6 + 32*u**2 - 2*u. Let c be b(-4). Solve c*h - 5 = 5*g, g = -2 + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -424 - -2965\/7. What is the second smallest value in -2\/1483, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-5) - 144\/(-40). Suppose 0 = -d + 1, o*t + t - 2*d + 22 = 0. Let z = -2\/79 + -549\/158. Is z > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1019 - 43*o**2 - 1019 + 44*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 110466.6ng?\nAnswer: 110.4666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2636, 5419, 8202?\n\"Answer: 2783*c - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iig when three letters picked without replacement from {g: 1, i: 19}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112 = -22*y - 6*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/2*(-49)\/((-2940)\/(-36))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*x - 52*x = -3*t - 93, x + 7*t = 21. Calculate the remainder when 20156 is divided by x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a. Let d = 7 - 2. Let u be i(d). Let z = u - -15. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.7 + -2. Let x = 969 - 975. Let g = 2.2 - 2.6. What is the nearest to x in u, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 8. Let d(f) = -6*f**3 - 2*f**2 - f + 2. Let l be d(-2). What is the greatest common divisor of l and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-14)\/n**4*n**1*n*n**(-25) assuming n is positive.\nAnswer: n**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -677 = 2*c + 4*x - 15425, -5*c - x + 36852 = 0. Round c to the nearest one hundred.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1\/83 + 88\/415. What is the second smallest value in -0.4, h, 1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-16)\/10)\/(5301\/(-135) - -39). Calculate the greatest common factor of 408 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 179 and 11.\nAnswer: 1969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 276941 is divided by 723.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1304969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -88.1 - -84. Let d = -4 - g. Is d <= -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 2*q - 7 - 6, -2*u - 14 = -4*q. Differentiate 1 + 3 + 1 + u*h**3 - 3 wrt h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 528 and 3123264?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1102124916*p**3 + 413*p**2 - 2*p + 209881 wrt p.\nAnswer: -6612749496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 7}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 43642471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3\/4 + 209*j**2\/4 - 415*j\/4 + 207\/4.\nAnswer: -(j - 207)*(j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18222 and 9111.\nAnswer: 18222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15337 is divided by 593.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 8) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 7*l**3 + 3*l**2 + 12*l - 5. Let h(i) = -i**3 - 2*i**2 - i + 1. Let d(y) = -a(y) - 6*h(y). Calculate d(7).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirty-one fifths of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2332 + 200234?\nAnswer: 203121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 33?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 304552 = 195*i - 29259 - 208679. Calculate the greatest common divisor of i and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, -16 in descending order.\nAnswer: 0, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -10383*w + 749. Is a(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(1584))**2*4 - -4*(0 + sqrt(1584))) + ((2*sqrt(1331))**2 - (sqrt(132) + 2*sqrt(132) - sqrt(132))\/sqrt(12)).\nAnswer: 142*sqrt(11) + 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 375*w = 382*w - 14. What is the units digit of w\/(-5) + (-86460)\/(-150)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -1\/531747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -926, -1832, -2738?\nAnswer: -3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 + 18*m + 3. Let v be j(18). Suppose -440 = -4*t + r + 99, v*t = r + 405. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.89562 + -337?\nAnswer: -340.89562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 41 = -5*a, 3*x - 2*x + 11 = a. Let c be 1\/(-4) + a\/4. Suppose d + 3 = c. Let g(l) = -l + 1. Let q(b) = b**2 - 4*b + 6. Determine d*q(t) + 6*g(t).\nAnswer: -t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -208 - 204 + 4*l + 461. What is the remainder when (2 + 1)\/((-1)\/(-13)) is divided by k(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x = 80 + -78. Solve 2*i + x = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28798 - 28793. Let g(a) = 4*a**2 + 11*a - 1. Let o(i) = i**2 + i. What is n*o(m) - g(m)?\nAnswer: m**2 - 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00097 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 divided by -12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (5 - 3) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 210 and 2119404?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -9. Let c(d) = 2*d**2 - 10*d. Let i(a) = a**3 - 3*a**2 + 11*a. Let p(m) = 3*c(m) + 2*i(m). Let s(y) = y**3 - 3*y. Calculate k*p(n) - 8*s(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -16, -3206, -1 in ascending order.\nAnswer: -3206, -16, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that b**4\/4 + 119*b**3\/4 + 4005*b**2\/4 + 26125*b\/4 - 15125\/2 = 0.\nAnswer: -55, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7202.\nAnswer: 2, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5290.96 + -5291. What is the biggest value in -0.01, 7, g?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34025 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/11151385 and -39\/5453.\nAnswer: 11151385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 332515 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of 145*s**4\/3 - s**3\/3 - 68*s**2 + 14*s + 37. Differentiate o(p) with respect to p.\nAnswer: 1160*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -394, -398, -402, -406?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -917  (b) -2\/11  (c) 14  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(306))\/((sqrt(2) + sqrt(12)\/sqrt(6))*-5)*5.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 550, 4, 3\/4, 16, -2, 2?\nAnswer: 550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -7 from 254415.\nAnswer: 254422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 33 and 16269.\nAnswer: 16269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/(-5))\/((-322)\/(-690)))\/(11\/77)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -38 - -10. Let d = b - -60. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102201220112 (base 3) to base 7.\nAnswer: -1651355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82395488.\nAnswer: 2, 7, 89, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*2*sqrt(57))\/(6*sqrt(12)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w - 935 = 3*w. Let q = w + 99. Let r(s) = -64*s - 2. Let z be r(-2). Calculate the highest common factor of z and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2066.2 from 2.\nAnswer: -2064.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 53 - 37 = 0. Let o(n) = -m*n + 4*n - n - 5*n. Let l(i) = -22*i**2. Calculate l(o(k)).\nAnswer: -792*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 9545097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29000*p**4 + 4*p**3*w**2 + 3303*p*w**2 + 6*p*w + 2*p - 1 wrt p.\nAnswer: -348000*p**2 + 24*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1637927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.332 + -1958.03.\nAnswer: -1957.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u. Let n be y(3). Let p(d) = -d**3 + 41*d**2 + 43*d - 41. Let m be p(42). Solve -q + n = m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -142*o - 192 - 1370 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2\/57739 + -54043694\/288695. Let b = -188 - s. Let n = -9 + 8. What is the smallest value in 1\/4, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1314, -1326, -1354, -1398, -1458?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or 441825761?\nAnswer: 441825761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 30856*b*c**2*x - 9*b*c**2 + 155*b*c + b + 9*c**2 - c*x + 3*x - 1 with respect to x.\nAnswer: 30856*b*c**2 - c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10db915 (base 15) in base 2?\nAnswer: -101110000111001001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 3*d + 16462 = -14102, -5*d - 10170 = k. Let t(s) = -7187*s + 1. Let v be t(1). Let g = v - k. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/52 and -97\/208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(2 + sqrt(153) + 5 + -1 + sqrt(153) - (sqrt(153) + -2*(sqrt(153) + sqrt(153)*1) + (sqrt(153) - (0 + sqrt(153) + sqrt(153))) + -5))*2)**2.\nAnswer: 39600*sqrt(17) + 562900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (104\/(-156))\/(22\/(-6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of -3*t**4\/28 - 3*t**3\/7 + 9*t**2\/7 + 24*t\/7 + 246. Factor j(m).\nAnswer: -3*(m - 2)*(m + 1)*(m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 34\/(-9) - (-12)\/(-54). Suppose 2*x + 8 + 8 = 0. Let q = a - x. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8557 + -5546. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5365, -10731, -16097?\nAnswer: -21463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 81\/176 and (-250)\/(-5544) + 145\/2610.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u**3 + 2*u - 30*u**4 + 24*u**4 + 82 + 7*u**4 to l*u**4 + t*u**2 + q*u + n + i*u**3 and give n.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2244950 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*78\/(-3) - 4. Suppose 0 = 4*p + 2*l + m, -4*p - 28 = 5*l + 9. Let v be (-2)\/(p\/((-36)\/(-8))). What is the greatest common divisor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2164346 minus -5?\nAnswer: -2164341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 2 + 8)*(-4*z**2 + 6*z**2 + 2*z**2) to r*z + c*z**2 + m and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - -110110011000010?\nAnswer: 110110010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/7, -2, 155259?\nAnswer: 155259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -377*v + 696. Determine c(2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -24  (b) -0.12  (c) -3  (d) 3  (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -188 + -32408580?\nAnswer: -32408768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -5*-1.75\nAnswer: 8.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - 10*d**2 + 2*d + 19. Determine i(10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3, -3\/5, -3, 2\/13, -50600, -0.074?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 155?  (a) -1  (b) 4  (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 181319, 181313, 181307, 181301?\n\"Answer: -6*q + 181325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b**2 - 14*b + 15. What is q(6)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 - 35*n - 46. Let c(l) = 15*l**2 + 490*l + 645. Let h(s) = -4*c(s) - 55*z(s). Factor h(y).\nAnswer: -5*(y + 2)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36533*a + 146125*a - 36534*a + 3*a**2 - 36525*a - 36533*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h**4 - h**4 + 5*h**4 + (3 - 3 + 2*h)*(h**3 - h + h) + 2*h**4 + h**4 - h**4 - h**3 + 3*h**4 + h**3 + (3*h - 2*h**3 - 3*h)*(2*h + h + 0*h).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the first derivative of -r**4\/4 + 11*r**3\/3 - 11*r**2\/2 + 14*r - 5. What is the units digit of a(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9823\/14 + 699. What is the common denominator of (62\/6)\/(16\/9) and x?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (16\/48)\/((-2)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1059.3 and -0.409.\nAnswer: -433.2537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -85\/84 - 5\/21. Let z be 1*(22\/9 - 2). Suppose 0*p - 5*p = 0. Which is the closest to p?  (a) s  (b) z  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1274*g**2 + 60*g - 171*g + 111*g to the form m*g + d*g**2 + c and give d.\nAnswer: -1274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (1712\/248 - 11) + (252\/62 - (-304)\/(-4712))\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 414 = 229*p - 2105 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 24*a + 2. List the prime factors of i(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-6) - 2122\/(-6). Suppose -4*p - 5*r + 68 = 0, -56 = -5*p - 241*r + 242*r. Suppose -p*t + 415 + m = 0. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 0. Let j(s) = s**3 - 25*s**2 + 65*s + 26. Let t be j(22). Solve -n*b = t*c + b + 16, -c = -b - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 891202 and 740701?\nAnswer: 2951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -23.7?  (a) -0.4  (b) 1\/4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-21)*(4 + -2). Let z = 11 - 16. Which is the closest to q?  (a) 3  (b) 5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*q = 8*q - 95 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 3820218 to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10.63 - -12.63. Let o = 8 + -13. Which is the smallest value?  (a) o  (b) -36  (c) t  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1838 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -272*i**4 + 2*i**2 + 5 wrt i?\nAnswer: -6528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**(21\/5))\/u)\/(u*u\/(u**(-17\/2)*u)))\/(u**15*u**4) assuming u is positive.\nAnswer: u**(-327\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-3)\/2)*(-10)\/20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b**2 + 11*b - 23. Give s(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - 5732b6?\nAnswer: -5732b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 1 = -2*k. Let o(b) = 3*b - 1. Let n be o(k). Suppose 135 = 3*f + n*m, 2*f - 47 = 4*m + 59. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 368.3848l?\nAnswer: 368384.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -9*r**2 - 51. Let t(o) = -33*o**2 + 7. Let h(n) = -5*n**2 + 1. Let a(k) = 28*h(k) - 4*t(k). Calculate z(a(f)).\nAnswer: -576*f**4 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9777?\nAnswer: 3, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000580762 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, b: 2, i: 12}. What is prob of sequence bi?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -103 - -3 - (5621 + -5685)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 14 + (2 - 21) - (2 + 4)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 5*p + 91 = 163, -5*u - 5*p = -90. Calculate the remainder when 969 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of 0*p**4 + 2\/3*p + 0*p**2 + 1 - 4\/9*p**3 + 2\/15*p**5. Determine x, given that u(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -479, -619, -857, -1199, -1651, -2219, -2909, -3727?\n\"Answer: -m**3 - 43*m**2 - 4*m - 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-35)\/(-21) - (-10)\/(-30). Let g be ((-1)\/(-4))\/((-5)\/4). Which is smaller: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1124410 - 2121?\nAnswer: -1132031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -x**7\/21 + x**4\/12 - 3*x. What is the third derivative of i(m) wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9686570 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/33)\/(0 + -1). Let r = -0.01 + -0.49. Let t = 0.4 + r. Which is the third smallest value?  (a) -2  (b) n  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 285 divide 1029686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**4 + 0*f**4 - 4*f**4)*(-129 - 123 - 125 - 426*f + 377).\nAnswer: 1704*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-82 + 82 + 14*o)*(-25 + 7 + 10)*(76 - 53 - 36) as x*o + p and give x.\nAnswer: 1456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 + -1842.\nAnswer: -1842.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -6030000 to the nearest 100000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -66  (b) -912\/13  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of -k**8\/40320 + k**7\/20160 + k**5\/60 - 3*k**2. Let u(s) be the third derivative of z(s). Determine o, given that u(o) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + (-2)\/(14\/(-35)). Suppose o*y + 5446 = -a + 2*a, 5*a - 2*y = 27345. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 + 16*a**2 - 6*a + 15. Let d be u(-16). Let g = d + -110. Let w = -67 + 334\/5. Which is greater: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/14*(((-21)\/(-2) - 7) + -1).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 5*l = -0*w + 50, 2*w + 2*l = 8. Let s = 7 + w. Let f(r) = 41*r - 1. What is the remainder when f(1) is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*t = -3*o - 16*t + 669, 4*t = -3*o + 668. Is o a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 128*l - 18*l**3 - 128*l - l**2 - 19*l**2 + 11*l**3 + 19*l**2 + (3*l**2 + 2*l**2 - 3*l**2)*(4 - 4 - l) as y*l + k*l**3 + x*l**2 + i and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -170 - -242. Let m be 2 + 1*-2 + 0. Suppose 7*z - 4*z - 27 = m. Calculate the highest common factor of z and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 2*l = 641 - 621, -l = 3*a - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 523699, 523688, 523677, 523666, 523655?\nAnswer: 523644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of -19*p**2\/2 + 1. Let f(w) be the third derivative of -w**5\/30 - 2*w**2 + 2. Give b(f(t)).\nAnswer: 38*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(2448) - 4*sqrt(2448)*3 - sqrt(2448) - sqrt(2448)) + sqrt(2448)))**2.\nAnswer: 8812800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35, 62, 89, 116, 143?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 811 in -2, 3, -4, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 (base 15) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5082 is divided by 77.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90 = -5*l + 5*l - 10*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from tttttsstt.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c + 17. Let a(s) = -1. Let y(v) = 4*a(v) + o(v). Let d = 4 + -4. Is y(d) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 4*s = 14, -497*s + 494*s + 0 = 2*x - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v - 2*l + 230, 4*v - 2*l - 217 = 3*l. Suppose y + 24 = v. Suppose -151 = -q - y. What are the prime factors of q?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -51*n + 20. Calculate j(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3333 is divided by 257.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -189 + 1159\/6. What is the common denominator of 47\/24 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 71 + -18. What is the remainder when d is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-1)\/(-3))\/((-2)\/(-3)))\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-245)\/(-50)*68\/(-119))\/((-36)\/45)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 90*p + 3 = 87*p, -6*k - 10 = 10*p - 2*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + 1. What is the highest common factor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jrjr when four letters picked without replacement from {r: 7, j: 2, u: 11}.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 - 19) + (1 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 257, 699, 1327, 2141?\n\"Answer: 93*g**2 + 163*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 - 23*x**2 + x + 10232. List the prime factors of u(0).\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*s + z + 11, 5*s + z - 9 = 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3339123.973177 + 750408.2268. Let s = -4089536 + g. Let x = s - -3.8. Round x to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -6691.\nAnswer: -1338.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 4*x - 4. Let p(q) = -q**3 + q**2 - q - 1. Let g be p(-1). Find the second derivative of 0*s**g + 0*s + 0*s**2 - x*s**4 + 2*s wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 2\/311, -322, -14, -2\/3?\nAnswer: 2\/311","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1276 + 2347 = -119*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-12)*-6*(-1)\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -99, -426, -977, -1752, -2751, -3974?\n\"Answer: -112*h**2 + 9*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -1523 - 1506 + 2*f + 3058. What is q(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (0\/(-10) - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 2*p**5 + 12*p**4 - 354*p**3 - 772*p**2 + 6792*p - 7920 = 0.\nAnswer: -15, -6, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 - 0)*-82*(-4)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -5, -56, 69, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23731 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 29 + 16. Let h = 29 + k. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 236 + -239 + -5 + -33\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 371, 326, 281, 236, 191, 146?\n\"Answer: -45*n + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 13, h: 6}. What is prob of sequence hl?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t - 10*t + 381 = 0. Suppose 3*l = t + 483. Calculate the highest common divisor of l and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147*l - 152*l + 16686 = -8629. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4679\/4, -0.5, -2\/17, -0.1 in ascending order.\nAnswer: -4679\/4, -0.5, -2\/17, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 83701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40, 30, 18, 4, -12, -30, -50?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + 3*s + 0*s)*((-s + 4*s - 2*s)*(3 - 3 + 2) + 2*s - 4 + 4 - 19 - 66*s + 38*s + 20*s).\nAnswer: -12*s**2 - 57*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 111*(-390)\/(-2886)*5.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 6 = -3*w, -g - 4*w + 6 + 9 = 0. Let m be (-1 - -4 - 8)\/(-2) - 2\/4. Solve -4*k + 5 = g*y - 0*y, 0 = -4*y - 3*k + m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqqqqqqqqqqqqqqpqp. What is prob of picking 2 q and 1 p?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 17.114 to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 AM and 1:07 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 48*g - 322*g + 5754 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g = 133 - 149. Let o(y) = -y**2 - 8*y - 4. Suppose 4 = d + d, -3*a = 2*d + 20. Let s be o(a). Put 1, s, g in descending order.\nAnswer: g, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*h = -29*h + 144. Let u be (10\/4)\/(1\/(-8)). Let d = h - u. Solve 6*p - 5*y = d*p + 26, 35 = 5*p - 5*y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -10*t - 1. Let m be ((-2)\/(-2))\/((-2)\/10). Is k(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that q**2 + 5909*q + 711678 = 0.\nAnswer: -5786, -123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 - 2*w**2 - 2*w. Let i be h(3). Let m = i + 0. Do m and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9120 + 9229. Calculate the remainder when a is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by -991\nAnswer: 8\/991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(38)\/(sqrt(24)\/sqrt(768)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand d + 2 - 2 + (7 - 2 + 2)*(d - 9 + 9) - d + 3*d - d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-39)\/(-6) - 3 - 3)*48\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 9*y - 94. What is t(38)?\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -6. Suppose -4*x = -w*x. Which is the nearest to -2\/5?  (a) 0.3  (b) 0.1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1925035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 0. Let c be (-1)\/p - 0\/2. What is the units digit of ((-6)\/(-15))\/(c\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14555, 29121, 43681, 58235, 72783, 87325?\nAnswer: 101861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1a9848 (base 11) to base 16\nAnswer: -4e3cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 36\/(-3)*-1*((-16)\/4)\/(-16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 34609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23238, 50800, 78374, 105966, 133582, 161228, 188910, 216634?\nAnswer: 244406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(3\/7)\/k)\/((k*k\/((k\/(k**4*k*k))\/k))\/k)*(k**(2\/3))**(-28\/5) assuming k is positive.\nAnswer: k**(-1187\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/18)\/(416\/(-4680))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -142, -162, -184, -208, -234, -262?\n\"Answer: -m**2 - 17*m - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/(-48)*-6*(-8)\/(-11844)*112\/(-8)?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = -5*s + 5, 5*s + 20 = 13*h - 11*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2\/323 + -10310\/4199. Which is smaller: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 687\/(-69) + (10 - 0). What is the nearest to 0.2 in g, 0.2, -2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 123130203 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6*1\/9*3. Suppose 5*o = -3 - b. Is 2 + (-1)\/o + 110 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 * 0.13801\nAnswer: 0.96607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35441, -70876, -106311, -141746?\nAnswer: -177181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + j - 16. Let y be 18\/j*736\/(-12). Suppose 6*f - 144 - y = 0. What is the remainder when f is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*x + 2044 - 1540 = 0 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4346825428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8827159*h**3 - 17*h**2 + 62059*h?\nAnswer: 52962954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.114 + -4.886. Is i < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -32*b**2 - 30. Let s(d) = 17*d**2. What is z(s(j))?\nAnswer: -9248*j**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/3*((-6)\/6)\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2257 by 610.\nAnswer: -37\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/1670 and 109\/14?\nAnswer: 11690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3920 and 1372.\nAnswer: 27440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.6 in 116\/3, -1636, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 1\/4  (b) 0  (c) 1\/4014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, c: 4, t: 4, s: 1, q: 1}. What is prob of picking 1 s and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2434)\/(-30) + 18\/(-135). Let u be (6\/(-9))\/((-6)\/h). Solve 0 = -6*q + 9*q + u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9758 + -5314. Let v(i) = 2217*i**2 + 2226*i**2 - a*i**2. Let r(w) = 128*w**2. Calculate v(r(s)).\nAnswer: -16384*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 70 + -67. Solve -3*h = -f + 11, f - w = -0*h + h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96*l**2 + 155*l**2 + 3*l**2 + 38*l**2 + 25*l**2.\nAnswer: 317*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 4*j. Let k(r) be the first derivative of 5*r**3\/6 - 4*r - 4. Let b(c) be the first derivative of k(c). Determine b(z(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10994 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*o + 56*o - 245 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*v + 2 = -30*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 106*j - 105*j - 31 = 0, 0*d = -3*d - 825*j + 12387 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/9)\/(1 - 104\/48)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/12)\/((-2)\/(-30)). Suppose u*q + j - 13 = -2*j, -6 = -q - 4*j. Find the third derivative of -3*w**3 + 2*w**2 + 4*w**2 - 3*w**q wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25312 (base 10) in base 12?\nAnswer: 12794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 8633, 8636, 8639, 8642, 8645, 8648?\n\"Answer: 3*w + 8630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0+872\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 0 + (0 - -1 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + ((3 - 40) + 38 - (-23 - -1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1265385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/((704\/2376)\/((-4)\/(-18))*(-45)\/(-40))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -7*h + 33. Let r(q) = 2*q - 12. Let j(b) = -11*r(b) - 4*s(b). Let x(n) = 31*n**2. Determine j(x(g)).\nAnswer: 186*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5\/2  (b) 1  (c) 112  (d) -215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 549 and -586053.\nAnswer: -321743097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tftrgrtwtttgrw. Give prob of sequence gtfg.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -u**2 + 1974*u - 1974*u + 2*u**3 - 229*u**4 + 28 + 209*u**4 in the form o*u**2 + w*u**4 + d + a*u**3 + f*u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1282420 and 4?\nAnswer: -5129680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 - 10 = -3*q - 4*y, 2*q - 9 = 3*y. Let w(i) = -2 - q*i + 1 - 4 + 5*i. Let d(j) = 8*j + 6. What is -5*d(h) - 6*w(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 202813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -137 = -16*z + 232 + 143. What is the lowest common multiple of z and 3248?\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*p = -0*p + 130200000. Round p to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 + 9 = 5*r + 4*y, 0 = r - y + 14. Is r >= -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -6*z**2 + 4*z + 4. Suppose -o + 3 = -4*o. Let n(p) = p**2 - 7*p - 7. Let a(f) = f + 1. Let u(i) = 6*a(i) + n(i). Calculate o*d(v) - 4*u(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222*b - 467 - 421 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 2 = -2*z. Let y = -41054 - -41054. Which is the nearest to 2\/5?  (a) y  (b) -5\/3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5035 a factor of 305037950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 908 + -364. What is the highest common divisor of 204 and v?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**2\/d)\/(d\/d**(15\/8)))**9)**(3\/11) assuming d is positive.\nAnswer: d**(621\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1906 or -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3204 - -3204.5. Sort -4\/7, 1\/5, v in increasing order.\nAnswer: -4\/7, 1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -308.442 rounded to 0 decimal places?\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f - 3. Let n be h(3). Let l be 151\/n - 6\/18. Let r be l\/15 + 2\/3. Solve -i - 8 = -d, 0*i + d = -3*i - r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*w - 3*w + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4601561 is divided by 1047?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -330, -334, -340, -348, -358?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-1*sqrt(5616))\/(2*sqrt(27)\/(sqrt(36)\/sqrt(4))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of -8*j**6\/15 - 2*j**2 + 5*j - 14. Let c(b) be the first derivative of i(b). What is the first derivative of c(q) wrt q?\nAnswer: -64*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + 4 + 0 + sqrt(72) + sqrt(72))) + 2)**2.\nAnswer: 48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58781 = -6*r + 50257. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*y - 4302 = 9*y + 6*d, -5*d = -15. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3396, -3365, -3336, -3309, -3284, -3261, -3240?\n\"Answer: -f**2 + 34*f - 3429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 767 + -771. Put o, 4\/7, 0.9 in decreasing order.\nAnswer: 0.9, 4\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/136680 and 71\/5385192?\nAnswer: 26925960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 + -14)*(-2 - 5920\/15). Suppose 21*k - 7*k - z = 0. List the prime factors of k.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -154*h + 87791983 = 31*h - 46*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*j + 2040 = 5*m + 19*j, 0 = 3*m + j - 1223. Solve 11*y + 439 = m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4498 - -4531. Put 1\/5, m, 2 in descending order.\nAnswer: m, 2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((2\/(-11))\/(-1))\/(9\/99). Let d(p) = -p + 512 + q*p + p**3 - 511 - p**2. Let o(h) = 5*h**2 - 5*h - 5. Determine 5*d(v) + o(v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -34329*x - 568201.\nAnswer: -34329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + 3. Let b be (3 - -3)*(-1)\/(-3). Suppose q - b*q = -19. Solve -5*t + 3 = 2*m - q, -t - 5*m = -u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - 3. Suppose -5*v + 7*n = s*n - 70, -n = -2*v + 28. Suppose -34 = -5*f - v. Solve -f*h + 0*h + 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -5*r**3 + 6*r**3 + r**2 - 2*r**3 + 2*r**3 + 12. Let q be s(0). Suppose 0 = 5*o - 77 + q. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4813572*w**2 + 16232016*w - 2.\nAnswer: -9627144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**4\/8 + 11*n**3\/4 + 23*n**2\/8 - n - 3\/2.\nAnswer: (n + 1)**2*(n + 6)*(3*n - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 77*(8\/(-8))\/(98\/(-21))*-4.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + -121 - (-669383)\/6435.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 8. Let b be -1*(-1 - (1 - -1)). Let y(v) = v - 3. Let u be y(b). Put -5, h, u in decreasing order.\nAnswer: h, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12756861 and 12228?\nAnswer: 3057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(208)\/sqrt(4)*5)\/(sqrt(16)\/sqrt(4)*-1) + 5 + -5.\nAnswer: -5*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 4*b**2 - 72*b + 320 = 0.\nAnswer: 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -168*r**4 - 580*r - 635. Differentiate b(x) with respect to x.\nAnswer: -2016*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1201, 3961, 8551, 14965, 23197, 33241, 45091?\nAnswer: 58741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - 0)\/(5 + -6). Suppose a = d - 49, i = -2*a - 0*a + 6. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 247*k - 248*k + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 55*t**2 + 34098*t**4 + t - 34099*t**4 + 20 - 14 - 2*t**3 as j*t**3 + p*t + o + r*t**4 + s*t**2 and give s.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 14072.75 weeks in minutes?\nAnswer: 141853320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*k + 1586 = 14*k - 17*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**2 + 6*n - 9. Let d be b(3). Suppose -3*o = -0*o - 5*a - 50, d = o + 5*a + 10. Let y be 34\/o - 4\/10. Is 21\/5 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.4, -0.2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -25769, -25903, -26127, -26441, -26845?\n\"Answer: -45*n**2 + n - 25725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 10 = 2*q - 4*q, 4*q + 4 = 0. Suppose -5*k + 3*y = 0, -4*y + a = -k - 11. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*c = -24, -k - 2*k - 2*c = -42. Suppose -k*y = -7*y. Let g be (y - -1) + (-5 - -5). Solve -d = g - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29917 - 17963. List the prime factors of u.\nAnswer: 2, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -614435*h**2. Let m(k) = 2*k. Give q(m(u)).\nAnswer: -2457740*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 4*h = -6, -h - 4*h - 5 = 0. Let z be (-3)\/6*-4 - -3. Which is the second biggest value?  (a) -2\/13  (b) z  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 53811, 107615, 161405, 215175, 268919, 322631?\n\"Answer: -n**3 - n**2 + 53814*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 942 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 29ca6 (base 13) in base 2?\nAnswer: 10011010011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 4*k + 6*z - 14, 5*z = -4*k + 22. Suppose 0 = -b - 4*u + 26, -47*u + 64 = 2*b - 51*u. Is b bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1070114 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -179 + 532. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-35))\/((-5)\/(-7)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*l + 62*l - 5*l**2 + 93*l**2 - 1.\nAnswer: 88*l**2 + 109*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (58 - (5 - 0 - ((-5 - 4) + 11))) + -1?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5 + (10 - (-8 - -8)))*316\/10. Put c, 4, -2 in ascending order.\nAnswer: -2, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-17118)\/(-63)*2\/3. Which is bigger: -0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 + 0)*(88 + 647*k + 79 - 167 + 4538*k).\nAnswer: -31110*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 17782 + 737 = 0. Suppose -853 - b = -3*j. Suppose r + 4 = 0, -5*l + l - 5*r = -j. Calculate the greatest common factor of 31 and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.4 - -2.04. Let h = -0.6 + r. Let p = h + -0.04. Which is the closest to 1\/2?  (a) -0.3  (b) p  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 328 = -3*b - 10*b + 133 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 42986 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 294909978*p**3 + 2756645*p + 100 wrt p?\nAnswer: 1769459868*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*q**3 - 64*q**3 + 138*q**3 - 70*q**3 + 55*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1\/(-14))\/(7\/(-14)). Let t = 204 - 209. Which is the closest to t?  (a) -2\/19  (b) -3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - 0) + (-4 - -3 - -4). Find p, given that d*p - 7*p**2 - 9*p + 7*p = 0.\nAnswer: 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 198 + -110. Let r = u - 56. What is the highest common factor of r and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 51, 108, 167, 228, 291?\n\"Answer: y**2 + 54*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.9587937139 + 0.9588. What is v rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the third derivative of 3\/7*u**3 + 1\/210*u**5 + 12*u**2 + 0 - 1\/14*u**4 + 0*u. Determine h so that c(h) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m. Let d(w) be the first derivative of -19*w**3\/3 + 10. Calculate d(f(h)).\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -397, -384, -373, -364, -357, -352, -349?\n\"Answer: -h**2 + 16*h - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f - 4*f + 169 + 938*f**2 - 936*f**2 - 4*f.\nAnswer: 2*f**2 - 5*f + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1981 and 119709?\nAnswer: 837963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-6)*(-18)\/12. Let m be -1 - (2 - (-2 + s)). Let w(v) = v - 10. Let q be w(8). Sort 6, m, q in decreasing order.\nAnswer: 6, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k**2 + 230*k - 116*k - 121*k to the form p*k + d*k**2 + q and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3.608314t?\nAnswer: 3608314000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2105 - -1153?\nAnswer: 3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124231.\nAnswer: 124231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -24. Let t be 44\/6*u\/4. Suppose 0 = -9*b + 8*b + t. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14019481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 160\/1640*451\/22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -63 - -60. Let i be 1*d\/(-12)*0. Solve i = -l - 2*v, 4*v + 7 = -5*l + 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {i: 7, a: 9, h: 2}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 + 13*x + 96. Give q(17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 471 and 56?\nAnswer: 26376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -146460171 divided by -13\nAnswer: 11266167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -2 + 0*z**3 + 0*z**4 + 0*z - 4\/5*z**5 + 1\/2*z**2. Find the second derivative of r(b) wrt b.\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sbb when three letters picked without replacement from bbbbbsbbbbbbb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/2)\/((-9)\/(-2136)*4). Let k be ((-5)\/(-3))\/((-1)\/18). Let d = k + y. Is d smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 3*o - 56 = 5*w, 0 = -3*o + 5*w + 74. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1157*f**3 + 2*f**4 - 145*f + 144*f - 756 - 1155*f**3 to i*f + b*f**4 + p*f**3 + q + z*f**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36 - -106\/3. What is the second biggest value in -4\/7, y, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-74)\/(-4) + 21\/14. Suppose q = -3*g + 5, -q + g - 5*g + 6 = 0. Solve 4 = a + y, -3*y - q*y = -3*a - w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7363 - 7363 - 12*h**3)*(2 + 4 - 3 + (0 + 0 + 2)*(-1 - 2 + 5) + 1 + 2 - 1).\nAnswer: -108*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 265501 or 265551?\nAnswer: 265501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 18. Suppose 20 = g*l - 4*d, -4*l - 12 = -7*l + 5*d. Let b = -229 - -225. What is the biggest value in l, -7, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 + 30*w + 76. Let n be z(-27). What is the smallest common multiple of 6\/n*(-3230)\/102 and 14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (8\/12)\/(0 - 1 - 0). Which is the third smallest value?  (a) 16  (b) 0.3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10112 + -10?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -9390386 less than or equal to -9390386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 7:17 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 13717.1 * 0.3943\nAnswer: 5408.65253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) -1\/8  (c) -3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of -s**3\/3 + 17*s**2\/2 - 5*s. Let b be g(10). Let x = -0.08 - 2.92. What is the nearest to x in 3\/2, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -11 + 71. Let q be 1\/4*r\/3. Solve 5*p = -4 - q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.43 - 1.57. Put 4, 4\/5, 0.2, f in descending order.\nAnswer: 4, 4\/5, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52\/5 of a micrometer in nanometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*d + 12*t - 50*t + 63, -3*d + 26*t - 15 = 30*t - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 4*c**3 - 3*c**2 + 2*c - 1. Suppose 2*d - 70 = 2*r - r, -3*r - 214 = -2*d. What is the remainder when i(2) is divided by 162\/r*32\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1274 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, l: 5, g: 4, c: 4, t: 1}. Give prob of sequence jg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(68)\/sqrt(4) - (sqrt(85)\/(sqrt(5)*-3 - sqrt(5)))**2.\nAnswer: -17\/16 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 18, 30, 52, 90, 150, 238, 360, 522?\n\"Answer: u**3 - u**2 + 8*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 2:08 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -145\/936 and 73\/520.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/3013788 and -13\/5.\nAnswer: 15068940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 896 = 31*m - 15*m. Find the first derivative of -56*h**3 + 5*h**2 + m + 60*h**3 + 19 wrt h.\nAnswer: 12*h**2 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j + 2. Let z(g) = -g**2 - g - 1. Let w(a) = 4*a**2 + 3*a + 10. Let c(s) = w(s) + 5*z(s). Let f be c(-4). Calculate p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 2*c**2 - 11*c - 3. Let d be u(6). Suppose -f + 64 = -d*z, 3*f - f = -2*z + 160. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -242 + 249. Solve 0 = -p + 4*z - q - 12, 3*p + 4*z - 23 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82 + 1 + 13*q - 114.\nAnswer: 13*q - 195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.2 - -0.200052. What is y rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -27 in -7, 16, 1\/2, 2\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - -1*sqrt(117)*-3))\/(sqrt(9) - ((sqrt(441)*1 - sqrt(441)) + sqrt(441))))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/10 and 79\/288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-19)\/(133\/42)*1)\/((-2)\/(-3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 317 divided by 7\nAnswer: 317\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2728422.\nAnswer: 2, 3, 151579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183 = 30*l + 31 - 4 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (0 - -15)\/(2 + -1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -11 + -158a?\nAnswer: -15a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 165 + -162. Let s(n) = 3*n + 2*n - 6*n + i*n. Let b(q) = -1. Let d(w) = -10*w - 6. Let a(p) = 12*b(p) - 2*d(p). Calculate a(s(c)).\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -232177.43 less than 3?\nAnswer: 232180.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*x - k, -312*x - k = -315*x + 16. Put -7, x, -5, -1 in ascending order.\nAnswer: -7, -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/1659024 and -37\/2488536.\nAnswer: 4977072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1140 and 960.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 47*r**3 + 3*r**2 + 4*r + 10. Suppose 7*n - 40 = 2. Let k be (-15*(-2)\/(-9))\/(4\/n). Let o be v(k). What is o rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-7)\/(-14) - 43\/(-2). Let i(k) = u*k + 5 - 7 - 6*k - 4. Does 17 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85206 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 2  (b) -55  (c) -3  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 344 - 1*(4 - 12) is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 5:16 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + v = -o - 163, -o + 27 = -3*v. Let s = o - 39. Let k(t) = t**3 - 11*t**2 - t + 26. Let i be k(11). Solve 0 = s*n - i, -2*m + 3*m + 4*n = 21 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, e: 1, m: 1}. What is prob of sequence ev?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 + 6*q**2 + 6*q - 6. Let d be m(-4). Suppose -5*v - d*j = -6 - 2539, -5*j - 25 = 0. List the prime factors of v.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 7 = -5. Let n be v - (4 + -1) - -13. Suppose 8*s - 4*s = n. Sort 2, -2, -1, s in increasing order.\nAnswer: -2, -1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/(-3))\/(3\/18))\/(48*(-29)\/2784).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -260*f + 290 + 2310 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*s + 5 - 5)*(-5 + 0 + 1)*(-4 + 3 - 1) to j + d*s and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.262 + 5.32909. Round z to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 27*f**2. Let a(h) = -13*h - 15217. Calculate a(g(y)).\nAnswer: -351*y**2 - 15217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 3*q + 8 = 0, 9 = 5*p - q - 11. Suppose m = b - 3*b - 7, p = -3*b + 5*m. What is the units digit of b\/(1\/8*-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/18 and 61\/368.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/19?  (a) 2\/13  (b) 0.1  (c) 1  (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -221*u + 20*u = 107*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 116.87 + -116.86. What is the closest to -3 in 0.27, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g - 41. Let u be d(-21). Let y be (1 - 1)*u\/2. Suppose y = 5*a - 2*m - 10267, 13*a - 5*m - 4111 = 11*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - c?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -4*z. Suppose -10 = 2*f - 4*x, 4*f - x - 1 - 7 = z. Suppose 2*o = -6*o + 3*o. Which is smaller: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 8 - 5)*(-3 - 19 + 6)*(0 + o**2 + 0).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -82\/104801529 and -73\/33?\nAnswer: 1152816819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 25\/(-9) - -3 - 1186\/(-9). Let l = f - -91. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*c**3 - 4*c + 135*c**3 - 89*c**3 - 13*c**3 - 14*c**3 - 21*c**4 in the form f*c**3 + a + m*c**4 + k*c + t*c**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 14*w**3 - 4*w**2 + 6*w - 21. What is the ten thousands digit of r(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14.71 + 0.29. Let n = -10 + h. Put -0.1, -0.2, n in decreasing order.\nAnswer: n, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -978, -1859, -2634, -3303, -3866?\nAnswer: -4323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 140*f**2 - 269*f**2 + 19*f**3 - 29*f**3 + 62 + 130*f**2.\nAnswer: -10*f**3 + f**2 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -332 less than -213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1533 or -795?\nAnswer: -1533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 423939*y + 15688 = 424151*y for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 90498344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 - 4*l**2 - 5*l + 5. Let p be c(5). Let j(n) = n**2 - n - 5. Let u be j(p). Solve 5*h - 2*h - u = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of 0 - 7\/12*b**4 - 3*b - 3*b**2 + 7\/6*b**3 + 1\/20*b**5. What is f(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 4*k**2 + k - 15. Let y be b(2). Let j(h) = -h + 15. Let s be j(0). Suppose -195 - s = -y*z. Calculate the greatest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwttwwwwtwttwwww. Give prob of picking 3 w.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t - 1. Let w be l(2). Suppose -3*p - 3*u = -4*u - 25, w*u + 30 = 4*p. Let n(b) = b**3 - 10*b**2 + 14*b - 11. Let i be n(p). Is i != 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, -16, 2 in increasing order.\nAnswer: -16, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 6*i = -76. What is the greatest common factor of 38 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + 3867?\nAnswer: 3864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 + 76*u**2 - 82*u - 455. What is j(-77)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p\/(p*p**(-2\/11)*p)*(p**(2\/47)*p*p)\/p*(p**(-38))**(-1\/24) assuming p is positive.\nAnswer: p**(17419\/6204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-10)*x)\/x**(-5)*x**(2\/11)\/(x**(-4\/11)*x) assuming x is positive.\nAnswer: x**(-49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, 1, 7, 15, 25?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 7*t - 9*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 315*s**2. Let g(v) = -3*v. What is p(g(u))?\nAnswer: 2835*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**2\/5 + 25834*l\/5 - 25868724\/5 = 0. Calculate l.\nAnswer: 1094, 11823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 490\/97 + -333437\/68676. Let t be 24\/177*(3 + -2 + 8). Let i = l + t. Calculate the common denominator of -131\/18 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 - 3*n**2 - 3*n - n**2 - 5 + 1 + n**2. Is i(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22210 (base 3) in base 12?\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**0)\/y)**43*(y**(-1\/2)\/y)\/(y\/(y**0\/y*y)*y) assuming y is positive.\nAnswer: y**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -13 divided by -4\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 (base 10) in base 15?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.086 + 2.034. Let x = -0.12 + v. Which is the nearest to -2\/3?  (a) 1\/5  (b) -2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 1.96. Let q = -4.96 - p. Let i = q - -4. Which is the closest to -1?  (a) -0.2  (b) i  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 - 14*g + 21. Let c be y(-15). Suppose -c*u = 17 - 59. What is the remainder when 3*1*19\/3 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -18*o - 16. Let q be y(-7). Suppose -s = -3*i + q, 6*i + 2*s - 104 = 3*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*a + 2825 = 201*a + 5816 + 6081 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(325) + -3 + sqrt(65)\/(sqrt(405)\/sqrt(9)))*-5.\nAnswer: -80*sqrt(13)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -0.8, 0.2, 0.1744, -3 in ascending order.\nAnswer: -3, -0.8, 0.1744, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b*b*b**8))\/b*(b**9\/b)\/b)\/(b**(-9)\/(b\/(b*b**(-1\/3)))))**(-14\/5) assuming b is positive.\nAnswer: b**(-266\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 25.4835 * 116\nAnswer: 2956.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 95 in 1\/6, 2, 685?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1358*u**5 - 29*u**3 - 1340*u**2 - u - 13?\nAnswer: 81480*u**2 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {x: 3, h: 12, j: 3}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12070 by 71.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 720\/(-225)*20\/150*-10*-15?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 228.021 - 0.021. Let s = z - 233. What is the third biggest value in -3\/2, s, 4, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of 27*d**4\/8 + 73*d**3\/2 - 6*d**2 - 1. What is the derivative of j(f) wrt f?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v**(-1\/3)*v)\/(v**7\/v))\/((v\/v**(-2\/21))\/v**(-2)))\/((v**2*v*v*v**2*v)\/(v\/v**1)**4) assuming v is positive.\nAnswer: v**(-101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, 22, 18, 10, -2, -18, -38?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 7*h - 8. Let j(u) = 2*u**2 - u - 1. Let d be j(h). Let q(t) = -t**2 - 5 + d. Let b(m) = -m. Give q(b(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -291496, -582989, -874482, -1165975?\nAnswer: -1457468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l + 5. Let q be 14\/(-14)*4\/(-2). Suppose 3*i = -23 + q. What is y(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 - 35 - (0 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2112001 - 0?\nAnswer: -2112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4635\/(-4120) - (-14)\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 12:13 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 16 + 109*f - 223*f + 109*f in the form y*f + i and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/4 and 83\/5870?\nAnswer: 11740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of -v**4\/24 + 23*v**3\/6 + 34*v**2. Let d be z(8). What is the derivative of -7*m**2 - 7*m**2 + 0*m**2 - d - 13*m**2 wrt m?\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -353477*b**2 + 22*b + 1653?\nAnswer: -706954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*k + 14 = -166. Let x = k + 19. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (137 - 168) + 1535\/50?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*s + 23*s - 11*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 221201212222211 + -1120?\nAnswer: 221201212221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*d*i**4 - 49*d*i**2*t + 108*i**4 + 4*i**3*t + 9*i**2*t - 3*t wrt i?\nAnswer: 96*d*i + 2592*i + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -x. Let d = x + 2. Find the second derivative of -2*j**d - 15 + 15 + j wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**4\/6 + 226*x**3\/3 - 737*x**2\/2 - 1788*x = 0?\nAnswer: -3, 0, 8, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 - 1156*a - 50172. Determine c(-42).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 - j + 1. Let p(n) = -5*n**3 - 6*n**2 - 14*n + 9. Let r(t) = -p(t) + 6*x(t). Let g be r(7). Solve -g*i = 5*h + 45, -i = 2*h + h + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/1581 and 37\/11067.\nAnswer: 11067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49 = 84*k - 45*k - 46*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 12  (b) -1\/2  (c) 0  (d) -0.1  (e) 1  (f) 12735\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11 and 44099.\nAnswer: 44099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + y**2. Let j(z) = -5*z**3 + 6*z**2 + 4*z - 4. Let l(k) = -j(k) + 2*v(k). Let x(u) = -2*u**3 + 3*u**2 + 3*u - 3. Calculate -3*l(a) - 4*x(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-11) + (-72)\/330. Let p = -8.8 - -7. Let v = p - -2. What is the closest to v in k, 5, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 15*a**2 + 13*a - 21. Suppose 3*p + 7 = 46. Let k(b) = 7 - 1 - 7*b**2 - 6*b + 4. Let v(f) = p*k(f) + 6*x(f). Calculate v(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 34990 = v, 4*v - 100946 - 39105 = -3*a. What are the prime factors of v?\nAnswer: 2, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -101*z**2 + 173*z + 453. Give o(-3).\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 + 14*f**2 + 97*f - 52. Determine w(19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 8 = -2*h - 3*o, 0 = h - 3*o - 7. Suppose 0*z - z - h = 0. Which is the nearest to z?  (a) -1  (b) 0.4  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*z = -19*z + 100. Let k be (-6)\/4*z*1\/5. What is the greatest common factor of k and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 43705923136.\nAnswer: 43705923136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2\/11, 0.4, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**3 - 2*b**2 + 2*b - 4. What is the units digit of w(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 392 = 296*o + 96 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12016253 - -5?\nAnswer: -12016245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -10.1 and 2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2122*g**2 - 2050*g - 2 wrt g.\nAnswer: 4244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 m when three letters picked without replacement from dwwmwmcmxct.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 7408371.211 to the nearest one thousand.\nAnswer: 7408000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3*s. Let z(u) be the first derivative of -3 - 2\/3*u**3 + 0*u + 0*u**2. Give z(p(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -104 <= -542.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1178*m - 2 - 727*m - 843*m + 2*m**2 + 1 to the form t + a*m + o*m**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5201 + 7459. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2940*k - 1216*k + 2*k**2 - 797*k to the form h*k + q*k**2 + x and give h.\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -68*z**3 - 136784*z**2 + 1098624*z.\nAnswer: -4*z*(z - 8)*(17*z + 34332)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -947*t + 947*t + 3*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vnvkvvfvknhnhnvvfnv. Give prob of picking 1 v and 2 k.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/3538 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 + 8. Let z(d) = 6*d**2 + d + 41. Let w(u) = -11*s(u) + 2*z(u). Let h be 2\/7 - (-37)\/(-7). What is w(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (3 + 5 + (sqrt(304) - (-1 + sqrt(304))) + 0 + (-4 + sqrt(304))*2)**2.\nAnswer: 16*sqrt(19) + 1222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 848561.\nAnswer: 7, 241, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30985 + -526601\/17. Let y = k - 3278\/391. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22557.000006151 - 22557. What is o rounded to 7 dps?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 15 = -10*m. Solve 3*i - 2*q - 2*q = -11, i - m*q + 12 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 16 = 0, 2*p = -0*f - 2*f + 20. Suppose -f*z + 474 = -12. What is the common denominator of -91\/10 and (-6)\/(-32)*(-36)\/z*-278?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 20*x - x + 37 - 9*x + 19*x wrt x?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9433 + 9435. Which is the third smallest value?  (a) 0.2  (b) s  (c) 1\/6  (d) -89  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/6*312\/(-9). Suppose 4*h + 0*h = 3*t - 38, -l = -4*t + 4*h. Let o = 2 + 3. What is the remainder when t is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28990.5827 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 42.27146 nanograms?\nAnswer: 0.00000000000004227146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2212519552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s + 7*a + 100, -4*s + 9*a - 19 - 69 = -22*a + 35*a for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/17)\/(i*i*i\/(i*i\/(i\/i**(2\/7)))*i))\/(i**(-8\/3))**(11\/4) assuming i is positive.\nAnswer: i**(1607\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8 - 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-32*17\/(-544))\/(-29)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from rygqyqryyyrrqqqm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 19 or -2\/57?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a - 5*a = 196. Suppose -4*f + a - 13 = 5*v, -4*v + 12 = -f. Solve -f*b + 1 = u - 2, -3*u = -9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 99 + -96. Suppose 5*h + 5 = 0, -5*n + g*h + h = -18959. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -269451 (base 10) to base 3.\nAnswer: -111200121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -3*o + 9, -20 = 2*v + 4*o - 2. Let f(x) = -2*x**3 - 11*x**2 - 4*x + 5. Let d be f(v). Solve k = 2*q + 2, 3*q = k - d*q - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 159 or 2372\/15?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 364 and 3581669.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 433239361.\nAnswer: 433239361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 198303?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 316683 divided by 333.\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -54427638800 to the nearest 1000000.\nAnswer: -54428000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -5. Let j be n\/1 + 0 + (0 - 0). Let u(l) = -l**3 + 4*l**2 - 6*l + 7. What is the units digit of u(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011 + 1001110101?\nAnswer: 1010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -4. Suppose -m*t = -5*t. Solve t - 8 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2888\/14 - 78\/273 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 557757 is divided by 2352?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 5, 2\/15, 0.2, -2\/507, -4, 0.3, 2\/135?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -6\/11  (b) -1\/3  (c) 2\/9  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -8*z. Let u(q) = 2*q. Let l(a) = 9*u(a) + 2*y(a). Let i be l(1). What is the remainder when 7 is divided by 5 + 2*(-1)\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1044 is divided by 91.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*c + 4*c - 40. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 61139, 61230, 61319, 61406?\n\"Answer: -q**2 + 94*q + 61046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 6, 3, -3, -25, -2, 245 in increasing order.\nAnswer: -25, -5, -3, -2, 3, 6, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 426 + -457. Let r(z) = -z**3 - 29*z**2 + 63*z + 53. Calculate the lowest common multiple of r(d) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of -f**6\/120 - f**5\/20 + f**4\/24 + 2*f**3\/3 - 28*f**2. Give v(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 8 = -4*a, 3*y + a + 8 = 2. Is y bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 288.59  (b) 0.1  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2401772 and 354?\nAnswer: 7205316","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - n - 14 = -15, -n + 7 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence edd when three letters picked without replacement from dedeeedcdddcdcece?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7735225\/63777 + -2\/9111. Let l = -121 - d. Which is the nearest to -2\/19?  (a) 0  (b) -5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by -138189.\nAnswer: 7\/138189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 456*u**2 + 10488*u + 2. Let n be z(-23). Suppose -3*a - 5*o = -2*o - 3, 4*o = -3*a + 2. Solve -a*h - 8 = n*b, -h - b = h + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -61 + 14?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 326 + 1924 = 30*h. Calculate the lowest common multiple of 15 and h.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 + 28. Let y(o) = 3*o - 35. Let g be y(j). Let p = -4.6 + 3.6. Which is the second smallest value?  (a) p  (b) g  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -2*j + 5750. Let y(x) = -2*x. Give y(g(t)).\nAnswer: 4*t - 11500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11111222 + -12020001?\nAnswer: -201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2755833 - -130?\nAnswer: 2755963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(21\/4)\/x)\/x)\/(x*x**(11\/2))*((x\/x**(17\/3))\/x)\/x*x\/(x*x**23*x))**(9\/8) assuming x is positive.\nAnswer: x**(-1221\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Do 3\/44 and -5\/437 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79915, -159800, -239685, -319570, -399455?\nAnswer: -479340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/sqrt(4)*-6)\/(sqrt(11) - (sqrt(1331)*-3 - sqrt(11))).\nAnswer: -6*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -99164344 by -898.\nAnswer: 110428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-7 - -4 - (0 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 200387 divided by 6\nAnswer: 200387\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 42 + -111 + 27 + 10.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 - 3*l**2 + 4*l + 6. Let b be p(-4). Let k(w) = 2*w - 14*w + 3*w - 5. Let s(u) = -4*u - 2. Calculate b*k(t) - 14*s(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 236, 234, 230, 224, 216?\n\"Answer: -g**2 + g + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, 5, -18 in decreasing order.\nAnswer: 5, 1, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 - 13*i + 5)*(2 + 1 - 1) + (0*i + 0*i + i)*(2 - 4 + 3))*(6 + 19*i - 22*i - 1).\nAnswer: 75*i**2 - 125*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 2*d**3 - d**2 - 2*d - 1. Let y(a) = -a**2 - 6*a + 2. Let k be y(-6). Let h be k\/8 + 225\/(-36). Let m be 4*(1 - (-3)\/h). Calculate l(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of 0 + 0*o + 1\/3*o**3 - 1\/24*o**4 - 5*o**2. Does 9 divide q(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 317 or 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 49*d**4 - 126*d**3 + 109*d**2 - 36*d + 4 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 16645 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 352 - 316. Let d be ((-4)\/18)\/(-1*4\/q). Solve -5*b + 2*y = -7, 5 = -5*b + 3*y + d*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -8*o + 2. Let p be a(4). Let x = p + 34. Solve -5*n + x = -2*y - 1, n + 4*y = 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 13\/(572\/184) - (-6)\/(-33). Suppose w + 5*z + 2221 = l*w, 3*w - 2229 = -3*z. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -42*h**2 + 23*h + 12. Let g(x) = -127*x**2 + 67*x + 36. Let i(v) = -6*g(v) + 17*s(v). Calculate the remainder when i(-1) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120) + -1*sqrt(120) + sqrt(30))\/(sqrt(450)\/sqrt(3) + sqrt(6)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 2:52 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 772.9 to the nearest 10.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(39)\/(-6*-1*sqrt(3)))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.05 + 1.95. Let n = -2\/23 - -77\/92. Suppose 3*p + 11 = 2. Which is the biggest value?  (a) y  (b) p  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21)\/(-420))\/((-11)\/(-132))*20\/(-17)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -17 (base 8) to base 15\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 54.779 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from thbhnrtbbhtjtnjbbtt. What is prob of sequence hj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1853301 - 43?\nAnswer: 1853269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.126283 from 331.842.\nAnswer: 331.968283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q + 0*q**3 + 3*q**3 + 3*q - 2*q**2 + 2*q**2 - 2*q**3 + (0*q**2 + 3*q**2 - 4*q**2)*(-5*q + 4*q + 3*q) - 4 + q**3 + 4 - q**3 + 2*q**3 + q**3.\nAnswer: 2*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of m**3*y**3 - 6*m**3*y**2 - m**2*y**4 + 45*m*y**3 - 6*m*y wrt y.\nAnswer: 6*m**3 - 24*m**2*y + 270*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 499801 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/((-4620)\/441))\/((-42)\/(-28))?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 124*k**3 - 116*k**3 + 4.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 2*p + 56 = 0, -19*p - 32 = -u - 18*p. Suppose 3*h - 38 = y, -5*y - 70 = -2*y + 2*h. Let a = y + u. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 + -64. Let v be (-28)\/140 + (-39)\/5. Let o be ((-6)\/(-24))\/1*v\/(-2). Put g, 0, -3, o in increasing order.\nAnswer: g, -3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -11769*m. Let d be g(1). Let o be (-1)\/((-30468)\/30469 + 1). Let z = d - o. What is z rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 + 14*x + 31. Determine l(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 499712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*z = 20*z + 2258 - 1310 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-98)\/(-224))\/((-4 - -1)\/(-12))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 143b (base 13) to base 4.\nAnswer: 231223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4989 + -4990. Which is the closest to -1\/4?  (a) -0.2  (b) 4  (c) p  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-4))**39\/(v**(-2\/7))**27 assuming v is positive.\nAnswer: v**(1419\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -404*a + 402*a + 10. Let v(b) = -21 - 4 + 3 + 5*b. Let y be v(a). Solve -4 - 2 = -y*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -119*w + 125*w. What are the prime factors of ((125 - w) + 1)*(-6)\/(-6)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 1\/2*d**4 + 0*d - 1\/4*d**3 - 1\/4*d**5 + 0*d**2.\nAnswer: -d**3*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of a**4\/4 + a**2\/2 + 5*a - 7. Let h be j(0). Solve -3*d = -v - 15, d - 2*d - 5*v + h = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -37993577, -2 in ascending order.\nAnswer: -37993577, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -11599, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5875337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**5 - 2*f**4 + 35*f**3 + 72*f**2 + 36*f.\nAnswer: -f*(f - 6)*(f + 1)**2*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 635843 = -21*n - 635707, 3*n = -3*z - 144 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2\/19 + 4616108*x\/19 - 18464400\/19.\nAnswer: -2*(x - 2308050)*(x - 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0299 times 3?\nAnswer: -0.0897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 216045632.\nAnswer: 2, 11, 306883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 146 = -2*b, 8*t + 64 = 9*t - 4*b. Calculate the remainder when t is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -105260\/9 + 31158031\/2664. Let h = x + -1\/37. Factor -33\/4*u**2 - 51\/8*u**4 - 21\/2*u**3 - 3*u - h - 3\/2*u**5.\nAnswer: -3*(u + 1)**4*(4*u + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4159\/933353 - 6\/1553. Let r = k + 9130\/13823. Let w = -70\/69 - r. Put w, 0.5, 1\/4 in increasing order.\nAnswer: w, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40387750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - 35\/(-10))*54. Let n = l + -75. What is the remainder when 29 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from skkksla?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 12*p - 4. Let k(g) = -12*g**2. Give a(k(s)).\nAnswer: -144*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -6*d - 3. Let w be -5 + 7 + (-6)\/3. Let z = -2 - w. Determine r(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -935*j + 1880*j + 462 - 943*j.\nAnswer: 2*j + 462","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 196, -8\/851, -2\/9?\nAnswer: -8\/851","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -889651.\nAnswer: -266895.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15 + 10032510?\nAnswer: 10032451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t + 27. What is c(14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -200 + -202?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of -83*h**7\/30 + 38*h**3 - h**2 + 152*h. Differentiate t(j) with respect to j.\nAnswer: -2324*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 56*m**3 + 50*m**3 - 22*m**3 - m**2 + m**2 - 2*m**3 + (-25*m - 7*m + 80*m)*(-3*m + 3*m + m**2).\nAnswer: 130*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.07, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) 2  (b) -6.60551  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, b: 17}. Give prob of sequence iib.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 1:13 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from ycwwwowutouuucw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 42*s**2 - 85*s**2 - s + 10*s + 47*s**2 as y*s + v + i*s**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + v + 24 = -4*q, -5*q + 10 = 3*v. Suppose 5*b - 20 + 5 = 0, 15 = 3*s + 5*b. Solve s = r - v + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - -6)*(-9)\/(-15). What is the first derivative of 4*o**3 - j + 0 + 0*o + 0*o wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -31669*q - 7. Let b(l) = l**2 + l - 12. Let m be b(-5). Let z be f(m). Let s = 101359 + z. Round s to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 2752*w + 60059. Calculate n(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (940 - 381 - 1237)*(10*t - 29*t - 67*t) in the form a + c*t and give c.\nAnswer: 58308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4\/123 - -218\/861. What is the second biggest value in -12, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, -10, -12, -14, -16, -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14524751027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 241111 (base 5) in base 6?\nAnswer: 105122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.02 + -0.98. Let n = -26 + 30.3. Let t = n + 0.7. Which is the nearest to -1?  (a) 1  (b) q  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -62556456 (base 7) to base 4.\nAnswer: -110013310023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5*(-87)\/(-15)*23 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.562175 kilograms to milligrams.\nAnswer: 6562175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**4 - 1260*m**3 - 100*m**2 + 31500*m.\nAnswer: 4*m*(m - 315)*(m - 5)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 + 268\/19. Suppose -3*b - b = 3*i - 7, 2*b - 11 = -3*i. Sort l, -0.03, i in decreasing order.\nAnswer: i, l, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 65*h**2 - 16*h - 13. What is the thousands digit of f(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*2 + 9 + -13. Let m be 2 - (y + (-2 - -2)). What is the greatest common factor of 28 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330821501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-252)\/(-273)*(-2)\/(-6).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(((-2)\/(-4))\/((-15)\/10)). Let y be (2\/u - 4\/12) + 31. List the prime factors of (-5)\/y - 111\/(-18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 237511 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i - p - 2 - 5, -17*i = -22*i - 16*p + 58 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 2) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 9*h - 2*h. Let n(q) = -q**2 + 6*q - 4. Give n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 341.4?\nAnswer: -1707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = -5*p + 10, -5*p + 10*o + 20 = 15*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 61 = 5*j + 89, -4*n + 124 = -5*j. Suppose 0 = -4*o + 2*l + n, -3*o + l - 5 = -23. Solve -11 = o*b + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39, -794, -2257, -4428?\nAnswer: -7307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + -1)*(-22)\/1. Suppose -3*m - k = 11. Let q = 16 + m. Solve -2*b - h = -1 - 3, -5 = q*b - 5*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110 = 2*j - 7*j - 5*l, -5*l = -3*j + 34. Let c = j + -9. Let w(m) = -66*m - 190. Let a be w(-3). Is a < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2 - 7*f + 6. Let t be -1 - (-15 + -3)\/2. Let s be b(t). Calculate the highest common factor of 28 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19569, 19504, 19439, 19374, 19309?\nAnswer: 19244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2254, -2272, -2290, -2308, -2326?\n\"Answer: -18*v - 2236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (40\/15)\/(6\/9). Suppose 5*m - 2*q - 1519 = 0, i*q + 614 = -2*m + 4*m. Does 44 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 5. Let h(a) = -a - 2. Let m(i) = -2*c(i) - 5*h(i). Let k(x) = 31*x**2. Give m(k(y)).\nAnswer: 155*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 565 is divided by 561?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/2)\/((-2)\/20). Suppose -4*x - 4*t = t - 90, x + 5*t - 45 = 0. What is the hundreds digit of 2139\/x + (-6)\/75*b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3428 + -2246. Let o = -831 + i. Calculate the common denominator of -11\/4 and (-3 - o\/(-84)) + 3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -128 + 1021\/8. Suppose -3*s - 3 = -o, -2 = -4*s + 3*o - 6. Put s, p, -2 in decreasing order.\nAnswer: p, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 42 and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of 1\/4*o**4 - 3*o - 1\/3*o**3 - 3\/2*o**2 + 3. Let m(j) = -j**3 + 2*j + 2. Suppose 1 = 3*h + 7. What is h*y(v) - 3*m(v)?\nAnswer: v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 16359596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10)\/25 + 13\/(-5). Let p = -0.344 - -0.044. Which is the second biggest value?  (a) -2\/5  (b) p  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -468 by 187.\nAnswer: -468\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 5 + sqrt(20) + (-1 + sqrt(500) + 4 - sqrt(500)) + sqrt(500) + sqrt(500).\nAnswer: 4 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.6 + -2.6. Which is the fourth smallest value?  (a) 0  (b) -0.1  (c) u  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the second derivative of -j**3\/6 - 5*j**2\/2 - 7*j. Let i(m) = -2*m**2 + 23*m + 466. Let k be i(22). What is w(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -520*u**2 - 79418*u - 84*u**2 - 104*u**2 - 2*u**3 - 355216 + 96*u**2 + 30248*u.\nAnswer: -2*(u + 8)*(u + 149)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2. Let h = -103 + 106. Let x(z) = h*z**2 + 2*z**2 + 0*z**2 + 1 + 0. Calculate x(k(s)).\nAnswer: 5*s**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -191 + a18?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -22, -48, -82?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.08 - -0.62. Let k = -172 - -177. Sort o, 3, k.\nAnswer: o, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 minus -0.01123?\nAnswer: -0.28877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 219157980 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 12:46 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 11. Suppose -3*y + 7 = -4*x, 0*x = 5*x + i*y - 35. Suppose 0 = x*z + 2*z - 12. Let k(b) = -b. Determine k(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 141, 143, 145, 147?\n\"Answer: 2*w + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 41390508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43 by 604.\nAnswer: -43\/604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 30.756, 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37061, -75, 1 in increasing order.\nAnswer: -75, 1, 37061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -3*j. Let o(m) = -17*m. Determine o(h(s)).\nAnswer: 51*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -2551288.3 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 u when three letters picked without replacement from uuuuxuuxuxuuxuux?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-142)\/(-18) - 25\/(-225). Suppose -o*u - 263 = -1103. What is the hundreds digit of (-5)\/(-10)*-6 + u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 2*sqrt(363).\nAnswer: 4 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 38.3458 and 1.2?\nAnswer: 46.01496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + 5 + 11 + (1 + 1 + 3 - 19).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2230, -2316, -2556, -3028, -3810?\nAnswer: -4980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4038*d**4 - d**2*o**3 + 5934*o**3 with respect to d.\nAnswer: -16152*d**3 - 2*d*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h*h**(-1\/6))*h*h**(1\/7)\/h assuming h is positive.\nAnswer: h**(13\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3532830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 p when three letters picked without replacement from hhhhppmhp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6637 and 17831.\nAnswer: 118344347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 11, -157, -737, -1975, -4117, -7409?\n\"Answer: -41*z**3 + 40*z**2 - z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 1:01 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.01  (b) 5  (c) -7  (d) -98  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1232155 (base 6) to base 15\nAnswer: 14aee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-25)\/(-5)*(-76)\/10. Let s = 17 - p. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32514 is divided by 32438?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 184*b + 435 - 435 to the form j*b + q and give j.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1377 + -44. Calculate the remainder when z is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 + 10*u + 15. Calculate f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 24*w**2. Let d(b) = 4958377*b. Determine u(d(v)).\nAnswer: 590052059379096*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of -8*f + 9\/2*f**2 - 1\/3*f**3 + 106. Calculate d(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the first derivative of -5*f**2\/2 + f - 69. Let z(v) = -14*v + 3. Calculate 11*o(w) - 4*z(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/2*10\/(-3). Let r = o - -7. Which is the closest to 2\/5?  (a) r  (b) 2\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13605.1 - -75\nAnswer: 13680.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5b50f - b?\nAnswer: 5b504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1000 - -1521?\nAnswer: 2521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -1888\/3 + 2\/3*r**2 + 940\/3*r = 0. What is r?\nAnswer: -472, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.959898 and -0.1?\nAnswer: 0.7959898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2232065545.\nAnswer: 5, 97, 379, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 AM and 6:27 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/898 and 39\/172.\nAnswer: 77228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106 = -3*w + 170. Let u be (-3 - -5) + 3 - 2. Suppose -c + w = u*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than 10639429?\nAnswer: 10639428.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 538092413 to the power of 1\/3, to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 216 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 973608.603 to the nearest 10.\nAnswer: 973610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -48 less than 23037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times -1605.2\nAnswer: 160.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -41376\/1267 - -93\/181. Let n = 32 + w. Which is the biggest value?  (a) -1\/2  (b) n  (c) 0.02  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by -4\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -155*z = -2*r - 151*z - 10, -z = -6*r - 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -5, 2, 2\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m**3 - 14*m**2 + 7*m - 5. Let n be d(7). Suppose 0 = -5*h - 25, -4*u - h = -243 - n. Calculate the remainder when u is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114899 = -13*q + 822526 + 27770. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.3622 + 1.1138. Is 0 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 292707534.\nAnswer: 2, 3, 7, 419, 16633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2851 or 749946\/263?\nAnswer: 749946\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/138 and 1\/6 + (-2020)\/1080.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2485 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 39*r**2 - 27*r + 1. Let i be t(1). Solve -49 + i = -12*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 75159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 385 - 363. What is the derivative of k*q + 6*q + 5*q**4 + 123 - 30*q wrt q?\nAnswer: 20*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 + 18*v**2 - 17*v + 38. What is the tens digit of l(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 621 and 17631?\nAnswer: 405513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x + 24*x = -34 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -724 = -3*h + 2*z, 4*h + 5*z - 1407 = -434. What is the lowest common multiple of h and 18?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 - 8*i**2 - 5*i + 7. Let c be x(-7). Let m be (-3 - c)\/(-4)*-3. Factor 16\/7 + 10\/7*g**m - 36\/7*g**2 + 24\/7*g.\nAnswer: 2*(g - 2)**2*(5*g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1035*t**6 - 26*t**5 - 5*t**3 + 9325*t**2 + 157 wrt t.\nAnswer: -124200*t**3 - 1560*t**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -15*a**3 - 91*a**2*x**3 - 2476*x**3 wrt a.\nAnswer: -45*a**2 - 182*a*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1187283574007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 w, 1 d, and 1 n when four letters picked without replacement from {d: 1, n: 1, r: 1, j: 2, w: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30040\/3 + 10016. What is the nearest to 2\/3 in l, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(3\/7)*v**(-1\/3)*v\/(v*v\/(v\/(v*v*v**(3\/7))))*v*((v**(-1\/7)\/v)\/v)\/v assuming v is positive.\nAnswer: v**(-94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*b - 96*b + 112*b.\nAnswer: -44*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 80743860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7, 1, -3 in decreasing order.\nAnswer: 7, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 11*x**2 - 43*x. Let m be h(6). Let o = m + -135. Solve -12 = 6*s - o*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15 and 1146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y + 50 = 50 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 125 divide 9375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2\/19 - 1544*l\/19 + 402936\/19.\nAnswer: -2*(l - 206)*(l + 978)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -7.89116 and 0.3?\nAnswer: 8.19116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -173 divided by -2073?\nAnswer: 173\/2073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) 5  (b) -17\/513614  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/10?  (a) -0.4  (b) 473  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15784768 + 37271*i + 15784768 - 98657*i)*(0 + i + 0).\nAnswer: -61386*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 5. Find the common denominator of 2\/(-4) - 75\/(-16) and (-2)\/n - (-187)\/(-30).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzn when three letters picked without replacement from onz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00011008 rounded to six decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 199.681 + -1.090336.\nAnswer: 198.590664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 3*k**2 + 5*k - 4. Let n be g(-4). Let l be 4\/10 + (-174)\/(-15). What is the greatest common factor of l and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 - -33. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c + 1. Let w be ((-12)\/8 - -1)*4. What is the lowest common multiple of t(w) and (-66)\/(-6) - 1*(0 - -4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 136 divide 1527688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7\/6 + -5\/12. Which is the nearest to 1?  (a) -2\/11  (b) -3\/7  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of 5\/3*c**3 + 5 + 2*c**2 + 1\/4*c**4 - c. Suppose 17*p = 43 - 111. What is h(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 11, b: 9}. Give prob of picking 1 y and 2 b.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*f - 4. Suppose -4*a - 9 = -5*u, -2*u - 221 = 3*a - 197. Sort -58, f, u in decreasing order.\nAnswer: f, u, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 59\/(-708)*-3*20. Let u(d) = -6*d**3 + 0*d**3 - d**3. Let f(b) = 4*b**3. What is w*f(h) + 3*u(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -612 divided by 612?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of -4*s**2 + 11\/18*s**4 + 33*s + 2\/9*s**3 + 1\/20*s**5 - 4 - 2\/45*s**6 - 1\/126*s**7. What is d in i(d) = 0?\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4787 - 4625) + -85 + -1?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21115368 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -23 + 3. Is (((-30)\/(-9))\/h)\/(4\/(-29454)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18575 and 16959718.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 318741*u**4 + 14069*u**2.\nAnswer: 7649784*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*i - 8*i - 93. Calculate the remainder when i is divided by (-3 + 4\/(-4))*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -34.2 and 7.1.\nAnswer: -242.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 7*f + 6. Let r(v) = -15*v - 13. What is 7*h(w) + 3*r(w)?\nAnswer: 4*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2, -27, 0.601?\nAnswer: 0.601","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-46))\/(50\/20*88\/(-264)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4*(-1)\/4 + 1. Let t(d) = 6*d - d**z - 2*d - 5*d. Let p(g) = -2*g**2 - 3*g + 2. Calculate p(o) - 3*t(o).\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1788*o**2 + 2161*o**2 + 5 - 5 - 1435*o**2 + 2359*o**5 wrt o?\nAnswer: 141540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -5*i**2 - 5*i + 12. Let c(m) = 5*m**2 + 6*m - 11. Let p(g) = -4*c(g) - 5*v(g). Is p(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-36*(-15)\/600)\/(1\/30)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(216)\/(sqrt(588) + 2*sqrt(588)))\/(sqrt(1296) - (sqrt(1296)*-1*-1 + sqrt(1296)) - (sqrt(1296) - (sqrt(1296) - -5*-1*sqrt(1296)) - sqrt(1296))).\nAnswer: sqrt(2)\/210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1023, -950, -877, -804, -731, -658?\n\"Answer: 73*y - 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of -16*t**3\/3 - 5*t**2\/2 + 265. Let q(p) = -p**2. Give q(r(s)).\nAnswer: -256*s**4 - 160*s**3 - 25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 v when three letters picked without replacement from ymvcfmyc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/9  (b) 2\/31  (c) -0.2  (d) -12  (e) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 208\/132 - (116\/(-1740))\/((-1)\/(-5))?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000101733 to seven dps.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 23 = -3*i, 0 = -3*i + 5*z - 0*z + 5. Suppose i*c - 22 = 4*k, 10 = 2*c - 2*k + k. What is the smallest common multiple of 66 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 909 - 132. Let f = m - 766. What is the third biggest value in -1, f, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -128.6 * 1.727.\nAnswer: -222.0922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -803, 63, -3, 27, 0 in increasing order.\nAnswer: -803, -3, 0, 27, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -604881222.14 take away 1.7?\nAnswer: -604881223.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*s - 81*s - 11 = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 6*a**2 - 2*a - 11. Let r be v(5). Let h(s) = s**2 - 3*s + 2. Let y be h(3). Solve 2*q + 5*o - 6 = 5, -r*q - 2*o - y = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 5*a = 13, 2*r + 98 = 6*a + 82 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*i + 3 = -60*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 47*j**2 - 283*j - 4. Calculate u(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 PM and 10:29 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + 72a20904?\nAnswer: 72a20901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 667*u**3 + 151*u**2 + 20*u + 102408807?\nAnswer: 2001*u**2 + 302*u + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence chc when three letters picked without replacement from chhccc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 37404293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2)\/(l*l*l**(4\/7)*l))**(-2)\/((l**(1\/5)\/l**(-3\/4))\/((l**(-2\/7)\/l)\/l**(2\/7))) assuming l is positive.\nAnswer: l**(1207\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g + 25 = 169. Suppose -5*f = -36 + g. Solve 0 = -4*t + 8 + f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c - 3*c - 23 = -2*o, -5*o = -2*c - 30 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -24?  (a) -24  (b) -44\/3  (c) -3  (d) -8.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1\/323779 - -1755187\/11656044. What is the common denominator of b and 56\/171?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1112 - -1133?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -11*c + 2. Let o(d) = 139*d**2 + 123*d**2 - 258*d**2. Determine a(o(n)).\nAnswer: -44*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15103 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1964 by -3.\nAnswer: -1964\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 47573668 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 69 + 587b7?\nAnswer: 58853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1683, -6734, -15153, -26940, -42095, -60618?\nAnswer: -82509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.25544*-0.5.\nAnswer: 0.62772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -17088*n**3 + 7632*n**2 - 612*n - 57.\nAnswer: -3*(4*n - 1)**2*(356*n + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 16787933 or 16787932?\nAnswer: 16787933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -54086 (base 10) to base 3.\nAnswer: -2202012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 1 + 3)*(9*u + 9*u + 59*u) + (u + u + 0*u)*(-1 + 4 - 2))*(u - u + 2*u**2).\nAnswer: -304*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -55 + 384\/7. What is the nearest to -2 in -0.1, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65646*q + 0*q**3 + 65685*q - 131331*q - q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 88 - 275 + 90 - h - 10*h**2 + 0*h**4 + 2*h**4 + 93 in the form k*h + s*h**3 + w + t*h**2 + p*h**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-3*sqrt(204) - sqrt(204))*-6)\/(sqrt(132)\/(2*sqrt(99)))*-1.\nAnswer: -864*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - s - 15. Suppose -g - 4*g = 3*r + 10, -10 = s*g. What is the third derivative of 0 - 4*l**2 + 0 - 4*l**5 + r wrt l?\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.6, 0, 33, -0.3, 2, -110?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o\/(o*o**(-8\/3)))\/(o*o**(1\/73))*(o*o*o**12\/o*o)**10)**(-23) assuming o is positive.\nAnswer: o**(-723580\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7188, -633, 10292, 25587?\nAnswer: 45252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 + 389 = 6*s. Suppose -3*u + 5*n = -6547, -u = -2*n - s - 2102. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 151554 in 2, 0.138, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 103, 407, 913, 1621, 2531?\nAnswer: 3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -19?  (a) 2  (b) 1\/121  (c) -3  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express f - f**3 + 9*f**3 + 0*f**3 - 3*f**3 as i + v*f**2 + n*f**3 + w*f and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(300) - ((1*sqrt(300))**2 + 4)) + (sqrt(300)*5 + 4 + sqrt(300))**2)*4.\nAnswer: -84096 - 3920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -184, -7, 4, 2 in increasing order.\nAnswer: -184, -7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2829895 is divided by 9207.\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -q**2 + 269435*q + 737901 with respect to q.\nAnswer: -2*q + 269435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 4*z = j - 13, -1 = -5*j + 4*z. Let t be 0\/(0 + 4 + -5). Put j, t, -2 in decreasing order.\nAnswer: t, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from eeehj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 11:58 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 - 14*a + 33. Let r be u(13). Let d be r\/((-4)\/(17940000\/4485003) + 1). What is d rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3573119 weeks to microseconds.\nAnswer: 216102237120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-22)\/6)\/((-68)\/(-51) + -1). Calculate the lowest common multiple of 3*409 + 5*n\/11 and 10.\nAnswer: 6110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 10*x**3 - 1752*x**2 + 354*x - 442. Give j(175).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-1)*(3 + -5). Let f be (-122)\/(-22) + 2\/i. Let c(u) = u**3 - 2*u**2 - 325*u - 27. Let l be c(-17). Is f <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 7\/2*4\/(-7). Let d = 31 - v. Let n = -6 + d. Is 26 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -178 - -186. What is the least common multiple of 32 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40.583 litres in millilitres?\nAnswer: 40583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/39)\/(84\/(-1638))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*-13 + -117 + 127. Is r at least as big as 50\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*r**2 - 26140296*r - 139045889 wrt r?\nAnswer: -4*r - 26140296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1899579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.14 - -0.14252. Round n to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 187 by 418.\nAnswer: 17\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 56\/7 + (-12)\/4. Solve -q*u = 13 + 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5699114 + -5733959.776. Let m = f - -34845.58700111. Let h = 0.189 + m. Round h to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 - (33 - 236 - -11)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2134 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 708 - 2650. Round u to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3773 is divided by 1877.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pax when three letters picked without replacement from xap?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80937*x + 80977*x - 161914*x + 16*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.55 * 2.219039.\nAnswer: -5.65854945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2\/13 + 118086*z\/13 - 5554460\/13.\nAnswer: 2*(z - 47)*(z + 59090)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 6*o + 49. Let d be r(-7). Suppose -31 = -2*h - d. Solve -3*n = -n + 5*w - 2, 2*n + h = 2*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-20))\/((-2)\/12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*g - 67*g + 55 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1333*z + 845 + 2647*z - 1313*z - 918*z**4 - z**2 wrt z?\nAnswer: -22032*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 - 6*f - 11. Suppose -2*y - 15 + 5 = 0, -25 = -4*b + y. Let a = b + 4. What is the remainder when w(-3) is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-27)\/(-2))\/(5\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*q**3 - 5*q**3 - 35*q**3 + 13*q**3.\nAnswer: -92*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-5)*y**(-1))\/((y\/(y*y*y**(2\/7)*y))\/(y*y*y**4*y)))\/((y\/(y**(-4\/5)\/y)*y)\/(y*y**(-2)*y)*y**(7\/3)) assuming y is positive.\nAnswer: y**(-299\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Is 81627 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -13763\nAnswer: -2\/13763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = 2*j + 9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/30*(-15)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.9, 0, -2\/15, -1, -1\/133?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13632\/32802)\/((-6)\/33).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/3522 and 55\/3522.\nAnswer: 3522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 0 - 3)*(1 + 2 - 4) - 1 + 1 + 1 - 2 - 1 + 4 + 4 + 1 - 2)*(521*s + 221*s + 112*s + 0*s).\nAnswer: 5978*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13106 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ctf when three letters picked without replacement from ttzfrzczcrzzzrt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 17, -7 in ascending order.\nAnswer: -7, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 30, 64, 118, 198?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5632 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 - 2*k + 10. Calculate the remainder when j(9) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1485 - -704. Let g = 1143 + w. Let t = -361.9999382 + g. What is t rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of o**5\/20 + 3*o**4\/4 - 3*o**3\/2 + 6*o**2 + 2*o. Let u be r(-10). Suppose 3*s = -2*s + 20. Solve -2*n + s*n = u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/621 and 64\/18423.\nAnswer: 55269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-4974.\nAnswer: 1492.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 9*m**3 + 6*m**4 - 17*m - 5*m**3 - 10*m**3 to the form n*m + t*m**3 + a + j*m**4 + z*m**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 + 5*x + 2. Let y be m(5). Let b be 2046\/(-3) + y + 0. Let q be b*20*500 + 0. Round q to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 983244199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -0*z + 5*k - 38, 2*k + 66 = 5*z. Suppose -h - 4*h + 5 = -2*c, -4*c + 11 = -3*h. Calculate the remainder when z is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 - 12.48. Let i = b - -0.08. What is the closest to 2\/5 in -4, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 + 9*i**2 + 6*i + 12. Let d(f) = 2*f**3 - 10*f**2 - 5*f - 12. Let w(g) = 3*a(g) + 2*d(g). Let m be w(-6). Solve q + 2*q = m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, z: 2, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 223064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -24337 + 39734. Let q = n - 8798. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b - 4*b**2 + b**2 + 6*b)*(-b + 3*b - b).\nAnswer: -3*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*n**4 - 11*n**3 + 18*n**2 + n wrt n.\nAnswer: -144*n - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 30\/353?\nAnswer: 30\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 9*z + 4 - 1 - 2 - 3 - 9*z**2. Let y(s) = -28*s**2 + 28*s - 6. Let g(b) = -16*o(b) + 5*y(b). What is the tens digit of g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19974 and 15.\nAnswer: 99870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -6*o + 0*o + 4*o - 3*o**2 + 2*o**2. Let p(w) = w**2 + 3*w. Calculate -4*i(y) - 3*p(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/15)*k**9)**(-31) assuming k is positive.\nAnswer: k**(-4123\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 2*z + 10 = 0, -15 = 36*p - 39*p - 4*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.02, 3, -4414, -34, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.5215644 to 3 dps.\nAnswer: 0.522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -7*s - 1. Let b(z) = 6*z + 1. Suppose 14 - 17 = -4*n - 5*k, 4*n = -k - 9. Give n*a(h) - 4*b(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 723.72 - 762. Let i = q - 0.72. Let t = -38 - i. Which is greater: t or -11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 6. Let j(d) = -59*d + 50. Determine j(c) - 6*r(c).\nAnswer: -59*c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-42*i + 42 - 42)*(-3*i + 3*i - i)*(2 + i - 2).\nAnswer: 42*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00055416 rounded to 6 dps?\nAnswer: -0.000554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 747746204 + 5?\nAnswer: 747746211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 239234.\nAnswer: 2, 119617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 4 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n + 15. Let g(q) be the second derivative of -q**5\/20 + 11*q**4\/12 - q**3\/3 + 6*q**2 - 54*q. Let v be g(11). Determine b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2.1, -7\/17, 0.012?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -8. Let f(z) = z**2 - 3*z + 2. Let h be f(v). Solve -3*a - h*a = -15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/9?  (a) -1  (b) -10  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 0) + (60 - 55).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(1\/3))\/((x\/(x\/(x*((((x**(1\/8)\/x*x*x)\/x)\/x)\/x*x)\/x*x))*x)\/x) assuming x is positive.\nAnswer: x**(13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 PM and 4:57 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -1. Suppose -14 - 1 = -f*b. What is the third derivative of 3*y**b - y**5 - y**2 + 4*y**2 - 6*y**2 wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 913526.5 decades?\nAnswer: 109623180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.5 - 1. Let z = -7.07 + 0.07. Let t = -5 - z. Which is the nearest to 0.1?  (a) g  (b) 2\/13  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.187 and -0.000085?\nAnswer: 0.187085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**3\/9 + 776*g**2 - 2388190*g\/3 + 1773238900\/9 = 0. What is g?\nAnswer: 362, 1565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 - 8*o**2 - 10*o + 7. Let u be a(9). Suppose -d - 10 = 4*d. Let f be (3\/u)\/(3\/d). Is 3\/2 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -332836 plus -9?\nAnswer: -332845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -1 + 1 + 2*v. Let q be s(1). List the prime factors of ((-2 - -1) + q)*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144*z + 139*z = 10. Let u(h) = 3*h**2 + 3*h + 3. What is u(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30\/13 or 7?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.939 to 2 decimal places.\nAnswer: 19.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1501*b*t**3 + 3055*b wrt t.\nAnswer: 4503*b*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - 3*(sqrt(91)*1 - sqrt(91))) - (sqrt(91) - ((-2*sqrt(91) - sqrt(91))*2 - sqrt(91)) - sqrt(91)))\/(sqrt(77)\/(2*sqrt(11)*2)).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9244 + 9245. Which is the closest to t?  (a) -5  (b) 2\/427  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18461, -36933, -55405, -73877, -92349?\nAnswer: -110821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 7*a**2 + 6*a. Let s(r) = r**3 - 14*r**2 - 10*r + 1. Calculate -3*s(i) - 5*u(i).\nAnswer: -3*i**3 + 7*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 + 5*s**2 - 11*s + 36. Let x be z(4). What is the greatest common divisor of x and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 115386, 461515, 1038394, 1846023, 2884402, 4153531?\nAnswer: 5653410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from egywgsyeyswwgygygg. What is prob of picking 1 y and 2 g?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 160 - 154. Solve r + 2*f = -13, -135*r - d = -137*r + 4*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**3 - 9633*u**2 - 173151*u - 778815 = 0. What is u?\nAnswer: -9615, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*w + 2*w = -188. Let r be 3\/(-2)*(-6)\/(-3). Is (306 - w) + (r - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f. Let w(s) = -7*s + 127. Determine 3*o(h) - w(h).\nAnswer: h - 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 0*z = -u, 8 = -z - 3*u. Let m(b) = -b - 1. Let w be m(-6). Put 0, w, z in increasing order.\nAnswer: 0, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, y: 3, w: 1}. What is prob of sequence twt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77215357 + 425988430 = 389*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -96950.\nAnswer: -48475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 18 = -5*r. Let s(h) = 4*h - 3*h**3 - 7*h**3 - 5 - h**2 + r*h**2 - 5*h. What is the hundreds digit of s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -160 by 7751.\nAnswer: -160\/7751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -2*f - f, 10 = -2*p - 5*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5*((-12)\/(-20))\/((-12)\/(-56)))\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 3780*r + 102068. Determine w(-27).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 5, -2*q + 0*f - 4 = 4*f. Let d be 39905\/69 - (q\/(-3) + -2). Suppose 7*a - d - 142 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**3*f**(-1\/9)*f*f\/(f**2\/f)*f**(-4\/3) assuming f is positive.\nAnswer: f**(23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5.3, -4, -230\/19 in decreasing order.\nAnswer: 1, -4, -5.3, -230\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-96)\/11 + 283 + -274. Factor h*y**4 + 0*y - 1\/11*y**5 + 0*y**2 - 2\/11*y**3 + 0.\nAnswer: -y**3*(y - 2)*(y - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 14046*h**2 + 5170?\nAnswer: 28092*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*n - 17*n = 1874768 + 1283790. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 3 c when four letters picked without replacement from {d: 3, c: 5, e: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/(-252))\/(56\/252)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17582 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -5*n - 2. Let x be q(-2). Let g = x + -5. Let m be (8*3)\/(-2)*(36 + -20)\/(-96). Solve h + m = g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/(-10))\/((-12)\/(-10)). Let u = -0.252 - -0.452. Which is the closest to 0?  (a) -2  (b) u  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(70) + sqrt(70) + sqrt(70) - sqrt(70))*2 - sqrt(70))\/((sqrt(110)*-2 - sqrt(110) - sqrt(110))\/sqrt(11)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06 - -402678386703.6.\nAnswer: 402678386703.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1052939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6912 - 18895. Let a = o - -26496. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 107 by -148.\nAnswer: -107\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 + 3*p + 1. Suppose -106 = 1819*d - 1766*d. Let r(s) = -s. Calculate d*a(n) - 6*r(n).\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2*d + 1 + 1 to the form s + y*d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {v: 4, s: 2, p: 1, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from ezzwewezwzeewzzez?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -294*h**3 - 65*h**2 - 344*h**2 + 69*h**2 - 216*h**2 - 290*h - 2*h**4 - 26*h**2 = 0.\nAnswer: -145, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*t**2 - 1272714*t + 2545440 = 0. Calculate t.\nAnswer: -424240, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/(-15) + (-115902)\/(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + -143?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4930930 is divided by 456.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 436*w**2 - 856*w - 4748. Determine o(434).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 11) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 130798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -231303 - -5?\nAnswer: -231265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 18\/(-3)*79\/2. Let q be a\/(-15) - (-2)\/10. What is the highest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y + 475 = 123. Let f be (16 - y)\/((-6)\/4). Solve 4*b + f*t = 4, -t = 3 - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 2*u = 7, -11*u - 18 = 6*k - 7*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23062076*b**2 - 4765042*b?\nAnswer: 46124152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 32*c. Let w(q) = 138*q. Let f(x) = -26*g(x) + 6*w(x). Let r(b) = 2*b - 12. What is r(f(z))?\nAnswer: -8*z - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -45760 - 159?\nAnswer: -45909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 0.146.\nAnswer: -0.0292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11 and 57354?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 29 and 34?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 663275 divided by -26531\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-4) + -1 + 0. Suppose 0*d - 5*d + 95 = a. What is the highest common divisor of 152 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 113.1 to the nearest integer.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.2 + -45.4. Let o = -10 - 39. Let s = o - x. Round s to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 261.1794835331 - 5?\nAnswer: 256.1794835331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -13*t**2 - 303*t + 32. Let z be y(-23). Solve -z*n = -118*n - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 156*l**2*r**2 + 146*l**2 + l + r**2 wrt r.\nAnswer: 312*l**2*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(4 + (-5*sqrt(475)*-3 + -5*((2*sqrt(475) - sqrt(475)) + sqrt(475)))*5))**2*1.\nAnswer: 4000*sqrt(19) + 1187564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 32 = 4*o, -o + 6 + 2 = 2*y. What is the lowest common multiple of o and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 - 11*m**2 + 11*m - 8. Let r be z(10). Suppose -2 = -5*f + 4*p, 4*p - 14 - r = -4*f. Solve 5*n = t + 8, -3*n = -f*t - 4*n + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.154*-0.0258417.\nAnswer: -0.0556630218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -2*m**3 - 22*m**2 + 16*m + 30. What are the prime factors of l(-12)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*w**5\/3 + 5504*w**4\/15 - 3202*w**3 + 24628*w**2\/15 + 17888*w\/15 = 0. What is w?\nAnswer: -559, -2\/5, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 72126870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-4)\/16*2*-274 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + (7 - (43 + -14) - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28) + (sqrt(28) - (sqrt(28) + sqrt(1008)*1)))\/sqrt(900).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81*k**2 + 3943*k + 436*k**2 - 3943*k + 405*k**2.\nAnswer: 760*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*2*(-8 - -7). Suppose 5 = -3*n + 2*w + 3*w, r = -2*n + 4*w. Let x be (2\/(-4))\/(n\/20). What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3781 + -15203\/4. Calculate the common denominator of (-3 - (-86)\/(-16)) + 1 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5*(-1 + -1 - -1). Let j = -8.4 + 8. Which is the biggest value?  (a) j  (b) 0  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8956148 is divided by 350?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -3*z**3. Let v be o(-1). Differentiate 3 + 9*k**3 - v*k**3 - 10 - k**3 with respect to k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + 26*h**2 - 29*h - 56. Let m be o(-27). Let f(s) be the first derivative of 5*s**2 - 6*s**2 - 3 + 6 + s. Give f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 98 = 5*t - 30, -3*t + 3*s + 96 = 0. Is 1491\/t - (-2)\/(-8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -3766\nAnswer: -7532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1860 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000109322 rounded to seven decimal places?\nAnswer: 0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -3*i + 7, 2*i - s - 5 - 3 = 0. Suppose -2*r + i*m = -14, 0*r + 6 = 5*r + 2*m. Find the first derivative of -9*z**2 + 13*z**r - 3 + 9 wrt z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/2*(3 - 3). Suppose h*n = 6*n - 30. Let b(r) = -r**2 + 4*r. What is b(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 7*y = 5*q - 9, y - 2*q = -6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31, -67, -117, -187, -283?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 6852 * 49\nAnswer: 335748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -26 in 67\/3, 1, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20768*h**2 - 10*h - 106 wrt h.\nAnswer: -41536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7817 + 3728 + 3789)*(2*k - 4*k + 3*k)*(-7*k + 6*k**2 + 2*k - 8*k**2).\nAnswer: 600*k**3 + 1500*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g + 31. Let w(k) = 2*k**2 + 6295. Determine d(w(n)).\nAnswer: -4*n**2 - 12559","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 343586707 - -1?\nAnswer: 343586708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 264.494 - 0.494. Let k = -2159953089 + 2159952825.0000639. Let b = k + t. Round b to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.006307865 rounded to five decimal places?\nAnswer: -0.00631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*h + p, h + 3*p - 4*p + 3 = 0. Let o be 2023*(-2)\/4 - h\/(-4). Is 24 a factor of o\/(-14) - 1\/(21\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (144 - (-104 - -163)) + (-7 - (1 - 3)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02921198003 rounded to 6 decimal places?\nAnswer: 0.029212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 132113919 to the power of 1\/2, to the nearest integer?\nAnswer: 11494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-3)\/3*(-4)\/(-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.288 + -0.288. Which is the closest to -0.1?  (a) t  (b) 1  (c) -0.1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/3))**(7\/3)\/((t**(-2\/7)\/t*t)\/t)**(-43) assuming t is positive.\nAnswer: t**(-3385\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3*(-2)\/9)\/((-23)\/(-276)). Suppose -6*y = -y - 15. Is 14 a factor of j\/(-4) + 132\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 558 or 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 4*b + 58, 22 = -3*z + 4*b + b. Let a(s) = -2*s**2 - 30*s - 20. Let m be a(z). Suppose 7*o = m*o + 1350. What is o rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 14672.83 millilitres in litres?\nAnswer: 14.67283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 58 - 29. Suppose 19 + 20 = 2*u + 3*y, y = 2*u - 35. Calculate the remainder when k is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**4\/7 - 3806*g**3\/7 + 207036*g**2\/7 - 586800*g\/7 = 0. What is g?\nAnswer: -1956, 0, 3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*i**2 + 354*i - 354*i to the form k*i + b*i**2 + n and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -2*(-3 + (sqrt(13) - ((sqrt(39)*2 + sqrt(39) + sqrt(39))\/sqrt(3) + sqrt(13))) + sqrt(13)).\nAnswer: 7 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1176 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b + 35 - 4 - 3*b - 2.\nAnswer: 2*b + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 - -25. Let v = 2 - d. Let p = 21 + v. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 777825589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 10  (b) 0.7  (c) -7  (d) 3\/4  (e) 0.6  (f) -4  (g) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/3*n**4 - 2\/3*n**2 - 2\/3*n**3 + 2\/3*n + 0 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-1 + 1 + -1). Let i be 1\/4*-6*z. Let v(w) = w**2 + 1. Let u(b) = 3*b**3 - 3*b - 6. Let r(y) = i*v(y) - u(y). Find p such that r(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10.77*-0.03\nAnswer: 0.3231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 8 + 3 + (1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -49*v**3 - 167*v - 5. Let m(s) = -122*s**3 - 418*s - 12. Let q(b) = 5*m(b) - 12*p(b). What is the second derivative of q(x) wrt x?\nAnswer: -132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -23122*s. Let h(f) = 381342*f - 762692*f + 381352*f. Determine h(t(k)).\nAnswer: -46244*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 203, 409, 615, 821?\n\"Answer: 206*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.496775 * 3.\nAnswer: 10.490325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqdqqii. Give prob of picking 2 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Do 12.2 and -7\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 10:36 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 457 a factor of 159668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14807938?\nAnswer: 2, 59, 67, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -6. Suppose 0 = -7*y + z*y + 8. Suppose f = y*f + 3. Let c(i) = i**2. Let u(x) = x**3 + 3*x**2. Give f*c(h) + u(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-22)\/176)\/((-4)\/16)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -75674, -75396, -75118?\nAnswer: -74840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 558338*f**3 - 3*f + 151288.\nAnswer: 3350028*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -554 - 3962 = -100*v + 5684. Solve 0 = -21*g - v - 24 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -5*s - 3*j, -4*s + 68 - 75 = -j. Sort 0.5, 3, 4, s, -5\/7.\nAnswer: -5\/7, s, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -43950 or -1\/2?\nAnswer: -43950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.01568 - 0.06668. Let d = h + 0.051. What is the closest to -1\/2 in d, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 0 + 2 + 21 + -2 + -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -q - 107 + 11, q - 48 = -r. Suppose -3*m = -5*m + r. Let o be 6\/m + 415\/4. What is the highest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54, 55, 56, 57, 58, 59?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, c: 3, z: 7}. What is prob of picking 1 z and 1 c?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 72 and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jmmdmdrjmmjm. Give prob of sequence drjm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fftt when four letters picked without replacement from ttttffjfjt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -67167*j**2*k + 70*j**2 - 952*j wrt k.\nAnswer: -67167*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1083*l**2 - 108*l**2 - 18724*l + 18724*l.\nAnswer: 975*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 23. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13024 divided by -6512\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -24.142 - -420.142. Is n at least 0.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 27 = 3*v, -3*v + 5*j = -6*v + 35. Is (-28)\/8*((-94590)\/v - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37*o**2 - 762*o + 59*o**2 - o**3 + 2 - 97*o**2 to the form v + c*o**3 + k*o + w*o**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 24031359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*u = -h - 78, 3*h - 5*u = -18 + 44. Let i(k) = 85*k**2 + k - 1. Let c be i(1). Calculate the greatest common divisor of c and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 - 6*p - 2. Let z be (-2)\/(-3)*(-6)\/4. Let x(n) be the second derivative of -n**3\/6 + 10*n. What is z*d(l) + 6*x(l)?\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-2 + sqrt(5) + 1 + (sqrt(10)*3)\/sqrt(2)).\nAnswer: -16*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24.39 - 25. What is z rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-1\/14)\/c)\/c)\/c**22)\/(c**(-7))**(-1) assuming c is positive.\nAnswer: c**(-435\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 = -10*x - 82. Let a = -5 + 8. Let -3\/5*z**a - 6\/5*z - 9\/5*z**x + 0 = 0. What is z?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 2*f. Let n(x) be the first derivative of 2*x**3\/3 - 13*x**2\/2 - 15. What is n(m(q))?\nAnswer: 8*q**2 - 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s**(-2\/11))*s**32)\/(s*s**26*s\/((s*s**(-5\/7)*s*s*s*s)\/s)) assuming s is positive.\nAnswer: s**(575\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4464 = 2*f + 994. Suppose 0 = 6*h - 11*h + f. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 3*s = -12, 3*d - 2*s = 6*d - 10. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**2 - 36*c + 64 = 0. What is c?\nAnswer: 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5308*n*p + 135052*n wrt p.\nAnswer: 5308*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2668863 rounded to three dps?\nAnswer: 1.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 8*x**2 + 8. Let z(s) = -s**2 + s - 1. What is -b(d) - 5*z(d)?\nAnswer: -3*d**2 - 5*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 364321216 and 896?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 76031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of -267*c**5\/20 + 119*c**4\/3 + 789*c**2. What is the second derivative of w(q) wrt q?\nAnswer: -1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5843 + 5958. Which is greater: z or 1030\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 926  (b) 7  (c) -0.3  (d) 1  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (34*p - 2*p + 78 - 84)*(5 - 4 - 2).\nAnswer: -32*p + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3657737 (base 10) to base 8.\nAnswer: -15750011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/(sqrt(8)\/sqrt(4)) + ((sqrt(720) - (sqrt(720) + sqrt(720)*-1)) + sqrt(720))\/sqrt(12))\/((sqrt(48) + 1*sqrt(192))\/((sqrt(40)*-1)\/sqrt(10))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = 4*z + 53 - 45, -32*z + 30*z = -h + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3)\/(i\/(i\/i**(-1\/12))*i))**(-31)*((i\/(i*i\/(i*i*i\/((i**(-3)\/i)\/i))))\/(i*i**(1\/3)*i*i*i))\/(i**(1\/4)\/i)**50 assuming i is positive.\nAnswer: i**(1939\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 z when three letters picked without replacement from zxzxxoozzxzzozo.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -86, -30, -7 in descending order.\nAnswer: 4, 0, -7, -30, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 4:38 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - g**2 + 1 - 2*g)*(2*g + 0 - 4*g + 6).\nAnswer: 2*g**3 - 2*g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 16*c + 51. Let v be y(-3). Let p(q) = -q. Let u be p(-1). Suppose -3*j + 35 + u = 0. Solve 0*a + v*a = j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-59 - 10)\/(2\/(-2*(-5)\/5)). Sort f, 57, 5.\nAnswer: f, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of 7*w**5\/30 - w**4\/6 + 9*w**2. Find the second derivative of a(y) wrt y.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*x - 1 + 1 + 87*x.\nAnswer: 51*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -4. Let p(c) = 4*c + 13. Let y be p(-4). Put y, o, -2 in decreasing order.\nAnswer: o, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3567.999993 + 3568. Round d to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c + 3. Let b be q(-7). Suppose n - 2 = -25. Let g(x) = -x - 25. Let z be g(n). What is the closest to b in 3\/7, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 161 = -3*s - 2929, 24 = -4*s. Calculate the remainder when d is divided by 337.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 112 = 112. What is the hundreds digit of 174 + l\/(24\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - o + 3*o = -21, b + 4*o = 7. Let w = 2 - 2. Let u = w + b. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 338508 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 2 - 4. Let i be (-2041)\/(-5) + g\/(-5). Suppose -r + i = 3*r. Is r a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 433 - 424. Solve 0 = 4*p + h - 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of -d**7\/7560 - d**6\/2160 + d**4\/6 - 11*d. Let a(l) be the third derivative of z(l). Factor a(k).\nAnswer: -k*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -16*p - 978. Determine d(-76).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/3 - p**4 + 7\/3*p**3 - 8\/3*p**2 + 1\/6*p**5 + 3\/2*p.\nAnswer: (p - 2)*(p - 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 3*j - 764. Suppose -2*a = -a - j. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -7890, -18613, -36480, -61485, -93622, -132885, -179268?\n\"Answer: n**3 - 3578*n**2 + 4*n - 4317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -584081 (base 10) in base 2?\nAnswer: -10001110100110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*b**4 + b**2*h**2 + 14*b*h**2 - 12*b*h wrt b?\nAnswer: -84*b**2 + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 365 is divided by 121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 44878233 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.016407 minutes to microseconds.\nAnswer: 60984420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 300735?\nAnswer: 3, 5, 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-8) - 26\/(-8). Let x = -26 - -236\/9. Let w = -2\/209 - -428\/1045. Which is the nearest to w?  (a) -1  (b) x  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 78*k**2 + 129*k + 128. Calculate the smallest common multiple of 168 and q(-1).\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 + (14 - 13 - -11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k - 0*k + 115. Suppose -4*r = 3*t + 55, 0*r + 66 = -5*r - t. Let s = r + 25. Calculate the remainder when k is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -30, 16, -625, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 25\/2 of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1\/2  (b) 2\/9  (c) -5  (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -12846, -13021, -13210, -13413, -13630, -13861?\n\"Answer: -7*k**2 - 154*k - 12685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30135104 and 4037.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 PM and 4:38 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 782546830 to the nearest integer?\nAnswer: 27974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*b**5 - 359*b**4 - 12*b**3 - 607657*b**2 wrt b?\nAnswer: -180*b**2 - 8616*b - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -5*d**2 + 11*d + 3. Let z(w) = 4*w**2 - 10*w - 2. What is 2*i(m) + 3*z(m)?\nAnswer: 2*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 40 from -6293.52842179.\nAnswer: -6333.52842179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z = 9*z - 23. Let m = 34 + z. Is 5 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 25*o - 27*o - 292, 5*o + 670 = -2*i. Are o and -135 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -1. Let v(t) = -2*t + 54. Let m(u) = -5*n(u) + v(u). Let p(x) = -x**3 + 8*x**2 + x - 8. Let l be p(8). Is m(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -2. Let s(a) be the second derivative of 3*a**5\/20 + a**4\/12 - 345*a. Calculate s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 17 - -6*(-30)\/(-36)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -173.7 + 173.7. Which is the closest to d?  (a) 127  (b) -3\/5  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8386153, -8386177, -8386213, -8386267, -8386345?\nAnswer: -8386453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35)\/(sqrt(42)\/(sqrt(96) - sqrt(6)))*-2)**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 31 and 583172.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dx when two letters picked without replacement from vttvdxgg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -2*r - 14. Let s be z(-10). Is s bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 + -11. Let x(d) = -6*d + 62. Let r be x(8). What are the prime factors of (7*r)\/(6 + (-8 - h))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -401*k**4 + 417*k**2 wrt k.\nAnswer: -9624*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 9:29 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 35 + -35. Suppose c + 4*c - 180 = q. What is the greatest common factor of 24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 701125364 from -0.6802.\nAnswer: -701125364.6802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, p: 1}. What is prob of picking 1 p and 1 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/4 - 51\/108*1. Which is the nearest to -0.1?  (a) -5  (b) n  (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12.5 in -1\/4, 0.4, -3335, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 11\/2 of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/5 - 64\/(-80).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2370, 9431, 21174, 37593, 58682, 84435, 114846, 149909?\n\"Answer: -v**3 + 2347*v**2 + 27*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-10) - 288\/(-30). Suppose -3*d - n = 14. Let j be -4*(-4)\/d - -7002. Round j to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -456000 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000027648 to seven decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.31 - 4052.\nAnswer: -4051.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h**3 + 2*h**2 + 2*h + 1. Let v be b(-1). Sort -4, v, -1.\nAnswer: -4, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 0.6247906?\nAnswer: -0.18743718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 179373?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of -g**5\/20 + 5*g**4\/12 + 7*g**3\/6 - 5*g**2\/2 - 9*g. Suppose -103*s + 831 = 213. Calculate z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 8. Let p be (-2 - 2046\/(-10))*1. Let t = p + -202. What is the second smallest value in 5, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 288768312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 93733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 462465 by 30831.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -16\/9*r**3 - 8\/9*r**5 + 4\/9*r**2 + 0*r + 0 + 20\/9*r**4 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 + 131. Let g be z(0). Suppose 3*p = -4*f + 549, f + 3*p - g = p. Suppose 4*m + 48 = b, 0*b = -2*b - m + f. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 + 0*t**2 - 4*t**3)*(2 + 1 - 5)*(2 - 6 + 3).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 66225364 divided by -4297\nAnswer: -15412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -182*q + 93*q + q**3 - 7*q**3 + 89*q.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhgfqhq. Give prob of sequence gf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -56 - 69. Suppose -10 = -q + y. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10083\/28 + -1463\/4. Let n be (-26474)\/16 + 2\/(-8). Let z = n - -1651. What is the common denominator of k and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2458?  (a) -0.2  (b) 5  (c) -2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-30 + 21 + 71)*(0*r + r + 2*r) - 265 + 265 - 4*r to p*r + t and give p.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 214, 206, 184, 142, 74, -26?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 + 12*q - 13. Let l be i(11). Is 4 a factor of 12 + 1 + l + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 106 = -14. Let n = y + 33. Factor 5*p**2 + n*p**3 + p**4 - p**3 + 4*p**2 + 4*p**3 + 4*p.\nAnswer: p*(p + 1)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/5)\/(143\/(34320\/(-32)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28 and 93212?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-14 - (-7 + -1)) + -3 - 0\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.584 and -0.3?\nAnswer: -0.1752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*o**3 - 3*o**3 - 2*o**3)*(3 + 2*o - 3) as l*o + q + k*o**4 + b*o**2 + s*o**3 and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 55*a**4 + 4*a - a**3 + 116*a**4 + 0*a - 58*a**4 in the form z*a**3 + j + l*a + i*a**2 + s*a**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -12974.6 to the nearest 100.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 145872473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 135 = 2*w - 203, -4*w = -5*b - 166. Sort -6, w, 4.\nAnswer: -6, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/2198 and 103\/84.\nAnswer: 13188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23.5 - 19. Let v = 24 + -20. Let s = v - r. Which is the third smallest value?  (a) 3  (b) s  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -8*z + 9. Let d be x(6). Let v = -78 - d. What are the prime factors of 9\/(v\/(-9) + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 604, 602, 600, 598?\n\"Answer: -2*g + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 3*n + 5. Let d be (1\/2)\/(1 + 60\/(-56)). Let l(o) = 2*o + 9. Let m be l(d). Calculate h(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3 = -2. Let t be 6\/(-4)*10\/(-15). Let u = t - q. Calculate the remainder when 23 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.295367 millennia to centuries.\nAnswer: 52.95367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 76*r. Suppose 3*q - 185 = 2*s - 4*s, -5*s = -5. Let a(p) = q*p + 62*p - 120*p. Determine z(a(y)).\nAnswer: 228*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**2\/4 + 3*v\/4 + 15.\nAnswer: -3*(v - 5)*(v + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 262 = -2*p, w + 2*p - 54 = -0*w. Suppose -2*s - w = 14. Let o = s + 54. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -7*d - 2*y + 14, d + 71 = 5*y. Suppose 2*c - c = 0. Suppose -3*h + 0*h = c. Sort d, -3, 2, h.\nAnswer: d, -3, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 2*h - 514, -2*h + 7*p + 515 = 8*p. What is the remainder when h is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12538 = -7*o + 21489. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((0\/92)\/(-65))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 2*d**3 + 2*d**2 + 4*d - 16. Let p = -294 + 300. Let a be q(p). Round a to the nearest ten.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46 + 63*z**3 + 90 - 44.\nAnswer: 63*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of -1\/120*r**5 - 784\/3*r**3 + 0*r - 3 + 16*r**2 + 7\/3*r**4. What is t in u(t) = 0?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 + 0 + 0. Let u(d) be the second derivative of -d**3\/6 - 2*d. What is h(u(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(17) - (-4 + sqrt(17))) - (sqrt(833) - (sqrt(833) - (-3 + sqrt(833)))))**2.\nAnswer: 238*sqrt(17) + 1122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + -3. Let g be (-6 + 2)\/n - -4. Solve 0*l = 4*l - g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 1584 = -2*u. Suppose 216 = q - 2*a, 0 = -2*q - a - 4*a + u. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 + 4*v**2 - 3*v + 3. Let i be d(4). Let f = 24 + i. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 6:25 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872) - -1*sqrt(1872) - sqrt(1872))*-3 - sqrt(78)\/(sqrt(486)*1 + sqrt(6)))**2.\nAnswer: 1694173\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 470.47 + -1.\nAnswer: 469.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*t**3 - 63*t**3 + 56*t**3.\nAnswer: -48*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62598.\nAnswer: 2, 3, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 13 - 8 - 5 + 12*s. Let v(q) = 2*q. Determine a(v(h)).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 - 13*k + 33. Calculate z(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 - 14 - 8*w**3 + 10*w**3 + 5001298*w.\nAnswer: 2*w**3 + 5001298*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 25797596227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*c + c + 3*c)*(1810*c - 187*c - 249*c + 41*c + 1774*c) to the form z*c**2 + x*c + a and give z.\nAnswer: 3189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 430792184.\nAnswer: 2, 37, 1455379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, m: 1, l: 1, v: 3, e: 2}. What is prob of picking 2 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24 is divided by (-19 - -27) + (-1)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, -50 in increasing order.\nAnswer: -50, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -34 and -913949.\nAnswer: 31074266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 1955*r. Let f(o) = -47*o. Calculate x(f(c)).\nAnswer: -91885*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -21742?\nAnswer: -2\/10871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 562 - 540. Suppose 1 = -5*a + 21. Suppose -5*y + 2 = 4*v - 4, -8 = 4*y. Solve -4*d - a*x = 27 - 3, -i = 2*d + v*x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/7, -2\/15, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/19)\/t*t**(-30))**(-1\/6) assuming t is positive.\nAnswer: t**(295\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -4*g + 92. What is the least common multiple of l(4) and 2?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/2680911 and 22\/7533.\nAnswer: 24128199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1606 = -0*n + 3*n - 4*r - 1617, 6*n + 8 = 2*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -0*v - 2*v + 166, -v - 4*p + 105 = 0. Suppose -f - 30 + v = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000003817692 to seven dps.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 45 + -38. Suppose s*z - 8*z = -68. Suppose -82 = -2*d + z. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 56*u - 8*u + 2833 - 2827 to z*u + r and give z.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64221 is divided by 367?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 270*y - 110. Let b(c) = 10*c - 4. Let a(q) = -55*b(q) + 2*u(q). Let w(s) = -s. Determine -3*a(d) + 24*w(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 72\/96 + 42\/8. Let m = g - 4. Solve m*c = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -18*b**4 + 4731*b**3 - 8550*b**2 - 16443*b = 0. Calculate b.\nAnswer: -7\/6, 0, 3, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y**2 - 379 + 379.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 216.042 to the nearest integer.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (2*(2 + sqrt(684) + 0 + 0 + -1 + 1 + sqrt(684))*3)**2.\nAnswer: 1728*sqrt(19) + 98635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*f**3*p**3 + 393*f**3 + 3*f**2 - 17*p**3 wrt f.\nAnswer: 18*p**3 + 2358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -5  (b) -6  (c) 3940  (d) -44  (e) 1  (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 154707167 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7.4 + 8.6. Let g = -990.03961 - -988.84. Let p = g + q. Round p to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-3)*(-14)\/((-98)\/21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of 2*s**2 - 3*s - 34. What is v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/(6\/(-24)*-8). Solve f = 3*d - d - 3*l + 13, -4*d - 16 = -4*l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -290880 divided by -1212\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 + 15*x**2 - 38*x - 41. What is f(12)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 1\/15 = -181.79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57370425.\nAnswer: 3, 5, 7, 67, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {y: 2, x: 1, i: 6, w: 5, d: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in 3, 0.9, -4, -3\/4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 34578\nAnswer: 34578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 161728883 to the power of 1\/2, to the nearest integer?\nAnswer: 12717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -7, -151.\nAnswer: -151, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 67048872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1584) - (sqrt(1584)*-1 + 4).\nAnswer: -4 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**26*(d\/d**(1\/41))\/d*(d**(-35\/6))**(-4\/7) assuming d is positive.\nAnswer: d**(3605\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 17*y**3 - 3*y**2 + 4*y + 2. Suppose -2*v + 2*f = -212, 2*f + 46 = v - 64. Let j = 104 - v. What is the units digit of d(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.233 * 0.5\nAnswer: -0.1165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*i + i - 8. Let z be ((-4)\/(-1))\/(i + -6). Suppose -100 - 426 = -z*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13066.\nAnswer: 2, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -5*a + 7. Let x be 5 + -1*(0 - -1). Let z(j) = 5 - 6215828*j - 1 + 6215825*j. Give x*f(g) - 7*z(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69.96395 millennia to decades.\nAnswer: 6996.395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9131 + 23195. Does 62 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2 - 6*q + 3. Let n be o(-6). Suppose -2*h - 3*h = 25. List the prime factors of (h\/3)\/(n\/(-18)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 2*h**2 - 2*h - 2. Let w be q(-3). What is the greatest common divisor of w and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -70\/40197 and -87\/10.\nAnswer: 401970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 m, and 1 x when three letters picked without replacement from bjqmzxb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(78) - (-1*sqrt(78) - sqrt(78))) - (-4*(sqrt(78) + sqrt(78)*-1) + sqrt(78)))\/(sqrt(48)\/(sqrt(72)*-3)))**2.\nAnswer: 105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z. Let o(a) be the first derivative of 0*a + 7 + 0*a**2 + 4\/3*a**3. What is d(o(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1632988822 + -3197392446167\/1958. Let i = -1941\/178 + h. Let y = -181 - i. What is the closest to 1 in -0.5, y, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 653 and 21.41?\nAnswer: 13980.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -192 times 0.07\nAnswer: -13.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 54 - 27. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = -4*y - 28. What is the common denominator of y and -70\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -86 and 0.185.\nAnswer: -15.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (a + 4*a - 6*a + (2*a - a + 0*a)*(-3 - 3 + 4) + 5 - a - 5 - 21*a + 10*a - 26*a)*(-1 + 0 + 0)*(8 + 3 + 2) as m + t*a and give t.\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 5*h - 61173 = 60395, -30410 = -x + h. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/6 and -91\/412900?\nAnswer: 1238700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3 + 2*6\/3. Let i(y) = 5*y**2 - 6*y. Let j(l) = -l**2 + l. Let h(o) = a*i(o) + 4*j(o). What is the second derivative of h(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i + 3*i - 12*i + (-1 - 3 + 2)*(0*i - 2*i + 4*i) + 0*i - 4*i + 6*i)*(-2 + i + 2).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1487425 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z**2 - 3*z**2 - z**2 + (-2 + z + 2)*(3*z - 2*z + z) + z**2 + z**2 + 0*z**2 + 4*z**2 - 3*z**2 - 4*z**2 as j + p*z**2 + s*z and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d + 20. Let g be n(16). Suppose -4*m - 1 = 15. What is the tens digit of (-12)\/g + 78 - m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -288419, -1153698, -2595839, -4614842?\n\"Answer: -288431*h**2 + 14*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ouoouuuuuuuuuuuuouuu. Give prob of sequence oo.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 28\/(-6) - (-18)\/27. List the prime factors of (470\/(-15))\/(x\/6).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 67175*128\nAnswer: 8598400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 42\/(-91)*442\/(-51). Sort 3, t, 60\/11, 17 in decreasing order.\nAnswer: 17, 60\/11, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 219.2964 - 218.9. Round b to two dps.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of -3*a**2 + 1\/120*a**7 + 11\/160*a**6 + a + 7\/96*a**4 + 13\/80*a**5 + 0 - 1\/4*a**3. Factor f(j).\nAnswer: (j + 1)**2*(j + 3)*(7*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 207436477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 14*y**3 + 2*y - 1. Determine k(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40 + -21. Suppose 0*g + 3*g - 5*d = 17, 0 = 4*g - 3*d - l. Calculate the remainder when 10 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-4*(sqrt(78) + sqrt(78)*1))\/(sqrt(6) - sqrt(36)\/sqrt(24)).\nAnswer: -16*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -5*y - a, 40732*y - 40732*y - 3*a + 6 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/4, -6\/11, 0.2, -458, 1161?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 109*g**3 + 175*g**2 - 22279*g?\nAnswer: 654*g + 350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*s + 40 = -14, -2*s = -5*x + 81. Let o be (-9)\/x - 1266\/(-10). Suppose 0 = -0*f - 3*f + o. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16 + 9. Suppose h = 6*f - f. Solve 0 = 2*d - 7*d + f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1, -3\/4, -0.4, 770?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2376548 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and 0.11.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6360043 is divided by 421?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/g**(-4\/9)*g*g)\/((((g*g**(-6\/5))\/g)\/g)\/g)*((g*g**(1\/32))\/g*g)\/(g\/(g*g**0)))**(4\/3) assuming g is positive.\nAnswer: g**(12493\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 17 = -3*x, 3*x = 4*x - 1. Let f(z) = 6*z**2 - 2*z + 3. Let d be f(2). Let b = d + -11. Calculate the lowest common multiple of b and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 613.1583 weeks?\nAnswer: 103010.5944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 0.14, -0.3, -3, 8, 2 in descending order.\nAnswer: 8, 2, 0.14, -0.3, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 399628?\nAnswer: 2, 99907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 75854*c + 75849*c = -410, -331 = -5*l - 4*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 202\nAnswer: 1\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - u - 12. Suppose 2 = -2*y + 2*f, -3*y + 4*f - 1 - 2 = 0. Calculate the remainder when u is divided by 4\/(0\/y - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 858, 961, 1064, 1167, 1270?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11 and 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-3)*(-27)\/36.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 79.96366 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-1 + 2 - 0). Let y(x) be the second derivative of x**4\/12 + 7*x**3\/6 + 7*x**2\/2 + 3*x. Let o be y(-6). Sort -3, b, o.\nAnswer: -3, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 5:30 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 - -28. Let x(r) = -r**2 - 10*r. Let g be x(-9). Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 712 + -673. What is the remainder when n is divided by 11 + 2 + 12\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -38, -3, 9, 8 in descending order.\nAnswer: 9, 8, -3, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 1 + (3 - 1 - 3)*(-3 + 2 + 2))*(-2*d + d**2 + 2*d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (2970 - 3) + 20 + (-264)\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2493.000321385 + -2493. Round q to five dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a**2 - 6*a + 5. Let d(w) = -w + 2. Let b be d(0). Let r(t) = -t + 0*t - 18 + 19 + t**b. What is i(c) - 6*r(c)?\nAnswer: -3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of -5*t**2\/2 - 9*t - 1. Let i(q) = q - 1. Let b(w) = -6*i(w) - z(w). Let v be -2*(-32 - (-2200)\/80). Give b(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20998591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 - 2. Suppose s*j + 0*j - 6 = 0. Suppose 3*p - 6*r - 21 = -3*r, -p = -2*r - 10. Solve j*w - p*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - 4. Let g = 27 + -18. Suppose -5*z + 47 = s*f, -g = -f - 3*z - z. What is the greatest common factor of 52 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of 2\/21*n**3 + 1\/14*n**4 - 6 + 0*n + 0*n**2. Factor w(m).\nAnswer: 2*m**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10da (base 14) to base 2\nAnswer: 101101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 2*c = -549051, 5*b + 2*c = -114290 + 663349. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4043 and 39.\nAnswer: 12129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 773 + -451. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 50235336 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 458239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -572732*q**2 + 1145653*q**2 - 572739*q**2.\nAnswer: 182*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 781 + -738. Does 28 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 3) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2013049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194*p**2 + p - 193*p**2 + 0*p = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -421*p**6 - 26*p**2 - 1 wrt p.\nAnswer: -50520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) -1\/72  (c) 0.5  (d) -5  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 + 12 - 7) + 1*-4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -13*m**3 - 12*m**2 + 3*m - 87. Let j be w(-7). What is the highest common divisor of 53 and j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from {r: 4, h: 2, b: 2, c: 1, y: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -220 - 2?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -627*(3920\/1848)\/(-35).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 211 (base 6) to base 8\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from {h: 3, i: 1, n: 5, r: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -3*w + 390. Let l = -16 + 16. Let v be m(l). Let n = v - 233. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72167*o + 18040*o + 18036*o + 18059*o + 18033*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8967611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 + 2*y - 16. What are the prime factors of a(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - 3)\/(7 + (-115)\/15). What is the remainder when (y - 6 - -400)*(2 + -1) is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 4*z + 7 + 15 = 0, -a = -4*z + 13. Suppose y - a*u - 10 = 0, -4*y + 18 = -7*u + 6*u. Solve 5*m - y = 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 189 and 17262?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1855 = 87*m + 66*m + 631 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-138)\/72)\/((-338)\/8112).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 10:03 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -648, -205, 4, 16 in ascending order.\nAnswer: -648, -205, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 182*z + 3 - 3 - 46*z.\nAnswer: 136*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 4*l - 6, -4*f - 7 = -l + 2. Let o = 5 + f. Solve -3\/4*d**2 + 3\/4 + 3*d - o*d**3 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 + -25. Which is the nearest to 5?  (a) v  (b) 4  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 378 and 3171?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25392 - -25405. Suppose 2 = -g - 134. Let q be g\/(-14) - 2\/(-7). Solve q*w = -5*h + 5*w + 15, w = 4*h + b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 - (-22 - 2\/(-1)). Let p be 6\/(1 - g\/8). Let z(y) = y. What is z(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29681*v + 80 - 37 - 24921*v - 43)*(5 - 5 - v**4).\nAnswer: 54602*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 798062038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31250, -31639, -32288, -33197?\nAnswer: -34366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (29*l + 69*l - 52*l)*(-3*l**2 + 5*l**2 - l**2) + (58*l**2 + 93*l**2 + 2*l**2)*(1 - 1 - l) in the form a*l + d + i*l**2 + b*l**3 and give b.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10305 + 206023\/20. Let n = -978\/5 + 193. Let f = n - s. Which is the smallest value?  (a) 0.1  (b) f  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i**2 - 41*i + 30. Let o be (0\/(-3) - 1\/2)\/(37\/(-962)). What is q(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*(12*18\/(-6) - ((-135)\/9 + 20))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -32*u**2 + 9. Let h(q) = -12*q**2. What is h(w(o))?\nAnswer: -12288*o**4 + 6912*o**2 - 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 8 + 1)*(4*p + 0*p + 7*p) + 0*p + 2*p + 0*p + (2 - 5 + 1)*(-3*p + 2*p + 3*p) + (-2 + 2 + 2*p)*(1 + 1 + 0) + 2*p - 2*p - p.\nAnswer: -54*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 359*q**3 - 4. Let t(p) = -1075*p**3 + 11. Calculate -4*t(w) - 11*u(w).\nAnswer: 351*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*v - m, 3*m - 2*m + 16 = 5*v. Suppose -89*d + 0*d + 143 = -302. Suppose -d*o + 21 = -4*q, -v*o - 3*q + 0 = 9. Solve 0 = -3*b - 7 + o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*d**5 + 4299*d**2 + 4*d + 611.\nAnswer: -80*d**3 + 8598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1651, 6269, 13865, 24451, 38039, 54641?\nAnswer: 74269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -3*j**2\/2 - 6*j - 4. Let o be s(-3). Is (-1)\/(o\/(-1341)*3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 153, 170, 187, 204, 221?\n\"Answer: 17*n + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/6 and 87\/440.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 0*g + 2992 = -2*g, 4*s = -3*g - 2388. Round s to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*t + 0*t = 2176 - 559. What is the lowest common multiple of 264 and t?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.4, -13.422, 0, 3\/2?\nAnswer: -13.422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4982 - 5367 = 35*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 11:44 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -37386481, -37386489, -37386511, -37386553, -37386621?\n\"Answer: -m**3 - m**2 + 2*m - 37386481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 - -1. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 - (6 + 1 + -26 + 9).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**2 - 2*a + 10. Does 4 divide v(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xrwbrrb. Give prob of picking 2 x, 1 r, and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -13*h + 7. Let n(b) = -b**2 - 3*b + 2. Let j be n(-3). Find the third derivative of -13*o**4 + 19*o**4 - h*o**j - 5*o**2 wrt o.\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) -1\/3  (c) -3\/1717  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -24, -263, -914, -2181, -4268, -7379, -11718, -17489?\n\"Answer: -34*k**3 - 2*k**2 + 5*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -4375*q - 601. Let y(g) = 729*g + 106. Determine 6*a(s) + 34*y(s).\nAnswer: -1464*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o. Let h(p) = -p**2 - 4 + 3*p + 9*p**2 + 1 + p**2. Let l(y) = 10*y**2 + 4*y - 4. Let v(t) = -4*h(t) + 3*l(t). Give m(v(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 40 + -34. Calculate the least common multiple of 3 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 809*d - 46901. What is c(58)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 8:01 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-56 - 4 - 98)*(4*r + 4*r + r).\nAnswer: -1422*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1306\/1035 - 28\/23. Let v = 4\/41 - -62\/205. What is the third biggest value in 1, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 470*g**2 + 1. Let y be k(-2). Find the common denominator of (-6)\/(-21) + y\/(-336) and 55\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 132 + 964 + f**2 - 3*f + 0*f**2.\nAnswer: f**2 - 3*f + 1096","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*s**2 + 604319792*s + 22825150687682704 = 0. Calculate s.\nAnswer: -75539974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 4*w - 4*q - 8, -3*w = q - 22. Solve -14 = -5*g + w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -73, -147, -221, -295?\n\"Answer: -74*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 709559 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-52)\/(-39) - (30808\/(-168) - (-2)\/(-7)). What is the greatest common factor of 55 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*1\/18*32\/24?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 28 = 52. Let y = j + -5. Suppose -h + y = -6*h. Which is the biggest value?  (a) 0.2  (b) h  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1980*s**2*t**2 - 70*s**2*t - 2*s*t**2 + 3*s - 94*t**2 - 13*t + 2 wrt s?\nAnswer: -3960*t**2 - 140*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5839 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5 + (-98)\/2*-1. Let j = 47 - w. Suppose g + 4*v = 39699992, 54736178 + 64363812 = j*g + 5*v. Round g to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 227 = -4*q, 3*q - 6*g - 3*g = -7*g + 149 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 3)*(102*a + 111*a - 22*a).\nAnswer: -573*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 416*j - 415*j + 465 = 0, 3*p - 3*j = 342. Calculate the remainder when 1041 is divided by p.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -1 + 5 - 4*u + 2. Let q(f) be the first derivative of 9*f**2\/2 - 13*f - 1293. Let w(v) = -13*d(v) - 6*q(v). Let a(c) = -5*c**2. What is w(a(g))?\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 27883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -w, -2*q + 0*w = 3*w - 449. Suppose -7*x + q = -2*x. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -339*z**4 + 362 wrt z.\nAnswer: -1356*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -970.327\nAnswer: 194.0654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(4 + (sqrt(304)*-2*4 + 5 + (sqrt(57)*1)\/sqrt(3))**2).\nAnswer: -36576 + 620*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 53 - 50. Let p be (14 + (o - 5))\/(-1). Let c = 14 - 25. Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -3*l - 1. Let p(f) = f**2 - 9*f + 3. Let b be p(8). What is s(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4843819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 392604464 by -79282.\nAnswer: -4952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 367 + -2241.3296\nAnswer: -1874.3296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 115 = -h, -3*h + 321 - 78 = 2*o. Let w(d) = d**2 + 4*d - 10. Calculate the remainder when h is divided by w(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a = -17416 - -17421. Let z(p) = 9*p - 1. Let m(v) = 5*v - 1. Let c(j) = 5*m(j) - 3*z(j). Give c(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 84 and 3672?\nAnswer: 25704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*r**2\/7 - 3*r - 5\/7 = 0. What is r?\nAnswer: -1, -5\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fu when two letters picked without replacement from {p: 1, g: 1, f: 2, u: 2, a: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 3*f**2\/7 + 5253*f\/7 - 152077806\/7 = 0.\nAnswer: -8049, 6298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -2  (c) -10\/21  (d) 6  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2799 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 90.34192kg in milligrams?\nAnswer: 90341920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1953?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5016, 5019, 5022, 5025, 5028?\n\"Answer: 3*c + 5013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/2 and 137\/810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-416 - -428) + (-87)\/7. Let p = 0.2 + 0.8. Which is the nearest to p?  (a) m  (b) 0.5  (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 PM and 3:17 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*z**2 - 10*z**2 - 16*z**2.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -10 + -7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/13))**(-23\/6)*t**(-1\/25)*t**4 assuming t is positive.\nAnswer: t**(7147\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 10:27 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15323 is divided by 725.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of a**4\/4 + 4*a**3\/3 + 4*a - 17. Let z be o(-4). Solve j = 2*j - 5*h + 4, -j - 3*h + z = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6.9308 * -0.1\nAnswer: 0.69308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**3\/21 + 8*a**2\/7 + 86*a\/21 + 20\/7 = 0 for a.\nAnswer: -2, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11011 (base 2) to base 12.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/4 + 159*i**2\/4 - 116*i - 156.\nAnswer: -(i - 156)*(i - 4)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l - 3*l + 4*l)*(l - l + 2*l) + 38 + 8*l**2 - 38 + 7*l**2 + 4 - 4.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13360149*b**4 + 489369332*b**2?\nAnswer: 320643576*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**4\/3 + 18040*m**3 + 81088000*m**2 + 359551975000*m\/3 - 5559132187500.\nAnswer: 4*(m - 45)*(m + 4525)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3114 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71*q**2 + 30*q**2 + 100*q**2 - 72*q**2 + 57*q**2.\nAnswer: 186*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 234631.\nAnswer: 19, 53, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64 = -7*p - 22 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + (-68)\/(-6)*(-18)\/(-12). Suppose 16*f - z*f - 49 = 0. Find the common denominator of -43\/3 and (11\/(935\/(-10)))\/(2\/f).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 7441*i + 52837. What is s(-7)?\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.13 - 0.03. Let a(j) be the second derivative of -j**3\/3 + 37*j**2\/2 - 9*j. Let s be a(15). Which is bigger: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144 = 98*m - 104*m. What is the least common multiple of 20 and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -9*g**2 + 1. Let c(i) = 26*i**2 - 4. Let z(u) = -4*c(u) - 11*p(u). What is the first derivative of z(y) wrt y?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 267 - 1329\/5. Let a = -23\/15 + f. Let j be (-4)\/4 + (-6)\/(-4). Which is greater: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 4*w + 1. Suppose 2*h + g = 67, 33 = -4*h + 5*h + g. Suppose -5*s = -39 + h. Let v be (-11 - (s + -2))*(-1)\/2. Give y(v).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -18*n**3 + 523256*n**2 - 3802675770*n - 845064900 = 0.\nAnswer: -2\/9, 14535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 237582 and 13002.\nAnswer: 2613402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 118898096071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 195*v**2 + 3*v**3 - 11 - 187*v**2 + 0 - 2*v. What is the tens digit of w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 5, p: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 84 = 5*r - 3*m, 3*r - 36 = -3*m. Let o = 54103 + -53983. Calculate the greatest common factor of o and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 6*m - 268. Calculate g(46).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 + l + 2. Let u be j(0). Suppose -u*p = 2*i - 6*p - 630, -5*i - 5*p + 1605 = 0. Is 29 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 8*b + 28. Let g(o) be the first derivative of -3*o**b - 6*o - 3 - 1\/3*o**3. What is g(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4810.8 + 4811. Suppose -2*d - 21 = 5*q + 19, -5*d - 25 = 0. Let k = q - -28\/5. What is the second smallest value in a, k, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 158251 * -6.3.\nAnswer: -996981.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*h**4 + 1083142*h**3 - 2*h**2 + 23448883 wrt h.\nAnswer: -8*h**3 + 3249426*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and -24351.\nAnswer: -7305.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.026, -560, -0.25, 0.01 in increasing order.\nAnswer: -560, -0.25, -0.026, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/12812 and -85\/16.\nAnswer: 51248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/100 and 79\/660.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((1*(2*sqrt(270) + sqrt(270)) + sqrt(270))\/sqrt(6))**2.\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2197 = -8*w + 203. What is the greatest common factor of 325 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4497388098 to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 10 = 6*a. Let c(r) = 7*r**2 - 1. Let q be c(1). Determine y, given that -q*y + 8\/3*y**a + 4\/3 = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 152*p**4*t**3 + 14*p**2*t**3 - 7*p*t**3 + p*t**2 + 813*p + 1 wrt p?\nAnswer: 1824*p**2*t**3 + 28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 5*w - 28, g - 2*w + 6 = -3*g. Sort 1\/2, 1\/11, g in ascending order.\nAnswer: 1\/11, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 600*r**3 - 11*r + 11. List the prime factors of w(1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of 1\/2*k**2 - 8*k + 12. Give v(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.3 - -0.4. Let p = -103.98 + 104. Let x(i) = -i. Let j be x(-4). Put p, j, t in ascending order.\nAnswer: p, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 2*a + 6. Suppose -4*s + 4 = -2*m, -5*m + a*m - 9 = -5*s. Let t = m + 21. Calculate the highest common divisor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 7) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 - 8603?\nAnswer: -8581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2 + 0.3. Let q = -229.034 + 228. Let i = q - -0.034. Which is the third smallest value?  (a) 5  (b) i  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9595 is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 755 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**4 + 255*x**3 + 1354*x**2 + 1455*x - 1098.\nAnswer: (x + 3)**2*(x + 122)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1770\/19, -6, 0.5, -0.11?\nAnswer: 1770\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 65161197 to the nearest integer?\nAnswer: 8072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34 and 14858.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.2, 1\/2, 39.48, -0.01, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r - 23*r - 44 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(112) + sqrt(7) + -2.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 167208697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b + 252 = 8*b. Calculate the remainder when 24 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/48255 or -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.5 - 2.5. Let t = p - 9. Which is the third smallest value?  (a) 3  (b) t  (c) -1  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in twenty-six fifths of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 106714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - n = -4, 9 = 3*h + 5*n + 43 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/12*(-24)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*c + 108 = 82*c - 96 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k - 12*k + 6 = 0. Suppose i - 6*i = k*g - 93, -8 = 2*g. Suppose 4*y - 2*j - 1 = i, -5*j = 15. Solve c - 12 = y*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*d**2 + 162 - 50 - 2*d**2 - 48 + 3351*d - 66 to n*d**2 + a + h*d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33.907 + 34. Let n = -2385.047 + 2385. Let d = m - n. What is d rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3568 - 3567. Let f be 0\/(-2) - (-1)\/2. Which is the nearest to 1\/8?  (a) y  (b) f  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1233 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11006820.\nAnswer: 2, 3, 5, 11, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -240, 2, -116, 7, -3, 0, -9 in increasing order.\nAnswer: -240, -116, -9, -3, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, p: 3, l: 6, u: 4, s: 5}. What is prob of picking 1 p and 1 l?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*c + 2 + 2*c + 10*c - 2*c**2 + 2*c**3 - c**4 in the form h*c**2 + g*c + a*c**4 + i + l*c**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6975*y**2 - 32*y**3 + 7*y**3 + 13*y**3 + 6975*y**2.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12671989 or -76031927\/6?\nAnswer: -12671989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1368 by 142.\nAnswer: 684\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -143, 2, -2, -6, -29.\nAnswer: -143, -29, -6, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h**4\/19 - 26*h**3\/19 - 70*h**2\/19 + 98*h\/19 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(45) + (sqrt(225) + (sqrt(225) - 1*sqrt(225)) + sqrt(225))\/sqrt(5))\/((sqrt(9) + sqrt(144))*1))*6.\nAnswer: 18*sqrt(5)\/5 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0294 - 0.1706. Sort -0.14, -5, q, -2 in descending order.\nAnswer: -0.14, q, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 16) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.491 times 5259\nAnswer: 2582.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.43 and -505.65.\nAnswer: -504.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 5*d = 22, -4*j = -4*d - 110 + 130 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.78 + 11.52. Let r = -4.7 - u. Let n be -10*(-18)\/1800*10. Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6850.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 117 and 96694?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4164483?\nAnswer: 3, 1388161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 2*q + 165 + 35 = 0, -4*g - 160 = q. Let h = g - -45. Solve -h*t - 10 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {p: 2, b: 1, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/3 - (12 + (-825)\/45))\/(-3). Which is the nearest to -8\/7?  (a) -0.3  (b) k  (c) 1\/7  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.11 - 4.89. Which is the nearest to o?  (a) 1  (b) 2  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 176104886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h**2. Let g(a) = -1. Let n(b) = 2 - 4*b - 6 + 3*b + 0. Let k(s) = -4*g(s) + n(s). Determine k(y(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 5. Let v be (-1)\/(-24)*5*-26. Let s = v + 23\/4. Is i bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 8*q**2 + 54*q + 3716. Calculate c(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 685*j = 677*j + 138328. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*l + 2*f + 120 = 37*l, -4*f - 177 = -3*l. Calculate the lowest common multiple of l and 1 - (-3)\/((-6)\/(-110)).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.83214 to two decimal places.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/3392136 and -45\/376904?\nAnswer: 3392136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 4 + 0)*(-12 + q + 12)*(-q + 3*q + 4*q) in the form l + k*q**2 + r*q and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 499257163?\nAnswer: 1039, 480517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*k + 47*k = 1200000. Round k to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -59.27 * 11611\nAnswer: -688183.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 - i)*(-2 + 2 + 4)*(-30 + 15 - 30)*(0 + 3 - 4) to v + g*i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - (4 + -26)) + 84 + -164.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, 4, -0.3, -7, -1\/7 in increasing order.\nAnswer: -7, -0.3, -1\/7, 0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24.640009244 + -24.64. What is n rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -127*i + 68. Let w(l) = 2*l - 15. What is -5*w(t) - y(t)?\nAnswer: 117*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 456 a factor of 74348362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 6.435345\nAnswer: 0.6435345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -9.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/4?  (a) -32  (b) -1\/6  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4613367377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 2*n = -82. Suppose n - 1 = 4*y. Let r(d) = d**3 - d**2 + 9. Calculate the lowest common multiple of y and r(0).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 + n + 3. Calculate the remainder when v(4) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 4605.132kg?\nAnswer: 4605132000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 6 = -5*k - 12, 2*g = -2*k. Let c = 12 - g. Let d = c - 5. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -83650, -83603, -83526, -83419, -83282, -83115, -82918?\n\"Answer: 15*c**2 + 2*c - 83667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.18 - 0.68. Let x = 0.0524 + -3.0524. Let c be -1*(-2 - 9\/3). Sort 3, x, c, k in decreasing order.\nAnswer: c, 3, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*i**2 + 11 - 11 + 107*i + 2*i**2.\nAnswer: -i**2 + 107*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -24 and -29019518?\nAnswer: 696468432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand k + 0*k + 2*k + (-3*k - 3*k - 1 + 5*k)*(259 + 186 - 51) + (2*k + 2*k - 6*k)*(-2 + 3 + 1) - 3 + 3 - 2*k.\nAnswer: -397*k - 394","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -14*b - 228. Let y be q(-16). Let l(s) = 31*s - 1. Let x(i) = -25*i + 1. Let g(w) = 3*l(w) + 4*x(w). Give g(y).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, -5\/3, 0.4, 2\/9, 2 in increasing order.\nAnswer: -5\/3, -2\/17, 2\/9, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -648 - 1555 - 36*b + 37*b**2 - 21*b**2 - 10*b**2 with respect to b.\nAnswer: 12*b - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 123 + 30. Suppose 3*c = 13*u - 14*u + 30, c = 5*u - 150. Are u and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 327*v + 1258 wrt v.\nAnswer: 327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5\/6*h**5 - 240 - 235\/2*h**3 + 175\/3*h**2 + 320*h - 20*h**4 = 0 for h.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -4. Let n = -13 - 8. Let f = n + 41. Solve b*t = 8*t - f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -135, -217, -297, -375?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of -i**6\/120 - 3*i**5\/80 + i**4\/16 + 11*i**3\/24 + 3*i**2\/4 + i + 12. Let t(j) = 0. What is j?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000772894 rounded to 7 dps?\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.1 + -6. Let y = 1\/2 + -5\/4. Which is the closest to 0.2?  (a) -2  (b) j  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x - 9. Let w(v) = -v + 4. Let d(g) = 14*g + 359. Let a be d(-26). Calculate a*w(j) - 2*b(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 1  (b) 2\/3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (114\/76)\/((-60)\/(-4)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 3*a - 5 = 0, 2 = 5*t - 2*a + 6*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 7, q: 2, g: 1, t: 4}. What is prob of picking 2 u and 1 g?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -116, -965, -2128, -3761, -6020?\n\"Answer: -26*o**3 - o**2 - 664*o + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15755481 and 22372.\nAnswer: 5593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31 + 31. Suppose f = 3*x - 21 + 3. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -176758 + 88382 + 88376 + 30*f**2.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f = 896*y - 901*y - 4, 4*y - 9*f = 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 391\/383483 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -14*x**2 + 3*x + 2. Let b be q(-1). Let h be 1*(-5)\/(b\/(-18)). Let f(z) = -z**2 - 5*z + 4. Calculate f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**3 - 2*m**3 + 3*m**3)*(-14*m**2 + 6*m**2 + 9*m**2) - 18*m + 57*m**5 + 16*m + 98*m**5.\nAnswer: 153*m**5 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -42341 + 12?\nAnswer: -42328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 180 + -68. Suppose 3*j + 70 + 314 = 0. Let c be (2\/4)\/((-4)\/j). What is the greatest common divisor of t and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35382.78231 rounded to the nearest ten?\nAnswer: 35380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 49 + -45. Suppose 0 = -u*q + 4*n + 240 + 304, 3*n = -q + 144. What are the prime factors of q?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/(-2) + (-578)\/(-68))\/(-2). Let x(b) = -11*b**2 - 4. Let i(g) = 12*g**2 + 5. Determine u*i(l) - 5*x(l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -119632292.\nAnswer: 35889687.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29 - 26. Suppose 3*b + 62 = 4*r, -92 = 5*b - 4*r + u*r. Which is smaller: b or -35\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 + 8*h + 20. Let p be l(10). Solve -a - 4*i - 9 = p, 5*i - 10 = a + 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -18*c**2 + 5*c + 9 + 16*c**2 + 0. Let a(s) = s**2 + s. Let o(v) = a(v) - x(v). What is the units digit of o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 6 - 46. What is the units digit of (8\/2 - 2) + f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/45 + (0 - (-5515)\/(-300)). Let g = x + 16. Calculate the common denominator of g and 34\/13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -44 + 17. Suppose -8*q - 4 = -i*q. Let t(x) = x**2 - 2*x - 6. Let y be t(q). Solve -c = -y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 443334.3ml?\nAnswer: 443.3343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 - 1)*(192 + 189 - 3*z - 367).\nAnswer: -6*z + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 78490 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) -4  (c) 1663  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 4*o**3 + 33*o**2 - 26*o + 1. Calculate d(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4*z + 220 = 0. Suppose -239*w - 458 = 20. Put w, z, 0, 5 in ascending order.\nAnswer: z, w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 0*h - 10\/9*h**4 - 2\/3*h**2 + 14\/9*h**3 + 2\/9*h**5.\nAnswer: 2*h**2*(h - 3)*(h - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence etvv when four letters picked without replacement from eetevvtbel.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -190167\/1496 + -1035\/136. Which is smaller: -136 or k?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -135.7101 + 136.7. Let k = s + 0.0101. Sort -1\/6, -1, k, 4.\nAnswer: -1, -1\/6, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2259 + 3351. Is z a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3*o = 455, -2*p + 109 = -2*o - 73. Let t = 91 - p. Suppose -5 = 5*g + 3*b, -g + 7 = -5*g - 3*b. Solve -g*f + t*f = -4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 8.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 177566 less than 1?\nAnswer: -177565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1111151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 73, 51, 27, 1, -27, -57, -89?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - 2) + 16 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*o**2 - 2 + o**3 + 2*o**2 + o)*(3*o - 20*o + 46*o) as t*o**3 + c*o**2 + n + h*o + u*o**4 and give c.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + s**2 - s + 183. Let f be k(0). Let h = f + -550\/3. Which is bigger: 71\/2 or h?\nAnswer: 71\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*x**2 + 0*x**2 + 3*x**2)*(-13 + 9 - 14) to o*x**2 + l + z*x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000058254546 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2552145?\nAnswer: 3, 5, 29, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 3*a - 5. Let m be z(5). Suppose 6*b = 11 + 19. Solve -b*w + 2*q - 13 = 0, -10*q - 8 = w - m*q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(((-225)\/27)\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: (-8)\/80 - (-7 + ((-306)\/(-20))\/(-3))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*f - 50 - 18 = 26*f. Solve 5*d = 3*a + f, -d - 5*a - 12 = 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 4*h**4 + 840*h**3 + 38624*h**2 = 0.\nAnswer: -142, -68, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 4 + 26. Suppose -3*p + 0*p = z. Let k be 41 - (-3930)\/(-96) - 3\/48. Which is the nearest to p?  (a) -1\/3  (b) k  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29974 times -645?\nAnswer: 19333230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-27)\/36)\/(2\/(-8)). Let f(c) = 59*c**2. Let h(v) = -20*v**2. Calculate g*f(p) + 8*h(p).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5d5e3 (base 15) in base 6?\nAnswer: 10221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -14947800 rounded to the nearest 100000?\nAnswer: -14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 445*u**5 + 873*u**3 - 679664*u.\nAnswer: 8900*u**3 + 5238*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 4*w + 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1618693, -6474734, -14568135, -25898896, -40467017, -58272498?\nAnswer: -79315339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + -16. Let m = -36 - -16. Let q = z - m. Is q > -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -2*h - 223 - 227 + 450. Let x(q) = -6 + 5 + 21*q + 1. Give w(x(o)).\nAnswer: -42*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53001 is divided by 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 + 15*z - 50.\nAnswer: 5*(z - 2)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -31 - ((36 - 26) + -17).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1717, -3422, -5129, -6838?\n\"Answer: -m**2 - 1702*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 34*s**3 - 4*s - 3. Let n(a) = 32*a**3 - 3*a - 3. What is 4*n(t) - 3*r(t)?\nAnswer: 26*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -179 + 27*y**2 + 186 + 0*y**2 - 39*y. What are the prime factors of x(8)?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*y - 2*y - 2*y)*(-3*y + 0*y + 4*y + (y - 2*y + 2*y)*(-3 + 1 + 3) + 0*y - 2*y - y)*(y**2 + 4*y**2 - y**2).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/((-10)\/8))\/((-92)\/230).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 o when three letters picked without replacement from {o: 11, w: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 2*n**2 - 30 - 5*n + 3 + 9 + 13 - 3*n. Let w(c) = -c. Determine s(w(d)).\nAnswer: 2*d**2 + 8*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 25 * -1.43.\nAnswer: -35.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2040 (base 6) to base 2\nAnswer: 111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (2 - -6) - (-12 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f**2 - 145*f + 1935. What is r(-84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*f**2 + 27*f + 0*f**2 - 29*f to w + d*f**2 + n*f and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 2:50 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 - f - 30. Let x be h(-6). Suppose -x*d = -16*d. Suppose k = 5*k. Solve d*w + 4*w = k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from wrwwwwjnwdh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/6 and -1\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -21d6 - -5d84?\nAnswer: 3b9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47115254?\nAnswer: 2, 3067, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3*c**2 - 2*c + 1. Let f be k(1). Let a be (10\/8)\/((-424)\/32 + 13). Sort f, -1, a in increasing order.\nAnswer: a, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -18*d**3 - 27*d**2 + 96*d - 27. Let a(g) = -3*g**3 - g**2 - g + 1. Let t(z) = 3*a(z) - v(z). Suppose t(h) = 0. Calculate h.\nAnswer: -5, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 + 2*b - 5. Give p(8).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of m**5\/20 + m**4\/12 + 5*m + 6. Let w(a) be the first derivative of q(a). Find the third derivative of w(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67321630 rounded to the nearest ten thousand?\nAnswer: -67320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*b - 2*b. Let u(l) = 5*l. Let z be u(-5). Let a = z + 281\/11. Are a and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-18)*(-1)\/(-1)*2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 218*u = 79*u + 2081 - 10107 - 1009 for u.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*c**3 + 2*c**3 + 3*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -8. Let y be (d - 48\/(-22))\/1. Let r = 6.58 - -1.42. Which is the biggest value?  (a) -2  (b) r  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence unqk when four letters picked without replacement from nbbbkbnbkbukqn.\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1414 - -575.1414. Let i = 574 - l. Which is the nearest to i?  (a) -1  (b) 2  (c) -0.2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 13*c**2 + 2*c + 1. What is the units digit of d(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 43.1 + -39. Let r = v - -3.5. Round r to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.09 * 5.46.\nAnswer: -0.4914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 1:58 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1257 divided by 419\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*x - 2*x = -780. Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 - -2 - 0)*2\/(-1). Solve 5*o = 3*h + 5, -n*h + 3*o + 3 = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 947*t**2 - 1057*t**2 - 1196*t**2 - 1057*t**2.\nAnswer: -2363*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 8*u**2 + 135*u - 17. Let b be g(-17). Determine k, given that 2\/3*k**5 - 6*k**2 + 10*k**3 + 0*k - 14\/3*k**4 + b = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 4*b - 11*b. Differentiate 2 - 31*j**4 + b*j**4 + 23 with respect to j.\nAnswer: -108*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 279*v - 63. Let x(k) = 9*k - 2. Let y(m) = 2*h(m) - 63*x(m). Let i(u) = -3*u. Calculate i(y(j)).\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 514073?\nAnswer: 7, 23, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 3102222?\nAnswer: -3102223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of -25*c**2\/2 + 193*c + 138. Is 6 a factor of v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 15) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -8.5 and -472.\nAnswer: -480.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 76230\/(-16335)*96\/14?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2253*-1\nAnswer: -2253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1031 (base 6) in base 11?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 469 is divided by 229?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32320 and 232820352?\nAnswer: 6464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-8\/9)\/c**10)\/(c\/(c**(-1\/5)*c)*c**(4\/19)))**(-49) assuming c is positive.\nAnswer: c**(473389\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = 3*q - 27. Let g be -2 + 4*(-2 + 3). Suppose 19 = g*i - q. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*t - 1 + 176*t + 166*t + 466*t - 11*t - 1.\nAnswer: 775*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2726 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: What is the lowest common multiple of 40 and 144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 8, h: 5, v: 3}. What is prob of picking 2 h?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 0. Suppose -5*k - 137 = -5*j + l*j, 241 = 5*j - 2*k. Let x be 686\/28*4\/14. What is the highest common divisor of x and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -44*j**3 + 2*j**2 - 2. Suppose -5*f + 4*s + 27 = 0, 0 = 2*f - 4*s - 5 - 13. Let c be i(f). Is c\/(-24) - 2\/(-12) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -38\/333 + -73\/333. What is the fifth biggest value in -4, h, -5, 1, -12.6?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7408*k + 972 = 7444*k for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 4*c + c + 16, 5*c - 8 = -3*n. Solve 0 = k - n*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -64139040 divided by -1470\nAnswer: 43632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -11346513.276 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 21565 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: Let v = -18 + 23. Suppose 5*l - 33 = -3*b + 5*b, v*l + 37 = -3*b. Let y = 19 + b. Solve y*p + 0*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3460151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 4.1?\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.9 - 6.1. Let d be 24\/(-12)*6\/8. Which is the second smallest value?  (a) d  (b) 5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-3*(sqrt(52)\/sqrt(4) + sqrt(13) + sqrt(13)) - 1*(sqrt(13) + -1)))**2*3.\nAnswer: -960*sqrt(13) + 62448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 42*w**2 - 50*w + 179. Is s(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-3\/8)*w*w)**34*(w*(w\/w**(-2\/19))\/w)\/w**16 assuming w is positive.\nAnswer: w**(7589\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -532 (base 7) to base 12.\nAnswer: -1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*l - 11*l - 720 = 0. What is the highest common factor of l and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, 22, 57, 112, 193?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)*4 + sqrt(21))\/sqrt(3)*2 - ((1 + sqrt(7))*3*-4)**2.\nAnswer: -1152 - 278*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -140655 (base 8) to base 16.\nAnswer: -c1ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 4, 1, 843\/1100, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 2:59 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*q + 80*q = 143*q + 1352 for q.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -2*u. Suppose -7*v + 9*v = u. Suppose -3*k + v*k + 24 = 0. Calculate the remainder when 29 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 4*i - 60 = 0. Let v = -17 - i. Let l be 7\/(-12) + v\/(-8). What is the second smallest value in l, -1\/4, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ebkbe. Give prob of sequence eeb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((285\/5)\/57)\/(35*-3*4\/(-10))?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 220607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -4806236.3 to the nearest 100000.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.8245406 millimeters?\nAnswer: 0.08245406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*s - 43*s - 300 = 0 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/38 + (-24)\/228. Let p(o) = o**3 - 5*o**2 - 6*o + 3. Let u be p(6). Suppose -u = -2*j + j. Solve v*c - j = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36108388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 2 p when four letters picked without replacement from {c: 1, j: 4, s: 3, p: 12}?\nAnswer: 132\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-30)\/120 + (-2)\/(-8). Sort 5, 6, s in increasing order.\nAnswer: s, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2*v - 6. Let q = -15 - -8. Is t(q) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -10.1, -19, 1\/10, 7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 996 - 768. What is the remainder when b is divided by 81?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -6\/5, -0.4, 10\/3, -235, 0.1?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.12?  (a) -71667  (b) -27  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of -11*c**4\/2 + 19*c + 7. What is the first derivative of p(x) wrt x?\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 10:10 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -5*w**3\/8 - 717*w**2\/8 + 1157*w\/8 - 435\/8 = 0.\nAnswer: -145, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51645*h = 51679*h - 272. Calculate the remainder when 1105 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 5 = 5*h, d + 3*h = 5 - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 + 7*v**2 - 3*v. Let u be q(7). Let l = 12 - u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 279367533?\nAnswer: 3, 31040837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2. Let l(f) = f + 4. Determine -5*k(q) - 3*l(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 14*z**5 + 13945*z**4\/2 + 75457*z**3 + 104578*z**2 - 180447*z - 13149\/2 = 0.\nAnswer: -487, -9, -3, -1\/28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1041 (base 8) to base 3\nAnswer: -202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9053989um to nanometers.\nAnswer: 905.3989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 - 6. Let w = 16 - k. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*z**2 - 4*z**2 - 160*z**3 + 822*z**3.\nAnswer: 662*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15234 divided by -3.\nAnswer: 5078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 3*s**2 - s - 4. Let k be 3\/(-4) + 105\/28. Calculate l(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/3*p**2 + 1\/3 + 0*p = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, w: 2, z: 1, m: 1, d: 1, f: 1}. Give prob of sequence fm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2 + 5*b - 60. Give w(10).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**2 + 5*u**2 - u**2)*(2 + 2*u - 2) - 2 - 353*u**3 - 32091*u**2 + 64188*u**2 - 32095*u**2.\nAnswer: -351*u**3 + 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -21816158252 from -0.4.\nAnswer: 21816158251.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (-112)\/84*-12.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-10) - (290\/(-150) + 1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (7 - 3) + -9 + (1 - 99 - (-67 - -68))\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/2)\/((-9)\/(-24)). Suppose t + 6 = j*t. Suppose 4*g - 1 = 3*d - 11, 10 = 4*d - t*g. Calculate the remainder when 2 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1132612, -1132417, -1132222, -1132027, -1131832, -1131637?\n\"Answer: 195*n - 1132807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 3 m when four letters picked without replacement from wmwmt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (60\/(-16)*-2)\/(12\/(-32)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - (0 + 2) - 1. Which is the closest to 1?  (a) -4  (b) -1\/3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/10 - (-4)\/(-10). Suppose y*j - 2*j = -170. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 26*y**5 - 22*y**4 + 14*y**3 + 6*y**2 + 8. Let m(d) = -d**5 - d**4 - d**2 - 1. Let z(x) = -l(x) - 8*m(x). Solve z(c) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -4*f - 4*t + 6, 6 = -5*f - t + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40*((-21)\/(-1))\/((-1190)\/(-68)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 5*s + 2*s)*(-550 + 136 - 668 + 124).\nAnswer: -8622*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -111059462 + 6*m**3 + 111059462.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -4*a**2 - 155*a + 72. Let i be c(-39). What is the third smallest value in 3, -2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -154*a**2 + 2*a + 137?\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1431 + 1438. Suppose 0 = -2*z + 4*z - 28. Suppose 0 = -3*k + 10 + z. Calculate the least common multiple of k and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -10 - (114 - 48 - 76).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.81 minus 1.706?\nAnswer: -2.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 381645 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -1. Let u(n) = -10*n - 3. Let x(v) = -4*c(v) - u(v). Is x(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*o**2 - 2*o + 2*o)*(4 - 1 + 0)*(-o - 2*o + 0*o) + (0*o**3 + 2*o**3 - o**3)*(5 - 4 + 0) in the form z*o + v*o**3 + t*o**2 + u and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 2*z**3 + 4 - 3)*(2*z + 3*z - 4*z) + z**4 + 0*z**4 - 2*z**4 + (-2*z**3 + 2*z**3 - z**4)*(-3 + 2 - 1).\nAnswer: 3*z**4 + 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10451 - 146383\/14. Let c = 1969\/976 - -11\/244. Find the common denominator of c and p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6895 + 7101. What is the remainder when 811 is divided by m?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 5:58 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 21*n**3 + n**2 - 2*n - 24944.\nAnswer: 63*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 1) + (12 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 179.894 take away -0.4?\nAnswer: 180.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -3, -8.\nAnswer: -8, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-27)\/1242)\/(50\/81650).\nAnswer: -71\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 5. Solve a = -a + b*s + 2, -5*a + 16 = -2*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 27 = -21. Let k = 8 + -3. Calculate the remainder when j is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, 52, 121, 216, 343, 508, 717?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 + 3 = 2*w + g, 3*w + 21 = -3*g. Let d = 7 + -32. Put -0.4, d, w in increasing order.\nAnswer: d, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4653 is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 665241 (base 8) in base 15?\nAnswer: 46520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppqpqokoqo. Give prob of picking 2 k and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1682977 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3714\/2808 + 1 + 2\/(-8). Let k = s + -19\/9. Is k != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, n: 4}. What is prob of picking 2 n and 2 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 133259899 to the power of 1\/2, to the nearest integer?\nAnswer: 11544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)\/sqrt(4))\/sqrt(5) + (sqrt(2) - (sqrt(6)\/sqrt(3) + -2)).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*a = -4*s - 76, 9 = -4*s + 410*a - 407*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a6a (base 12) to base 11.\nAnswer: 2495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 181.8 - 35.8. Let r = 146.000061 - n. Round r to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 489*a + 147179. What is g(-301)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -1\/6  (c) 0.27  (d) -60  (e) -0.3  (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/5)\/((l**9*l)\/l))\/(l**(-6)*l**(4\/7)) assuming l is positive.\nAnswer: l**(-118\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95)\/((sqrt(250)\/sqrt(5))\/sqrt(10) + sqrt(5)) + (1*(sqrt(114) - sqrt(114)*-2) + sqrt(114))\/sqrt(6) + 2)**2.\nAnswer: 18*sqrt(19) + 1555\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425)*-2 + 3 + 3)**2.\nAnswer: -120*sqrt(17) + 1736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 111+66\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5965 and 35.\nAnswer: 41755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 976641 is divided by 44387?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + 2*b - b)*(-b**2 + 5*b**2 - 3*b**2) + 21*b**2 - 7*b**2 - 10*b**2 + 2*b - 2*b**3.\nAnswer: -4*b**3 + 4*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2969723 is divided by 989897?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 102 - 103. Put a, 20, 3 in increasing order.\nAnswer: a, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112511.066 plus 0.4?\nAnswer: 112511.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1001122200 + 1112?\nAnswer: -1001121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + -10103311?\nAnswer: -10103300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 13116.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 15 - 5) + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 167.5028 litres to millilitres.\nAnswer: 167502.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2457 - -2470.79. Let a = -0.21 - d. Let p = a - -12. Which is greater: -2\/3 or p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(9) + -2*sqrt(9))\/sqrt(3) + (5 + (sqrt(3) - sqrt(3)*2))**2.\nAnswer: -11*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l - 11. Let q(m) = 2*m**3 + 4*m**2 + 5*m + 4. Let z be q(-2). Let h be t(z). Calculate the common denominator of 16\/7 and 2 + 95\/2 + h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-11)\/(99\/10) + (-300480)\/(-216). Are 1392 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21858979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 319.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7463574329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 14\/35 + (-5)\/(25\/(-63)). Does 9 divide d + -1*(-4 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -281352800 rounded to the nearest 1000000?\nAnswer: -281000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5785*b = 5766*b + 171 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -1465021?\nAnswer: -1\/1465021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -261*k - 295*k - 48*k + 1 + k. Is t(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llglggll. What is prob of picking 2 g and 2 l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -2*p**2 - 20*p - 6. Let y be w(-6). Let u = 69 + y. Let z = -77 + u. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5317 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 27*l**2*r**2*t**2 - 78910*l**2*r*t**2 + 190*l - r**2*t**2 + 4196*r**2 wrt l?\nAnswer: 54*r**2*t**2 - 157820*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-three eighths of a centimeter?\nAnswer: 28750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12249 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*s + 1953 = -40*s - 403 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86411 is divided by 10325.\nAnswer: 3811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/55, -2, -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -153\/76 + 24\/19. Which is the biggest value?  (a) s  (b) 5  (c) -4  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*o - 288 = -34*o - 295 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -2*w - 4*h - h, -3*h = -3*w + 69. Let v = -16 - 1. Let g = v + w. Solve c - 5*c + g = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62516997 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -793 + 817. Calculate the highest common divisor of x and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.3, 0.5, 4, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 AM and 3:43 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i**3*n**2 + 389*i**3 + 607*i**2 - 21*i*n**2 - 11546*i*n - n**2 + 1 wrt i?\nAnswer: -12*i*n**2 + 2334*i + 1214","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u. Let t(n) be the third derivative of 1\/8*n**4 + 0*n + 0*n**3 - 4*n**2 + 0. Determine t(x(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10800 - -124307. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 434807?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -231*w - 1. Let o(y) = -2*y. What is v(o(d))?\nAnswer: 462*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -7*g + 2. Calculate x(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.201, 0.6, 819 in descending order.\nAnswer: 819, 5, 0.6, 0.201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/20260 and 61\/2026?\nAnswer: 20260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 72877683?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7.47 + 7.1. Let p = y - -0.67. Are 0.2 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 17 = 3*t - 8*t, 0 = b + 2*t + 2. Solve -7 - b = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3*z - 2716 = -2*q, 0 = -2*q + 3*z + 5369. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29428231?\nAnswer: 7, 83, 50651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.14406482 to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together 76141 and -19044.\nAnswer: 57097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 550 = -10*c - 3*b, 0 = -2*b - 10. Suppose 4*d - 1 = -5, -f - 71 = -5*d. Let h = f + c. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1491647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7224 and 640411212.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.016328 - -0.016328. Let k be ((-4)\/((-16)\/(-18)))\/(-6). What is the closest to 2 in k, 0.3, -2, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 8*k**2 - 2*k + 3. Let y = -38 + 54. Suppose 2*c - c = y. What is the remainder when s(2) is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 - 7*m - 6. Let l be (-4)\/14 + 8\/28. Suppose 2*r + l*r = 16. What is the units digit of y(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 13*r**2 + 2*r - 2. Let d(n) = -n**3 - 3*n**2 + 8*n - 8. Let h be d(-5). Give i(h).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 - t. Suppose 10*z = 10 - 0. Let w(j) = -8*j**2 + 8*j. Calculate z*w(r) + 10*s(r).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 414246*b + 397795*b - 212655*b.\nAnswer: 599386*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o + 2*o - 4*o)*(-5*o + 5*o + 2*o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4.2304 times 3\nAnswer: 12.6912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1479)\/99 + (8\/(-22))\/((-11016)\/(-1836)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - j)*(1 - 1 - j**2) - 5*j**3 + 5*j**3 - 2*j**3)*(16*j - 9*j + 22*j).\nAnswer: -29*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = 3*c - 31, 1784*c + 8 - 1 = 1783*c - 5*f for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1308 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2794.\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 560761369.\nAnswer: 7, 347, 230861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -20. What is the least common multiple of (-30)\/4*20\/y and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 20*h. Let k be v(-6). Let z be 2*1 - (-192)\/k. Let y = 3.9 - -0.1. What is the third biggest value in z, -7, y?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 127*y**3 + 4*y + 3. Let f be m(2). Suppose 0*d + f = 13*d. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1019, -1027, -1035, -1043?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 356 divided by -89?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**4 - 1 - d**4 + 2)*(-35708 - 33123 + 75292).\nAnswer: -12922*d**4 + 6461","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of -d**2 - 2. Let o(i) = -3*i. What is k(o(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.032, 5, -842, 8, -2 in descending order.\nAnswer: 8, 5, -0.032, -2, -842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of -f**8\/20160 + f**7\/840 - f**6\/80 + 3*f**5\/20 - 3*f**2. Let o(c) be the third derivative of t(c). Let o(g) = 0. What is g?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-4*(sqrt(704) + sqrt(704) + -1) - (sqrt(704)*2 + 2))**2.\nAnswer: -960*sqrt(11) + 211212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of p**3 - 3*p**2\/2 + 33*p. Let u = 11 - 8. Determine h(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (897\/460)\/39*-4*115?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25)\/(-50)*124\/(-1519)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 324 = -22*k + 104 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6576 + -6573. Which is the fourth biggest value?  (a) 0.5  (b) q  (c) 174  (d) -2\/15  (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3184104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1152\/(-7296) + (-195)\/(-152). Factor 0*r - 3\/8*r**4 + 3\/2*r**3 + 0 - n*r**2.\nAnswer: -3*r**2*(r - 3)*(r - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - 2*y - 4. Let h(j) = 2*j**2 + 3*j + 5. Suppose -6*t = 39 - 117. Let c = -9 + t. Give c*g(k) + 3*h(k).\nAnswer: 2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3569724*g**3 - 21113*g**2 - 72*g - 2 wrt g.\nAnswer: 21418344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/55 + (-106)\/(-22). Suppose v - 13 = -w. What are the prime factors of (44\/16)\/(2\/v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 304*c + 3124 = -132*c + 152*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + 3\/30 + 2. Let h(c) be the first derivative of -1\/8*c**4 - 1\/6*c**3 + j*c**5 + 1\/4*c**2 + 0*c + 2. Solve h(q) = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/735 and -41\/3682.\nAnswer: 386610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -9 + -3 + 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 278 + 0.02\nAnswer: 278.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.3 and 173529705.7?\nAnswer: 173529705.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -954580*-10\nAnswer: 9545800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02653627 rounded to 4 decimal places?\nAnswer: 0.0265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 104.56 rounded to zero dps?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1.9, -62, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 184 - 92. Suppose 4*w + 5 = -g + 49, 5*w = -3*g + 97. What is the remainder when i is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/((h**(-11)\/h)\/h*h)))\/(h**(-1\/13)*h)*h*h\/(h\/(h\/((h\/(((h\/h**4)\/h)\/h))\/h)))*h\/(h\/((h**(-8)\/h)\/h))*h*h)**(-1\/27) assuming h is positive.\nAnswer: h**(311\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 83720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1725224 or -1725245?\nAnswer: -1725224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 227\/(125304\/(-368))*123\/(-8).\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165756.893 rounded to the nearest 1000?\nAnswer: 166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.8563 + 4474355341.\nAnswer: 4474355342.8563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.2, 3, -61, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (213\/(-4)*1)\/(3\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 2*n - 16 = 0. Let x be (-25)\/(-3) + n\/12. Suppose -4*y + x = -7. Solve -14 = -3*s + 5*m, -3*s - y = -7*s + 3*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5213 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18134.\nAnswer: 2, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(4212) + (0 + sqrt(4212))*5)**2.\nAnswer: 151629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 + 2*l**2 + l - 4. Let x be d(2). Let z be (10\/(-20))\/(x - (-21)\/12). Let m(f) = 22*f**2 + 3*f - 3. What are the prime factors of m(z)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 + 8*y - 42. Determine k(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.016 and -223.1194.\nAnswer: 3.5699104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together 81803425.087 and 0.59.\nAnswer: 81803425.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-3)*(1 + -10). Let w(k) be the first derivative of -1\/3*k**d - 2 + 0*k + 0*k**2. Let s(q) = 2*q. Give w(s(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20940 and 120.\nAnswer: 41880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -279*t**2 - 11294 + 11294 to the form c + m*t + p*t**2 and give p.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, -369, 0.6, -3 in increasing order.\nAnswer: -369, -23, -3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -4*u**3 + 3*u**2 + u + 3. Let y be s(-4). Find the third derivative of -13*n**2 + 303*n**3 - y*n**3 - 4*n**4 wrt n.\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 626342005 by -4.\nAnswer: -626342005\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92 = 27*a + 151 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the third derivative of -7*q**6\/120 - 2*q**5\/5 - q**4\/2 + q**3\/2 - 6*q**2. Let p(c) be the first derivative of i(c). Factor p(a).\nAnswer: -3*(a + 2)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-8)\/(-6))\/((-4)\/(-108)). Suppose 5*m - z = -4*m. Suppose 2*i = m*i - 746. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-32))\/((-748)\/(-1683)*(-3)\/(-16)*-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4256 divided by -5.\nAnswer: -4256\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - 1.765271.\nAnswer: -1.565271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) 0.3  (b) 0.4  (c) 1\/11  (d) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1293?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6870782 to the power of 1\/2, to the nearest integer?\nAnswer: 2621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88759, -177512, -266265?\nAnswer: -355018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o + 6 + 14*o**3 - 8 + 2.\nAnswer: 14*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-2\/9))**39)**39)**22 assuming b is positive.\nAnswer: b**(-7436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -0.06  (b) 10  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60046 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*o**2\/5 + 3744*o\/5 - 3738\/5 = 0.\nAnswer: 1, 623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*b + 4*b - 3*b**2)*(-225*b + 7*b - 21*b) - b + b - b**3 in the form n*b**3 + f + u*b**2 + i*b and give n.\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s - 739. Let u(g) = -10. Give -6*u(h) - z(h).\nAnswer: -h + 799","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -246 + 200 = -4*h + t, t = -2. Which is smaller: h or 13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 457*y**2 - 11034*y + 2378. Give j(-480).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 23770470 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 0.019.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 539527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 84963*v*w + 255071*v wrt w?\nAnswer: 84963*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 7484030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-141780)\/(-272))\/139*(24\/5)\/3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2912 - -3278. Calculate the least common multiple of r and 30.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a = 38278 + -14627. What are the prime factors of a?\nAnswer: 67, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z + 1. Let u be b(3). Let r(i) = -5 - i**3 - 3*i**2 - 3*i - u*i - 3*i**2. Let p be r(-5). Solve 5*y - 2*a - 7 = 0, 7 - 1 = p*y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 3*w + 31, 2*w - 3*w = 4*k + 22. Let z = w + 3. Let y be (-3)\/4*3\/(-9). Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15 - -11. Let k be b\/6 + 7\/(-21). What is the tens digit of (-13)\/(k + 0\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -4\/7, 2, -65, -2 in increasing order.\nAnswer: -65, -2, -4\/7, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ulgu when four letters picked without replacement from {n: 3, l: 2, g: 4, f: 3, q: 4, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-418)\/637 + 2790\/68355.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 348571183 or 348571182?\nAnswer: 348571182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -4*q**2 + q + 2. Let z(t) = 3*t**2 - 2*t - 1. Let v be (339\/452)\/(3\/12). Determine v*z(j) + 2*u(j).\nAnswer: j**2 - 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = 12*g - 67 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -54 - -38. Let u be 1763\/(-28) - 4\/m. Let p = u + 63. Are 0 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 18*v**2 + 21*v + 7. Determine u(17).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6803\/5 - 1353. Let o(m) be the first derivative of -f*m**3 - 4\/5*m - 32\/25*m**5 + 3 + 28\/5*m**4 + 19\/5*m**2. Solve o(i) = 0 for i.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeoty. Give prob of sequence oet.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 374 and 323983.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3087\/39 - 12\/78. Let m = v - 47. Calculate the lowest common multiple of m and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16958\/22379)\/122*230.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 + 5*y - 6. Let v be p(3). Suppose -i + 2*h - 51 = -v*i, -2 = h. Is i greater than -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(2\/(-23 + 1)). Suppose l - 13 - t = 0. Let b(w) = 72*w**3 - 2*w**2 + 3*w - 2. Calculate the remainder when b(1) is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41182198487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 4*f**2 - 9*f. Let m(w) = 2*w - 1. Let q(g) = -g**2 + 14*g - 7. Let d(k) = 42*m(k) - 6*q(k). Give y(d(p)).\nAnswer: 144*p**4 - 54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z**3 + z**2 + 11*z - 22. Calculate the remainder when 3039 is divided by j(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 + -2 + -1)\/(-3). Let c = 10 + r. Calculate the lowest common multiple of c and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -3474  (c) -295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g + 48 = 9*g - 2*p, g - 12 = -4*p. Calculate the least common multiple of g and 1 + 1 + (9\/3 - -239).\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 303 + 16 = 3*w + 4*q, -2*w + 209 = -q. What is the remainder when w is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -15, -63, -109, -153, -195, -235?\n\"Answer: d**2 - 51*d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6225844 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12375791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -39.5388 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48223 (base 10) to base 8.\nAnswer: 136137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (71*o - 135*o + 84 + 65*o)*(-4*o - 3 - 4*o + 7*o + (0*o + 4*o - 2*o)*(-4 + 0 + 2)).\nAnswer: -5*o**2 - 423*o - 252","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 25, 40, 55, 64, 61?\n\"Answer: -z**3 + 6*z**2 + 4*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -3 + (-6 + 5 - 5) + 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -715 divided by -715?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = -w + 2 + 1, 2*w + x + 6 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 92502*r**3 + 464*r**2 - 341362563 wrt r?\nAnswer: 277506*r**2 + 928*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 218 - -234. Let i be s\/10*(-5)\/(-1). Is (i\/(-4))\/(3\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 460817711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 4 = 3*r, -9*t - 2031*r = -2029*r + 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of -47583*l**2\/2 - 3*l + 3. Let u be o(-5). Suppose 3*f - u = 1322088. What is f rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -5*w**2 - 49*w + 14. Let x be i(-10). Solve -x*b - 19 = -7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -388, -7, 1020, 3011, 6284, 11157, 17948, 26975?\n\"Answer: 53*b**3 + 5*b**2 - 5*b - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3990 and 254030?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 168578829 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of k**4\/24 + 9*k**2. Suppose -4*n + 2*d = 8, -22*n - 3*d - 24 = -19*n. Give x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -92.\nAnswer: -92, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 530729617?\nAnswer: 11, 199, 242453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 2*u = 3*u, -4*f - 4 = -5*u. Suppose -f = -0*w - 2*w. Suppose 3*h = w*s - 12 + 1, 0 = -3*s + 3*h + 21. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2644700 bigger than -2644678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -539 - 806 = -5*g. Let v = -300 + 567. Is g at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -11.1 and -1426.\nAnswer: -1437.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 181153?\nAnswer: -5\/181153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**4\/5 - 8*m**3\/5 - 4*m**2\/5 + 24*m\/5 + 18\/5.\nAnswer: 2*(m - 3)**2*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 375 (base 13) to base 2\nAnswer: 1001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/2)\/b)\/b**4)\/(b**(1\/5)*b*b\/b**(2\/3))*((b*b\/b**0)\/b**5)**21 assuming b is positive.\nAnswer: b**(-2071\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*((-6)\/(-2))\/3. Which is bigger: j or 3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -29104, -29183, -29316, -29503, -29744, -30039, -30388?\n\"Answer: -27*f**2 + 2*f - 29079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3940261 or 3940213?\nAnswer: 3940261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.48190679 rounded to 1 decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -34*z - 220 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 + 11*m + 2. Let d be g(5). Suppose -d = -2*b - 5*b. Suppose -v + 64 = b. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -5*-58\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2370\/(-60))\/79)\/((2\/(-48))\/(-1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 673712 and 3328.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97687 is divided by 87.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.01 - -29.99. Let h = 29.99999497 - z. Round h to 7 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b + 6*b = 2*b. Let p(s) = 2*s - 15. Let o be p(8). Let r be -9*o*(-30)\/27. Solve 2*z + r = -b*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -93281, -186658, -280033, -373406?\n\"Answer: z**2 - 93380*z + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71827 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-54)\/(-75)*20 + -14. Let h = -0.01 + 0.05. Let t = 0.16 + h. Which is the closest to 1?  (a) 0.5  (b) v  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16 - 23. Let a = 1 + 4. Suppose a*y - 7*f = -3*f - 28, 5*y + 55 = -5*f. Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -137891919 by -1.\nAnswer: 137891919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2\/7, -34, -2, -603?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - 82*y**2 - 543*y + 24423. Give t(85).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 2 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(162)*3)**2.\nAnswer: 36450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7 - 3.635985547491?\nAnswer: -2.935985547491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t = t. Suppose 3*i + 0*i - 4*z - 313 = t, 0 = -i + 5*z + 97. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(49) + sqrt(441))\/sqrt(7))**2 + -1*sqrt(700) + (sqrt(7)*-1 - sqrt(7))*-2 + -1.\nAnswer: -6*sqrt(7) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1094.67 + 1093.870008. Let h = 0.8 + j. Round h to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/11, -3\/4, 7\/6, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/7  (b) -563.1  (c) -19  (d) 5  (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 430 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 20\/9 and 83\/442?\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5861792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.139 + -0.119. Let f = x + -0.1. Let o = f - -0.08. Which is the smallest value?  (a) 2\/7  (b) -0.3  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mpppqtjpmpqumq. Give prob of picking 2 m and 1 p.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7888 + 9296 = -8*t. Let b = t - -1252. Let q = 4996 + b. What is q rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 - 8 - 12 + 752525*c**3.\nAnswer: 752525*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a**2 + 75*a + 80 = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + 25*i**2 - 27*i. Let z be (-2*(-5)\/(-25))\/((-2)\/120). Let v be k(z). Round v to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1452957, 5 in descending order.\nAnswer: 5, -6, -1452957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 918629923.\nAnswer: 918629923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 14 = 5*h - 17, j - 8 = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-52*t**2 + 18*t**2 - 55*t**2)*(-2 - 1 + 4)*(5 - 3 + 0).\nAnswer: -178*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/8 and -103\/70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2763592004?\nAnswer: 2, 29, 23824069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1111 - 577. Calculate the highest common factor of n and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6846*k = -7489*k - 25077 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*k - 0*k - 80. Let x be 34\/10 + 6 + k. Let s(q) = q - 2. Let i be s(0). Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vri when three letters picked without replacement from vyrvyriiv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 + 2*i + 1. Let u(r) be the second derivative of 1\/2*r**3 + 1\/6*r**4 + r**2 + 0 + 3*r. What is 4*k(a) - 3*u(a)?\nAnswer: -2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*j - 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 85174 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of f**6\/120 + f**5\/30 - f**4\/6 - 4*f**3\/3 + 3*f**2. Solve v(w) = 0 for w.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9465 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((4 - 12) + -173)\/(-1). Suppose 3854 = 5*c - t. List the prime factors of c.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.961 - 0.039. Which is the closest to z?  (a) 0.2  (b) 2  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/6*6\/1. Suppose -g*f + f = -22. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (518\/130 + -4)\/((-6)\/(-15)). What is the closest to -0.1 in -0.4, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 36 = -4*o, -o + 3*o - 58 = -3*s. Calculate the highest common divisor of s and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1686431.\nAnswer: 31, 54401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**3 - 4*v**3 - 3*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -312 = 8*v - 312. Suppose 5*z = -2*t + 10893, v = 2*z - 3*z + 3*t + 2182. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -592 - -597. Let r be -2*2*(-3)\/4. Sort 1, m, r in increasing order.\nAnswer: 1, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.8 + 0.6. Suppose -w + 4 = 0, 3*d - 19 = w - 5. Let b be (-2)\/6 + 20\/d. What is the third smallest value in z, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 + -6. Let l(d) = d**3 - v*d**2 - 4*d**2 - d + 4*d - 2. Calculate the remainder when l(8) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/((5\/(-15))\/(-1 - 0)). What are the prime factors of 4\/(-1) + g + 75?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 + 13*r**2 - 30*r - 59. Determine g(-15).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.304 + -1.304. Which is smaller: 1.194 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -2*f + 4. Let w be (-2)\/(-2*(3 + -2)). Let t(z) = -1. Let p(g) = w*t(g) - j(g). What is p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a**3 + 634*a + 584*a + 11*a**3 - 10 - 1218*a + 5.\nAnswer: 9*a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -11. Suppose 2*k - 6 = 0, 3*i - 4*k - 114 = k. Suppose -r*p + i = -2. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 763068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 PM and 11:46 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5251 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20.27 - -20.34. Let m = q - 39. What is m rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 13437043\nAnswer: 26874086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(539) - ((6*sqrt(539)*-2)**2 - sqrt(539)) - (sqrt(539) + 2)*4.\nAnswer: -77624 - 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 148, 604, 1372, 2458, 3868, 5608, 7684, 10102?\n\"Answer: f**3 + 150*f**2 - f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 39521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 315*b - 180. Let p be g(5). What is the highest common divisor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 56.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from {d: 5, b: 1, w: 3, y: 1, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*u - 30*u - 2*u to f*u + s and give f.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 766012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -935, -954, -999, -1082, -1215, -1410?\nAnswer: -1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 166.51 - 3.51. Let o = -235 - -379.7. Let x = d - o. Round x to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -399, -754, -1099, -1428, -1735, -2014, -2259, -2464?\nAnswer: -2623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 64436.46ml in litres?\nAnswer: 64.43646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -11 - ((-26537)\/1020 - -15). Let a(w) be the second derivative of -1\/18*w**3 + 12*w + 0*w**2 + 0*w**4 + 0 + v*w**5. Factor a(o).\nAnswer: o*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 125 and 75550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 73.665751694 and -0.3036.\nAnswer: 73.362151694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 239614451599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from addadaddgda. Give prob of picking 2 a and 1 g.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-320 - 2*y + 2*y**3 + 324 - 3*y**2 - y**3)*(-1 + 0 - 4).\nAnswer: -5*y**3 + 15*y**2 + 10*y - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 39\/328 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 988*g**3*v*x**4 - g**3*v*x**2 - 6*g**3*v*x - g**3 + g**2*v*x + 33*g*v - 20*v wrt x.\nAnswer: 11856*g**3*v*x**2 - 2*g**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 870017 - -4?\nAnswer: 870022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22132 + -21989. Calculate the highest common factor of b and 3157.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-4)*-2 + 1. Suppose -46*m = -63*m - 85. Let j be 1 + ((-42)\/8)\/3. Which is the closest to w?  (a) -2\/13  (b) m  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2811?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 3, 27, 67, 123, 195?\n\"Answer: 8*c**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 621577911?\nAnswer: 3, 37, 103, 54367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 52740485 and 665?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lalalaaaalaaaala. Give prob of picking 3 a and 1 l.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -14945*a. Let u(l) = -7*l. Determine t(u(o)).\nAnswer: 104615*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10006149943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 11\/7 of a week?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -96, -95, -94, -93?\n\"Answer: g - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -10 + 0 + -206 + 210?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 2, -2, 1, 27715 in descending order.\nAnswer: 27715, 3, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10723 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -69, -85, -113, -159, -229, -329?\n\"Answer: -w**3 - 9*w - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 - 3. Suppose 2*n - 28 + 2 = 5*c, 21 = 3*n - 3*c. Calculate the remainder when 37 is divided by n\/(-15) + (-132)\/g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 810 and 198855?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 503*y + 8587 + 17662 + 599 = 1698 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 236 - 230. Calculate the remainder when 16 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-6)*(-711)\/316. What is the closest to -1 in 5, a, 1, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3  (b) -3  (c) -2.5  (d) -3\/8  (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1042147, -4168517, -9379115, -16673941, -26052995, -37516277?\nAnswer: -51063787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3585 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 l when four letters picked without replacement from bbbllllblawlwkwl?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25 + -27. Let w be ((-6)\/(-2))\/(i\/2). Put w, 4, -1, -2 in descending order.\nAnswer: 4, -1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - g - 4)*(24*g - 24 + 15*g + 25 + 2*g**2 + (0*g - g - 3*g)*(3*g - 2*g + g)) in the form o*g**3 + c*g + d + z*g**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-23)\/((-575)\/(-10)))\/(2*2\/8). Which is the biggest value?  (a) -2  (b) -0.84  (c) -1\/4  (d) j  (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o + 8. Let x be t(6). Suppose 2 = -3*g + x*a, a - 28 = -4*g - 4*a. Find the second derivative of f + f - 4*f**2 + 2*f**g wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 55 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*j**3\/7 + 32*j**2\/7 - 38*j\/7 - 36\/7 = 0 for j.\nAnswer: -1, 18\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + c = -4*q - 12, -4*c = 5*q + 15. Find the third derivative of 18*g**2 - 3*g**6 + c*g**6 - 15*g**2 wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 841999232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.398529m to kilometers.\nAnswer: 0.004398529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.3845 - 0.1845. Put 0, 8, 4, h, 1\/3 in increasing order.\nAnswer: 0, h, 1\/3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s + 2. Let b = 161 + -161. What is w(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iufu when four letters picked without replacement from uuiuiiufuffi?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 69619, 69617, 69615, 69613?\nAnswer: 69611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 6*y = 14. Suppose -3*m + 5 = 4*k, y*m - k = -2*k - 5. Let s be 1 + -1 - 2\/4. Which is the biggest value?  (a) m  (b) s  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-3*sqrt(228))\/sqrt(12) - (1 + sqrt(475) + -2).\nAnswer: -8*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**2 - 5*g + 2. Let p be z(-5). Let x(n) = -n**2 + 0*n**2 - 1 + 5*n**2 - 3*n**2 - n. Let j be x(p). Which is bigger: 2\/29 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 492 and 37392.\nAnswer: 37392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 1) + (-92)\/14 - (-377 + 475 - 107)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -126 + 24\/(16\/(-4)). Let y = 59 - l. What is the remainder when y is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 28, -0.5, 2 in descending order.\nAnswer: 28, 3, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 9:47 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -11801, -23567, -35311, -47021, -58685, -70291, -81827?\n\"Answer: 2*c**3 - c**2 - 11777*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 105496397 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, -4, 12 in descending order.\nAnswer: 12, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -5 + 1*sqrt(162)*6)**2.\nAnswer: -108*sqrt(2) + 5833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 34*u - 79*u + 28 + 4*u**3 - 21*u**2 - u**3 + 41*u. Let h be i(7). Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 2212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 29. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 216211 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 14, -12, 8.7, 0.2, -3\/4.\nAnswer: -12, -3\/4, 0.2, 0.3, 8.7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/60)\/((-7500)\/(-5050000))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 552 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 7, q: 4}. Give prob of sequence qqqq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zjrerrbbrzrrjj. Give prob of picking 4 r.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4 + 4)\/7 - -4. Let i(y) = -9*y**3 + 4*y**2 - 4*y. Let w(g) = -225*g**3 + 99*g**2 - 99*g. Determine r*w(x) - 99*i(x).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 76 + -70. Suppose -7*v = -20 + n. Suppose -v*o = -23 + 17. Solve -o*d + 20 = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7084921.\nAnswer: 47, 150743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -477*p + 6021 + 3996 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10696542 is divided by 5150.\nAnswer: 5142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**2 - 3 + 1 + 0 + 3*p**2 - 79*p**3 + 4*p.\nAnswer: -79*p**3 + 5*p**2 + 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 719843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04890653 rounded to three dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1966319 smaller than 1966321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -114 + 114. Solve 3*p - 14 = p + 2*r, f = 3*r + 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13340941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 156, 163, 174, 189, 208, 231?\n\"Answer: 2*n**2 + n + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -18*q + 4 + q**3 + 12*q**2 + 5 + 32*q. Is o(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3\/2)\/(30\/(-80)). Let c be 1\/2 - 42\/y. Suppose a = 3*s - 47 + c, 0 = 2*a + 6. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3258 + 378. What are the prime factors of p?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 954764.5m?\nAnswer: 954764500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -3*n - 3. Let v be t(2). Let h(b) = b**3 + 9*b**2 + 9*b + 19. Let z be h(v). Let q = z + 65. Solve -6 = -q*k - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 5 = 0, -4*u + 2*u - 2*d = 4. Let i be -3 - 66\/21*u. Let p = -1 + -3. What is the third smallest value in p, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.055 minus 868?\nAnswer: -848.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 3*i**2 - 5*i - 8. Let g = -29 + 21. Let h(j) = -j**3 - 7*j**2 + 9*j + 3. Let x be h(g). Let y(a) = 2*a**2 - 3*a - 5. Give x*f(u) + 8*y(u).\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 4*y + 30. Calculate v(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 43\/496 or 1?\nAnswer: 43\/496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/21)\/((-1674)\/5208).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 225520573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 66550 and 106480.\nAnswer: 532400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of -v**5\/60 - v**4\/24 + v**3\/9 + v**2\/12 - v\/4 - 206. Factor s(n).\nAnswer: -(n - 1)**2*(n + 1)*(n + 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pcof when four letters picked without replacement from opfdced.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.4472 - 0.0252. What is h rounded to 2 decimal places?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2, 0.02, 1\/39, 0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*o = -17*o - 122857. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -141 + 165. Solve 4*y - 3*h + 16 = 0, m = 4*h - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 - (-14 - -22) - 12 - (2 + -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3374, -3380, -3386?\nAnswer: -3392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/7 + 2190*v\/7 - 126500\/7.\nAnswer: 2*(v - 55)*(v + 1150)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12003 - 12223000?\nAnswer: -12210331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15\/(-28) + 28\/98. Let h(r) = -9*r + 9. Let o be h(5). Let a be ((-45)\/o)\/((-5)\/(-6)). What is the third smallest value in 0.1, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of -362*x**7\/21 - 5*x**3\/6 - 45*x**2\/2 + 4*x + 3. Find the second derivative of k(b) wrt b.\nAnswer: -14480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1112776 to the power of 1\/2, to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 5*x**2 + 2577*x + 23858. What is o(-506)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-2))**12\/(x**(-1\/31)\/x*x\/((x\/(x\/x**(-7))*x)\/x)*x))**15 assuming x is positive.\nAnswer: x**(13035\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 13915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123*u + 19 = -126*u - 2*b, 7*b + 32 = u. Sort u, 209, 4 in decreasing order.\nAnswer: 209, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8159 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 35565 (base 7) to base 6\nAnswer: 110350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-63)\/28)\/((-1)\/(-16)). Let w = -15 - r. Calculate the common denominator of -95\/16 and w\/5*(-3)\/12.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -v - 0*v + 1, 5*v - 5 = -5*y. Let t(h) be the third derivative of 11*h**5\/60 + h**3\/6 - h**2 - 268. Determine t(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*p = -114 - 462 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 171 + 26*q - 5*q + 2*q**2 - 40*q - 171 - 21*q.\nAnswer: 2*q**2 - 40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14 - 23 + 0*f - 3*f + 10 to d + b*f and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2. Let p(d) = -584*d**2 - 35*d. Determine p(j(g)).\nAnswer: -584*g**4 + 35*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179372233.\nAnswer: 179372233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 606\/30 - ((-16)\/20 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6212, 15125, 26728, 41015, 57980, 77617?\nAnswer: 99920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 136, 45\/2, 1, -1\/18 in decreasing order.\nAnswer: 136, 45\/2, 1, -1\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**3 + 4500*q**2 - 214796*q - 219300.\nAnswer: -4*(q - 1075)*(q - 51)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**5\/z)\/z*z)\/z**4 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 + 9*a + 2. Does 24 divide q(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1512\/(-27))\/(-8))\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -93 - -97. What is the first derivative of -68*g**4 + 5 - 73*g**j + 127*g**4 wrt g?\nAnswer: -56*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2133, 1485, 405, -1107, -3051, -5427, -8235?\n\"Answer: -216*r**2 + 2349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.9 + -7. Let i = -10.545 - -5.545. Which is the nearest to -1?  (a) q  (b) i  (c) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208109.\nAnswer: 11, 18919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4566 and -2097.\nAnswer: -9574902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -1355*u - 9. Let q(n) = -6*n**3 - 2*n - 1. Let d be q(-1). Let w be a(d). Let z = w - -170837\/18. Find the common denominator of z and -29\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 692*z + 433. Determine c(0).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -256778.418 - -0.4?\nAnswer: -256778.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 - 10*j - 11. Let l = -19 + 30. Let o be b(l). Solve o*q = -2*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -19*v**3 - 57*v**2 + 6249*v + 18745. Determine t(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.8 + -0.7. Let j = -18 - -22. What is the closest to q in 5, 1\/5, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 262950672 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: How many milligrams are there in 199.8731 grams?\nAnswer: 199873.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1.01 * -8210152\nAnswer: -8292253.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2.2, -3, 2, 2\/7 in decreasing order.\nAnswer: 2, 2\/7, -2.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (450\/24)\/((-810)\/1080).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2\/3975 + -274243\/63600. Find the common denominator of (-14)\/12*20\/(-16)*-4 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3 - 596*k**2 - 1185*k + 1782.\nAnswer: -(k - 1)*(k + 3)*(k + 594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 - 3*c**4 + 4 - c**4 - 3*c**4 + 3*c**4 + (-3*c + 2*c**3 + 3*c)*(-3*c + 4*c + 0*c) - 4*c**2 + 4*c**2 + c**4.\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 5*p + 160 - 853, 3*v - 697 = -5*p. Calculate the remainder when p is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of 151*v**5\/60 + 31*v**3\/3 + 24*v**2 - 121*v. Let b(l) be the first derivative of s(l). Differentiate b(f) with respect to f.\nAnswer: 302*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3001 in 3\/2, -1\/41, -0.2, 32, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0748 - 0.4252. Sort 0.5, 0.2, 4, y in descending order.\nAnswer: 4, 0.5, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.1085 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 16) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 24*b**4 + 6*b + 3*b**5 - 9*b**5 + 4 - 8*b**5 - 28*b**2 + 0 + 8*b**3 = 0. Calculate b.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*c**2 - 109046*c + 109046*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (6 - 2)\/(76\/67428549*9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -132, -67, 116, 477, 1076, 1973, 3228?\n\"Answer: 10*t**3 - t**2 - 2*t - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2161 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*q + 7*q + 23320. Is (6 - q)\/((-6)\/(6 + -3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -47\/5 in -0.13, -1\/8, 178, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -14 + 25 + (-34 - -8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gyggfvfg. Give prob of sequence ff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18510.23672 - 18511. Let b = -0.832 - j. Let y = -0.069 - b. What is y rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 2:56 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 3  (b) 1\/6  (c) -11  (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-110)\/66*(-6)\/(-1))\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 10:43 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16677 = -10*y + 4453. List the prime factors of y.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -322 times -0.1327?\nAnswer: 42.7294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-14)\/4)\/7*(-9 + 536\/56). What is the second smallest value in 5\/33, 0.5, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 - 24 = l + 8 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 4*h**2 + 197*h - 1436. What is k(-67)?\nAnswer: 3321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -567, -1089, -1613, -2139, -2667?\nAnswer: -3197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-3) + 1912\/12 + 4. Calculate the greatest common divisor of 126 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-96)\/28)\/((-6)\/2)*14\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 70946862 to the power of 1\/2, to the nearest integer?\nAnswer: 8423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -211 + 227 + -1 + -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1953 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-9) - 6\/(-27). Suppose p = -5*c - 11 + 56. Let x = c - 2. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40746 and 1578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, z: 1, m: 2}. Give prob of picking 1 r and 2 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -67*y - 196. Let i be q(-3). Solve -4*w + 24 = 4*t, 2*w - 2*t - 9 = -i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 4.5. Let b = -27 - -23. Sort -3, b, m in ascending order.\nAnswer: b, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-446)\/(-10) + (-16)\/(-40). Let n = -43 + g. Suppose 3*s + n*s = 960. Calculate the greatest common factor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9.07 and -14442.\nAnswer: -130988.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12\/36*(-24)\/(-2). What is the second smallest value in -0.05, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 170\/7 + -24. Which is the closest to -0.1?  (a) -0.3  (b) -5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 60, 70, 84, 102?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**3 + 2*y**3 - y**3)*(-3*y + 4*y + 2*y) + 3*y**4 - 5*y**4 + 0*y**4 + 87*y**3 + 2*y**4 - 1 - 87*y**3.\nAnswer: -6*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: e9 (base 15) to base 16\nAnswer: db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 + 3. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4446990177 to the power of 1\/2, to the nearest integer?\nAnswer: 66686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 76 and 268103642?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)*1 - sqrt(120))\/sqrt(12))\/sqrt(512) - (2 + ((sqrt(5) + -2)*5)**2 + (-5*(sqrt(5) + 4*sqrt(5)))**2).\nAnswer: -3352 + 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (43 - (-30 - -77)) + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 - 25 - 28)*(-h**2 + 278 - 278 - 10*h).\nAnswer: 33*h**2 + 330*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, 3, -5, -3, -1900, -242 in descending order.\nAnswer: 3, 2, 0, -3, -5, -242, -1900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20523 is divided by 10239.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1490 - -1735. Which is smaller: 3227 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/121)\/(16104\/295240).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**5 + 3*r**4 - 9*r**3 - 3*r**2 + 6*r.\nAnswer: 3*r*(r - 1)**2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 6) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 + 3175*y - 60332. Calculate z(19).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1*3\/9*0. Let i(l) = l**2 - 2*l + 2. Let m be i(2). Suppose -15*h = -17 + 2. Solve j = b + h + m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*z - 51*z - 58*z = -a - 23, 4*z = -30*a - 522 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u + 8. Let j be k(-2). Suppose 4*z - 21 = -n, 8*z - j*z - 2*n = 18. Calculate the highest common factor of 162 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 664402.4 litres?\nAnswer: 664402400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*h**2 - 6*h**2 + 5 + 2*h**2.\nAnswer: -10*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1290 + -598. Suppose -580 = -12*w + t. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1147299369?\nAnswer: 3, 382433123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 1 m when three letters picked without replacement from {m: 6, p: 1, w: 1, j: 2, i: 2, e: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 52637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 506 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d**2. Let r(c) = -c**2 - c - 1. Let k(f) = 12*f**2 + 9*f + 9. Suppose -6*m - 8 = -4*m. Let h(q) = m*k(q) - 36*r(q). Calculate a(h(x)).\nAnswer: 288*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 54367320 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -186 + 187. What is the nearest to -1 in 0.5, 5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of 0*x**3 - 1\/3*x**4 + 185*x + 0 - 1\/2*x**2. Let i(t) = -7*t**2 - t - 1. Determine -3*i(l) + 5*q(l).\nAnswer: l**2 + 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 940 divided by 3\nAnswer: 940\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2*g**2 - 18. Determine w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-5)*30\/18)\/(-3).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 132 - 134.4. Which is the nearest to x?  (a) -0.2  (b) -3  (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 7*i**3 + 10935*i**2 + 365226*i + 51952 = 0.\nAnswer: -1528, -34, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzoppzzozyozzyyz. Give prob of picking 2 o and 2 z.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 54689951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of -35\/6*t**3 - 25\/2*t**2 - 1\/20*t**5 + 0 + 16*t - 11\/12*t**4. Find y such that c(y) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {q: 13, c: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (-6 - (5 - 2)) + 8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7\/251 - -8867\/15060. Calculate the common denominator of t and 55\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(-5)*-1 - (-8)\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 21 in -35, 2\/15, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from poopcpopoo. What is prob of picking 1 c, 1 p, and 1 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001290617953 to 7 dps.\nAnswer: 0.0012906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + 0 - 2 - 1 + 4*n - n - 2*n + 3*n - 7*n + 2*n + 0*n + 4*n - 5*n + (-2 + 5 - 1)*(2*n + 0 + 0) - 7*n + 2*n + 9*n)*(2*n**2 - 5*n**2 - 2*n**2).\nAnswer: -40*n**3 + 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 39778095 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-1))\/(((-3036)\/6)\/(-11)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59.87743 years to decades.\nAnswer: 5.987743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**2\/2 + 1125*w - 69952 = 0. Calculate w.\nAnswer: 64, 2186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 175\/3 + -57. Let y(d) = -d**2 - 4*d - 2. Let v be y(-3). Let q be (-1)\/(-2) - v\/6. What is the closest to q in a, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7862?\nAnswer: 2, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 808  (b) 2  (c) 0  (d) 72\/11  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 82*x + 18*x - 130*x + 27*x. Let h(s) = -526*s**2 - 2. Calculate h(r(o)).\nAnswer: -4734*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 8*b - 2045. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25854251.\nAnswer: 79, 83, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1013 + 1013 - 157*j**2.\nAnswer: -157*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 737 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/1*(1 + 0 + 4). Suppose 3*n + r = -5*k, 0*n = -4*k + n + 13. Solve a + 4*m = -17, k*a = 4*m + 11 + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 12, -2, -28, -66, -116, -178?\n\"Answer: -6*v**2 + 4*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, r: 2, y: 4, j: 3, k: 3}. Give prob of sequence hyk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 2 j when four letters picked without replacement from {j: 3, p: 3, t: 2}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (0 + (sqrt(1125) + sqrt(1125)*-2)*-3 + 3 + 0 + sqrt(1125) + 2*sqrt(1125)*-4)**2.\nAnswer: -360*sqrt(5) + 18007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of -28*y**3\/15 + 66*y**2\/5 + 8*y + 393. Find d, given that w(d) = 0.\nAnswer: -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 16 = -4*s, -5*v = -4*s - 8 - 16. Suppose -v*b + 3*k + 20 = 0, -11 + 1 = -2*b - 5*k. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 428084657 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:09 PM and 6:59 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2. Let t(p) = 12*p**2. Let d(x) = -2*t(x) - 27*y(x). Let f(m) = m**2 + m**2 - 4*m**2. What is d(f(a))?\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -4603.633972 to 1 decimal place.\nAnswer: -4603.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -s - 3*a, s - 4*a + 7 = -0. Solve 3*y - 9 = 0, -s*y + 15 = -0*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*c**3 - 162*c**2*s + 2*c + 345*s wrt c?\nAnswer: -66*c - 324*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22 - -18. What is the third smallest value in -5, -6\/7, c?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -0.4, 2\/459, 0.29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 122 and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*i - a + 10 = -15*i, 12 = 3*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -34 - 12534?\nAnswer: -13012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(11) - (-1*sqrt(55)\/sqrt(5))**2).\nAnswer: -2*sqrt(11) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37*o + 25 - 26*o - 12*o + 0*o + 2*o + 0*o + (-1 + 1 + 1)*(0*o + o + o) to i*o + w and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p + 3*p - 4*p)*(-2*p**2 + p - p) + ((0 + 1 - 2)*(p + 3*p - 2*p) - 3 + 3 - 2*p + 2*p + 0*p - 4*p)*(-2*p**2 - 2*p**2 + 2*p**2) + p**3 - 6*p**3 + 2*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 396*f + 3. What is the units digit of q(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 times 1.8379?\nAnswer: 871.1646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 2 x, and 1 a when four letters picked without replacement from xcaaxfxavlc.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6388115, 6388116, 6388117, 6388118?\nAnswer: 6388119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -80, -74, -56, -20, 40, 130, 256, 424?\n\"Answer: l**3 - l - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27264, -27265, -27266, -27267, -27268, -27269?\nAnswer: -27270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86.24901 centuries to years.\nAnswer: 8624.901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2658929 and 58438.\nAnswer: 5317858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 406700 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3105 + -313?\nAnswer: -3421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5474, 11245, 17014, 22781, 28546, 34309?\nAnswer: 40070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -496 + 499. Let o be 6\/4*(-5 + 7). Solve 0*r = -i*r - o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and 1212?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 198673494 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4*(0 + (-3)\/(-6)). Solve -4*t = -t + o - x, -2*o = -5*t - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 PM and 10:57 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*x**3 - 6*x**3 - 5*x**3)*(3 - 4 + 2) - 2*x + 2*x - 2*x**3 + (3*x - 2*x**3 - 3*x)*(2 - 4 + 3).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 210208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 4  (b) 9  (c) -1.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 178 = 5*n + 22, 0 = -4*n + 3*t + 100. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 26.2788 meters?\nAnswer: 26278800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 15) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -433 - 3?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**5 + 0*a**5 + 2*a**5 + 6*a + (-2*a**2 + a**2 - a**2)*(a - a + 2*a**3).\nAnswer: -2*a**5 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + 201200011121122?\nAnswer: 201200011121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of 1\/2*i**3 - 1\/2*i**2 + 0 + i. Give o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9753 is divided by 2325?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a083 + 22b?\nAnswer: -9b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of j**6\/720 - j**5\/30 - 5*j**4\/6 + 8*j. Let r(p) be the third derivative of y(p). What is the derivative of r(b) wrt b?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, h: 5, w: 1, g: 1, a: 6}. Give prob of picking 1 w, 1 a, and 1 r.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 28594401 - 13594401. Round v to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-168))\/(5\/12*(-5913)\/730)\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (711\/13272)\/((-4)\/((-16)\/(-3))) + 297\/42?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.061 - 8.061. Sort -1, u, 0.2 in increasing order.\nAnswer: u, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 + 8*g - 7. Let m(y) = -y**2 + 3*y + 9. Let h be m(6). Give s(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -425 + 33a?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4542 + -4261. Put 2\/7, m, -0.8 in ascending order.\nAnswer: -0.8, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/42 and -113\/19856388?\nAnswer: 138994716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3309 - 3308.5207. Round a to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, w: 12}. Give prob of picking 2 w and 2 d.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 55075177867.2 - -0.5\nAnswer: 55075177867.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -26*r - 186. Let v be d(-7). Put 3, -28, v in descending order.\nAnswer: 3, v, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-5)\/((d*d**2\/d)\/d*d))\/(d\/d**(-2)*d*d**(-4\/5))*(d**(6\/11)*d\/d**(-2\/21))**(-24) assuming d is positive.\nAnswer: d**(-19087\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 - 4*p**2 - p - 2. Let l be o(-3). Let q = 28 + l. Let y = q + 13. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.7 - -3.9. Let j(a) = a**2 + 11*a - 1. Let w be j(-11). What is the biggest value in w, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 249\/48914 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 941 is divided by 274.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87694 is divided by 559.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -2*j + 40 + 36, 0 = 3*h + j - 122. Let f = h + -42. Solve -4*y = -f*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/40 and -43\/32789632.\nAnswer: 163948160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -5*j + 35, -11 = 2*j - 5*j - g. Suppose -2*m + 19 = m + 5*h, -j*m + 2*h - 14 = 0. Let p = 19\/5 + -17\/5. Put 2\/3, p, m in decreasing order.\nAnswer: 2\/3, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1197, 2394, 3591?\n\"Answer: 1197*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*h*t + 4*h + 151*t wrt h.\nAnswer: 3*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24*z**4 - 33*z + 22*z**4 - 30 + 297*z**2 + 8 + 3 wrt z.\nAnswer: -24*z**2 + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 173551.\nAnswer: 7, 24793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 + 2)\/1 + -9. Let n = 269 - 143. Let q = n + -126. Which is the biggest value?  (a) l  (b) q  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4125.994*-0.1\nAnswer: -412.5994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 6913846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(1 + sqrt(396) + -4 - (sqrt(396) + (sqrt(396) - (-5 + sqrt(396) + -1)) + sqrt(396) + sqrt(396)) - (0 + 6*sqrt(396)*-1))*1*1)**2.\nAnswer: -1728*sqrt(11) + 25668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 PM and 10:18 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c**2 - 2*c - 1. Let z be (-33)\/(-22)*2478\/9. Let g = z + -414. What is a(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -184*a + 70*a + 5*a**2 + 114*a.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/946 and (8411\/2795 + -3)*(33 - 1).\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9 + 18 - 1 - 6 - 13*y + 0 - 43*y**2 - 40*y**3 wrt y.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of -w**4\/22 - 10*w**3\/33 - 7*w**2\/11 - 6*w\/11 + 5. Find j such that d(j) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 - 13*k + 29. Let o be n(9). Are -6 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/3)\/(f\/f**(-1\/6)))**(2\/33)*((f*f\/f**2)**(-49))**13 assuming f is positive.\nAnswer: f**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/7))**(-23)\/(w**(2\/5)*w**(-2))*(w\/(((w\/(w*(w\/(w**(-2\/5)\/w*w)*w)\/w))\/w*w)\/w))**47*(w*w**(1\/2))\/(w\/((w*w**(1\/6))\/w*w)*w) assuming w is positive.\nAnswer: w**(17707\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of n**6\/20 - 13*n**5\/6 + 14*n**4\/3 + 124*n**3\/3 - 262*n**2 + 3*n. Factor o(b).\nAnswer: 2*(b - 2)*(b + 1)*(3*b - 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -53.42995*12\nAnswer: -641.1594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/(-3))\/((-20)\/(-12)). What is the biggest value in -0.5, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043991533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1842899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7727*d - 955488 - 33568 = 0 for d.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -312810 divided by -18\nAnswer: 52135\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2782 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -36449 - 11?\nAnswer: -3645a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -360 - -365. Suppose h*p = q - 3*q + 1198, -4 = -2*p. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/2, 27.32, 1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-1*2)*-6. Let k be (-2)\/(3 + 35\/(-10)). Differentiate 6*w + 3 + k*w + 0*w - o*w with respect to w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17 * -2.6.\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9560.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m + 107797 - 107797.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 71.74 rounded to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 18*l = 20*l + 69, 102 = 5*r + l. Suppose 0 = -2*m + 4*s - 14, 3*m - s - 1 = 3. Calculate the remainder when r is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - w = -1162, -3*w - 1192 = -5*k + 1724. Suppose -4*s + 3890 = -4*y - k, -3 = y. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18319*c**3*g - 35*c**2 - 2147*g wrt c.\nAnswer: -109914*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -5 + 5*d + 0*d**2 + d**2 + 8. What are the prime factors of g(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -v + 3*k - 3, 0 = -4*v + k + 8. Let s be 17 + -3 + (v - 4). Find the third derivative of s*w**5 - 11*w**2 + 7*w**2 - 11*w**2 wrt w.\nAnswer: 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, g: 2, e: 1, u: 1}. Give prob of picking 1 o, 1 g, and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 21\/(-9)*(1750\/441 + -4)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - (4 - 4)) + 320 + -337.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Solve 906 = 97*p + 101*p - 239 - 1033 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -9, 3, -3\/4, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/(-12) + (-224)\/(-21). Let x be -2 + 25\/(-10)*g. What is x rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 0 + 3 - 10*i**3 - 118*i**2 + 121*i**2 - 1 + 3*i in the form v + m*i**3 + l*i + z*i**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/3408 and -101\/1536.\nAnswer: 109056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 7:14 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 260 divide 483185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.937 + -1.97. Round g to one dp.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -130 > -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 + 20*l**2 - 19*l + 2. Let o be q(19). Suppose 2*f - z + 3 = -12, o*f + 5*z - 15 = 0. Let p(b) = -b. Let r be p(f). Solve -r = -w - 0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -37, 14, 5, -1, 2.\nAnswer: -37, -1, 1, 2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136 = 3*d + 406. Let h be (-5325)\/d + (-2)\/12. Suppose 0 = -5*a - w + 60, 0 = 5*a + 5*w + 19 - h. What is the greatest common divisor of 39 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 - -11. Let w(v) be the third derivative of -31*v**4\/24 + v**3 - 3*v**2. Is w(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3570163 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -d**3*o**2*z**2 + 163*d**3*o*z**3 - 91*d**3*z + 396*d**2*o*z**2 - 22*d*o**2*z**3 + d*z**3 wrt z?\nAnswer: 978*d**3*o - 132*d*o**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4\/5 + -7\/15. Let v be 2 + 16\/(-6) - 0. What is the closest to 0 in v, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 110*b**2*o**2 - 78261*b**2*o + b**2 + 334*b*o**2 - b + 2485*o**2 + 2*o wrt b?\nAnswer: 220*o**2 - 156522*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168*z**4 - 11433*z**3 + 76449*z**2\/7 - 23976*z\/7 + 2484\/7 = 0. What is z?\nAnswer: -69, 2\/7, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 23, 49, 77, 107?\n\"Answer: i**2 + 23*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 424538, 424536, 424534, 424532, 424530?\n\"Answer: -2*x + 424540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19255 - 2980 = -712*v + 12653 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 PM and 8:11 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11261, 382, 0 in descending order.\nAnswer: 382, 0, -11261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum -5676624 and 1640276.\nAnswer: -4036348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2120211 - 100112?\nAnswer: -2221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(396) + 1 - (sqrt(396) + -5*sqrt(396) + 4))*6)**2.\nAnswer: 4320*sqrt(11) + 356544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -8*t**2 + 8*t - 56. Let o(i) = -8*i**2 + 6*i - 55. What is -4*o(d) + 3*y(d)?\nAnswer: 8*d**2 + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1172*p**3 + 1585*p**2 + 1?\nAnswer: -7032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25 - -12. Let m be 14\/91 - 63\/r. Solve -5*j + 6*j + 14 = 3*d, -m*d - j = -18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46551, 72346, 98135, 123912, 149671, 175406?\nAnswer: 201111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 78*u**3 - 12*u**2 - 12*u - 12. Let z(b) = 88*b**3 - 3*b**2 - 5 + 3*b - 2*b**2 - 8*b - 57*b**3. Determine -5*q(o) + 12*z(o).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of -i**6\/30 + i**5\/10 + i**4\/4 - 4*i**3\/3 + 2*i**2 - 16*i. Factor k(j).\nAnswer: -(j - 2)*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22611.91m to kilometers.\nAnswer: 22.61191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*p + 0*p - 7*p + 41.\nAnswer: -3*p + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.3  (b) -3  (c) -21\/5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 421095 and 16080?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24206\/38)\/49*(-48)\/(-13)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -28.0101 to one decimal place.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 5, -12, 1, -0.77, -5?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - 270?\nAnswer: -26e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 23104 from 4.\nAnswer: -23100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 17549849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11.9 + 46.9. Let b = 35.10916 + -0.07916. Let v = l - b. What is v rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10 - -4)*1\/(-2). Suppose 0 = -5*n - 2*w - 10, 0 = -3*n - n - w - 5. Suppose -c = -n*c. Solve c = -3*b - m - 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 58303.291 to the nearest 100.\nAnswer: 58300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2*(sqrt(396)*2 + sqrt(396)))**2 - 3*(-2 + sqrt(396))**2*-2.\nAnswer: -68880 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 137292 - 137292 + 2*u - 3*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 7*s = -132. Let h = -14 - s. Let i = 10 - 0. What is the remainder when h is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -2*s + 11, 0 = -a + 5*a - 4*s - 28. Let h be 7\/2 - (-2)\/4. Suppose n + 155 - 1178 = h*q, -a*n = 3*q - 5230. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.1555337 decades?\nAnswer: 1.555337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 + 28. Suppose a - 7 = -l, 4*l + 21 + 15 = 4*a. Suppose -c*p = -a*p - 32400. Round p to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oc when two letters picked without replacement from ccoo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven sixths of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 779?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12 or 1675\/152?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 131542 - 512142. What is o rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 0 + 1 + (2 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -946*j**2 - 20836*j - 518. Give p(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 324*t + 82 = -5*l + 326*t, 0 = 5*l - 20*t + 100 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6455409 + 121.\nAnswer: -6455288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (45\/105*7\/(-8))\/(-1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*1\/1080*27?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (0 - (1 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(34) + (sqrt(340) + (sqrt(340) + (sqrt(340) - -1*sqrt(340)) - sqrt(340)))\/sqrt(10)))\/(sqrt(2) + sqrt(128)*2 + sqrt(200)\/sqrt(4)).\nAnswer: 2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 49626012 = 2*j, 0 = -31*t + 36*t + 4*j - 124064976. What is t rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of x**5\/15 + 661*x**2. Let w(z) = 40*z - 3. Determine r(w(d)).\nAnswer: 6400*d**2 - 960*d + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 5*j**3 - 130195*j**2 + 6. Give x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 564\/18*(1090\/(-20) + 53)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 + -1 + (-1)\/(-2))*-2. Let k be (-3)\/(-9) + 51\/i. Solve 3*l = k*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 5 + (sqrt(192) + -6*sqrt(192)*2 + sqrt(192) + sqrt(192) - (2 + sqrt(192) + 2)) + 5 + -2)**2.\nAnswer: -640*sqrt(3) + 19216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14b (base 16) to base 4.\nAnswer: 11023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - m + 0)*(m - 6*m + 4*m) - 17*m - 5*m - 6*m**2 + 8*m**2 + 6*m.\nAnswer: 3*m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 PM and 9:46 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, p: 7, i: 7}. Give prob of sequence pypp.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 57785859 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 3*i + 20 = -52, 0 = -5*z - i + 79. Solve -4*n - 9 = -u + n, -5*u - 5*n - z = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -1 - 7*n - 3 + 6 + 0*n. Let c be i(-1). Which is smaller: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 173\/504 and -19\/109872.\nAnswer: 109872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 326043481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**0*u)**10*u**14\/(u\/u**(1\/6)*u) assuming u is positive.\nAnswer: u**(193\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 27*z**2 + z - 24. Let q = -100 - -127. Let b be p(q). Solve -b*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -25*f - 3. Is v(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-1 + -4) - (12 + -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - 9*x + 7. Let a be g(-10). Let l be (a\/(-2))\/(3\/(-18)). Let t(f) = f**2 + 9*f + 13. What are the prime factors of t(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 2*b + 46 = 0, 3*b - 25 = -16. What is the units digit of 33\/(-2)*(-2 - j\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 716728 is divided by 357950?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 151.6084 rounded to one dp?\nAnswer: 151.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1807*i**3 - 199543*i**2 + 1291888498?\nAnswer: -5421*i**2 - 399086*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 2*r)*(-2 + 2 + 5 + (-1 + 5 - 2)*(-5 + 4 + 4)) - 10 - 131*r - 116*r + 261*r to j*r + h and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 - 3*c - 2. Suppose 2*p + 0 = 2*w - 2, 3*w + 9 = -p. Let t(s) = -3*s**2 - 8*s - 7. Let h be t(w). What is o(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 225, -1, 0.02 in ascending order.\nAnswer: -1, 0.02, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = -0*m + 5*m + 22, -5 = m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 2*c**2\/3 - 22*c\/3 + 16 = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.4, 1\/2, -5, 49, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -3*c**2 + 12*c + 13. Suppose 6*k + 13 = 4*k - 3*m, -k = -5*m. Let d be i(k). Let u = d + 161. What is the highest common factor of u and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 + -29. Let g be (-24)\/36 - (-4 + 3). Which is the nearest to k?  (a) -4  (b) 2\/3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3443 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -2580434000 to the nearest 1000000.\nAnswer: -2580000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12176 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3336 divided by -2?\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16403 - -16403. Let r(l) = 5*l**3 - l**2 + 1. Let z be r(1). Solve j = z*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2293, 2519, 2743, 2965?\n\"Answer: -w**2 + 229*w + 2065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1117.35201 to 0 decimal places.\nAnswer: -1117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rzzz when four letters picked without replacement from {r: 2, s: 2, z: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 688690073 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 - 8*s - 6. Let f be z(-6). Is 3 a factor of (14\/(-3))\/((-4)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*x - 39*x - 60 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2*n = 67, -4*n - 70 = -4*q - 14. What is the remainder when 73 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-793)\/(-10309))\/(1\/2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c**2 - 5*c - 34*c**3 + 79 - 23*c**3 + 2*c + c.\nAnswer: -57*c**3 - 2*c**2 - 2*c + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w**2. Let v(h) be the first derivative of 0*h**2 - 2 - h**2 - 3*h**2 + 5*h**2. Calculate a(v(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -3*k**2\/4 + 9825*k\/4 - 4911\/2 = 0.\nAnswer: 1, 3274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 36047656 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 3*a - 138, 7*h - 2*h - a - 690 = 0. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 8*p + 11. Let b(d) = -7*d - 13. Calculate -6*b(w) - 7*r(w).\nAnswer: -14*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.90872 decades in millennia?\nAnswer: 0.0790872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*y + 2*l - 1, -2*l + 7 = -2*y + l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14125 is divided by 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33369 divided by 28.\nAnswer: -4767\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.089 - 53.089. Let k = 53.1 + q. Let r = -14 - -10. Sort r, 4\/13, 1\/4, k in descending order.\nAnswer: 4\/13, 1\/4, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*w - 305 - 87. What is the remainder when w is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 4*j + 1 - 20 = 0, -j = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 81291 by -1029.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**2 - 88*i - 90 = 0. What is i?\nAnswer: -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*t + 16*t - 6*t)*(-5 + 0 - 5)*(2*t + 0*t + t + (3 - 1 - 1)*(t - 1 + 1)) to k*t + w*t**2 + m and give w.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1285108807.\nAnswer: 317, 4053971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -212*f**2. Let a(x) = 3*x. Determine a(n(d)).\nAnswer: -636*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 4 = -4*p, -163*p + 165*p = -b. Let t = -12 - -9. Sort t, 24, p in decreasing order.\nAnswer: 24, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + 1 + 37 + -5. Let w be 5\/p*(-1 + 4). Which is the second biggest value?  (a) 5  (b) w  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -597 + 597 - 7433*g**2 - 724*g**2.\nAnswer: -8157*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000005898 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*z**2 - 5*z**2 + 7*z**2 + (0*z + z**2 + 0*z)*(-1 + 4 + 0) - 3 + 3 - 2*z**2.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 14. Let t be o(0). Let s(m) = m + 12. Let c be s(-7). Let d = t - c. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4840, 19460, 43840, 77980, 121880?\nAnswer: 175540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6250 - 31*f + 3125 + 3125.\nAnswer: -31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 303541?\nAnswer: 7, 103, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 318343451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 263544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 405021703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 7*t**2. Let k(q) be the second derivative of q**4\/12 - q - 2. Calculate u(k(v)).\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -96.4 + 96. Let u = 0.5 + -2.5. Which is the closest to u?  (a) 3  (b) q  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -10*r + 9*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 10*x + 47. Let l be j(-4). Suppose -20250 = -17*v + l*v. Round v to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 788 divide 89704344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 i, and 1 z when three letters picked without replacement from {h: 1, i: 2, z: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.06202 and -0.18?\nAnswer: 0.11798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yquuuyypuwpua. Give prob of sequence qy.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2712*v**3 - 16*v**2 + 10*v**2 + 6*v**2.\nAnswer: -2712*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from badbd. Give prob of sequence bd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(208) - (sqrt(208)*1*2)**2) + 6*(4 + 0 + sqrt(13))).\nAnswer: -3232 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 0, -76, -3, -2, 203 in decreasing order.\nAnswer: 203, 17, 0, -2, -3, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 119\/42 - 1\/(-6). Suppose -27 = -4*t + v*l, -4*t + t + 13 = 5*l. Calculate the greatest common divisor of 18 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -99, -0.07, 26 in increasing order.\nAnswer: -99, -4, -0.07, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, x: 1, c: 1}. Give prob of sequence ce.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.9 - -2. Let q = -174.3 + 174. What is the nearest to a in 5, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/3034381 and -57\/50998.\nAnswer: 6068762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1283*v**3 - 120*v**2 + 120*v**2 - 1277*v**3 + 19.\nAnswer: 6*v**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/((u\/((u\/u**(-7))\/u*u*u))\/u)*u)**3)**(-16) assuming u is positive.\nAnswer: u**(-528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 209433346?\nAnswer: 2, 104716673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1121001 (base 3) to base 7\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 349 - 1287 = -2*s. Let g be (-2)\/(-8) - s\/(-28). Suppose g = 3*l + 20. Are l and 4\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 403 divide 9428185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k**2 + 3981*k = 0. What is k?\nAnswer: -1327, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21411879 is divided by 2434.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 411795.\nAnswer: 3, 5, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34.89535 millilitres to litres.\nAnswer: 0.03489535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.318 + -0.4065. Let c = -0.09 - p. What is c rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 50967 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1641668601 is divided by 1398.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**0*r)\/(r\/((r\/r**(-3\/5))\/r)) assuming r is positive.\nAnswer: r**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - (20 + 15 + -30)) + 36 + -2?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 51\/7385 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 57140 (base 8) to base 9\nAnswer: 36124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8738938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 4161168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/539, 2\/11, -38, -0.4 in descending order.\nAnswer: 2\/11, -1\/539, -0.4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 AM and 6:45 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*r - 16*r + 4*s - 19, 5*s - 15 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + 7*y**2 + 4*y + 6. Let x(h) = -2*h**3 + 15*h**2 + 9*h + 13. Let w(s) = 7*k(s) - 3*x(s). What is the units digit of w(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -141  (c) -2\/15  (d) -1  (e) -50\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5016883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 - 3*w + 12. Let b be h(-5). Suppose -34 = -3*a + b. Calculate the remainder when a is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200 = -4*o - 4*w, -5*o + 11*w = 9*w - 278. Solve o*l = 59*l - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6521, 6570, 6619?\nAnswer: 6668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 divided by 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1534.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 4*w - 210. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.911938818 to 2 dps.\nAnswer: -1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, 59126, 2 in increasing order.\nAnswer: -23, 2, 59126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((1 + -1)\/(-8))\/(-5 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -u - 1. Suppose 4*i + 13 = u*n - 73, -68 = -3*n - 5*i. Does 26 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*j + 11 + 181 = 0. Which is the closest to 0?  (a) j  (b) 0.4  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -23*k + 120. Let x = 248 - 243. Let q be m(x). Solve -q = -z - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 2*r**3\/11 + 56*r**2\/11 + 24*r = 0.\nAnswer: -22, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1502 (base 15) to base 9\nAnswer: -6152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 261 and 60931233.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 - 5509*w + 21988. Determine k(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -13. What is the smallest common multiple of 14 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 62539\/176 - 3930\/11. Find the common denominator of 5\/744 and m.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 0*g - 5*g - 55, 19 = 4*u + g. Suppose 0 = u*x - 2*x - 4*z - 528, -5*x - z + 636 = 0. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-135 + 135 - 33*k)*(1 + 2 - 2)*(1 - 2*k - 1).\nAnswer: 66*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*k - 74504 + 197987 = -999509. Is k 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 -24, -124, -392, -912, -1768, -3044?\nAnswer: -4824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 5*x + 66 = 0. Let m = 15 + x. Solve -2*p = 2*y - 6, -m*p - 6 = -y - y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -100*q**3 - 3*q**2 - 3*q - 50. Let x(y) = -201*y**3 - 7*y**2 - 7*y - 100. Let r(a) = -7*f(a) + 3*x(a). What is the first derivative of r(l) wrt l?\nAnswer: 291*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -82, -136, -188, -238, -286?\n\"Answer: v**2 - 57*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-14)*w)\/w*w)\/w**(8\/7) assuming w is positive.\nAnswer: w**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(-40)\/(-608)*(-696)\/1305*15\/4?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4420963.\nAnswer: 29, 157, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 690*f - 1430. Calculate x(2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + r - 208 = 0. Let h be (r\/5)\/((-6)\/(-45)). Let s = h - 53. Solve 2*p + s = -5*l, 10 = 2*p - l - l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -229 = -b + 2*g - 4*g, 3*g - 1110 = -5*b. Round b to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/5 + 2786*b\/5 + 80196.\nAnswer: 2*(b + 163)*(b + 1230)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -10*n + 78. What is the remainder when 233 is divided by m(3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 - 5*v - 171. Let m be f(16). Suppose m*g + 5 = 0, g + 20460 = 4*q - 17993. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(1 - 0) - -6. Let u(b) = 16*b - 183. Let g(s) = 39*s - 441. Let r(i) = 5*g(i) - 12*u(i). Give r(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/5*(20720\/(-96))\/259.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68085.\nAnswer: 3, 5, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-70)\/20*24\/(-14). Let o(h) = -h**3 + 8*h**2 + 2*h. Is 14 a factor of o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*m**3*s + 109*m**3 - m**2*s - 2242*s wrt m?\nAnswer: -12*m**2*s + 327*m**2 - 2*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fcaaaaooh. What is prob of picking 1 o, 1 a, and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8625 and 250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - -3. Let y(q) be the first derivative of -q**4\/4 + 4*q**3\/3 + 2*q**2 - 2*q + 9. What is the remainder when y(o) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -14 + 7 + 3 - 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 440782 is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 112716*o - 338105. Determine p(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7 and -0.173?\nAnswer: -1.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 AM and 6:31 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -5*f. Let s(b) = 461 + 21*b + 464 - 923. Determine s(o(v)).\nAnswer: -105*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 42*(-9)\/(-18) + 0. Suppose v*u = 39*u - 11664. Is 72 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/12 and 1*-1 - 185\/160?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -79425 + 79426.89978. Let j = 12.1 - 14. Let l = j + o. Round l to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -202 = -26*n - 150. Solve o + 3*x + 7 = 8, -o = -n*x - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -6, 0.2, 300 in ascending order.\nAnswer: -6, 0.2, 2\/7, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1 + 0.3. Let c = 8 - 9. What is the nearest to i in c, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times -2.2166\nAnswer: -1.1083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -4*y**2 - 665*y + 2348. Give k(-169).\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 132*h - 1. Let x(y) be the second derivative of 13*y**3\/6 - 4*y + 299. What is x(k(r))?\nAnswer: 1716*r - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -3) + (4 - 7) + (-120 - -125)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of v**3\/2 + 2*v**2 + 10*v. Let a be 2\/4*0\/1. Let p be h(a). Solve -5*x + p = -1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 3*b - 42, -5*b + 50 = 6*n - n. Suppose 7*c = n*c - 65615222. Suppose -c = -2*j - 131607611. What is j rounded to the nearest one million?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 40220 + -510?\nAnswer: 36410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 337\/1858?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = v - 223. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 122*s - 176. Let h(q) = -50*q**2. Determine k(h(l)).\nAnswer: -6100*l**2 - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13870033\/120 + 115585. Calculate the common denominator of -119\/144 and w.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2369*y**3 + 3747 - 3747 - y**2 - 2*y.\nAnswer: 2369*y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/615?  (a) 5\/7  (b) 0  (c) 0.01  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 - (-43 + 38 + -18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -18*p - 1017. Determine t(-53).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - -4)\/((-18)\/12). Let x(r) = -1. Let d(u) = 3*u**3 - u + 2. Let b be (-1)\/3 + 6\/(-9). Give b*d(s) + n*x(s).\nAnswer: -3*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*y + 137 - 185 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.088144255 to 4 decimal places.\nAnswer: -0.0881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fffg when four letters picked without replacement from ggffrfffgrgfff.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3\/2*y**3 + 0 - 5\/6*y**4 - 1\/6*y**5 - 1\/3*y - 7\/6*y**2 = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*y - 3*u, 2*y + 12 = 3*u + u. Suppose -y*q = -5*p + 1678 + 235, -3*q = -4*p + 1536. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 41, 36, 29, 20, 9?\n\"Answer: -j**2 - 2*j + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -45 + 70. Let q(n) = -n**2 - 6*n + 3. Let z be q(-6). Let t be 2\/(-5) + 8\/(-5). Put z, p, t in increasing order.\nAnswer: t, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of r**3\/3 - 9*r**2\/2 - 11*r - 3. Let f(c) = 3*c - 17. Let q(d) = -3*f(d) + 5*p(d). What is q(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (3 + 4 + -5 + 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1437447 and 15147?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 41*u**2 - 29*u + 959. What is the thousands digit of d(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23089\/28855 + -1\/5771. Sort 0.06, 0.3, z, 10, -5.\nAnswer: -5, 0.06, 0.3, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 389, 774, 1145, 1496, 1821, 2114?\nAnswer: 2369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -571 + 573 - (-2 + -37)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -41*f - 289. Let u be r(-7). Let i = 335.071 - 335. Which is bigger: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**3 - b**2 + 1. Let g be u(-1). Is 36 - (2 + g - -3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -917*-711\nAnswer: 651987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3825)\/(-1700) + 278\/(-24))\/((-8)\/84).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -9*z**3 - z**2 - 10*z - 18. Calculate the remainder when 347 is divided by p(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1135 (base 15) to base 14\nAnswer: -148a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3 - 54110*b**2 - 16*b + 865760.\nAnswer: (b - 54110)*(b - 4)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 145904226?\nAnswer: 2, 3, 13, 23, 167, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/5947032 and 58\/955773?\nAnswer: 53523288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 50\/(-18) + 6\/(-27). Let w be 194*(9\/d + 13). Calculate the common denominator of -33\/4 and w\/8*(-3)\/150.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100*64\/(-6400) + (-1)\/((-33)\/(-35))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -378508, -378509, -378510, -378511, -378512?\n\"Answer: -c - 378507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -262 divided by -5.\nAnswer: 262\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b1 + 0?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -2*g**2 + 7. Let w(v) = 69*v - 70. What is w(a(t))?\nAnswer: -138*t**2 + 413","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-5)\/(o**(-3\/11)*o))**29\/((o**(-2\/3))**(-1\/4)*(o\/(o\/o**(1\/3)))**11) assuming o is positive.\nAnswer: o**(-11215\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 - 11. Find the third derivative of -h**2 - 2*h**2 + g*h**2 + 2*h**3 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 512, 1506, 4210, 9482, 18180?\n\"Answer: 143*b**3 - 3*b**2 + 2*b + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -27*g + 15*g + 84*g to the form s + x*g and give x.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -6, 7, -20, -4 in ascending order.\nAnswer: -20, -6, -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/8 or -6124100?\nAnswer: -6124100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 70650 and 47100.\nAnswer: 141300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -148*a + 614. Determine y(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 3. Let u be (-21)\/q - (-9)\/18. Solve 3*f = -2*t - 22, -5*t = -4*f - 4*t - u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, v: 2, c: 2, m: 1, j: 8, z: 1}. What is prob of picking 2 v?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/4*(3142\/147 - (36\/(-882))\/(-1))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1212 - 74a0?\nAnswer: -86b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.00724 - -1222.4\nAnswer: 1222.39276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*s - 396 + 48 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1771*d - 27717 - 73415 + 16124 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 (base 10) in base 12?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*1*sqrt(176) - sqrt(176) - sqrt(176))\/(sqrt(48)\/sqrt(192)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 36b371?\nAnswer: -36b372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1042734412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*h**5 - 576*h**4 - 11*h**3 + 81732*h**2?\nAnswer: 180*h**2 - 13824*h - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 108*u**3 - 6*u**2 - 110*u**3 + 4*u**2 + u**4 + 1 + u in the form b*u**4 + g*u**3 + f*u + o + w*u**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*h - 1442 = -1258 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 7 - 1 = -5*d, k - 2 = 2*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) 1\/2  (c) 3\/8  (d) 3\/4  (e) -33.73  (f) 0.2  (g) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4532471684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 60932409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1450124 (base 6) to base 5\nAnswer: -10144132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -3*o + 10, -5*h + o + 3 = -3. Suppose v - 24 = -0*v - 3*l, -4*l - 18 = -h*v. Solve -5*x - v = -3*c - 4, -3 = -3*c + 3*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h. Let z be g(2). Calculate the remainder when 26 is divided by (-42)\/9*(-3)\/z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, 169, -6, -4, -7 in decreasing order.\nAnswer: 169, 1, 0, -4, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -649, -658, -665, -664, -649, -614?\n\"Answer: l**3 - 5*l**2 - l - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -146, 1, 3, -1, -5 in decreasing order.\nAnswer: 3, 1, -1, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2831, -4379, -5927, -7475, -9023?\n\"Answer: -1548*t - 1283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -22 times 115.72\nAnswer: -2545.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 74714469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 4*k. Suppose 15 - 1 = 5*h - 4*o, 3*o = 2*h. Does 13 divide w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -12, -0.1, 2\/5, -2\/13, -887, -14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 18 - -22?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 20 = 8*p. Suppose 0 = -p*k - 0 + 4. Solve -5*t = -5*q - 10, -3*q + q = -3*t + k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*z**4 - 4043818*z - 8141840 wrt z.\nAnswer: 8*z**3 - 4043818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + -2)*(-4)\/(-9 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 228*c + 253*c - 480*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fh when two letters picked without replacement from fahxxaxhhgx?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 265381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -18847, 3, -10 in decreasing order.\nAnswer: 3, -10, -18847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 556, 552, 548, 544, 540?\n\"Answer: -4*j + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -54, -49, -24, 21?\n\"Answer: 10*i**2 - 25*i - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (-32)\/14 - 19\/7. Let j be ((-4)\/((-4)\/(-35)))\/(i\/12). Calculate the greatest common divisor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of r**7\/2520 + r**4\/12 + 3*r. Let i(j) be the third derivative of v(j). Let x(q) = 4*q. Determine x(i(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/2055978 and -67\/3.\nAnswer: 2055978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 + 4*v**2 - 3*v - 2. Let z be h(-5). Suppose -2*l + 4*s = 45 + 289, 5*s - 653 = 4*l. What are the prime factors of l\/(-3) - 8\/z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 855576 and 13048?\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {s: 6, n: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -107628409 + 156896294. Suppose -4*i + 14516207 = -v. Suppose -6*u = -42526023 + i. What is u rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 AM and 5:10 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -150 + 30. Suppose 0 = 3*f - z + 4. Suppose 3*j - f = -3. Solve -5*c = h + 6, 6*h + 5 = -2*c + j*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 3603225 and 3603225 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - 3*r**2 - 2*r - 4. Let l be s(-3). Suppose 5 + 1 = l*v. Let c be -3*(-42)\/(-45) + v. Does c = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 8*a - 17. List the prime factors of y(8).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -20. Let u = x + -11.9. Suppose m - 91 = -88. What is the closest to u in -2, -3, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 877*v - 891*v + 37968 = -17094. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26 + 34. Let l = -8 + r. Suppose 0 = 2*v + 4*p - 12, -4*p = -4*v - l*p. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10 + 174681?\nAnswer: 174671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 172157380504 less than -0.1?\nAnswer: -172157380504.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 11*f**2 - 2*f - 34. List the prime factors of c(11).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 11) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 138743207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1203279 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**3 + 45*l**2 + 652*l + 1824.\nAnswer: -(l - 57)*(l + 4)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j + j**2 + 3*j + (-2*j + 4*j + 0*j)*(-12 + 4*j + 12))*(-3*j**2 + 5*j**2 - 3*j**2).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - g = -90. Suppose 6*k - 483 = 21. Suppose -2*u + g = -k. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, l: 3, o: 11, b: 2}. What is prob of sequence ble?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 0.098, -0.4, 0.5, -0.5, -8, -2\/7, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 26*x**3 - 2*x**2 - 13*x - 11. Give t(-2).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -203\/10, -1\/6, 0.2, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/4*112\/(-12). Let p be (-612)\/(-63) + -10 + 6747996\/k. Round p to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -168 - 163 - 176 - 5794*z + 507.\nAnswer: -5794*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -75 by 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (11553 - 11559) + -1 + (27 - (0 - 0))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = 4*l + 80, 1339242*l - 1339248*l - 100 = 2*c for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22 + -13. Let o = 11 - g. Which is the third smallest value?  (a) 3  (b) o  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 211103673 and -3422.\nAnswer: 211100251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-2\/11)\/(o*o**(-8)*o)*(o*o**(2\/13)*o)\/(((o**(-5)\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(2284\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j**3 - 4*j**3 + 2*j**3)*(-8*j + 3*j - 6*j + (-1 + 4 - 4)*(2*j + 0*j - j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1251837409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1542350 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -0.07, 0.5, -7, -37?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wgkg when four letters picked without replacement from qgqggkqwggq.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2817858, -2817858, -2817856, -2817852, -2817846?\n\"Answer: a**2 - 3*a - 2817856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 3182725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-3 + 0 - -1) + 89.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35524\/79929)\/(-1*4\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 + 3*l**2 + 2*l + 3. Let u be j(-3). Let d be 2*1 - (-3)\/u. Suppose -y = -3*t + 36, -4*y + d = -4*t + 57. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3\/5, 25\/23, -7\/7227?\nAnswer: -7\/7227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: c22 (base 16) to base 5\nAnswer: 44411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-21)\/105 + (-32)\/(-10). Suppose -r*o + 36 = 6*o. Solve 0 = o*j + 10 - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 64 and 40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {u: 3, i: 2, m: 1, r: 4, f: 1, s: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -58, -0.5, 433649.\nAnswer: -58, -0.5, 433649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 - 3*x - 2. Let o be u(-4). Let m(p) = -2*p**2 - p + 1. Let g be m(-2). Let i = g - o. Solve -y + 1 = -i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 201, 156, 113, 72, 33, -4?\n\"Answer: q**2 - 48*q + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of -u**6\/120 + u**5\/10 + u**4\/4 + u**3 - 38*u**2. Let d(i) = -i**2 - i - 1. Let f be (-14)\/10 + 8\/20. Give f*j(y) - 6*d(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/((-7 + 5)\/(-1)). Solve g = 3*d - 2*a - 8, -23*d - 6 = -22*d - 5*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5547000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1923*o**3 + 119*o**2 + o - 4?\nAnswer: 11538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -2, -0.1, -64\/5, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 2*(0 + (sqrt(128) - ((sqrt(128) + 1 - sqrt(128)) + sqrt(128)))**2 + (-1 + sqrt(128) + -3 - sqrt(128))) + 3)*3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 473*t - 6 - 3*t**4 - 6*t**2 - 472*t + 5*t**2 as h*t**4 + u*t + w*t**3 + b*t**2 + j and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 AM and 7:30 AM?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2. Let a(q) = 4 + 34 - 8*q - 37. Calculate a(y(o)).\nAnswer: -8*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 0.3  (b) 3  (c) 2\/11  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 4.53266 kilometers?\nAnswer: 4532.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3522\/(-15)*33\/(-1300) + -368 + 362 and 19\/18.\nAnswer: 29250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87248.\nAnswer: 2, 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*k + 3*k. Suppose -5*g + 3 + 17 = k. Suppose 0 = g*j - 26 - 30. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 387*a - i - 12 = 385*a, 4*a = -5*i - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -41*j**2 - 113*j - 74. Calculate t(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -50818298216 take away -0.04?\nAnswer: -50818298215.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30085 and 2765.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54\/3 + -296*32\/576.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1ac7 + 1a0d7?\nAnswer: 18510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*x - j = -11*x - 24, -x = j - 4. Suppose -12 + 26 = 2*m - 2*l, 2*m - x*l - 11 = 0. Solve 20 = -3*s + m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 9:26 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -2124, 8, 3, 0.4, -6 in increasing order.\nAnswer: -2124, -6, 0.4, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4409 + 4413. Solve 4*y + 13 - 1 = -z*h, -5*h = -4*y - 21 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -5*z + 1607. Let n(m) = -m**2. Determine n(v(i)).\nAnswer: -25*i**2 + 16070*i - 2582449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 4 = -l - 5*m, -3*m = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 525 * -5.\nAnswer: -2625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.5754 millimeters in micrometers?\nAnswer: 27575.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 16) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = -5*s + 4*g, 5*g - 44 = 2*s - 104. Solve -19*j = -4*j - s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 427.6067 plus 0.06?\nAnswer: 427.6667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b - 1. Let l(x) = x**2 + 5*x + 3. What is 6*h(p) + 2*l(p)?\nAnswer: 2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/1 - (-5)\/1. Let g be ((-36)\/27 - -1)*-12. Suppose -g*k + 83 = -5*s, 26 = k - s + 5*s. Solve d = 4*o + k, -4*o = -5*o - h*d + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -73*l + 301238 - 303720 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -15*v**2 - 4*v - 4. Let h(k) = k**2 - k - 1. Determine 4*h(s) - i(s).\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 941 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is a43 (base 12) in base 11?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*a - 3*a + 2*a + (2 - 2 - a)*(3 - 3 + 2) + (-a - a - 2*a)*(1 + 5 - 4) - 2*a - a + 5*a - 884*a - 892*a + 1480*a as k*a + c and give k.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 12423424?\nAnswer: 12423414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(126)\/sqrt(2)*3 + sqrt(63)))\/((sqrt(108) + (sqrt(108) - 1*sqrt(108)*-1) + sqrt(108))\/sqrt(12)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47 - -143. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-5 - -10 - 3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 135*o + 16. Let i(l) = 68*l + 9. Give -5*i(n) + 3*t(n).\nAnswer: 65*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-16))\/(3812\/60992)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 42785908 to the power of 1\/2, to the nearest integer?\nAnswer: 6541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1509643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 - q**2 + 3*q - 8. List the prime factors of j(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4642523 litres in millilitres?\nAnswer: 464.2523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 125, 463, 1027, 1817?\nAnswer: 2833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(-6) + 4\/(56\/21). Suppose -d - 34 = -5*n, c*n - 4*n = -d - 16. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 216.09 - 199. Let l = z + 0.21. What is l rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -427 (base 14) to base 10\nAnswer: -819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -44*f**3 - 7 + 45*f**3 + 5*f**2 + 4*f**2 - f. Let y be u(-9). Solve -y*n = -6*n + c - 5, 0 = -4*n - c - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*f - 52 + 3. Let m(w) = w**3 - 7*w**2 + 6*w - 3. Is m(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 5*z - 17, -3*f + f - z = -7. Solve 3*g + 0*b - 2*b = -17, 19 = -3*g + f*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 384\/(-14) + 3\/7. Let o be (-6)\/u - (-52)\/9. Let z(l) = -2*l + 6. What is z(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2549*j + 33 - 1482*j - 33 in the form w + v*j and give v.\nAnswer: -4031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1838*m**2*x**2 - 18729*m**2*x - m*x**2 + 2*m*x + 3*m - 2295*x**2 - 2*x - 3 wrt m.\nAnswer: 3676*x**2 - 37458*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -6*p. Let c(l) be the third derivative of -l**8\/20160 - l**5\/15 + l**2. Let a(h) be the third derivative of c(h). Calculate y(a(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3229.015ug in kilograms?\nAnswer: 0.000003229015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*m**4 - 3292*m**3 - 3*m + 256.\nAnswer: -36*m**2 - 19752*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -92  (b) -3  (c) -0.11  (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16161022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 30 = 5*i + 1, 0 = 3*i + 4*h + 29. Let g(m) = m + 7. Let r be g(i). Solve -6 = -3*z - r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**3\/6 - 5*y**2\/6 - 13*y\/6 - 7\/6.\nAnswer: (y - 7)*(y + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a**3 - 233*a**2 + 116*a - 37. What is the units digit of r(-118)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 137797, 137801, 137803, 137803, 137801, 137797?\n\"Answer: -j**2 + 7*j + 137791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rmm when three letters picked without replacement from {s: 1, n: 3, v: 1, f: 1, r: 1, m: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 3503*v - 693610. What is a(198)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven halves of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3b66 (base 12) in base 8?\nAnswer: -15276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 341*b = 152*b - 441*b + 46620 for b.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of -c**4\/8 + 2*c**3\/3 + c**2. Let f be m(4). Let a(h) be the second derivative of h**3\/6 + 9*h**2\/2 - 346*h. Calculate a(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of -a**6\/72 - a**5\/30 + 2*a**3 + 5. Let y(g) be the third derivative of f(g). What is the second derivative of y(q) wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 4*p + 38, d + 6*p + 4 = 4*p. Let l(c) = 4*c - 7. Let k(a) = 5*a - 8. Determine d*l(t) - 5*k(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55032912.9 minutes to weeks.\nAnswer: 5459.614375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from drrrdddrddrr. What is prob of picking 1 d and 1 r?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 139, 248, 367, 502, 659, 844, 1063?\nAnswer: 1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-266)\/672 + (1\/7 - (-52)\/273)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21377 + 320657\/15. Let 0*y**3 - 4\/15*y**2 + 4\/15*y**4 - 2\/15*y**5 + w*y + 0 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 7*f + 8. Let j be c(11). What is the greatest common divisor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yd when two letters picked without replacement from {d: 1, l: 4, e: 3, y: 5}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1730 is divided by 80.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 552 and 48?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1 + sqrt(2057) + sqrt(2057) + sqrt(2057))*-2)**2 + 3 - (-3*(-1 + sqrt(153))*5)**2) + -5.\nAnswer: 1086*sqrt(17) + 39404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0*a - 3*a + 2*a)*(1 + 3 - 3) - a + 3 - 3)*(3 - 3 - 1)*(0*a + 2*a - 3*a) to w*a + y*a**2 + v and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -21*h**2 + 51*h. Let x(j) = j. Give y(x(i)).\nAnswer: -21*i**2 + 51*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -41*k**2 - 14*k + 3. Let l(i) = -14*i**2 - 5*i + 1. Let f(g) = -4*h(g) + 11*l(g). Let w be f(1). Suppose 6*q - w = q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 6) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -749*c + 713*c + 72 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91766 is divided by 22894.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57887010 and 639?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1743, 6, 0?\nAnswer: 1743","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1862\/3591*(-15)\/(-7)*-2.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x**2 + 2. Let g = 11172 + -11169. Let t(s) = -s**2. What is g*w(o) - 12*t(o)?\nAnswer: 3*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36674377?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -19\/14664?\nAnswer: -19\/14664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 3*d - 9. What is the smallest common multiple of 18 and x(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0057894 rounded to four dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*u - 11*u - 27*u + (-u + 2*u + 0*u)*(-1 + 1 - 1) - 24 + 8*u - 22 + 42 to f*u + h and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -5*k + 6. Is w(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/1*1\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10657725887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1417 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 213110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1163691*q**5 - 2827492*q**2.\nAnswer: -69821460*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -15474.588 rounded to the nearest 10?\nAnswer: -15470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 497565 = -z, 2*z + 1347060 = 3*r - 145633. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -3*f**4 + 3139*f**3 + 11538*f**2 + 12596*f + 4200 = 0.\nAnswer: -2, -1, -2\/3, 1050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -2\/13, -9, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 9 - 21. Is (-930)\/(k\/2) - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.12 + -0.02. What is the biggest value in a, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 1*-25*(-72380)\/350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00198270419 to five decimal places.\nAnswer: 0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005599 rounded to four dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of -y**7\/15 - y**5\/60 + 77*y**4\/24 + 51*y**2. What is the second derivative of r(m) wrt m?\nAnswer: -168*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 0*p - 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h**3 - 3*h**2 + 2*h + 1. Suppose -4*y + 7*y - 42 = 0. What is the lowest common multiple of k(2) and y?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 AM and 9:13 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_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: b\"What is the ath term of 260, 259, 256, 251, 244?\n\"Answer: -a**2 + 2*a + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 AM and 6:22 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*z**3\/9 - 3524*z**2\/9 + 312472*z\/9 - 583376\/3 = 0. Calculate z.\nAnswer: 6, 722\/5, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 67.2171kg?\nAnswer: 67217100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-330)\/(-40))\/(-11)*-4. Suppose -5*a + 424 = k, 0 = 7*a - 6*a - l*k - 72. Suppose -4*v + 30 = -14. What is the remainder when a is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 12:30 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 8:36 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 14\/11, 2, 0.001 in descending order.\nAnswer: 2, 14\/11, 0.001, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-135)\/(-33) - 10\/110. Suppose -96*m**c + 672*m + 3032*m**2 + 533*m**4 + 70*m**4 - 368*m**2 + 2184*m**3 + 48 = 0. Calculate m.\nAnswer: -2, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u**2 - 29*u - 8. Let w be b(7). Let m be (w\/4)\/((25\/(-20))\/5). Put -5, 3, 1, m in descending order.\nAnswer: m, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1151 - 645. Suppose h*f = 519*f - 26. Suppose 8\/15*j**f - 4\/15 - 14\/15*j**5 + 28\/15*j**3 - 4\/15*j**4 - 14\/15*j = 0. Calculate j.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 30*y - 94. Let n be r(33). Solve -n*j + 4*c + 8 = -2, c + 1 = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 375790 - 205721. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 81*x**2 - x + x - 109*x**2. Let s(l) = 2*l**2. What is h(s(f))?\nAnswer: -112*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 6*t - 12*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36183.16um to nanometers.\nAnswer: 36183160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7430 and 1030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -67*z + 76*z - 4*z**3 + 2*z**3 + 16 + 10*z**2 - 5*z**2. What is the units digit of a(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-22))\/(q**(-3\/5)\/q) assuming q is positive.\nAnswer: q**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 - 4*o + 3. Suppose -13*m = -14*m + 3. Give f(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from etqet?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 5*x = 3*x + 12, 4*a = -x + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22688507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1568 + 2195. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -4. Suppose 0 = 2*o + 3*o + 4*k + i, 2*k + 10 = 2*o. Factor 4*s**3 - 2*s**3 - 2*s**o - 4*s**3.\nAnswer: -2*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*m = 3*f - 46*m - 18, f - 8 = -2*m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.2 + 6.2.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21616502.\nAnswer: 2, 10808251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1835843 - 1.\nAnswer: -1835844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjiiiiijjjiiiijj. Give prob of picking 3 i and 1 j.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/3)\/((-5)\/(-20)). Suppose -8 + 20 = u*m. Sort 1, m, -3.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 11:49 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -435590, -1742236, -3919936, -6968690?\n\"Answer: -435527*a**2 - 65*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 2*n = 0, 2*r + 2 - 4 = n. Suppose 3*j = -r*j + 335. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 5)*(0 - 1 - 2)*(6224*r - 1379*r + 6359*r)*(-4 + 5 - 2).\nAnswer: 33612*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 610503305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1505.1 - -1507.1. Which is greater: h or 13805?\nAnswer: 13805","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**(-25)\/o))\/(o\/o**(-2\/91))*(o*o*o*(o*o**(1\/35))\/o*o)\/(o**28*o*o*o) assuming o is positive.\nAnswer: o**(-452\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 0.14502, 57\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 + 21*h. Let y be j(-20). Let p be (-30)\/(-9)*24\/y. Let f = p - -9. What is the remainder when 16 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 2777 + 2788 = 5*c, -5*c + 3*n + 23 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3889.8 - -3890. Which is the smallest value?  (a) 338  (b) -3\/8  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1432*n - 10558 + 9625 - 27707 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -411560 rounded to the nearest one thousand?\nAnswer: -412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/3*4 - (-1 - 2)\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 2:17 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - -3. Let i be r\/(-30) + 22\/10. Suppose s - 56 = -3*f + i*s, 5*s = 20. Solve 0 = -5*h - f, 7*h - 2*h + 30 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0, 260, -77, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 124 = 16. Let b = o + 8. Calculate the highest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 16*w + 0*w**4 + 14*w**4 - 13*w + 21*w as i + b*w + l*w**2 + u*w**3 + q*w**4 and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1217*d**3 - 698*d**2 + 4*d + 9934394 wrt d?\nAnswer: -3651*d**2 - 1396*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What comes next: -30234, -58823, -87474, -116217, -145082?\nAnswer: -174099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*(p*p**(-40))\/p*p)\/p*p*p**(2\/33))\/(p**13*p**(-31)\/p) assuming p is positive.\nAnswer: p**(-625\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 163 - 134. Solve 5*a - 10 = l, -2*a + k = 3*l + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 287019 and 286854 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 339818, 679624, 1019432, 1359242?\n\"Answer: n**2 + 339803*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 1012.\nAnswer: -3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1688.4 * -2525\nAnswer: 4263210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + 4*u - 10, 5*g + 10 = -3*u - 0. Let w be ((-6)\/(-108))\/(g\/(-6)). Put 0.06, w, 0.2 in ascending order.\nAnswer: 0.06, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 605044*z = -605059*z + 86, z + 10 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + 0*v = -24. What is the second smallest value in 1\/7, 1, v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/28*2 - (-39)\/(-7). Let g(b) = -10*b**2 - 19*b + 13. Let p(s) = -7*s**2 - 13*s + 9. Let l(x) = 5*g(x) - 7*p(x). Calculate l(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 2*k + 27. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 336260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2228408 to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (270\/20 - 21) + 6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - -19 - (-2 + 2) - 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -1 + 4 + (-18 - -2 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*i**2 - 2*i**2 + 0*i**2)*(-4*i**3 + 2*i**3 + i**3)*(6 - 1 - 2).\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 312302 and 34.\nAnswer: 5309134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -49 - -71. Calculate the remainder when 131 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*a + 0*a - 4*a)*(-2*a + 5*a + a)*(-3 + 5 - 3)*(-2 - 13*a + 2) - 10*a**3 + 22529 - 22529 as y*a**3 + j*a**2 + b*a + f and give y.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 760 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of -z**2\/2 + z + 38. Let m = -3 + 2. Give l(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -32918*d**2*g**2 + 52*d**2 + 8*d + 2 with respect to g.\nAnswer: -65836*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 26*i - 19*i - 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13899171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -5*j - 31. Let u be n(-4). Sort 4, 15, u in ascending order.\nAnswer: u, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 755 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 2\/214433439 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 55*p**4 - 33*p**4 + 24*p**4 + (4*p - 3*p - 6*p)*(3*p**3 - 5*p**3 + p**3) to v*p + r*p**4 + l*p**2 + u + z*p**3 and give r.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 l when three letters picked without replacement from {o: 9, v: 3, l: 7}.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8 - (6 - (4 - 6)). Suppose u*l = -l + 3*h - 12, -3*l - h + 14 = 0. Solve 0 = -l*a + 6, -3*a - a - 2 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qooqqqfooofq. What is prob of picking 2 f and 1 o?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*s + 3*s - 9*s - 10*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/20)\/(12\/30).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - 6*z**2 + 2. Let k be x(6). Suppose k*b = -b + 5*f + 10, b + 2 = -f. Let a(g) = 1 + 20*g - 7*g - 11*g + b. Determine a(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 180 and 1440?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6325582, 12651186, 18976792, 25302400, 31628010, 37953622, 44279236?\nAnswer: 50604852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 189, 767, 1723, 3051, 4745, 6799, 9207?\nAnswer: 11963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 202 = -j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -15*i**3 + i**2 - 4*i + 4. Let t(b) = 16*b**3 - b**2 + 3*b - 3. Let o(d) = 3*c(d) + 4*t(d). What is the third derivative of o(a) wrt a?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13223 = 16*o - 7385. What is o rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 - w**2 - 7*w + 5. Let l be h(4). Suppose -x = -5*p + l, -2*p + x = p - 17. Factor 4\/5*j**2 + 2\/5*j**3 + 0 - 6\/5*j**p + 0*j.\nAnswer: -2*j**2*(j - 1)*(3*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(-3) + ((-184)\/3 - -1). Let h be (-9)\/(-6) - 2\/(-4). Let p be -5*8\/d + (h - 2). Which is the third smallest value?  (a) p  (b) 5  (c) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - 7*h**2 - h - 3. Let q = -14 - -7. Is 2 a factor of n(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4352.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -32081694*y - 15024549 wrt y.\nAnswer: -32081694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/4395777 and 67\/78.\nAnswer: 114290202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 18237975 divided by 175?\nAnswer: 104217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 2*y**3 + 2*y**2 + 24*y - 2. Let z(o) = 2*o**3 + 3*o**2 + 24*o - 2. Give 3*h(d) - 2*z(d).\nAnswer: 2*d**3 + 24*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fjj when three letters picked without replacement from {f: 5, h: 1, z: 1, j: 6, l: 1}.\nAnswer: 25\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1756947157.\nAnswer: 7, 19, 13210129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 11*h - 245. Let p(o) = -6*o + 147. Let x(i) = 5*p(i) + 3*w(i). Let v(b) = -563*b**2 + 2*b. Determine v(x(f)).\nAnswer: -5067*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 31, 122, 273, 484?\n\"Answer: 30*m**2 + m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -f - 507 - 390, -4*t - 3*f = -909. Let n be 2\/(-5*(-6)\/t). Let z = n - 3. What is the greatest common factor of z and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 7:43 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of t**5 - 5*t**3 + 5*t**2 + 42. Factor k(g).\nAnswer: 5*g*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 6:31 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of p**5\/180 + 529*p**4\/36 + 279841*p**3\/18 + 157*p**2 + 5*p. Let r(j) = 0. Calculate j.\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -44363*z**4 - 95619*z**2 wrt z?\nAnswer: -1064712*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, r: 3}. Give prob of sequence rrh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 - 17*j**2 - 324*j + 77. What is the ten thousands digit of v(36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -132 - -100. Let c = y + 40. Suppose -3*f = b + 19, 2*b - c - 8 = 3*f. Put f, -3, 4 in descending order.\nAnswer: 4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 3*v. Let g(y) = -y**2 + y. Let h = 30 - 24. Let m be ((-9)\/h)\/((-7)\/14). Give m*g(w) - l(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 5*h - 6. Let f be -1*(-26)\/(3 - 1). Let y(l) = 11*l - 11. Let q(d) = f*j(d) - 6*y(d). Let k be q(-14). Solve 14 = k*g + 3*p, g - 3*p + 4*p = 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1130325303 (base 6) to base 5.\nAnswer: -11212433411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-84)\/(-27) + ((-44)\/8 - (-10)\/4). What is the biggest value in 3, c, 0.2, -18\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 8 + 0 = 0. Suppose 1 - 19 = -s*y + 4*m, y - m - 6 = 0. Suppose 43 = y*v - 2*v. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1051*((-6)\/(-3) - 1). Let q = a - -1488. Suppose -2*h = -5 - 3, 3*h = -5*u + q. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 473*r - 417*r = 560 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172603.\nAnswer: 172603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.5 + 6. Let c = 0.29 + -0.49. What is the nearest to -0.1 in c, r, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 - 20*u - 76. Let r = 20642 + -20657. Determine l(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51782?\nAnswer: 2, 17, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -1 + 2*z + 1 - 5 + 2*z. Let v = -140 + 144. Calculate n(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 7 - -2 - -3) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/(-1) + 2\/(-2). Let a(c) = -2*c**2 + 2*c - 1. Let k be a(1). Let v be (-6 - k)*3\/(-5). Solve -3 = w - v*x + 4, w + j*x = 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2477 by -178601.\nAnswer: 2477\/178601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 1 + ((1 + sqrt(1216) - sqrt(1216)) + sqrt(1216) + sqrt(1216))*3 + -4 + 0.\nAnswer: 5 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2)*(10 - 9*m - 10)*(2*m - 7*m + 3*m).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 818597558.\nAnswer: 2, 19, 29, 67, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -24877000 to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 2*o. Let d be u(1). Let m be (-4 + -1 + 7)\/2. Suppose -2*x - 3 = m, -2*x = 3*n + 13. Put -2, n, -1, d in ascending order.\nAnswer: n, -2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 222367910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 7675, 7679, 7683?\n\"Answer: 4*n + 7671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-728)\/(-910) + (-9)\/30.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.02791 - -1.14429. Round l to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -3*o**2 - 3*o + 3*o + 2*o**2. Let n(j) = -2 + 147*j**2 - 9 + 2 + 9. Give n(l(c)).\nAnswer: 147*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -668120490 divided by -5?\nAnswer: 133624098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -3*f + f - f. Let a(d) = 0*d + 0*d - 3*d. What is a(o(u))?\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 20062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 12 = j, -24 = -4*g - 2*j + 4*j. Let c be g\/(-2)*(-147)\/6. Let o = -31 + c. Calculate the smallest common multiple of 6 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3308.1471 + 3308. Round v to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 - (-4 + 4)\/1. Suppose 4*q - 3*q - c = 0. Suppose -6*b + 86 = -q*b. List the prime factors of b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -6*h + 2*h + 9*h**3 - 5*h + 0*h - 3*h**2 + 3 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2810, 2809, 2808?\nAnswer: 2807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g - 2*g + g)*(-3*g + 2*g + 0*g) + 0*g + g**2 + 0*g + (4 - 5 + 3)*(25 + 18 - 12)*(0*g - 2*g + g)*(5 - 5 - g) - 11*g + 11*g - 12*g**2.\nAnswer: 53*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 59 = -f - 2*x, f + x + 55 = 0. Let w be ((-2)\/10)\/(f\/60). Which is the closest to 3\/5?  (a) 0.2  (b) w  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 AM and 9:33 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 240\/(-1584)*(-12)\/10.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**2 - 25*x - 120.\nAnswer: 5*(x - 8)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the second derivative of d**7\/360 - d**4\/2 - 25*d. Let n(f) be the third derivative of q(f). Let z(y) = -4*y. What is n(z(u))?\nAnswer: 112*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.63 - -0.64. Let x = -0.19 - i. Round x to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(33)*-3*-4 + (sqrt(264)*5)\/sqrt(8))\/((5*(sqrt(396) + sqrt(396) + sqrt(396)*2) - sqrt(396)) + sqrt(396) + 5*sqrt(396)*2))**2.\nAnswer: 289\/10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-9)\/15)\/(1\/5). Let v(m) = -2*m. Let r(g) be the third derivative of -5*g**4\/12 + 1335*g**2. What is b*r(i) + 16*v(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.007?  (a) 0.5  (b) 2\/13  (c) 4  (d) 2  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2 + 252*w - 15876.\nAnswer: -(w - 126)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 501 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of -22*q**3 + 11*q**2\/2 - 9*q. Is r(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 7*j - 348 = -8*j, -702 = -2*i - 5*j. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 127339*d**3*k**2 + 9*d**3 - 2*d*k**3 + 7082 wrt k.\nAnswer: 254678*d**3*k - 6*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 AM and 6:54 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1287 (base 16) in base 2?\nAnswer: -1001010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 5 = 10. Suppose m - y - 4 = p, 0 = -m - 5*y + 9. What is the smallest common multiple of m and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -30.048 + 30. Let q = p - -0.099. Is 1 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = -3*a - 8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) 14  (b) 2  (c) -209\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do 331 and 1665 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -107, 5, -5, 6907, 3 in descending order.\nAnswer: 6907, 5, 3, 1, -5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 11981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31 - -30. Let j be (9 - 12)\/(r\/(-3)). Let h be ((-141)\/(-94))\/(9\/24). Put h, 3, j in ascending order.\nAnswer: j, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153.5 times -11?\nAnswer: -1688.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-1\/9)*u*u\/(u**(10\/9)\/u) assuming u is positive.\nAnswer: u**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 47194257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 346 + 4?\nAnswer: 34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 3. What is the biggest value in 30, -3, t?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 - 9*t**2 - 6. Give o(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2097509328.\nAnswer: 2, 3, 14566037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-4 + 2 + sqrt(2299)))**2.\nAnswer: -1100*sqrt(19) + 57575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 5*v**3 - 17*v**3 + 5*v**3 + 8*v**3 - 2*v**3. Let k be (-6)\/9 - 20\/6. Let a = -9 - -6. Let h(r) = 2*r**3. What is a*h(n) + k*w(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide (160\/15 + -10)*(-18495)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -859*v + 635. Is c(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2 - 27*q - 18*q - 5*q. Let x be n(-2). Suppose -3*m - 4*h + x = 0, -4*m + 0*m + 114 = -2*h. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 655, -2 in descending order.\nAnswer: 655, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 3 - 7 = 0. Let c(h) be the second derivative of h**4\/12 + 5*h**3\/6 + h**2 - 90*h. Give c(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Calculate the remainder when 469 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - o**2 - o + 42. Let t be z(0). Suppose -19*x = -309 + 233. Suppose -3*y - h + 106 = -85, -y = -x*h - t. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 128d (base 15) to base 16.\nAnswer: f76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 - (-4 + 5) - 4. Which is smaller: -7 or c?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -12, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*i**3 - 23*i**3 - 50*i**3.\nAnswer: -121*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**2)**(-36)*l**(3\/2)\/(l**(-2)\/l)*l*l*l\/(((l*l**(-1\/3)*l)\/l)\/l)*l*l**(-4)*(l**(-1\/12)\/l)\/l**(1\/6) assuming l is positive.\nAnswer: l**(-821\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.04, 733951, 0 in decreasing order.\nAnswer: 733951, 0, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h**2 - 2*h + 3. Suppose 5*f - 7 + 22 = 0. Let i be g(f). Calculate the remainder when 16 is divided by (i\/6)\/((-1)\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f + 208 - 298 = 0. Solve -3*s = -0*y - y + f, -8 = 4*s + 4*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hjduxhhdjdr. Give prob of sequence dhxu.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**2 - 5*r**3 - 4*r**2)*(29 + 24 - 11 + 4).\nAnswer: -230*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*c**3*j - 5*c*j**2 + 77*j**2 wrt c?\nAnswer: 12*c**2*j - 5*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 11338.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 + 48 = 5*k. Find the third derivative of 58*w**6 + 4*w - 115*w**6 + 68*w**6 + k*w**2 wrt w.\nAnswer: 1320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 617871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 65057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 111 + -106. Suppose -r + 12 = -5*y, 2*r + 2*y - g = r. Sort 5, r, -2, -5 in increasing order.\nAnswer: -5, -2, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5726 + 8271. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 114 and 12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g - 2. Let f(s) = s. Let i(o) = -o**3 + 29*o**2 + 23*o + 209. Let t be i(30). Give t*b(k) + 3*f(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-1*sqrt(2057) + (sqrt(2057) + 1 - sqrt(2057)) + -3 + 4 + (5 + sqrt(2057)*1 + sqrt(2057)*-2 + sqrt(2057) + -5)*-5)**2.\nAnswer: 88*sqrt(17) + 8232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (35\/10 - 1)\/(3\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + 0. Put 1\/27, 0.2, a in ascending order.\nAnswer: 1\/27, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/((y\/y**(-13))\/y)*y\/(y**9*y))\/((y*y**(3\/4))\/((y**(-13\/4)\/y)\/y)) assuming y is positive.\nAnswer: y**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146 = g - 29*w, 4*g - 8*w - 5 - 23 = 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 194*l**2 - 186*l + 7155. Is o(31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 385514, 385518, 385528, 385544, 385566?\nAnswer: 385594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 1. Let z(w) = -w - 4. Let x(f) = 4*p(f) + z(f). Let i(m) = 12*m - 37*m + 17*m + 16*m. Give x(i(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4265 - -636?\nAnswer: 5012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 17, 2, -20 in decreasing order.\nAnswer: 17, 2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -18*d**3 + 2*d**2 - 9967*d - 5566027 wrt d?\nAnswer: -54*d**2 + 4*d - 9967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 111139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + 52?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o - 1. Let y be b(-3). Suppose y*v + 75 = 5*t, -4*t + 3*v = 6*v - 60. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 341526 and 3756786.\nAnswer: 3756786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -2*z - z + 9 - 3*z - 6. What is s(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, -2\/19, 2\/3, 2, 37, 3347?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-103)\/(-1*(10\/(-5))\/8). Round i to the nearest 10.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**2. Let s(l) be the second derivative of l**4\/6 - l**3\/6 - 17*l. Give s(c(w)).\nAnswer: 8*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, -5, 4, 59, -4 in increasing order.\nAnswer: -5, -4, -3, 3, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -256 - -383. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21 and 54957?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 379 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42 - 46. Let u = -6.5 + 6.5. Which is the closest to u?  (a) n  (b) -1  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 + 11*w + 20. Let g be n(-9). Suppose 0*f + 4*f = -5*l - 114, g*l = -3*f - 47. Let y = 64 + l. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -10*o**2 - 6. Let n(p) = -25*p**2 - 10*p - 10. Let x(t) = -28*t**2 - 12*t - 11. Let i(b) = -6*n(b) + 5*x(b). Give 5*h(k) + 6*i(k).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1490277?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -4*q - 0*q, 3*u + 3*q = -12. Let z = 14 - 11. Sort u, z, -1 in ascending order.\nAnswer: u, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1647\/62, 2 in decreasing order.\nAnswer: 1647\/62, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3821 or -3799?\nAnswer: -3821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18430 is divided by 4546?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5916 - 5916 + 5804*v + 160*v to f*v + g and give f.\nAnswer: 5964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 1. Let b(h) = -5*h + s*h + 0*h + 0*h. Let a(x) be the first derivative of -x**2\/2 - 1. Give b(a(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/(-18))\/((-6)\/(-12)). Let i = 0.1 - 0.4. What is the third biggest value in -0.4, g, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8.302 * -3134\nAnswer: -26018.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 778*b**2*v + 2*b**2 - 5*b*v + 73*v + 3016 with respect to b.\nAnswer: 1556*b*v + 4*b - 5*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -5*w**2. Let h be -1 - (-6 + 2) - (4 - 147). Let p(z) = -145*z + 287*z - h*z. Calculate p(l(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1980 and 495?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2075783767 to the power of 1\/3, to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 - 37*v - 34. Does 9 divide k(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1057 + 6621. What are the prime factors of i?\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -1895*w**4 + 6*w**2 - 6*w + 8702. Let a(n) = 1894*n**4 - 5*n**2 + 5*n - 8704. Let f(p) = -6*a(p) - 5*k(p). Differentiate f(y) wrt y.\nAnswer: -7556*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of -2*g**3\/27 + 11*g**2\/9 - 6. Factor x(w).\nAnswer: -2*w*(w - 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d + 12*d - 4 = 0. Suppose 4*r - 8 = 4*b, 8*r - 3*r - 25 = 2*b. Suppose 0 = -r*y + 10 + 11. Calculate the remainder when y is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + (1 + 3 - -13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of 157*q**6\/3 + q**4\/2 + 67*q**2\/2 + 151. What is the second derivative of b(a) wrt a?\nAnswer: 6280*a**3 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22794161 divided by -4?\nAnswer: -22794161\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14292343 is divided by 15569.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02846239 rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -292751.4 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -725 - -735. Let h = -0.3 + 0.3. Let g = 0.1 - h. Is g <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sstt when four letters picked without replacement from {t: 8, s: 5}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 + 6*u - 18. Let o(r) = 4*r**2 + 20*r - 53. Let d(l) = 4*o(l) - 14*t(l). What are the prime factors of d(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 292053944.\nAnswer: 2, 7, 13, 401173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -170173800 or -170173801?\nAnswer: -170173800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f - 10. Let r be u(-14). Suppose 5*z + r*l + 269 = -197, -5*l = -3*z - 287. What is the tens digit of (-3)\/(-5) + z\/(-10) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + 1 + -12 + -3. Let u be (-20)\/s - (-2)\/(-8). Which is the third biggest value?  (a) -23  (b) -1  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (19 - 36) + (45 - 29) + -70?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of -n**8\/6720 - n**7\/3360 + n**6\/1440 + n**5\/480 - 11*n**3\/6 - 5*n. Let d(a) be the second derivative of h(a). Factor d(u).\nAnswer: -u*(u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 4*o - 9. Let f(d) = -4 + 5 - 3 + d. Let w = 42 - 33. Determine w*f(y) - 2*u(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -31332509*v**2 + 45183751.\nAnswer: -62665018*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6155*h - 2100*h - 847506 + 847506.\nAnswer: 4055*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3\/6 - 28\/(-8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -17, 0, -7, -1\/2, -0.4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*q = 50*q - 4*p + 13, -4*q = -p + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 7*t + 4. Suppose 5*n = -5*k - 15, -4*n - 2*k - 6 = -n. Let g be j(n). Solve g*s = 7*s - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in -2\/13, -5, 301, -73?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 20, 0, 2 in decreasing order.\nAnswer: 20, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 - 10. Let o = -208\/5 - -41. Let q = o + 7\/15. Sort f, q, 0.1.\nAnswer: q, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.96504 - 0.03496. Let x = 0.2 + -0.1. Which is the nearest to 0?  (a) k  (b) 16\/9  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/(5\/6 - 0). What is the first derivative of 2 + x*p + 12*p - 5 - 10*p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 356757721 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: Suppose -3*z - 2 = -35. Let h be (z\/(-33))\/(2\/30). Calculate the remainder when -28*h\/(-10)*-1 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5, p: 5, s: 7, y: 2}. Give prob of picking 2 y and 1 p.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 192 a factor of 226742611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 32196541*b**2 + b - 28911490.\nAnswer: 64393082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 22 = 13. What is the units digit of (-1)\/(546\/183 + w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 - 159*t + 86407. Determine b(-384).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of o**5\/10 + o**2 - o - 4. Let n(s) be the first derivative of w(s). What is the first derivative of n(v) wrt v?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0046582 to four decimal places.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 90 - 163. Let k = 72.5 + f. What is the closest to 0 in -1, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11*o**2 - 39*o**2 + 63*o**2)*(-4*o**2 + 2*o**2 + o**2) to u*o + m*o**4 + g*o**2 + x + q*o**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -73832*v + 516056. Calculate w(7).\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + 5*p**2 + 2*p - 5. Let x be f(-4). Let y(l) = 2*l - 3. What is y(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -14869012.\nAnswer: 2973802.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 9:09 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 4*f - 6. What is the lowest common multiple of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2760170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*a**2 - 8393*a + 5*a**2 + 31*a**2 + 8207*a as d*a + h + r*a**2 and give d.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45\/882*(-812)\/(-1740).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20308*n = -20930*n + 62200 for n.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -7*v**3 + 8*v**2 - 8*v. Let b(n) = 2*n**3 - 3*n**2 + 3*n. Let j = -18 - -21. Let g be 3*-1*(-12)\/(-27)*-6. Determine g*b(t) + j*z(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45)\/30*(3 - (-145)\/(-15)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60 = 82*m - 15 - 335 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l**4 - 3388*l**2 + 3388*l**2 - 3*l**5 + (3*l + 2*l - 3*l)*(-4*l**4 + l**4 + 4*l**4).\nAnswer: -l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 6:24 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2893*r**2 - 2458*r + 10. Let u(c) = -2889*c**2 - 2462*c + 12. Let x(w) = -5*u(w) + 6*y(w). What is the second derivative of x(m) wrt m?\nAnswer: -5826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 76\/69 + -10\/23. Let z(s) be the first derivative of u*s**3 + 2*s + 0*s**2 - 1. Find the first derivative of z(f) wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of y**5 - 1443*y**4 + 3*y**3 + 2*y**2 - 359222*y?\nAnswer: 60*y**2 - 34632*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 17*m**2 + 43*m**2 - 2 + 0 to the form a*m**2 + y*m + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 978\/7, 5, -7, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a second in milliseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2  (b) 1\/10  (c) -1\/2  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7049687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 1\/8  (c) -1  (d) -5.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -75*n**3 - 2*n**2 + n + 1. What is o(-1)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f - 3. Let k be t(3). Let q be 2\/6 - 531\/(-27). Suppose k*v - 2*v = -q. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rup when three letters picked without replacement from ppuurtmrptrtmoor.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5547535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.08 - -0.02. Let i = 21.9 + -18. Let r = i + n. What is the smallest value in r, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5b3 - -38?\nAnswer: 5eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10041422*s**3 - 51*s + 1534 wrt s.\nAnswer: 60248532*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/11 + 1*-3. Let g be 54 + (i - -6) + -6. Let c = -23 + g. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 55 and 172643581.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rptdtxrg. Give prob of sequence xtd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15185*y**2 + 7484*y**2 - 8296*y**2.\nAnswer: 14373*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 3*j**5\/4 + 459*j**4\/2 + 3237*j**3\/4 - 58101*j**2\/2 + 51471*j + 221970 = 0.\nAnswer: -302, -14, -2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 16113 at least as big as 16125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 182516266 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 70 + -65. Suppose -k*w - 6 = -2*w. Let t(a) = 0 + 3*a + 4 - 2*a**3 - 3. Let q(d) = 6*d**3 - 10*d - 3. Calculate w*q(n) - 7*t(n).\nAnswer: 2*n**3 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 923 divided by -923\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*4*sqrt(112) - (sqrt(567)*1 + -3))**2.\nAnswer: -342*sqrt(7) + 22752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 205 + -71. What is the remainder when s is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f + 53*c - 121 = 58*c, -66 = -6*f + 4*c for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 101*n**2. Let h(t) = -120670*t. What is h(o(q))?\nAnswer: -12187670*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let h = -4948 - -4947.9932048. What is h rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - 21304?\nAnswer: -21313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2*c**2 - 2*c - 3. Determine o(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*j**4\/11 - 150*j**3\/11 + 282*j**2\/11 - 186*j\/11 + 36\/11 = 0 for j.\nAnswer: 1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*(y**(-1\/3)*y)\/y*y*y)\/y*y*y)**46\/(y*y*y*y\/(y**(-2\/5)*y)*y)**16 assuming y is positive.\nAnswer: y**(1474\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 235 and 45.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 7, n: 1, o: 9, p: 2}. What is prob of sequence npop?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-20)\/6 - (-1)\/3. Let s = 3 + q. Suppose -3*d + 12 + 20 = b, s = 3*d + 2*b - 31. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*(-8)\/(-160)*12\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*p**5 - 18124*p**4 - 6074997*p**3 + 171057634*p**2 + 596597380*p + 87713400 = 0.\nAnswer: -710, -3, -2\/13, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -6 - 3. Suppose -o*r = -1 - 14. Suppose -2*s + r*p = -22 - 7, 0 = -s - 3*p - 2. What is the remainder when 12 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3553*q**2 + 1927*q - 6 = 0.\nAnswer: -6\/11, 1\/323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, u: 3, p: 4}. What is prob of sequence ppl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -3*l. Solve l = 5*a + 3 + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -1130541491.\nAnswer: -1130541494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (42\/15)\/(1\/5). Suppose 0 = -t + 2 - 0. Calculate the greatest common divisor of b and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 9) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -4*y - 41. Let v be d(-19). What is v rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 193*f - 2698. Let i be x(14). Suppose 0 = j + 5*q + 19, -2*j = -0*q + 3*q + 10. Sort j, i, 6.\nAnswer: j, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -45*a*f**2*i**2*n - 2*a*f**2 + 13*a*i*n + 2*f**2*i**2 - f**2*i*n - f*i**2*n - 2*f*i + f*n wrt i.\nAnswer: -90*a*f**2*n + 4*f**2 - 2*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = x. Let r = 12 + -7. Let m be (r\/(-10))\/(14\/4). Which is bigger: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, d: 4, x: 5, l: 3}. What is prob of sequence lnxl?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y - 8. Let h be v(-5). Let d be h + (0 - -6)\/3. Suppose 27 = 4*q + d*u - 5, -3*u = 2*q - 20. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of 0 - l**3 - 17\/2*l**2 - l. Let k(w) = 2*w + 6. Let y(u) = -10*u - 30. Let j(g) = 11*k(g) + 2*y(g). What is 4*a(m) + 11*j(m)?\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**0)**(-11)*v**(-1\/13)\/((v**3*v)\/v) assuming v is positive.\nAnswer: v**(-183\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*h**3 - 24*h**3 + 9*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - 291?\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -34 - 46a?\nAnswer: -4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -59*f + 75*f - 1040. Calculate the highest common divisor of f and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13768*q**5 - 398*q**2 - 6919050*q?\nAnswer: 275360*q**3 - 796","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 81\/16 and 125\/282.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**(-1)*g)*g)**(-33)*(g\/(g**(1\/4)*g)*g)**31)**(1\/57) assuming g is positive.\nAnswer: g**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from evepepaaazaepj. Give prob of sequence ve.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, -2\/9, 8, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 5*x + 1. Let p(a) = 10*a + 1. Let q(r) = 2*p(r) - 5*w(r). What is the derivative of q(n) wrt n?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2470*p + 59279. Let a be t(-24). Let c(x) be the third derivative of -x**4\/8 + x**3\/6 + x**2. Calculate c(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-6) + 36\/27. What is the tens digit of -24*(-2 + f) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -4, -2, -6.\nAnswer: -6, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 904937 is divided by 22562.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*n - 8484 + 9600 = 0 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m + 18. Calculate x(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 9\/199, -0.5, 15 in decreasing order.\nAnswer: 15, 9\/199, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4087 - 4087 + j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of 7*x**5\/60 + x**4\/6 - x**3\/6 + 22*x**2. Let t(f) = 6*f**2 + 3*f - 1. Determine -5*l(w) + 6*t(w).\nAnswer: w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 4, 2\/23, -0.18, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0028091 rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2057 and 29329553.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7244 - -13305. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -1. Let i = 11650 - 11648. Solve i*p - q*k = 0, -p - 12 = 4*k - k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3778)\/(-74) + 28\/(-518). What is the highest common divisor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -3*i - 0*i + 69, 2*i = f + 23. Let k = 51 + f. Suppose -q = 3*q - k. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -49*h**3 + 5*h**2 + 7*h - 13. Does 11 divide t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.224305 and 4?\nAnswer: 2.775695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 19*a - 1632. Calculate the remainder when a is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18801 - 7715. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-335)\/(-201) + (-187)\/99\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 39.13 - 40. Let k = -0.870152 - j. What is k rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5546*a**3 - 2876*a**3 - 2663*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 205122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 6:38 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1771 is divided by 1434.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29501*w**3 - 5*w**2 + 2*w**2 + 3*w**2.\nAnswer: -29501*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 94 = -4*n - 0*n, -5*n - 4*y + 122 = 0. Let w = 269 + -260. What is the remainder when n is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (44\/(-5203))\/(-5 - 1) and 76\/1419.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.6 - 0.6. Let a = 2 - t. What is the biggest value in -0.12, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the first derivative of 3501*r**3 - 523*r**2 + 1601. Find the second derivative of a(q) wrt q.\nAnswer: 21006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -115470 divided by 57735?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/(-4))\/((-6)\/10 - 2223\/(-2280)). Solve -2*s - z*c = 16 + 8, -2*s - 28 = 5*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.500427 hours to seconds.\nAnswer: 27001.5372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8888287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1*14\/1)\/((-2)\/(-3)). Suppose -35 + o = -7*h. Let k(r) = 2. Let v(d) = -2*d + 11. Give h*v(w) - 10*k(w).\nAnswer: -4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (13 - (-266)\/(-14)) + -2*(-3 - -16)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**3 + 0*k**3 + 0*k**3)*(5*k - 4*k - 3*k)*(-1 + 1 + 2)*(-1 + 3 - 1).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10128465043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of -f**6\/120 - f**5\/30 - f**3\/2 - f**2. Let n(w) = w**3 - w + 1. Let q(o) = g(o) + 2*n(o). What is the units digit of q(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 281 is divided by 56.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.4661*-266\nAnswer: 123.9826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**2 + 4*b + 7. Let g be d(6). Let o be ((-2)\/10*g)\/1. What is the second biggest value in 5, o, 3\/4, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 181 + -88. Calculate the remainder when 2\/((-12)\/(-2))*q is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.2 + -3.20000292. What is a rounded to 7 decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 80*i + 2. Determine r(-1).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-130)\/325*(-2)\/(-4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -8*r. Let p be z(-1). Let f be (-3)\/((-12)\/p) + -2. Solve -5*i - 13 = 2*a, i - 15 = -f*a + 4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n - 1 + 1)*(7 + 12 - 2) - 2 - n + 2.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + 4*v + v)*(741*v + 26 + 5*v**2 - 741*v).\nAnswer: 5*v**3 + 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/58779112 and -57\/17080.\nAnswer: 293895560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i - 223. Let u(t) = -3*t + 217. Determine 7*r(y) + 6*u(y).\nAnswer: -4*y - 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 + 12*p + 1. Let r be z(-12). Calculate the smallest common multiple of 2 and -2 - r*(-9 + -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6264107 divided by -4?\nAnswer: -6264107\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 + 29. Sort g, 0.3, -5 in increasing order.\nAnswer: -5, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 455 divide 6129248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138*z**2 + 29*z**3 - 73*z**2 - 31*z**3.\nAnswer: -2*z**3 + 65*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1584 + -0.15839219. Round k to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -2*l + 3*k - 10, -4*l - 5*k = 33. Let g = l - -11. What is the derivative of 7*h - 7*h - h**g - 1 wrt h?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -73a - -d425?\nAnswer: cbda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-858)\/(-273) + (-1)\/7. Suppose -p*u = -u - 458. List the prime factors of u.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j. Let p(b) be the second derivative of b**3\/3 + 13*b - 7. Suppose 0 - 32 = 4*w. Let l(g) = w*d(g) + 3*p(g). Let n(m) = 11*m + 4. Calculate n(l(x)).\nAnswer: -22*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12417?\nAnswer: 3, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) 0.5  (b) 4\/3  (c) -112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20675591 is divided by 90.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -66 - -77. Suppose 0 = -c*r - 597 + 3622. Calculate the greatest common factor of 25 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32 + 44. Solve -2*t + 3*t = 4*s + 3, 4*t = 2*s + r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*j - 31*j + 5*j**2 - 75 - 24*j = 0. What is j?\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 40 - (-21 - 24)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5651409120.\nAnswer: 2, 3, 5, 7, 23, 31, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 PM and 3:11 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -12*j**3 + 6*j**2 - 8*j. Let h(d) = -8*d**3 + 4*d**2 - 5*d. What is -8*h(q) + 5*u(q)?\nAnswer: 4*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 - 37. Let f = 35 + 21. Let l = f + m. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes before 1:39 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 297*m + 289*m - 123*m + 84*m + 331*m.\nAnswer: 878*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161 is divided by 63?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -120*q**3 - 225*q**2 + 3895*q - 17755. Let v(h) = 11*h**3 + 21*h**2 - 354*h + 1614. Let k(r) = 6*o(r) + 65*v(r). Suppose k(a) = 0. What is a?\nAnswer: -9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h - 14150*h**2 + 7070*h**2 + 7068*h**2.\nAnswer: -12*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2728 or -2729?\nAnswer: -2729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 32 = -112. Let o = -2 + m. Calculate the smallest common multiple of o and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n + 4 = 12*n. Let l(s) = 33*s**2 - 10*s - 8 - 16*s**n - 18*s**2. Calculate l(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-108)\/15)\/3 - -2. Let p = -4 + 3.9. Suppose 2*d = -3*u - 7, -3*u - 8 = -5*d + 6. Which is the nearest to p?  (a) -2\/13  (b) u  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5340 + 5344. Let r(m) be the first derivative of 0*m + 0*m**c + 0*m**3 - 1\/2*m**2 + 16\/5*m**5 - 10. Find the second derivative of r(d) wrt d.\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -804.2 + -115.8. Let m = y - -911.02. Let d = m - -9. What is d rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, p: 9, k: 7}. Give prob of picking 1 k and 2 o.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2097*n**2 - 5 - 10 - 536*n**2 + 15 to s*n**2 + f + h*n and give s.\nAnswer: 1561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 610071*0.1\nAnswer: 61007.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 - 51*t**2 + 4*t - 182. Calculate the remainder when 22 is divided by b(51).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -426500, -426501, -426502?\n\"Answer: -q - 426499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 76279582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 520 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o**3 + o**3 + o**2 + o**3)*(-3 - 10 + 1).\nAnswer: -24*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 4*z**2 + 11*z - 4. Let v be u(-6). Suppose -v*a + a + 3 = 0. Suppose -q - q - a*j = -84, -2*j = -2*q + 74. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -11. Let m = b - 2. Sort m, -1, -4 in increasing order.\nAnswer: -4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5021\/4 - 1248. Calculate the common denominator of h and ((603\/(-150))\/(-1))\/(6\/5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -2*x - 2. Let b(v) = -8*v - 15. Let j(w) = -8. Let q(h) = 1. Let p(g) = -j(g) - 6*q(g). Let y(c) = b(c) + 3*p(c). Calculate -9*s(o) + 2*y(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1412032 to the nearest integer?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17226997.\nAnswer: 59, 291983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + -1505343?\nAnswer: -1505352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2.12, 0.03, 0.1 in decreasing order.\nAnswer: 2.12, 0.1, 0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1633 + -1981. Is -3\/7 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 y when three letters picked without replacement from iycicy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -236*o - 268*o - 226*o + 212*o. Let m(k) = -k**2. Calculate f(m(h)).\nAnswer: 518*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(4\/21)*k**14)\/((k\/(k**(-2\/19)\/k*k))\/(k\/k**(-1)*k)) assuming k is positive.\nAnswer: k**(6418\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -181387745 divided by 11?\nAnswer: -16489795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -25 from -181811868.\nAnswer: -181811843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -143*v**3 + 3*v**2 - 2. Let z be t(-1). Suppose -5*q + 808 = 2*h, z = q - 3*h - h. Suppose 4*s - q = 2*g, s - 34 = -g + 3*g. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 4*r**2 + 9*r + 2. Let q(n) = -2*n**2 - 5*n - 1. Let i = 21188 - 21193. Let b = 8 - 11. What is b*s(a) + i*q(a)?\nAnswer: -2*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (y**3 + 6*y**3 + 7*y**3)*(-y + 2*y + y) as i*y**3 + z*y**2 + r*y**4 + d*y + b and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32283606.\nAnswer: 2, 3, 709, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73991987 is divided by 1358.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 135739790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1768380 + -5?\nAnswer: 1768375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -157*k**2 + 463*k**2 - 8*k + 4*k + k to the form c*k**2 + j*k + h and give c.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49.9928 litres to millilitres.\nAnswer: 49992.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 116, -1\/4, 1\/21, -2?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -3. Let d(n) = -n + 2. Let o(r) = -3*d(r) - 2*h(r). Let j(w) be the third derivative of w**4\/12 + w**2. Calculate j(o(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 4*c = 5*c - 5120052, -4*c + 1280028 = x. Suppose -3*l = 2*j + x, 0 = 3*j + 2*l + 2*l + 1920016. Round j to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 829007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -7*v + 1. Let f(l) = 6*l - 1. What is -4*f(c) - 3*k(c)?\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18741230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 7, l: 4}. Give prob of picking 1 c and 3 l.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2600.993764 + 2601. Round h to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -49 - -51. Solve -5*u + 5*l = 5, b*l + 7 = u + 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/12)\/((-58)\/(-116) - 142\/4).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 343481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1356 - 1352. Let r(o) = 5*o**2 + 2*o + 1. Let k be r(-1). Solve 5*n - 3*g - 17 = 0, 3*g - v = k*n + 5*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 + 5*l**2 - 6*l + 2. Let q be i(-6). Let h(x) = -x**3 + 3*x**2 - 1. What is the smallest common multiple of h(q) and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5464327?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 35784512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1590180 rounded to the nearest ten thousand?\nAnswer: -1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqquccuqqrq. Give prob of sequence cc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fifty-two thirds of a hour?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 4 - 4. Let c = -17 - -19. Calculate the remainder when d is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1597.2378 + 1595.9. What is l rounded to 2 decimal places?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -62245.6 + 819.43\nAnswer: -61426.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.6 - -1. Let k = -1 - i. Which is the nearest to 2\/7?  (a) k  (b) -0.1  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, -0.4, -35, -53, -1.2?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = u + 2*u. Let m = -1 + u. Determine j so that j**m - 2*j - 3*j**2 - 4 - 2*j + 2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 5, b: 8}. What is prob of sequence bvbb?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(152)*1*2 + sqrt(152) + sqrt(152) + sqrt(152))*-1)\/(1*(sqrt(392) - -2*sqrt(392))) + 1)**2 + -4.\nAnswer: -10*sqrt(19)\/21 - 848\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 260 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 AM and 2:24 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 656911.2 decades?\nAnswer: 65691.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-11694)\/(-15))\/(6\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from {r: 1, b: 5, n: 8, e: 2, y: 3}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 AM and 3:11 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -14*g + 11 - 10 + 18*g + 8. Give b(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 PM and 9:15 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16*g**4*m*n + 3*g**3*m + 2*g**3*n - g*m + 3*m*n - 3*n wrt g?\nAnswer: 192*g**2*m*n + 18*g*m + 12*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 702.98525 from 1.\nAnswer: -701.98525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-149142)\/22 - (-4)\/22. Let z be 6\/9*5\/((-30)\/(-60937)). Let v = z + k. What is the common denominator of 41\/7 and v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 748800 and 973440.\nAnswer: 9734400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*v**2 + 0*v**2 - 6*v**2)*(11 - 2 - 3) to the form l + b*v**2 + f*v and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**3 - 2*h**2 - 8*h + 8 = 0. What is h?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 3*m - 11 - m.\nAnswer: 2*m - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u. Let c(p) = -p - 5. Let t(x) = x + 3. Let r(s) = -3*c(s) - 5*t(s). What is w(r(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 3*j**2. Let x be (2 - 3)*(-4)\/2. Let d(i) = 3*i - i + 3*i + x*i. Calculate d(a(y)).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (99\/15 - -2) + -9. Which is the closest to 2?  (a) 25  (b) -2\/3  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10.51168nm to micrometers.\nAnswer: 0.01051168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/9)\/(-7 + (-2195)\/(-315)). Let w(h) = -h**2 - h - 1. Let p(j) = -15*j**2 + 7*j + 7. Determine t*w(b) + 2*p(b).\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 120 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of 11*b**5\/20 - b**4\/3 + b**3\/2 - 22*b**2 - 2*b - 4. What is the second derivative of y(j) wrt j?\nAnswer: 66*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14533\/6 + 2433. Find the common denominator of 213\/(-12)*(-2)\/(-8) and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -49318.211 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1845.7011 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -26426 divided by 13213\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-88)*(-264)\/220\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-47)\/11 + 2\/(-2 + 80\/32)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -167 (base 15) in base 5?\nAnswer: -2242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 85236022 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 + ((-1)\/2)\/((-2)\/4). Let n be (2 + -3 + 5)*(-3)\/u. Solve n*f + 10 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -250\/651 - -11\/217. Which is the closest to h?  (a) -59  (b) 3\/4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(72) - (sqrt(72) + 0 + sqrt(72))) + sqrt(72))**2*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that r**2\/7 - 646459*r\/7 = 0.\nAnswer: 0, 646459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106*c = -101*c + 25. Let b be (2 - 5)*3 + 1. Let t = b - c. Is t greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*s + 10104 + 38292 = 0. List the prime factors of s.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + -1*3\/3. Let h = 3.8 + -4. Sort f, h, 2 in descending order.\nAnswer: 2, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 9 + 4 = 0. Let p be (-3 - (0 - z)) + 0. Let i(m) = -2*m + 9. Let n be i(7). Put p, 0, n in decreasing order.\nAnswer: 0, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8381721 is divided by 2793886.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2*j - 2 = 2*w, -4*w - 34 = -5*j. Let l(i) = -5*i - 12. Let o be l(w). Suppose 20*v - o*v = 14. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 7 + 1)*(i - i - 2*i + (-i - 2*i + i)*(-5 - 1 + 5) + i + 4 - 4 - 2*i - 1 + 1).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11276 is divided by 11204?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 4 + -1 + (-6 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 31502474?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:27 AM and 4:01 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**0)**(-1\/3)*(a\/a**(-4\/23))\/(a*(a\/a**10)\/a) assuming a is positive.\nAnswer: a**(234\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 628804915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 187280?\nAnswer: 2, 5, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 182 and 71526?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 - 7*s**2 - 8*s + 9. Let g = 933 - 925. Determine j(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 + 5*d**2 + 3*d + 6. Let k(c) = c**2 - 7*c + 5. Let a be k(5). What is w(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**2 + 2*v + 30. Let t be i(0). Suppose 4*g = -12, -t = f + 2*g + 3*g. Is (48\/30)\/((-2)\/f) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -152\/7 or -42.9?\nAnswer: -42.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.66 and -2.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -p - p. Let m be (0 - -1)\/(1 - p). Does -1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of m**3\/3 - 2*m**2 - 92*m. Let t(v) = 6*v - 12. Let r = -10 + 13. What is r*t(s) - 10*b(s)?\nAnswer: -2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2507698589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (159 - (29 - -10)) + -36 + -19?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 20906966 to the power of 1\/2, to the nearest integer?\nAnswer: 4572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 + 5 = 6*q. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8260 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 120 + -957\/8. Find the common denominator of -83\/66 and b.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 2 = 0, h = -3*f + 3*h + 91. Find the third derivative of -26*p**2 - 3*p**6 + 0*p**6 + f*p**2 wrt p.\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -26516.\nAnswer: 1\/13258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30621 (base 8) to base 5.\nAnswer: 401224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.5  (b) 3  (c) 26  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 1072200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 AM and 10:01 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 - m**2 + 3*m + 4. Let p be o(-2). Solve p = 5*d + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5.1 - -9. Let h = 0.9 - a. What is the closest to h in 0.3, 0, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 + j**2 - 4*j**2. Suppose -5*v + 4*v + 10 = 0. Let n(h) = -h + 1. Let f(g) = -4*g + 2. Let s(t) = v*n(t) - 5*f(t). Determine y(s(x)).\nAnswer: -200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -350326 (base 7) to base 13\nAnswer: -2264b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - 11 - -3 - -11 - 24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3462 and 577?\nAnswer: 3462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f - 3*c + 42, -f + 8819*c + 22 = 8821*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -239*j**4 + j**3 + 11249*j**2 + j + 23907658 wrt j?\nAnswer: -2868*j**2 + 6*j + 22498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -3*h**2 + 13*h - 11. Let n(d) = -d**2 + 6*d - 5. Give 9*n(m) - 4*v(m).\nAnswer: 3*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -36 + 44. Suppose -13*o + f*o = -80. Solve -b + 13 = o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = 4*y - 340. Suppose -67 = -5*u + s, 6*u + 5*s = u + y. Let z = 58 - 58. Sort u, -5, z in descending order.\nAnswer: u, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**2 + 272*a**3 - 132*a**3 - 130*a**3)*(-6*a + 2*a + 5*a).\nAnswer: 10*a**4 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 71194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2*m + 10. Let u be v(-5). Let g(d) = d**3 - d**2 + 11. What is g(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = u + 19. Suppose u = 3*c - 12, 5*n - 4*c - 242 = 2*n. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -9 + 10 - 2*(-2)\/4. Let a(w) = 3*w**2 + 4 + w**2 - 3*w**p. What is a(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13559017*f**2*g*z + 31*f**2*g + 262*f**2 - 7*f*g*z + 2*f*g + 8*f - 37*g + 5 wrt z.\nAnswer: 13559017*f**2*g - 7*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 + 20*j**2 - 48*j - 42. Calculate the remainder when x(-13) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/1)\/((-1)\/1). Is ((-3)\/(-3))\/(s\/249) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5237 from -0.1.\nAnswer: -5237.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11307*w + 11372*w - w**2 - 22679*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 7*x - 36 = 0. Suppose 2*u + 2*g = 136, -3*g = -u + 14 + 70. Calculate the highest common factor of x and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/4)\/(1\/(24\/9)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - 6)*(2 - 3 - 1)*(4*l + 0*l + 2*l)*(2 - 2 + 1).\nAnswer: 84*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*l + 11*l = 18. Let t = -42 + 75. What is the remainder when t is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -255, -1998, -4895, -8940, -14127?\n\"Answer: g**3 - 583*g**2 - g + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 701*i - 12360 = 686*i. Calculate the greatest common divisor of 1545 and i.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -14 + 328928?\nAnswer: 328914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-8)\/z*z*(z*z*z**10)\/z*z)**(-13))**(1\/57) assuming z is positive.\nAnswer: z**(-52\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 10:40 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8019 + 8054. Calculate the smallest common multiple of c and 1008.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 40 = 4*s, 2*s - 20 = 3*q + q. Suppose -5*x + 32 = d, 2*x + 6*d - 5 = 3*d. Calculate the smallest common multiple of s and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14715 + 14687. Let y(c) = -c**3 - 26*c**2 + 55*c - 36. Determine y(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12, -65, -206, -477, -920, -1577, -2490?\nAnswer: -3701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 831247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6488 and 1544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130 = 31*o - 72 + 221. Sort -39, -3, o, -2 in descending order.\nAnswer: -2, -3, o, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.9 + 85.1. Let i = u + 16. Let x = i + -98. Which is greater: 0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 11*m + 2. Let v = 39 + -34. Let p be l(v). What is the highest common divisor of 38 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, w: 5, u: 3, o: 1, t: 1, v: 1}. Give prob of sequence owb.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -29672 greater than -29634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.61 + -0.11. Let m = 10.5 - u. Let q = m + -6. What is the third biggest value in q, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 - 147*d + 569. Give y(143).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from acquuqao?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 66\/759*-23*(330\/(-40))\/((-1)\/(-6)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - (0 + 1 + 0). Let r be ((-1)\/(1\/2))\/((-4)\/10). Sort r, f, 0.\nAnswer: f, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 91, 1 in decreasing order.\nAnswer: 91, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1020 - 5508 = -374*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8804 - -297?\nAnswer: 8a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyfoyzffyfuofjyoo. Give prob of sequence ffz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25 - -27. Suppose -l + h = 2*o, l + 3*o - 15 = -16. Solve -5 + l = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 57340543 to the nearest integer?\nAnswer: 7572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 + -7 - (-13770)\/990)*(7 - 1).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (72\/(-2))\/((-3)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 255*y**2 + 2*y + 4115?\nAnswer: 510*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4799, -9531, -14131, -18539, -22695, -26539?\n\"Answer: 10*g**3 + 6*g**2 - 4820*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 38272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 296926 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3.8 from -3288.235.\nAnswer: -3292.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 67 + 4 + (-5)\/(-5). Suppose 7*d = 6*d + j. Let r = 90 - d. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*u - 1104 = 16*u. Which is the second biggest value?  (a) 0.1  (b) u  (c) 4  (d) 4\/3  (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - s - 18. Let l be 4 + 0*1\/(-3). Solve -l*f = 2*r + 10, -3*r = -s*f + 4*f + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - -17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9423407 years in months?\nAnswer: 11.3080884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153) - -1*(1 + sqrt(153))**2 - sqrt(153).\nAnswer: 6*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 47033288 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 238382 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 149*q - 936 = -42. Solve 13*t = -q + 19 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of -y**4\/12 - y**3\/2 + y**2. Let f be (-26)\/13 - (1 + 2). What is the units digit of r(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2752749 divided by 917583.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 0 - 1\/8*s**2 - 9\/8*s = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*q**5 + 103064*q**4 + 103008*q**3 - 1339784*q**2 - 103012*q + 1236720 = 0. What is q?\nAnswer: -25765, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 - 50 = -19*j. Let v be ((-11)\/2)\/((-1)\/2). What is the units digit of v\/(3*1\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (8 - 8)\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/2584 and -73\/408?\nAnswer: 7752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (45\/60)\/(1\/4). Let a(d) be the third derivative of 3*d**2 + 0 + 0*d + 1\/72*d**4 - 1\/18*d**m - 1\/360*d**6 + 1\/180*d**5. Factor a(o).\nAnswer: -(o - 1)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2448) + (sqrt(2448) + -1 + 0)**2 + 3 + (sqrt(2448) - (sqrt(2448)*-2)**2).\nAnswer: -7340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-3\/8))**(-35)\/(w\/w**(-4))**(-1\/7) assuming w is positive.\nAnswer: w**(-1185\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - -6. Let n be (-1142)\/(-8) + 1\/4. Let i = -575\/4 + n. What is the third smallest value in -1, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g**2 + 12*g - 6. Suppose 0 = -5*n + 4*i + 29, -4*i = 6*n - n - 21. Let l be r(n). Solve -3*y + l*u = 2*u + 7, 0 = u + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 128734733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1993 - -2059. What is the highest common divisor of 21 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-9) + (-44)\/36. Suppose -4*t - 13*t = -4*t + 39. Put t, w, 1, -2 in descending order.\nAnswer: 1, w, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22345 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -369, -2549, -8109, -18627, -35681, -60849, -95709?\n\"Answer: -263*s**3 - 112*s**2 - 3*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3264561744?\nAnswer: 2, 3, 68011703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8991336 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.07 - 0.03. Let n = 69413.2 - 69413. What is the third biggest value in n, q, 38?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8369*d - 12665?\nAnswer: 8369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.99868459 rounded to four decimal places?\nAnswer: 0.9987","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 - 17. Suppose -3*z + 69 = -x*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 - (1 + (0 - -1)). Let v = c + 7. Suppose -1 = g - 3. Sort -3, v, g in descending order.\nAnswer: v, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 75290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 404*d**2 - 2*d + 1. Let z be r(1). Suppose q - 4*b + z = 0, 1532 = -4*q - 4*b - 0*b. Is (-2)\/(-8) - q\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 9 = 23. Let t(o) = -3*o**3 + 4*o**2 - 2*o. Let u(y) = -3*y + 4*y + y**3 - 2*y**2 + y**2. Give x*u(c) + t(c).\nAnswer: c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -y**2 - 2*y**2 - 15 - 126*y**3 + 136*y**3 + 2*y + 3*y**2 to the form j + k*y**3 + n*y + f*y**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 417139 and 3058.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.03 in -3\/38, -108, 3?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2 + 5 + 24*f - 7 + 23*f. Let y be x(1). Are y and 43 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 27 = 6*y - 3*r, 0 = -y + 5*r - 28 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 300, 1070, 2324, 4068, 6308, 9050, 12300, 16064?\n\"Answer: u**3 + 236*u**2 + 55*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3467999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 2*q = 5*m - 21, 2*q = -5*m + 29 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of 14*d**3 - 15. Let b(k) = 2*k**2. Give h(b(q)).\nAnswer: 168*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 16, 1\/4, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -388 - -576. Let h = r - 187.999824. What is h rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 2*q + 2, -4*r + 2*q = 3 - 17. Factor 6 + u**3 - 3*u**r - 3*u - 20 + u**4 - 2*u + 12.\nAnswer: (u - 2)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 183407188*w + 181713589 wrt w.\nAnswer: 183407188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1740, -6039, -12928, -22407, -34476?\n\"Answer: -1295*x**2 - 414*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 4*f**4\/5 - 12556*f**3\/5 - 4*f**2\/5 + 12556*f\/5 = 0.\nAnswer: -1, 0, 1, 3139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 132ca8 - -5?\nAnswer: 132cad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-3))\/((-24)\/(-108))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1558313810 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -110 - -20130?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 + 1)*(-1 + 4 - 5)*(-201 + 15075*m - 211 + 412).\nAnswer: 60300*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.97 + -0.03. What is the nearest to -1 in i, 0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i + 7. Let q be b(-5). Suppose 2*o + 2*a = -2*a - 2, -o + q*a + 7 = 0. Suppose f + 1 = x - 0*x, -4*f + 24 = o*x. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 915.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -644937 - -1754366. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3326 - 3156. What is the remainder when 6287 is divided by o?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1438803521.\nAnswer: 43, 463, 72269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 81114 and 66.\nAnswer: 81114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1825412002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z + 7. Let k be x(-5). Let j = 371\/57 - -14047\/38. Let y = 377 - j. Which is greater: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*m**2 - 4632609*m + 6485682.\nAnswer: -3*(m + 308842)*(5*m - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.792 + 0.06. Round l to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -253030 minus -22.65336?\nAnswer: -253007.34664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -285564007 rounded to the nearest one million?\nAnswer: -286000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/6*12\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -5. Let z = x + -1. Let w be 2*2*z\/4. Sort 0.5, w, 2\/3 in descending order.\nAnswer: 2\/3, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 14) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11955 - 2002. List the prime factors of o.\nAnswer: 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4138 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 526913 to the power of 1\/2, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)\/(sqrt(110)\/sqrt(99)) + (sqrt(90)*3 + sqrt(90))\/sqrt(5) + 5)*3 + 3.\nAnswer: 18 + 63*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 13*o - 55 = 0, 4*j - 38*o - 10 + 75 = -3*j - 39*o for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -39  (b) -2\/3  (c) -0.4  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/(5*(sqrt(11) - sqrt(11)*-2)).\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-63 - 0) - (-20944 + 20973).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 0*l + 2. Suppose -b + l = y, y + 6 = 2*b + 5*y. Let i be (1 - -2)*(22 - b). Calculate the greatest common factor of i and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 17\/4 of a millisecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2036*k**4 + 15*k**3 - 103894*k**2 wrt k?\nAnswer: 48864*k + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, -2\/97, 0.2 in increasing order.\nAnswer: -19, -2\/97, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + -1. Let r(v) = -v**3 - 2*v**2 - 2*v - 2. Let n(a) = -3*a**2 - 3*a - 3. Let k(s) = -3*n(s) + 4*r(s). Let u be k(g). Solve u*l = 1 + 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 60823 or 60822?\nAnswer: 60823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -v**6\/36 + v**5\/6 - v**4\/4 - 2*v**3\/9 + 2*v**2\/3 + 75. Factor z(c).\nAnswer: -c*(c - 2)**3*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 24894354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/8 - (-20 - 1751\/(-84))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 525 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67, 359, 855, 1561, 2483?\nAnswer: 3627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 7547873, 10, -2 in descending order.\nAnswer: 7547873, 10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s, u - 3*s + 7*s = 256. What is u rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a micrometer in nanometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 304 and 186504.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 0.1572202.\nAnswer: -4.1572202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 628965*g = 629027*g - 2170 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(44)\/sqrt(4) + sqrt(11) + 0 - (sqrt(704) + sqrt(44)))*-3)**2 + ((sqrt(539) - (sqrt(539) + -2*sqrt(539))) + -5)**2 + 2.\nAnswer: -140*sqrt(11) + 8520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 2. Let m = 0.9 + w. Let x = 0.9 - 0.9. Which is the third biggest value?  (a) x  (b) m  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.22 - -77.22. Let t = -75 + m. Which is the nearest to -2\/3?  (a) -0.3  (b) t  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 12c6 - -5?\nAnswer: 12cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 7:41 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 - -63. What is the remainder when y is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -19*n - 12*n - 87, 37*n + 33 = 3*d + 20*n for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-1071))\/(1926\/2247)?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1701 - 1704. Let t = 0.7 + -0.64. Let o = -5.06 + t. What is the biggest value in 9, o, i?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14 + 7 - 53) + -18 + -2 + 26.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -28*u. Suppose -6*w + 9*w - 3*v + 3 = 0, -w = -5*v + 17. Let l(c) = 10*c - 8*c - w*c + 14*c + 3*c. Determine s(l(g)).\nAnswer: -448*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/(-2))\/(2\/24). Let a = 4 - j. Let i(h) = -2*h**3 - h**2 - 2. What is the units digit of i(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*p - 99 - 330 = -5*p. Solve -104 = -p*w - 71 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3942873204?\nAnswer: 2, 3, 328572767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1751 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 16\/6*(-3)\/(-2). Suppose 3*l = l + q. Let b = -7 - -5. Sort l, b, 4.\nAnswer: b, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -106799292 by 5933294.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p**4 - 132*p**3 + 130*p**2 = 0.\nAnswer: 0, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + (7 + -2 + -4 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -487*r + 10. Is c(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -274 from 0.3.\nAnswer: 274.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 4*l + 43. Let f be u(-13). Let c(r) = -116*r**2 - 4. Let x be c(f). Round x to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**5\/(z\/z**(-3))*z**(-2\/23)*z*z**5 assuming z is positive.\nAnswer: z**(159\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x\/x**(-4))*x*x**4)**(-15) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of 2*p**4\/3 + 4*p**3\/3 - p**2\/2 - 13*p. Let s(z) = -15*z**2 - 15*z + 2. Calculate -11*g(f) - 6*s(f).\nAnswer: 2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -3*t - 69. Calculate o(-34).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 + -1.77.\nAnswer: -2.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -658, -658, -666, -688, -730, -798, -898, -1036?\nAnswer: -1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 2*z + 3*h + 30, -9 = 3*h. Let s = 7 - 14. Is s > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - p + 5*p)*(2*p + 15*p - 8*p) + 83*p**2 - 39*p**2 - 41*p**2.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 440.99649 + -441. Round c to 4 decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 7*k - 68. What is c(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -114*r**3*s**3 - 1158303*r**3 - 15*r*s**3 - 2*r*s**2 + r*s + 1664*r - s**2 - 1 wrt r?\nAnswer: -684*r*s**3 - 6949818*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.3  (b) -2\/39  (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -4, -5, -3 in ascending order.\nAnswer: -5, -4, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add 236402243923 and 506.\nAnswer: 236402244429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 - 23*z - 24. What is the tens digit of j(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/(-12)*(-80)\/(-50).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**15\/d**(-27) assuming d is positive.\nAnswer: d**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 174 a factor of 5089139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 6 = 6*y - 3*y, 3*y + 18 = -4*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5060917*o**5 + o**2 - 1331037*o + 4?\nAnswer: -101218340*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - m - 756 = 0, -9*f + 7*f + 792 = 5*m. Solve f*g = 382*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26, 110, 328, 746, 1430, 2446, 3860?\nAnswer: 5738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from cccbzccccbcbcccbbc.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53610645.\nAnswer: 3, 5, 11, 59, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 279, 558, 835, 1110?\n\"Answer: -t**2 + 282*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 122619\/533 > 230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138288 is divided by 191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 - 16. Let k = -7 - -6. What is the closest to k in -1, u, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 3*r + 5908 = -z, 1477 = r - 2*z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 66\/3189355 and -56\/2698685.\nAnswer: 35082905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 685538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 171 is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1e - -8aaaa?\nAnswer: 8aac9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gfgfgfggggg. Give prob of picking 3 g and 1 f.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(69\/(539028\/420)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 6*x**2. Suppose -5*g + 6*g - 15 = -5*b, -5*g + 159 = 4*b. Let f(p) = -41*p**2 + 119*p**2 - g*p**2 - 40*p**2. Determine f(t(q)).\nAnswer: 108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 - (30 - 13 - 6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -642, -1295, -1934, -2553, -3146?\n\"Answer: r**3 + r**2 - 663*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**2\/2 + 349207*d\/2 - 174603 = 0. Calculate d.\nAnswer: 1, 349206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 214980313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 + 12*r**2 - 213*r - 509. Calculate c(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 52\/15?  (a) -0.1  (b) -6\/13  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 445033752 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: 1236536 (base 8) to base 9\nAnswer: 573034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -4  (b) 0.2  (c) -1\/6  (d) -1\/675  (e) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0  (b) 1115  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -398, -402, -406, -410, -414, -418?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 2*j - 15, 3*j = -t + 3 + 2. Suppose -l = -2*l - k + 8, 4*k - 36 = -t*l. Solve 4 = l*s - 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = c - 9. Suppose -j = -c*j + 106. What is the remainder when j is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.8 - 1.9. What is the third biggest value in -0.3, 4, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dqdrqqdwfqrdwdwddf. Give prob of picking 2 w and 1 d.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -69  (c) 0  (d) -2\/11  (e) -7  (f) 2\/7  (g) -42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/(d*d**5\/d*d*d*d)))\/(d**(-2\/21)\/d) assuming d is positive.\nAnswer: d**(191\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -0.2. Suppose 5*d = -2*v + 11, 3*v + 0*v - 13 = -4*d. Let t = v - 4. Are l and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 92\/5 - 179\/10. Let u = -2 - -2. Determine w, given that u*w + 0 + 1\/2*w**2 + o*w**4 - w**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 - 3 + 38 - 12*a - 72.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -812 - -1445. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than -5\/309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.1*2.93455.\nAnswer: 3.228005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 37526 by 4.\nAnswer: 18763\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*p - 2*c - 20, -244*c + 240*c - 26 = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 272791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 3*y + 4 - 7 + 0*y. Let b be (-24)\/(-7) - (-164)\/287. Suppose -b*v - 2*v = -42. Calculate i(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 22 = -9*k. Let u(x) = 3 - 6*x**2 - x**3 - 3 + 5*x. Calculate the lowest common multiple of u(-7) and k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -92 (base 13) to base 5.\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 9*g + 93. Give z(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a**2*b**2 - 2*a**2*v + 109*a**2 + 4*a*b**2 - a*b*v - 8509*a*b + a*v - 7*a + 634137*b**2*v - 7*b**2 - v wrt b?\nAnswer: 2*a**2 + 8*a + 1268274*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in -0.4, -2, -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.17, -4, 0, -2, 83 in decreasing order.\nAnswer: 83, 2, 0.17, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-34)\/18 + 18\/9. Let p = h + 5\/9. Let q be (-1 + 7)*(-1)\/10. Which is the nearest to 2?  (a) q  (b) p  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*s - 29*s + 896. Calculate the highest common divisor of 1712 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to 4\/1855547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 63 = -d, -4*d - 6*i + 288 = -2*i. Let s = d - 73. Let p(t) = -23*t**2 + 1 - 18*t**2 - t**3 + 36*t**s - t. Determine p(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2762452 years in centuries?\nAnswer: 0.002762452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -94, -340, -694, -1108, -1534?\nAnswer: -1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7811776 and 2688?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 2304, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46\/(-4) + (-250)\/100.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*h + 11, 6*l = 5*h + 3*l + 4. Let c = 210 - 3781\/18. Is h bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 812229\nAnswer: -4\/812229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -65\/86 or -2?\nAnswer: -65\/86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of -h**5\/10 - 53*h**3\/2 - 488*h**2 + 441*h. Differentiate w(o) wrt o.\nAnswer: -6*o**2 - 159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -413081480 rounded to the nearest 1000000?\nAnswer: -413000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*p + 3*q + 58, 4*p + 1853*q - 1855*q = -22 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*((-32)\/832*4 - (789\/(-26))\/(-1)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.24, -6, 1\/50, 2 in increasing order.\nAnswer: -6, 1\/50, 0.24, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h + 7. Suppose -6*g + 23 = u - 2*g, 2*g + 13 = 3*u. Let n be p(u). Suppose -3*q - 21 + 96 = n. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-174)\/(-16820)*-29*(-20)\/(-192)\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -265*k + 1308 + 4027 = 830 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*m - 6*m - 26 - 25 = 0. Solve 5*b - m*d + 28 = 37, -4*b - 3 = d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 PM and 9:25 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 15*x**2 + 7*x + 11. Let w(g) = -8*g**2 - 4*g - 6. What is 3*v(s) + 5*w(s)?\nAnswer: 5*s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15*p**4 + 5*p**2 + 7105*p.\nAnswer: -180*p**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-342)\/24)\/((-2)\/((-168)\/(-9)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -15\/8221, 1\/12, 0.02 in descending order.\nAnswer: 1\/12, 0.02, -15\/8221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/1)\/((-48)\/(-80)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.217 + 0.147. Let c be 14\/(-6) - (-2)\/1. What is the third biggest value in 0.4, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -549*n + 5492. Let o be t(10). Which is the nearest to 1\/5?  (a) 23\/5  (b) o  (c) -0.2  (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-63)*(-1 + 7))\/(2343\/77 + -33)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-106 - (16 + -25)) + 107?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(256)\/sqrt(8) + (-5*sqrt(224) - sqrt(14))\/sqrt(7).\nAnswer: -29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 116229078.\nAnswer: 2, 3, 7, 131779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 2*x + 621, 3*t - 5*t + 234 = -4*x. Calculate the greatest common factor of 82 and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 67 + -65. Suppose 5*z - x*j - 243 = 0, 2*z = 3*j + 65 + 30. Let o = 35 - 22. Calculate the remainder when z is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4211*p**3 - 624*p**2 - 5*p + 5. Let l(s) = 12629*s**3 - 1871*s**2 - 14*s + 14. Let y(f) = 5*l(f) - 14*v(f). Find the third derivative of y(x) wrt x.\nAnswer: 25146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*b + 654 = -46. Let s(l) = -l**2 + 30*l - 54. Let k be s(b). Solve 2*j = 3*u - 8 - 5, -18 = 4*j + k*u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-2)\/((-5220)\/4865)*(-6)\/(-4 - 80) and 133\/18?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 125807.\nAnswer: 11, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*n**3 - 7*n**3 + 6*n**3)*(3*n + 0*n + 0*n) as y*n + j + r*n**3 + c*n**4 + f*n**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 5*b**2 + 0*b**2 + 28*b - 28*b. Let l(c) = c**2. Give l(q(d)).\nAnswer: 25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 24 - (11 + -1 + -22 + 25)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 326*u + 807. List the prime factors of a(18).\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2277 (base 9) in base 14?\nAnswer: -88a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 m, and 2 e when four letters picked without replacement from mpsmemmempmm?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 AM and 3:34 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or -7739?\nAnswer: -7739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/14?  (a) -49  (b) 1486  (c) 0.1  (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-18 - (-2 + -8 + 5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 101*d - 1. Let w(q) be the second derivative of -q**3\/6 + 43*q + 2. Determine l(w(z)).\nAnswer: -101*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1e3 - -809?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-62)\/279 + (-43)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 1. Let d = z - 9. Put 0.5, d, -5 in descending order.\nAnswer: 0.5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 119 + -589\/5. Let x = 3\/164 - 1005\/1148. Which is the second smallest value?  (a) v  (b) -2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/(-26) - ((-1259)\/13)\/1?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18349208650 minus 6?\nAnswer: -18349208656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-14)*p)**40*p**7*p**(-2\/3))**(2\/27) assuming p is positive.\nAnswer: p**(-3082\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -206*b - 28193. Determine a(-137).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5901637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 776968 divided by -4.\nAnswer: -194242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 558779001?\nAnswer: 3, 11, 17, 431, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 + 13*y**2 - 16*y - 26. Let a be d(-14). Solve a*g + g + 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 - 2*l - 2. Let w(s) = -5*s + 6*s**3 - 18*s**2 - 3*s**3 + 41*s**2 - 4 - 24*s**2. What is 5*a(u) - 2*w(u)?\nAnswer: -u**3 + 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2075311871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 510181\/24 + -21263. What is the common denominator of c and -103\/1578?\nAnswer: 6312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i + 8. Suppose 0 = -3*o + 2*o - 6. What is the units digit of t(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 4*f + 171, -285 = -5*o - 0*f + 4*f. What is the remainder when o is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107 + 153 = 52*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -111 (base 10) to base 9\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -11 - 4. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 609*l - 622*l. Suppose -3*d - 2*n - 135801751 - 21398251 = l, -4*n = 2*d + 104800004. Round d to the nearest one million.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -40, -1, -12, 4, 1 in decreasing order.\nAnswer: 5, 4, 1, -1, -12, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 246*w**3 - w**2 - 83*w + 175. What is v(2)?\nAnswer: 1973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/39 - -9\/13. Let t = 1 - 127. Let n = 129 + t. What is the closest to 1 in p, -4, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 361297049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -25*r**3 + 31*r**2 + 62*r. What is the thousands digit of l(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -352548 by -29379.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 54118.910001 - 54115.81. Let y = -53.9 + 57. Let r = x - y. What is r rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 77324908*k**4 + 32142968*k wrt k.\nAnswer: 927898896*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 - 6. Let q(o) = 7*o - 4. Let k be q(-4). What is the units digit of x\/(-7) + k\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*p**4 + 0 - 590*p**2 - 2*p - 6 + 588*p**2 to z*p**4 + k*p + v*p**3 + o*p**2 + g and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 57*a + 717. Determine c(-15).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/2 + (-18)\/(-12). Let y be p*(1 + (0 - -11)). What is the greatest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3384 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((243\/(-186))\/(-9))\/(30\/20)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 8, z: 3}. What is prob of sequence zzz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 89065928869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 5*m - 97, -4*f + 9*f - 10 = 0. What is the units digit of m\/(-294) - 21170\/(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -9. Let i = -36 - -37. What is the fourth biggest value in -4, g, i, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -23.4, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -486 + 494. Suppose -4*q + u*q - 16 = c, 0 = -3*c. Solve -5*v + 30 = 3*y - 0*v, -q*y = -v - 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -2.4, 0.4.\nAnswer: -7, -2.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2450798 + -0.1809.\nAnswer: 2450797.8191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 59906831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -2. Suppose -o - 5 = -2*r + r, -3 = 3*o. Solve 0 = -c - w - j, 5*c + 2*w - r = 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of q**6\/135 + 101*q**5\/90 + 833*q**4\/18 - 289*q**3\/3 + 795*q + 1. Determine h, given that x(h) = 0.\nAnswer: -51, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*d + 1\/9*d**5 - 32\/9*d**4 + 0 - 58\/9*d**2 + 89\/9*d**3 = 0. Calculate d.\nAnswer: 0, 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 25*s - 80 = 0, 1107*k - 1102*k + 11 = -2*s + 4*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -j - 2. Which is the third smallest value?  (a) j  (b) 0.4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1111, 4779, 11509, 21805, 36171?\nAnswer: 55111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.08793 from 25.\nAnswer: 25.08793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 138450823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.19 and 0.06.\nAnswer: 0.0714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 102 and 57?\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1303628 divided by -2.\nAnswer: -651814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16*w**2 + 257492*w + 8586722.\nAnswer: 32*w + 257492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -13147 (base 15) in base 12?\nAnswer: -2b3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, z: 9}. What is prob of picking 1 z and 2 p?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2370 and 33?\nAnswer: 26070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -106414, -212798, -319176, -425542, -531890, -638214?\nAnswer: -744508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(20))\/sqrt(10) + 0 - (sqrt(90)*1)\/sqrt(5)) + 2)**2*-6.\nAnswer: -36 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 21 - 33. Suppose u*s = 8*s - 15. Suppose 0 = 4*y - s - 13, -y + 2 = z. Which is smaller: 5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 3*y - 12. Let b be o(9). Suppose -4*c = -5*q + 8, -2 + b = 3*c + q. Suppose -s - 259 = -2*u + 4*s, -c*u + 5*s = -386. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12931?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, -97, 5\/4, 1\/3, -43644.\nAnswer: -43644, -97, -2, 1\/3, 5\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -6*x**3 - 3*x**2 + 7*x + 1. Let m(t) = -17*t**3 - 8*t**2 + 21*t + 3. Let o(u) = 3*m(u) - 8*y(u). What is the second derivative of o(a) wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -39070 rounded to the nearest 1000?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1492830691.\nAnswer: 11, 135711881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {t: 1, i: 1, q: 6, c: 8}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 1:39 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that i**5\/2 - 15*i**4\/2 + 59*i**3\/2 - 97*i**2\/2 + 36*i - 10 = 0.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*s - 1585 - 34*s + 1585.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 8 - 17. Let y be -3*(-1 - 43\/3). Suppose p = -2*u + y, 0*p + 69 = o*u - 2*p. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 219\/18*2 + 2\/(-6). Suppose -4*x + 0*x + d = -244, 0 = -x + 4*d + 76. What is the greatest common divisor of q and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 565 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 72594343\/76 - 955226. Let b = -147\/4 - o. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 5. Suppose -57 = -3*n - g*h - h, 2*h = 8. Suppose -n - 17 = -2*q. Solve -4*b = q, 5*m + 0*b = -4*b - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1949626 divided by -59?\nAnswer: -1949626\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h. Suppose -36*c + 38*c - 24 = 0. Suppose -4*x + c*x = 16. Let r be (-2)\/((-4)\/18) + -2. Let n(i) = 2*i. Calculate r*m(j) + x*n(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1249 or 1248?\nAnswer: 1248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 86.71931 tonnes in micrograms?\nAnswer: 86719310000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 261 + 119. What are the prime factors of o?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, r: 6, z: 1, i: 2}. Give prob of sequence fif.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1626 - 1596. Calculate the greatest common factor of 40 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = 5*f + 4*p, 4*f - 739*p = -741*p - 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**4\/7 + 3908*p**3\/7 - 1537330*p**2\/7 + 654952*p - 3051240\/7 = 0. Calculate p.\nAnswer: 1, 2, 541, 1410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55484 + 411375. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 6 = 3*m, 11*r = -3*m + 12*r - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -148659 - -237236. Suppose -l + 59034 = -3*l + 3*t, w = -3*l - 2*t. Let z = -56823 - l. Round z to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5701383 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 186 divided by 31\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -827*k - 22409. What is m(-27)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 (base 9) in base 5?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/3 + j**2\/3 - j\/3 - 1\/3.\nAnswer: (j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 5, a: 5, s: 4}. What is prob of sequence aas?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 7*s + s**2 + 0*s**2 + s**2 + 4 - s**2. Is w(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -2*w - d, -4*w - 3*d + 20 = -22. Suppose 0 = -v - 2*v + w. Suppose 3*k - 9 + 26 = z, z + 23 = -5*k. Solve -v*l = -z + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.69?  (a) -1\/5  (b) -0.4  (c) -1  (d) -1816  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**3\/7 - 20*b**2\/7 = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 + 23*b - 7. Suppose 7 = 5*v - 63. Suppose -3*x + 7 = -v. Let z(o) = 12*o - 4. Let g(r) = x*z(r) - 4*k(r). What is a in g(a) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 61545.7ug?\nAnswer: 0.0000615457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/25 of a gram in milligrams?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/5 or -0.046?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14079 and 2655003?\nAnswer: 50445057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of 0 - 3*m - 1\/12*m**4 + 0*m**3 + 1\/2*m**2. Factor i(l).\nAnswer: -(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -547243*u**3*x**2 - 294999*x**2 wrt u.\nAnswer: -1641729*u**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 593969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f**3\/4 + 55*f**2\/2 + 805*f\/4 + 490 = 0. Calculate f.\nAnswer: -8, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160*a - 157*a - 128686 = 4*d, 0 = a + 4*d - 42858. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8065454, 16130895, 24196336, 32261777?\nAnswer: 40327218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.9578386 nanograms?\nAnswer: 0.0000000000000009578386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f**2 + 16*f - 6*f**3 - f**4 - 8*f**2 + 7*f**2 + 4*f**2 + 8*f**3 to the form i*f**4 + p + q*f**2 + m*f**3 + o*f and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6)\/13 - 487\/(-13) is divided by 1*(2 + 0 - -20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b = 424 - 423. Let w be -14 + (-4 - -2 - b). Is -22 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -221, 0, 4, 5, 1 in ascending order.\nAnswer: -221, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/186 in -0.5, 7, 8\/79, 0.3, 2\/7?\nAnswer: 8\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 59*y. Let l(b) be the third derivative of -29*b**4\/24 - 1745*b**2. What is 13*l(a) + 6*u(a)?\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2220 by 20.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2017\/13 - 155. Let f = -99.8 - -99.7. What is the closest to f in d, -0.4, 2, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8042 = -746*p + 6803 - 1417 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 10*j = 6*j - 5, -a - 1 = -5*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 96, -405, -1938, -5019, -10164, -17889, -28710, -43143?\n\"Answer: -86*b**3 + 101*b + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24323 + -1022?\nAnswer: 23301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 0.119  (b) 1\/6  (c) -7  (d) -9.2  (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -53710837.7 rounded to the nearest one million?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*b**3 + 22*b + 11*b**3 - 9*b**3 + 1 + 8*b + b**2 - 3*b**3 as d*b**2 + k*b + g + y*b**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h**3 + 9*h**2 - 10*h - 1. Let j be m(7). Is j\/(-8)*(6 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 PM and 3:11 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o + 1. Let n be z(3). Let u = n - -1. Suppose -u*j = -6*j - 1, -3*j = -g + 21. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 AM and 4:45 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/5*m**4 + 0*m + 0 + 27\/5*m**2 + 27\/5*m**3 + 1\/5*m**5.\nAnswer: m**2*(m + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 14 + 61 = a, -2*t = -2*a - 74. What is the least common multiple of t and 9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 181*w - 14. Let k(c) = 175*c - 16. Calculate -5*k(g) + 6*o(g).\nAnswer: 211*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*s + 5*v + 21 = -107*s, -10*v - 36 = 4*s - 2*v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.6 less than -3676?\nAnswer: -3671.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 3*p = 46 + 1, m - 6 = 4*p. Let t be (-9 + -1)*(-5)\/m. Suppose -2*k = -t*k + 12. Calculate the smallest common multiple of k and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/2002 and 95\/278642?\nAnswer: 3065062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -56*d**2 + 17*d + 86. Let y be p(-4). Let b = y + 1065. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ubububbuubbuubbbubub?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 629, 619, 609?\n\"Answer: -10*l + 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*h - 3*h**2 - 24*h**3 - h**2 + 260 - 4*h**3 - 272 to i*h + p*h**2 + o + x*h**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -4172239.093 to the nearest 100.\nAnswer: -4172200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -128*y - 4 + 126*y + 4 - 14*y**2.\nAnswer: -14*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 + 31*k - 53. Let t be p(29). Suppose -5*r - 1370 = -5*v, 0*v - 2*v + t*r = -539. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -132*d**6 + d**5 + 559*d**3 + 708903*d**2.\nAnswer: -15840*d**3 + 60*d**2 + 3354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -5 + sqrt(2057) + 1.\nAnswer: -6 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -2*m**2 + 8*m + 3. Let k be t(7). Round k to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6166.882 millilitres in litres?\nAnswer: 6.166882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3\/9 + 4*y**2\/3 + 8*y\/9 - 16\/3.\nAnswer: -2*(y - 6)*(y - 2)*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -22*y**2 + 16. Let q(a) = -7*a**2 + 5. Suppose -2*i - 4 + 18 = -5*d, 68 = 5*i + 4*d. Suppose -9*z - 48 = -i*z. Calculate z*q(s) - 5*k(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -1, -2.8, 0.04 in increasing order.\nAnswer: -4, -2.8, -1, 0.04, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -4*v**2 - 250*v + 27585. Give c(-120).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 8*j**3 + 4*j**2 - 6*j - 7. Let x(d) = 23*d**3 + 11*d**2 - 17*d - 20. Suppose g + 5*g = 24. Let h be (3\/3)\/(g\/(-68)). What is h*i(a) + 6*x(a)?\nAnswer: 2*a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) 8  (b) 5  (c) 0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-2 - -3 - (2 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 6:30 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the third derivative of -28*w**4 - 974*w**2 + w. Let b(n) = -3*n. Calculate y(b(h)).\nAnswer: 2016*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 2*t - 4. Let m be q(4). Let h(p) = 2*p + 5*p - 1 + 3*p - m*p. Let d be h(1). Solve 16 = -4*c - 2*u, -5*u - 2 = d*c + 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-113)\/(-4) - (66 + (-2403)\/36).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -53983 divided by 1459?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 38376 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*a - d - d, -2*d = 4*a - 10. Suppose -s - a*k + 598 = -2*k, 6 = -2*k. Let u = -3019\/5 + s. Which is bigger: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 12*q - 5*q - 1 - 4*q. Calculate t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 3*j + 4*p + 272 = 0, 80 = j + 5*p. Suppose 2*z + j = -4*s + 7*s, -s + 24 = -z. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/9*9\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-19)\/(-7) - 7)*(-70)\/(-15)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -423*c + 56. What are the prime factors of f(-11)?\nAnswer: 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 14156, 44766, 91830, 155348, 235320, 331746?\n\"Answer: 8227*z**2 + 5929*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - 3)\/(8\/24). List the prime factors of (-9008)\/(-48) + (-1)\/t.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 561.5 + -305.2. Round n to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 948147?\nAnswer: 3, 317, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2 - -0.2. Let s be ((-5)\/(-3))\/(2\/(-6)). Let o = -2895 - -2899. What is the closest to 1 in w, o, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5448 is divided by 218.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-123)\/6 - (-12643)\/(-538)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -3*s + 5. Let g be d(6). Let i = g - -141\/11. Let p = 11 - 31\/3. What is the nearest to -1 in -0.3, p, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 346 and 56.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 5*r - 175. Let d(x) = -x**3 + 58*x**2 - 59*x + 120. Let n be d(57). Suppose 0 = -3*v - n, -4*q + v + 2*v = -r. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-3 + (sqrt(1008) - 1*(1 + sqrt(1008))**2) - (1 + (sqrt(1008) - (sqrt(1008)*2)**2) - -3*(sqrt(1008) + 1)))*-6 + -5.\nAnswer: -18100 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2c5 - 6a?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -32 - -31. Is (2\/6*u)\/(27\/(-154953)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -34, 1\/6, -3, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5*6\/(-7)*14\/(-3). Suppose -7*b + a = 3*b. What is the least common multiple of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -122, -241, -352, -449, -526, -577, -596?\n\"Answer: p**3 - 2*p**2 - 120*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33\/9 - (-11)\/((-132)\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -20f - -27?\nAnswer: -1e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-402636*l + 402634*l + 5263 - 951)*(3 - 3 - 2*l).\nAnswer: 4*l**2 - 8624*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16780, 33543, 50308, 67075, 83844, 100615, 117388?\nAnswer: 134163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (464\/(-6438))\/((-10)\/108*4). Is -0.1 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -6  (b) 1.2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 156820 - 18733 = 3*q, -4*q + 184130 = 3*h. List the prime factors of q.\nAnswer: 191, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -981053\/812 or -1209?\nAnswer: -981053\/812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2525 - 3846 = 141*j + 4319 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*z**2 + 10335 + 10315 - 20650.\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 divided by -182?\nAnswer: -43\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that x**3\/2 - 47127883*x**2\/2 + 94255763*x\/2 - 47127881\/2 = 0.\nAnswer: 1, 47127881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1321+0.22\nAnswer: -1320.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a**5*a\/a**(-2\/25)*(a\/(a*a\/a**(-2)*a))**16*a**(2\/9)*a**(2\/5)*a**(2\/3)*a**(-1) assuming a is positive.\nAnswer: a**(-12742\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -951.990168 - -952. What is r rounded to 4 decimal places?\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooe when three letters picked without replacement from opoooororrffprpeooe.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -4*r - 2. Let v be q(-1). Suppose -z + 2 = -v, 0 = 2*h - z - 4. Suppose 4*j - k + 6*k + 20 = 0, -20 = 2*j + 5*k. Put j, -1, h in descending order.\nAnswer: h, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, g: 6}. What is prob of picking 1 j and 2 g?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.475561 to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b = -9*b - 5. Suppose -b*t - 2276 = -16. Let w = -279 - t. Calculate the remainder when w is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28646740?\nAnswer: 2, 5, 149, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -9*t - 104. Let v = 28 + t. Solve -2*k - 5 - 4 = 3*g, -4*g + v = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5441844 centuries to decades.\nAnswer: 5.441844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 7:59 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -14462641 (base 8) to base 12\nAnswer: -1133429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 5*f - 45. Let g be q(-10). Suppose t = -4, 0 = 5*k - 4*t + g*t - 671. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 - 19*j + 10. What is w(11)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45\/(-120)*(-3)\/((-45)\/(-20)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8120 and 400?\nAnswer: 81200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - 4ba3?\nAnswer: -4b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p**3))**(2\/45)*(p*p**(-3\/5))**(-2\/163) assuming p is positive.\nAnswer: p**(-338\/2445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 54737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, h: 2, q: 7, k: 1, l: 6}. What is prob of picking 1 k and 1 l?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, n: 13}. Give prob of picking 2 n.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 915*r**3 - 597*r**2?\nAnswer: 5490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 + 5060720647.507.\nAnswer: 5060720648.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2628781.\nAnswer: 2628781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 4*a - 2. Let m be ((-27)\/(-3))\/(1\/a). Let r = -10 - m. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 133*t**5 - 22*t**3 + t**2 - 2961*t wrt t?\nAnswer: 7980*t**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -8*85\/(-100) + -6. Determine l so that 2\/5*l**3 + 2\/5*l + 0 - p*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.4, -0.1, 2\/665, 0.07, 3, -4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 153981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 8 = 2*w, w + 4*y + 1 = 22. Let p be (w + 5)\/(16\/72). Calculate the highest common factor of p and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - p - 88 = 0. What is the lowest common multiple of p and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -4, 1\/9, 2\/439?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p + 3*p + 11*p + 7*p - 25*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f - 3 + 1 - 1 - 5*f. Calculate g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13e2e (base 16) in base 15?\nAnswer: 19204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1035 and 605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2300701 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of o**5\/180 + 41*o**4\/36 + 1681*o**3\/18 - 60*o**2 + 2. Solve m(l) = 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 - 2)\/1*390. What is the least common multiple of 6 and (2\/5)\/(13\/v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39\/(-4) - (-12 - 689\/(-52))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in fifteen quarters of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of 13*t**4\/24 + t**2. Let o be (-1 + 0)\/(11\/55) - -1436. Let i(s) = 1431 + s - o. Determine q(i(z)).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 329807?\nAnswer: 271, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 + 32 = -33*g. Let s(q) = -q**3 + 4*q**2 + 2*q. Let l(r) = 2*r**3 - 7*r**2 - 4*r. Calculate g*l(v) - 5*s(v).\nAnswer: v**3 - 6*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 114493818 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = 146 - 170. Let u(s) be the first derivative of -1\/3*s**3 - p - 7\/4*s**4 + 0*s**2 + 0*s. Determine u(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3875.0860087 - -3875.01. Let r = 0.576 + -0.5. Let u = z + r. What is u rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39847297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65857908.\nAnswer: 2, 3, 5488159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 46 = -2*t + 90, -12*l + t - 152 = 0 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -24122273*b*o**4 + 195474*b*o**2 + 10*b*o - o wrt o.\nAnswer: -578934552*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 431 - 766 + 406 - 59*s + 16*s wrt s.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 148\/9*q**2 + 74\/9*q**3 + 0 + 10\/9*q**4 + 16\/3*q = 0. What is q?\nAnswer: -4, -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - l - 11 = 1, -3*s + 25 = -5*l. Let x(n) = 10*n**2 - 6*n - 7. Is x(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27352811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 5*q = 5, 0 = 3*q - 41 + 29 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3805\/476 - (-5 + 13). Let r = 485\/1428 + d. Suppose 0 = -5*o + 9 + 11, 0 = w + 4*o - 26. What is the second biggest value in r, w, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -55.54793 - -0.98893. What is f rounded to the nearest integer?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.0155 - -1.9845. Which is the nearest to -2?  (a) w  (b) -4  (c) -31  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u - 7. Suppose 3*p = -5*y + 21, -7 = -3*y + p - 0*p. Suppose 5*s = b + 20, 0*b - y*b - 24 = -3*s. Determine q(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(190)\/sqrt(160).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000995 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23.52 + 0.52. Let t = q - -28. Which is the second smallest value?  (a) 0.4  (b) 2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h**3 + 2*h**2 + h + 5. What is x(4)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59611322.\nAnswer: 2, 19, 47, 33377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((385\/154)\/((-4)\/4))\/(2\/(-16))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q - 5. Let k be b(-4). Let w be (-3)\/(2\/(-32)*k). What is the highest common factor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00047279 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32964 = -6961*r - 92334 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -249*t - 3*t**2 + 14*t**2 - 70*t + 154*t + 165*t.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 27248*j + 27252. Let t be f(-1). Let 0 - 17\/3*b**3 + 5*b**2 - 5*b**t + 1\/3*b**5 + 16\/3*b = 0. Calculate b.\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of -b**5\/20 + b**2. Let d(m) = 83144*m + 3*m**2 - 83144*m. What is d(h(c))?\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1))**7\/(i**(2\/13))**(1\/64))**50 assuming i is positive.\nAnswer: i**(-72825\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -4*y - z + 20, -4*y + 5*z + 60 = 0. Is 10 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4837176241.\nAnswer: 37, 79, 857, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gii when three letters picked without replacement from veivvvegimvmvi?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16361*3 - 26\/((-1326)\/561).\nAnswer: 2, 24547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 995349 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 173808, 173820, 173816, 173790, 173736, 173648?\nAnswer: 173520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 5792696, 5792695, 5792694, 5792693?\n\"Answer: -a + 5792697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14861327.\nAnswer: 13, 277, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 2959.9146.\nAnswer: -1183.96584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 5. Let x(o) = -2*o + 1. Let z be x(d). Let y = 3 + z. Solve -3*a + 4*w = -w - 10, -y*a = -4*w - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 890 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22455255 (base 7) to base 2.\nAnswer: -111011111010111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 + 42*x**2 - 3*x - 118. What is k(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 + 3*l + 3. Does 9 divide u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p**4 - 1917184*p**3 - 229726572792*p**2 - 459447394048*p - 229722738436 = 0 for p.\nAnswer: -239647, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1184 - 1181. Let g(q) be the third derivative of 0 + 1\/120*q**4 + 0*q + 8*q**2 - 1\/600*q**6 + 0*q**5 + 0*q**p. Factor g(j).\nAnswer: -j*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + -2 - (3 - 9) - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2501*d**3*o**2*w**2 + 1426*d**3*o - d**2*o**2*w**2 - 3*d*w**2 + o*w + 6*o wrt o?\nAnswer: -5002*d**3*w**2 - 2*d**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -5*z**5 + 12230*z**4 - 7392515*z**3 - 7404750*z**2 = 0.\nAnswer: -1, 0, 1097, 1350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, e: 1, g: 12, m: 1, l: 2}. Give prob of picking 2 l, 1 e, and 1 g.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z - 5. Let t be d(9). What is the third derivative of -2*f**6 - t*f**2 - f**2 + 4*f**2 wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + (-3 + 4 - 30). Is h*1*3\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.35 + 0.32. Let p = -2041.37 - -2041.34000075. Let i = p - b. Round i to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of 19*q**7\/2520 + q**6\/180 + q**5\/60 - 7*q**4\/12 + 5*q. Let l(m) be the third derivative of y(m). Is l(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -20) + (1321 - 1355).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 433578*z**2 - 17*z + 42334344.\nAnswer: 867156*z - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ikklkklkbcckkkec. Give prob of sequence beil.\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -78, -6\/4241, 87, 1\/4?\nAnswer: -6\/4241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the first derivative of -m**2 + 11 + 2*m + 1\/3*m**3 + m**4. Let j(z) = -9*z**3 + 5*z - 2 - 1 - 2*z**2 - 2. Determine -5*a(v) - 2*j(v).\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 578661 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8044 - 13*i + 17568 - 9524.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1689?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*x**3 + 9*x**3 - 21*x**3 + 10*x**2)*(-x + 4*x - 2*x).\nAnswer: 2*x**4 + 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-6) - 21\/(-9) - -7. Suppose v = -5*x, -6*x = u - 3*x - 31. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2077*i**5 - 1406*i**2?\nAnswer: -124620*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -8. Let n(j) = -2*j**2 + 0*j**2 + w*j**2 - j**2. Let z(s) = -3*s**2. Give z(n(v)).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pxpp when four letters picked without replacement from {l: 4, p: 4, x: 7}.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 76094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -47, -214, -487, -860, -1327, -1882, -2519, -3232?\n\"Answer: c**3 - 59*c**2 + 3*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115 + 145 = 5*g, 0 = 5*k - 5*g + 30. Which is the closest to k?  (a) 0.3  (b) 3  (c) -2\/7  (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1.3, 58, -2.602, -5?\nAnswer: -2.602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 14*p - 65. Let b be d(5). List the prime factors of (1*-2)\/(b*(-14)\/1855).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13315186 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve z**5 + 2997*z**4 + 5987*z**3 - 8989*z**2 - 11976*z + 11980 = 0.\nAnswer: -2995, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v - 636 = -9*v. Suppose -v = -3*q - 0*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i + 15. Let s be q(-4). Sort -4, s, 7 in descending order.\nAnswer: 7, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 620234891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125636060?\nAnswer: 2, 5, 11, 173, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32) + -5 + (sqrt(24)\/sqrt(3))\/sqrt(4) + sqrt(2))**2*6.\nAnswer: -360*sqrt(2) + 582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -499 + 722. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(294) + 5*sqrt(294) + sqrt(294))*-2)\/((((sqrt(50) - sqrt(2))*-3 - sqrt(2)) + sqrt(2))*-6).\nAnswer: -49*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 213*x + 383*x + 327*x - 663*x + 175*x.\nAnswer: 435*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*x + 19*x - 60 = 0. Suppose x*l + 252 = 22*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 811 - -260. Is 21 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 340127.\nAnswer: 340127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12.282 - 12.312. Which is smaller: -82 or j?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from oobkookokkgubkoooook.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -37 + 40 - ((-8 - -5) + -2 + -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 907 is divided by 85?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 - -8. Sort 0.1, 0.04, w, 5 in decreasing order.\nAnswer: 5, 0.1, 0.04, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20022 (base 5) to base 11\nAnswer: a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 202901589 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: Let p = -2332 - -2331.9. Do 3.89 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 117 = 27. Let z = -787 - -805. Calculate the greatest common divisor of t and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -333993 divided by 11517\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -1, 1\/4, -3\/4, -11.7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1494 + 1494 - 292*z**3 + (-71*z - 28*z**2 + 71*z)*(-5*z + 3*z + 4*z).\nAnswer: -348*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5*(-8)\/60)\/((-1)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 20035465 (base 7) in base 2?\nAnswer: 110010100010110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 10*d**2 - d. Let k(t) = 178799*t. Calculate k(s(l)).\nAnswer: 1787990*l**2 - 178799*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + 9 + (4 + -11 - -2) + 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 2 + -9 + -28 + 23 + (-10 - -13).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*q + 7*q = -15*q. Is q greater than or equal to -77\/243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - 6. Let t be (-3)\/1*g\/(-24). Which is smaller: -6\/13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 4*k + 209, k = -3*k + 3*a - 211. Let z be 60\/(-52) - 8\/k. Put -3, 3, z in descending order.\nAnswer: 3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 475*a**3 + 0 - 717*a**3 to the form q*a + p + o*a**2 + x*a**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -60, -364, -1176, -2754, -5356, -9240, -14664?\nAnswer: -21886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1397 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 - 25*n**2 - 24*n + 7. Let h be l(-24). Solve -3 = 2*f - h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = -11*m + 32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u + 3*u**3 - 4*u)*(10 + 4 - 8 + (2 + 2 - 2)*(3 - 1 + 0)).\nAnswer: 30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 + -6. Suppose -c*u + 170 + 238 = 0. Is 3 a factor of 4\/(-14) + u\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**2 - 4*t**2 + t**2 + (-2 + 3 + 0)*(-t**2 + 3*t**2 + 0*t**2) + (-2*t + 5*t - t)*(-1 + 1 - 2*t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 89*y**2 + 7*y - 6. Let i be d(4). Let s be (-4)\/10 + i\/15. Suppose t - 4*t = -s. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - 11*u**2 + 10*u - 21. Let a be q(-12). Solve 5*p - 4*v = 2, -4*p + a*v - 2 = v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 45*h**2 + 34*h + 29. Give b(46).\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30995, 61970, 92933, 123878, 154799?\nAnswer: 185690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12895 - -40953. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3*(-6)\/(-9) - -5. Suppose v*d - 228 = -4*x + 107, -5*x - d = -416. Calculate the remainder when x is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 41 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*c**2 - 3*c**2 + 4*c**2)*(-2*c**2 - 5*c**2 + 3*c**2) to s*c**4 + a + b*c**3 + y*c + u*c**2 and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 - 31 - (-4 + (-1 - -10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q**2 - 9*q - 17. Let v(n) = -21*n + 124. Let x be v(7). Is 42 a factor of s(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1045 (base 16) to base 4.\nAnswer: -1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -40.1 - -36. Let y = 3.6 + z. Which is the nearest to -2\/7?  (a) y  (b) 1\/3  (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 871970945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together -97 and -5.75.\nAnswer: -102.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94\/7*u**4 + 1308\/7*u**3 - 1134 + 270*u + 2\/7*u**5 + 4644\/7*u**2 = 0. Calculate u.\nAnswer: -21, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from xgnnxxnx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2 - 2*q + 3*q**3 + 2*q**3 - 3*q + 2. Let m(p) = 3*p**3 - 3*p + 3. Calculate 8*m(v) - 5*s(v).\nAnswer: -v**3 + v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1716 and 440.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -16*n + 4. What is x(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -477, 5, 1\/5, 4, -2 in descending order.\nAnswer: 5, 4, 1\/5, -0.2, -2, -477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1010100001101011 (base 2) to base 13\nAnswer: 16817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*l = 544*p - 545*p + 60, 2*p - 9*l = -20 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 35722337113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 909635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*0.04\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -5880*m**2 - 2 + 5865*m**2 + 0 + 4*m as b + d*m + q*m**2 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/(-1) - (7 - 36). Solve -29 = -4*w - 9, 4*w = -y + k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - (-12 - -10)) + (7 + -9 - -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -42*(-6)\/(-36) - (-146 + 87).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -979 by 11.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 - 9*t**2 + 4. Let v be x(9). Suppose -5*b - v = 4*h - 1, -b - h = 1. Let m(z) = 9*z + 1. What are the prime factors of m(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115 + 25 = 10*n. Let u be (28\/35)\/((-4)\/(-10)) + n. What is the common denominator of -31\/18 and u\/36*(-1074)\/80?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 - 0\/(2 - 0). Suppose -j + 5*c = 2*j, -4*c = -2*j. Let o be 2 + j - (n - -3). Let y(h) = 2*h**2 - 2*h + 1. Calculate y(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 230658548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 (base 7) in base 2?\nAnswer: 10000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -23886.6366 to the nearest ten.\nAnswer: -23890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*f - 393 = 93*f + 225 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 48\/32 - 31\/(-2). Let i = j - -18. Suppose -i = -10*g + 3*g. What is the greatest common factor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 2\/20945?\nAnswer: 2\/20945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, -277, 1, 4\/7, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(78))\/sqrt(6) + sqrt(13) + (1*sqrt(13))**2 + -2.\nAnswer: -sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1539 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hizz when four letters picked without replacement from {z: 9, h: 4, i: 3}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 10*i**3 - 4*i**2 + 4*i. Let x(u) = 11*u**3 - 5*u**2 + 5*u. Calculate 5*t(p) - 4*x(p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 80*s**3 - 1121*s**3 + 645*s**2 - 326*s**2 - 322*s**2 + 2*s - 712*s**3 in the form x + t*s + i*s**2 + v*s**3 and give v.\nAnswer: -1753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 803.\nAnswer: -803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11557736 and 37408?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5.1 + -1.1. Let o = 7 + -12. Let j = i + o. What is the closest to j in -2\/3, -0.1, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200 (base 10) to base 9.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 AM and 5:03 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of l**2 - 17*l + 4. Let s(d) = d - 8. Let h(n) = 3*r(n) - 7*s(n). Determine h(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m*m**(-3))*m)\/(m*m**(6\/11)))**(-2\/157)*(m**4\/m*m)\/(m**4*m)*(m\/(m**(-1\/4)\/m*m))\/m*m\/m**5 assuming m is positive.\nAnswer: m**(-32941\/6908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36024, 144410, 325072, 578010, 903224, 1300714, 1770480?\nAnswer: 2312522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -88 - -82. Let g be p\/(-4)*(-116)\/(-87). Let j be (10 - -11) + (-2)\/g. Round j to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3339 and 86331?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1 + -5 + sqrt(117)*1*3*-3)**2 + 5.\nAnswer: -19021 - 648*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -157\/188283550 and -19\/35.\nAnswer: 188283550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95*i + 29 = -1301 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*(w**(9\/4)\/w)\/w*w)\/((w*w**(1\/4))\/w) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 84, 895, 3098, 7389, 14464, 25019, 39750?\nAnswer: 59353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -11 + (-1 - -8) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*i - 24*i - l - 3 = 0, -3*i = 2*l + 5. Is -3\/1259 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*w**2 + 704*w + 42350 = 0. What is w?\nAnswer: -275, -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 221332521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2266 or 2264?\nAnswer: 2264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-120)\/35*4\/(40\/35).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 353*f + 218*f + 4449 = -4687 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 1 + 6*i - 5*i + 11. Let t be v(-6). Suppose t = 3*r, -l + 8 = 5*r - 17. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (7\/(-13 + -1 + 21))\/((-2)\/(-4)). Let 14\/5*o - 2\/5*o**d - 4 = 0. What is o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-18)*2\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 183329 + -101410. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 PM and 8:26 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.6049606ml?\nAnswer: 0.0006049606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from -593.\nAnswer: -592.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 12343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 773620 to the nearest 10000.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 40*w + 6. Is 5 a factor of p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -2*y**3 - 4*y**2 + 5*y + 14. Let v be a(-2). Suppose v*z = -5*z. Solve -8*n = -z*n - 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 14 = -2*s, 5*c = 3*s + c - 29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -9 + -15?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 55 and 112838.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 171 and 213957.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.175  (b) 7\/65  (c) -54  (d) 0.4  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 - y + 1. Let r be p(-2). Let o be 7 - (2 + r + 0). Factor 2*c**3 + 2*c**2 - 4*c**3 + 2 - o*c + 4*c**2.\nAnswer: -2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8207 (base 9) in base 12?\nAnswer: -3581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -109 + 110.06. Let o = -0.16 + i. Let l = o - -3.1. What is the third smallest value in l, 2\/7, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 832 + -581. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, 45, 97, 189, 333, 541, 825, 1197?\nAnswer: 1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 278*y = -243*y - 179 - 342. Put y, 3, -28, -5 in ascending order.\nAnswer: -28, -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 (base 13) in base 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 7:38 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 27 = -12. Let n be 4\/(b + (1 - 4)). Suppose 0 = 4*d + d - n*z - 80, 3*z = -3*d + 27. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 678 + -679. What is the nearest to 1\/7 in -20, u, 2.9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/(-5)*(-10)\/3. Solve -9 = h*p - 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -4, -2*x - 5 + 1 = 4*u. Suppose 5*c - 2*q - 90 = 0, -39 = -x*c + 2*q - 9. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/108 and (243\/(-24) + 6)*(-11)\/117.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3692700.\nAnswer: 2, 3, 5, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1658382348?\nAnswer: 2, 3, 7, 3881, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22.8318 nanograms to tonnes.\nAnswer: 0.0000000000000228318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - 926a0?\nAnswer: -926a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = 3*z - 12, -2*z - 5*z - 12 = -4*d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -62 + -20 + (11 - 4) - (3 + -13 + 4)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 a factor of 116972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-54))\/((-12765)\/30636)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16348189 + -16348214.0000096. Let n = -74 - -49. Let w = n - d. Round w to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 64, 129, 198, 271, 348, 429, 514?\n\"Answer: 2*u**2 + 59*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61*l**2 - 204*l**2 + 50*l**2 + 105*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*l**2 - 86075*l - 20*l**2 + 85830*l.\nAnswer: l**2 - 245*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14287\/5 + -2847. Is x <= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -96e7 (base 15) to base 3.\nAnswer: -1121211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 10*x**2. Let p(s) = 3*s. Let f(m) = -4*m. Let y(n) = -4*f(n) - 5*p(n). Calculate y(t(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -24 + 2 + (-7 - 1 - -4) + 9\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 3\/2, -4, 0.08, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -336, -337, -326, -291, -220?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2201424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 4) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97 = 4*q + 276*m - 271*m, -63 = -4*q - 3*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.886782mm in nanometers?\nAnswer: 2886782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*k + 371*k + 2346 = -41*k + 16164 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, v: 1, b: 4, q: 1, m: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence it when two letters picked without replacement from tintnntinnnttttn?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*x + 8*x. List the prime factors of 413 + (-5 - x\/(-3)).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(26\/(-33680)) - -6. Let h = 1302 - t. Solve 16\/13*u + 8\/13 + 38\/13*u**3 - h*u**4 - 54\/13*u**2 = 0 for u.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 56 = 2*w + 22, 0 = 5*w - 124 + 104 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12282204293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of -1\/98*u**7 + 0 - 1\/28*u**4 - 1\/20*u**5 + 0*u - 155*u**2 - 9\/280*u**6 - 1\/784*u**8 + 0*u**3. Factor p(k).\nAnswer: -3*k*(k + 1)**3*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-45058)\/(-32927))\/((-2)\/76)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-12) - (-87 + 92 - (44 - 2\/1))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, -4, -10, -18, -28, -40?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6, l: 3, r: 2, i: 3, a: 2}. Give prob of picking 1 a and 2 r.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 + 13*w**2 + 12*w + 16. What is the smallest common multiple of p(-12) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.32  (b) 5  (c) 0.2  (d) 2\/4675  (e) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2341822, 2341733, 2341644, 2341555, 2341466, 2341377?\n\"Answer: -89*t + 2341911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*f**2 + 5 + 18*f**2 - 22 - 12 in the form g*f**2 + s + h*f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jlj when three letters picked without replacement from {j: 2, x: 4, l: 5, g: 2}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = -2*f + u - 13, 5*f - u + 25 = 0. Let z = f + 13. Let b = 25 - 24. Solve 2*n + b = -z, -17 = l + 4*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -6*(-3)\/6 - 10. Let q be 2\/h - 710\/(-35). Let t be 2 - 78\/(2 + -3). Calculate the greatest common divisor of q and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xhh when three letters picked without replacement from xxxxxhxxxxhxxxxhhh?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 29 - 15. Let v = -20 + a. Does v = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of -d**6\/120 + 19*d**5\/30 + 5*d**4\/4 + 17*d**3\/6 - 3*d**2 - d. Is n(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (h**2 + 0*h + 0*h)*(0*h + 0*h + h**2) + h**4 + h**4 - h**4 - 4*h**4 + 11*h**4 + 9*h**4 in the form n*h**3 + w*h**2 + a + p*h**4 + v*h and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/(-4) + (-11 - -2). Let r = i + 15. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -7 - 6*o**3 - 9*o + 5*o**3 - 8*o**2 - 1. Let l be q(-7). Suppose l*a + 132 = 10*a. Calculate the remainder when 129 is divided by a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 AM and 2:16 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4c8 - -5?\nAnswer: -4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence app when three letters picked without replacement from aacapaaaaaaaaaaap.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xpdxdpphyxhyhyxx. What is prob of picking 1 d and 1 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3249 - -13611. Find the third derivative of -3*r**2 - 179*r**3 - 13*r + 5*r**2 - 10362 + x wrt r.\nAnswer: -1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -2  (c) 0  (d) -1\/15  (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -58672526 divided by 153593\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 3. Suppose -q - 2*q + 4*c = -69, 2*q = 3*c + 46. Calculate the remainder when q is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*c**2 - 17*c + 17*c - 7*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 PM and 3:45 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-68)\/51*((-126)\/(-112))\/((-6)\/(-56))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3120762941 to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 125, 8, 43, 9 in descending order.\nAnswer: 125, 43, 9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4.574 in -6, 0.7, 797?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/18 and 19\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17, -33, -51, -71, -93, -117, -143?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 909028063 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-251 + 251 - 32*r**2)*(-r + 0*r + 3*r)*(4*r + 4 + 0 - 3).\nAnswer: -256*r**4 - 64*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-9)*1*60\/32.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 + (-1 - 96\/(-44)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29 + 31. Let r(b) = 3*b**2 + b**d - 7*b**2 - 12*b**2. Let o(j) = 2*j. Calculate r(o(u)).\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97*x - 117*x - 1139 = -231*x for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(0 + 4 + -3). Let u be (-10)\/8 - 2\/(-8). Which is the nearest to -2\/7?  (a) -4  (b) z  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-5)\/3 - 1)\/(10\/(-30)). What is the highest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1484 - 1488. Let v(y) = y**3 - 2*y. Let w(l) = -3*l**3 + 7*l. Give j*w(z) - 11*v(z).\nAnswer: z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2 - 2691*j - 723570. Give o(-303).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8 and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 903?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-47)\/(-188))\/(1\/((-4)\/2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbqqqbqbqqqqqqbqbqq. Give prob of sequence qq.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**2\/2 + 25682*t + 7100954 = 0.\nAnswer: -51086, -278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36606, -73206, -109806, -146406?\nAnswer: -183006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-120)*-10*10\/90.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 + 12*z**2 - z + 16. What is the remainder when 277 is divided by x(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2 - 17739*h - 22924092.\nAnswer: 3*(h - 7004)*(h + 1091)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 0.7. Let r(y) = 2*y - 6. Suppose -2*f = 3*f - 20. Let l be r(f). Which is the third biggest value?  (a) l  (b) h  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 + 28*b**2 + 26*b + 6. Let j be r(-27). Let n = j - -18. Calculate the remainder when n is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 50 - -446. Calculate the highest common divisor of 592 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of o**7\/420 + o**6\/10 + 26*o**5\/15 + 16*o**4 + 256*o**3\/3 + 6*o**2 + 20*o. Find c, given that r(c) = 0.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, u: 6, z: 5, k: 5}. What is prob of picking 1 u and 1 k?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17678, 70932, 159688, 283946, 443706?\nAnswer: 638968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/5  (b) 73  (c) -1.795\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 172 divide 104907100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2924 = 23*t - 5337 - 2526. Calculate the remainder when 940 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*n - 48*n = 168 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -4369*s - 611097. Give h(-140).\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 113561*h**2 + 39780*h wrt h.\nAnswer: 227122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -196082 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-3 + sqrt(11) + sqrt(176) + sqrt(11)) + -5 + -3.\nAnswer: -6*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(36)\/(sqrt(96)\/(1*sqrt(8)) + sqrt(12)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 92 - 88. Solve 9*z - 11 = 4*r + q*z, 0 = 5*r + 2*z - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21638 - -18290.3. What is r rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/(((w*w*w*w**(-8)\/w*w*w)\/w)\/w))*w*(w\/(w\/(w**(-1\/2)*w)*w))\/w*w*w*w**(-5)*(((w\/(w\/((w**(-5)*w)\/w)*w*w))\/w)\/w)\/w*w)**(-30) assuming w is positive.\nAnswer: w**555","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11979 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7016034364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) -2  (c) -155  (d) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h\/(h*h\/(h*h\/(h**(-12)\/h*h)*h)))\/(h\/((h\/((h\/((h*h**(-7))\/h))\/h))\/h)*h) assuming h is positive.\nAnswer: h**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -45*(5 + 44\/(-8))*18. Suppose -5*b + 311 = c, -c = -4*b + p - 149. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*d**2 + 7*d**3 - 29*d**2.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 1. Let t(c) = 3*c - 7. What is 4*n(f) + t(f)?\nAnswer: 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - -1) + 27\/(-3). Let y = d + 20. Let a(p) = -2*p**3 - 76*p**2 + 333*p - 43. What is the remainder when a(-42) is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 87*i**5 + 2*i**3 + 68*i**2 + 2*i - 3. Let d(r) = -2*r**5 - r**3 - r**2 - r + 1. Let t(p) = 2*d(p) + s(p). What is the third derivative of t(o) wrt o?\nAnswer: 4980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -7) + (-18 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of 3*t**7\/14 - 7*t**3\/2 + 27*t. Find the second derivative of x(r) wrt r.\nAnswer: 180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1197 + 1197. What is the closest to c in 18, 4\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 2*t + 3*k, 4*k = 1100*t - 1074*t + 58 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*u = -55*u - 1464. Is 61 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/t**4)**(-14\/3) assuming t is positive.\nAnswer: t**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a986 (base 12) to base 5.\nAnswer: 2230124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + (-1 + -14 + 30 - -1 - 120).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 3*j**3 - 7*j**2 + j - 3. Let q(u) = -u**3 + u**2 + 1. What is m(s) + 4*q(s)?\nAnswer: -s**3 - 3*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 AM and 12:00 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6399\/2 + -3201. Suppose 8 = y - 3*y - 4*u, 4*y - 3*u = 6. Which is the fourth smallest value?  (a) -1  (b) h  (c) 4  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 26 = -1. Solve 3*z = -0*b + 3*b + t, 12 = 2*z - 4*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9a365 + -4?\nAnswer: 9a361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 705 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -2*a + 5. Let f(t) = -2*t + 4. Let u(r) = -2*c(r) + 3*f(r). Let d be u(-2). What is the third derivative of -d*n**2 + 7*n**2 - 3*n**6 + 4*n**6 wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/24 of a day in minutes?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2121 divided by 4?\nAnswer: 2121\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 2*t**3 + 2*t**2 + 15*t - 44. Give j(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 245*z - 242*z, -n - 28 = 4*z. Solve -2*b + 4*h + 1 = 3*b, n = 5*b - 5*h - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 12928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-2 + -6 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 + 7. Let h(o) = -2*o**2 - o + 17. Let u(m) = -m**2 - m. Let r(x) = v*h(x) - 4*u(x). Is r(4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000033498 to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - -3 - (5 + -6)) + 2. Let i = -1 + d. Solve -11 + i = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 18*i - 3230 = 174*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -17*x**2. Let h(g) be the second derivative of -5\/3*g**3 + 0*g**2 + 0 + 38*g. What is i(h(k))?\nAnswer: -1700*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -6*k**2 + 124*k - 50. Give b(22).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 753168.\nAnswer: 2, 3, 13, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 5. Let w be -1*((-18)\/s + 1). Calculate the greatest common factor of 136 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1\/5)*q**(-7))\/((q*q*(q**(-1\/10)*q)\/q*q)\/q*q**13))**(-30) assuming q is positive.\nAnswer: q**663","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 449 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - y + 3*y + 0)*(2 + 0 - 4)*(0 - 1 - 7).\nAnswer: 32*y + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from kbz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) 1\/2  (b) 1\/7  (c) -0.4  (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -26\/283 and 67\/6.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3330*x**3 + 1346*x + 2 wrt x?\nAnswer: -19980*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**13\/v)\/(v**5*v*v) assuming v is positive.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 477 is divided by 125?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 0.33, -2\/9?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6744737 is divided by 55?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4\/19565 and 68\/16125?\nAnswer: 1467375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2933*m**4*w - 1112*w wrt m?\nAnswer: -11732*m**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 264759 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - -3 - (-8 - -7 - 3 - 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 322\/24*29\/(-7714) and 93\/8.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + -1 + 308 + -291 + (4 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/10)\/((-32)\/80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2067777362 to the power of 1\/2, to the nearest integer?\nAnswer: 45473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2635.\nAnswer: 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -255, -10.1, 5, -2, -0.33, 1\/2?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 465 at least 1046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3950?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 84.98008 centimeters in meters?\nAnswer: 0.8498008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 3925.724g?\nAnswer: 0.003925724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -3*q**2 + 7*q + 6. Let l = -126 - -121. Let m(p) = -p**2 + 4*p + 3. Let x(t) = l*m(t) + 2*d(t). Calculate x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1190, -9445, -31842, -75461, -147382, -254685?\nAnswer: -404450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 29874 and 273.\nAnswer: 209118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1693134 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4924*n + 2293*n + 1404*n.\nAnswer: 8621*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.01?  (a) 2\/3  (b) 1\/2  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 621 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(931) + 1 + sqrt(931) + 2) + 0 + (sqrt(95)\/(sqrt(5) - 2*sqrt(180)) - (1*-2*sqrt(190))\/sqrt(10)).\nAnswer: 9 + 483*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**0*z)**(2\/49)*(z**(-2\/5))**(-2\/53) assuming z is positive.\nAnswer: z**(1256\/12985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/1156 and 53\/68?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f. Let w(t) be the second derivative of 5*t**4\/6 - 15*t. Give v(w(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6300 and 14180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*x + 4092 = 26*x. What are the prime factors of x\/(-16)*4 + 0 + 0?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/10  (b) -7  (c) -4\/45  (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -598 divided by -5447?\nAnswer: 46\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qatl when four letters picked without replacement from {a: 5, l: 2, q: 4, t: 2}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 - 27*l**2 - 26*l. Let a be j(-26). Let t = a + 95. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2642 is divided by 199?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/1085 and 97\/448?\nAnswer: 69440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.6 or 239438.8?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -6570 + -5.748?\nAnswer: -6575.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iip when three letters picked without replacement from {p: 3, k: 5, i: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -2341.76 to the nearest ten.\nAnswer: -2340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 2*j**2\/7 - 1132*j\/7 = 0.\nAnswer: 0, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 + z. Let a be c(9). Suppose 2*g + 18 = 3*g - 5*f, a = 5*g + f. 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 h = -2835 + 4271. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**2*t**7\/t)\/(t**5*(t*(t*t**(2\/7))\/t)\/t))\/(((t\/((t*t**(2\/9))\/t))\/t)**(-5\/9)*t**(-1\/4)*t**(2\/19)) assuming t is positive.\nAnswer: t**(117881\/43092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 51, 122, 201, 288, 383, 486, 597?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 310646.\nAnswer: 2, 7, 22189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141*w = -129*w - 600. What is the highest common factor of 450 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 542394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 23028 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3067, -6143, -9227, -12319, -15419, -18527?\n\"Answer: -4*d**2 - 3064*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 3*z - 5 - 328, -5*z + 3*j = -544. What is the derivative of -1 - 111*g**4 + z*g**4 + 2 wrt g?\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/2 + -4 - 670\/(-2). Suppose 0 = 26*m - 373 - d. Calculate the greatest common divisor of m and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 15 = -8*l. What is the tens digit of (32*-1 - (2 + l))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.06 - 0.26. Let h be (1 + (-6)\/(-4))*6\/(-5). Put a, 0, h in descending order.\nAnswer: 0, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -2 + -1 + 0 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 2*j - 122, 3*r + 78 = 3*j - 90. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.03 and -758302.\nAnswer: 22749.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 - (22 - -2 - -3). Is -24 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8643358 and 14446.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**3 + 8*c**2 + 3*c - 10. Let x be s(-8). What is the common denominator of (2 - (-43)\/12)*1 and (-1 + x\/(-36))*-71?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + -1. Which is the nearest to f?  (a) 0.3  (b) -0.2  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.11369ms in microseconds?\nAnswer: 12113.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 76182 = 76180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 6854, 6954, 7062, 7184, 7326?\n\"Answer: o**3 - 2*o**2 + 99*o + 6756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(288) + -1) - sqrt(288)) + 4 - (3*(sqrt(288) + (1*sqrt(288) - sqrt(288))) - ((-1*sqrt(288) - sqrt(288)) + -3)))**2.\nAnswer: 144*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - 4*g**2 - 4*g + 26. Let b be r(4). Let k(u) = -3*u - 8 + u + b + 4 - 1. Let w(x) = x. What is w(k(z))?\nAnswer: -2*z + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together -26927 and -0.014.\nAnswer: -26927.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 7 = 2*y, 4*m + 3*y - 8*y = -14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2.838  (b) 0.2  (c) -0.4  (d) 3  (e) 4  (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {p: 1, w: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 95047*c. Let t(m) = 4*m**2. Calculate t(s(i)).\nAnswer: 36135728836*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 83*i. Let k be q(1). Find the second derivative of -k - 27*w - 6*w + 83 + 20*w**4 wrt w.\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**2 + 2279*p + 482430 = 0. Calculate p.\nAnswer: -195, 2474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of w**5 - 6*w**4 + 481788*w**3 - 142189279*w**2.\nAnswer: 60*w**2 - 144*w + 2890728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 5 = d, 0*f = 5*d - 3*f - 25. Put 0, d, -2 in increasing order.\nAnswer: -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2597*s + 2586*s - 176 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 3*b = -3*m - 1614, -1618 = -3*b + 5*m. What is the remainder when b is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96680509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -95.2 - -95. Let d be 1298\/90 - (-4)\/(-18). Let v = 98\/5 - d. Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 + 2*a + 1. Let k(i) = i**2 + 3*i. Let d(l) = 3*k(l) - 2*z(l). Let s be d(-6). Sort 14, s, 0, -1 in ascending order.\nAnswer: -1, 0, s, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35*x**2 + 3293300*x + 940940.\nAnswer: 5*(x + 94094)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 + 10*c**2 - 11*c - 3. Give z(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - y = -32, y + 0 = -4*f - 22. Suppose 2*i = -0*i + 30. What is the remainder when (-43)\/(1 + f\/3) is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 - 4*n**2 - 3*n + 4. Let i be x(-3). Suppose 0 = 30*y - 32*y + i. Calculate the remainder when ((-8)\/6)\/(y\/(-138)) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-574)\/41*4\/14. Let z = 16 - 14. Let v be (-1 + z)*0 - -8. Which is the second biggest value?  (a) v  (b) -0.1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(1900) + sqrt(1900) + 3*(1 + sqrt(1900)) - ((-1*sqrt(133))\/sqrt(7) + (sqrt(19) - (-3*(sqrt(19) + -2) + sqrt(19))**2)).\nAnswer: 26*sqrt(19) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j**2 - 5*j + 61. Suppose 18 = 2*b + r, -b + r = 4*b - 59. List the prime factors of n(b).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1004*o + 2 - 1004*o + 258*o**2 - 3.\nAnswer: 258*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 40*h**2. Let m(r) = 50*r - 6. Give m(d(a)).\nAnswer: 2000*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 1 - 23 = 0. Suppose -f + 5*r = l*r - 1, 3 = -f + 5*r. Suppose 2718000 = f*u + 7*u. What is u rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -16*i + 13. Let d(n) = -n. Let j(l) = -l**2 - 9*l + 37. Let y be j(-12). Let m(x) = y*c(x) + 2*d(x). Differentiate m(v) with respect to v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.1, -8610, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of -b**5\/110 + 37*b**4\/22 - 1369*b**3\/11 + 21*b**2 + b - 101. Let g(t) be the second derivative of w(t). Factor g(u).\nAnswer: -6*(u - 37)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 4*v = -1 + 9, -3*s + 4*v + 6 = 0. Suppose -s*p = 2*p - 72. Let m be (-12)\/p*(-18)\/20. Which is the second biggest value?  (a) 2\/9  (b) m  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + v**2 - v. Let x(o) = 2*o**3 - 3*o**2 + 3*o - 6. Let b(l) = 5*l - 148. Let a be b(29). What is a*i(q) - x(q)?\nAnswer: q**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/57 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-22) + (-62)\/11 + 592\/98\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.20834947 + -8.94712283. Let x = 10.655472 + q. Let y = x + -0.5. What is y rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9626.02ns to milliseconds.\nAnswer: 0.00962602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -1. Let l(p) = 3*p. Let d(s) = -l(s) - 2*v(s). Let u(x) = 2*x - 1. Let z(b) = -3*d(b) - 4*u(b). Let j be z(3). Which is bigger: -1\/8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5\/6 of a minute?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34246574?\nAnswer: 2, 17123287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*s + 13*s + g + 4 = 0, 5*s = 2*g + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -65, -126, -183, -230, -261?\n\"Answer: h**3 - 4*h**2 - 56*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 168 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8 and -1643?\nAnswer: -13144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-14))\/(15\/1365). Let s = -10 + 14. Let y be s\/q + 186\/26. Solve y = 2*x + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 195 - 137. Let j = q + 21. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18659771 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -152, 57, -1, 3.\nAnswer: -152, -1, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*q**2\/2 + 480*q + 1053725\/2 = 0. Calculate q.\nAnswer: -373, 565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-3\/26))**(-1\/9) assuming x is positive.\nAnswer: x**(1\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1081, 4991, 11721, 21265, 33617, 48771, 66721?\n\"Answer: -j**3 + 1416*j**2 - 331*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1190 + -3766. Let w = -1316 - j. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.058142 to 4 decimal places.\nAnswer: -0.0581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*b**3 + 2*b**3 + 0*b**3)*(0 + 1 - 2) + 7*b**3 - 3*b**3 + 5*b**3)*(57*b**2 - 4*b**2 + 26*b**2) - 3*b**3 + 3*b**3 - 2*b**5.\nAnswer: 788*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3964485 and 336?\nAnswer: 63431760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-25)*-5*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2079 divided by 3143\nAnswer: 297\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 2\/7  (b) -0.2  (c) 455\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 33067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 187653031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 677*f - 1358*f - 38*f**2 + 680*f.\nAnswer: -38*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 - 2*x - 2. Let h be g(3). Let d = 2655.6 + -2652.6. Which is the closest to 0.3?  (a) d  (b) -2\/15  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-92)\/506 + (-20)\/(-352)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-498 - 20*n**4 + 498)*(2 - 1 + 0)*(-17 - 13 - 6)*(7 + 0 - 4).\nAnswer: 2160*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2 - 761684*a - 761685.\nAnswer: (a - 761685)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 14063017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 320967255 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 25 - 32?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - (-725)\/60 - (5 - 7). Let a = x - 55\/4. What is the closest to -2\/25 in 5, a, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 - 4*d + 5. Let l be z(4). Let r be 2\/(l\/(-2) - -3). What is o in 18\/5*o**5 - 6\/5*o**r + 8\/5*o**2 - 16\/5*o**3 + 0*o + 0 = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 10*z + 198. Let j be m(-20). Which is smaller: -13\/6 or j?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k**3 - 4*k**2 + k - 8. Let h be u(-4). Calculate the greatest common divisor of 52 and h.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l + 18. Give x(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7722 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.5 + -2.5. Let f = 0.1 - -1. Let r = j + f. Which is the nearest to r?  (a) 4  (b) -5\/4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -392402.5896 to the nearest 10.\nAnswer: -392400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -16 + ((-4)\/(-6))\/((-3330)\/584415 + (1 - 1))\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s + 4*s - 2*s + 3*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b**2 - 17*b + 26. Let i be j(-9). Suppose 69344 = 27*z + i*z. List the prime factors of z.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328.3078 days in milliseconds?\nAnswer: 28365793920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 180033 divided by -8.\nAnswer: -180033\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 584\nAnswer: -1\/584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*w - 53 = 12. Let 5*b**w - b**2 - 13*b**5 + 7*b**5 + b**4 + b**3 + 0*b**2 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10 + -14. Let n(t) be the third derivative of t**5\/60 + t**4\/24 - 3*t**2. Does 5 divide n(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -453.4  (b) 3  (c) 2  (d) 0  (e) 0.35  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 301 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*s - 3*o + 6, 0 = 211*s - 206*s + 2*o - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 - 3. Suppose -9 = -4*o - 1. Let j(t) = t**3 - 2. Let r(b) = -1. Let x(g) = j(g) + 2*r(g). Calculate o*x(u) - 3*h(u).\nAnswer: -u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 9*w + 4. Suppose -49 = -5*k - 4*d, -5*k - d = d - 47. What is the units digit of y(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13?  (a) -27  (b) -0.3  (c) 1\/4  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98484581?\nAnswer: 13, 19, 30671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 753 (base 9) to base 3\nAnswer: 211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*p**2 - 2*p**2 - 2*p**2)*(-3*p**3 - 3*p + 2*p**3 + p).\nAnswer: -3*p**5 - 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 10 = 4*y - 5*l, 6 = -2*y - 3*l. Is 121212\/24 + (y - (-2)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 84468700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 756124 is divided by 7561.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 53 = -3*g - 4*y, 0 = -2*g - 5*y + 37. What is the highest common factor of 12 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 123, 15, -323, -1005, -2145, -3857?\nAnswer: -6255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 172 a factor of 60499570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 231 or 695\/3?\nAnswer: 695\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*b + 13 - 13)*(-15*b**2 - 96*b**3 + 15*b**2).\nAnswer: 672*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -4*k**2 + 10*k - 6. Let w(d) = -5*d**2 + 11*d - 6. Let h(a) = -3*w(a) + 4*x(a). Let n be h(6). Suppose u + 100 - 257 = n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 10830 and 10770 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 - 21*r - 1. Let d be m(-13). Let w = 106 - d. Suppose -2*f = -4*o + w*f + 2352, -5*f + 2895 = 5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17902\/7 + 2556. Let n be 1\/4*28\/(-21). Let i = 7.3 - 7. Which is the closest to 1\/5?  (a) i  (b) z  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((1 - 7) + -3)\/(6\/(-4)). Let n(a) = a**3 - 7*a**2 + 4*a + 10. Let b be n(u). Is (1011 - 36) + -4*2\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*d*w**5 - 5712*d*w**2 - 22457*d*w - 4777521*w**5 wrt w.\nAnswer: 300*d*w**2 - 286651260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/55 - (-79)\/11. Solve 2*i = h*i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1002221 + -1110200?\nAnswer: -100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -5. Let l(g) = -2*g - 4*g - 2 + 3*g + g. Let s be l(p). Solve 2*k + 8 = -s*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cibrigbg. Give prob of sequence cgr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5418792.199993 + 5418787. Let g = i + 5.2. Round g to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of 2*k**3\/3 + 12*k - 369. Let y(r) = 10*r. What is y(a(q))?\nAnswer: 20*q**2 + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1786359 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3444530305329+-97\nAnswer: 3444530305232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h**(-1)*h)*h)**(6\/11)\/(h**(1\/3)\/(h*h\/(h**7\/h))) assuming h is positive.\nAnswer: h**(-107\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 - -0.2. Which is the third biggest value?  (a) j  (b) -2\/7  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 804\/56 + -14 + 1\/2.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -4*s + 174. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4280\/214 - (-444)\/(-22). Put r, -1, -1099 in decreasing order.\nAnswer: r, -1, -1099","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z + 46. What is the remainder when y(-13) is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -29*j - 16. Let f(k) = -5*k + 2. What is -6*f(h) - u(h)?\nAnswer: 59*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 13*y. Let w(x) be the third derivative of 0 - 1\/24*x**4 - 3*x + 0*x**3 - 11*x**2. What is v(w(d))?\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 51*c - 714, -7*j + 3*c + 2*c + 1 = -4*j + 4*c - 0*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 740470424?\nAnswer: 2, 4813, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -32.3 + 17.5. Let m = h + 15. Sort m, -1, -0.06 in ascending order.\nAnswer: -1, -0.06, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 933536083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/18 - 220\/(-18). Suppose 2*l - u = l. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 296 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 86 + -45 - 50 - (4 + -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11 - -56065?\nAnswer: 56054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 171, 605, 1557, 3285, 6047?\nAnswer: 10101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 24*i - 2. Let c(y) = 72*y - 5. What is -4*c(t) + 11*p(t)?\nAnswer: -24*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l, 1 y, and 1 s when four letters picked without replacement from {s: 1, l: 2, d: 1, y: 1, h: 1, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j**2 - 99*j + 72. What is h(-50)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1829)\/93 - (-10)\/(-3). Sort 2, o, 1\/8 in decreasing order.\nAnswer: 2, 1\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -131*-0.029\nAnswer: 3.799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - n + 3 + (-n + 3*n + 0*n)*(-284 + 205 - 82) to i*n + a and give i.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 268 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 1876000 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (4\/6)\/((-154)\/(-313698)) is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c - 5. Let d be v(4). Suppose 451 = -5*t + 4511. Suppose l = -d*l + t. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 11) in base 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/360 and 10\/99.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = b - 76, -10*h = -5*b - 8*h + 311. Let q = 80 + b. Is q a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 PM and 9:25 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3902134 and 4?\nAnswer: 7804268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -3*k**2 - 32*k + 52. Let d be j(-12). Solve -651*x + d = -655*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4236 divided by 642.\nAnswer: 706\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o + 23. Let g be l(-5). What is the highest common divisor of g and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7670987 take away 8672?\nAnswer: -7679659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 107 = 21. What is the common denominator of j and -1 - (148\/(-20))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -31?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 16*m + 18*m - 7 = 0, -32 = -g + 3*m. Let d(k) = k - 17 + g. Let n(c) = 25*c**2. Calculate d(n(l)).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -3894, -1\/6, -1, 5, -1\/3, 1\/3 in ascending order.\nAnswer: -3894, -1, -1\/3, -1\/6, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 4, d: 9, n: 1, e: 2}. Give prob of sequence nee.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + -de?\nAnswer: -e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*p + 6*p**3 - 10*p.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)*1*-3)\/(sqrt(3) + sqrt(3) + (sqrt(3) - (sqrt(1200) - sqrt(12)))).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1600)\/(-8) + 5 - 4\/(-2). Let g = w - 203. Solve j - 2*n - 6 + 3 = 0, -5*n = -g*j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2637894, 2637889, 2637880, 2637867, 2637850, 2637829, 2637804?\nAnswer: 2637775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-8)\/m)\/m)**(-20) assuming m is positive.\nAnswer: m**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/6*57)\/((2*(-3)\/2)\/3)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 47*k*s - 123*k + 6*s + 96 wrt s?\nAnswer: 47*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 316 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 10\/4*(10 + 32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -3*r - 6, 4*x + 2*r = 89 - 109 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 267?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of -3*t**4\/8 - 1103*t**2. Let z(c) = 44*c. Give f(z(i)).\nAnswer: -396*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 10.7. Let y = -19.5 - -103.5. Let l = y + -80. What is the second biggest value in n, l, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.32 - 0.22. Which is the nearest to -1\/3?  (a) -3\/4  (b) 0  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of 5*g + 0*g**2 + 14 + 25\/3*g**4 - 21\/2*g**5 + 20\/3*g**3 + 23\/6*g**6 - 10\/21*g**7. Factor h(f).\nAnswer: -5*f*(f - 2)**3*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 20*l - 114. Let v(p) = -10*p + 57. Let b(j) = 4*m(j) + 9*v(j). Let h be b(4). Solve 2*w + 7 = h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + ((sqrt(38) - sqrt(76)\/sqrt(2))\/sqrt(2))**2 + -2)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2\/17 - 194*t\/17 - 196\/17.\nAnswer: 2*(t - 98)*(t + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 12:32 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.2 + -9.356.\nAnswer: -8.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 2*w**2 + 9*w + 1. Let h be -1 - 3\/(-2)*2. Suppose -h*m + 6 = 18. Let b be v(m). Solve 3*d - b = -7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -34 + 27. Let s be (-4)\/(-6)*(-18)\/12. Sort 5, s, i in descending order.\nAnswer: 5, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-210))\/(2\/4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 4:21 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 5 = 25. Let m be (0 + -1)\/((v\/4)\/6). Let t(s) = s**3 + 5*s**2 - 6*s - 7. What is t(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7429\/969)\/((-4)\/6)*-2\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-308)\/1210)\/(28\/140).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w + 1. Let o(r) = -7*r**2 - 11*r - 3. Let v(d) = -2*d**2 - d - 2. Let m(y) = o(y) - 3*v(y). Determine -m(b) + 5*n(b).\nAnswer: b**2 + 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 3*d = 282, -g - 67 = 3*d - 1. Let c = g - -125. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 2*r - 5*r + 40, r + 2*k = 20. Suppose 2*d = -2 + r. Factor i**4 - 5\/8*i**d - 1\/4*i**2 - 1\/8*i**3 + 0*i + 0.\nAnswer: -i**2*(i - 1)**2*(5*i + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 9131 + -4 + 204\/(-51)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12044024002 + -1?\nAnswer: 12044024001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**4 - 322980*q**3 - 8506299036*q**2 + 10050473553120*q - 2904979316361408.\nAnswer: -3*(q - 572)**2*(q + 54402)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 2:50 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from xcccxxxxcdxxdxxcxex.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -67. Suppose 16 = 4*s, b + 3*s = -b + 342. What is the greatest common factor of b and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 v when three letters picked without replacement from {v: 6, j: 2, b: 11}?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/8?  (a) 2\/15  (b) -350  (c) 5  (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirteen twelths of a year?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 42.84, 2\/21, 434, -0.1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-4))\/(((-333)\/(-30))\/37).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 - (61 + 72 - 76).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(7) - ((-3 + sqrt(112) - sqrt(7)) + sqrt(7)) - (sqrt(7)*-1 + -2) - (4 + (sqrt(7) - (sqrt(105)\/sqrt(3))\/sqrt(5)))*-5)*1)**2.\nAnswer: -3600*sqrt(7) + 23508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*-6*10\/300*(-75)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34 - -6)*798\/5880*20.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**3*c**2 + 6*a**3*c + 45*a**3 + 4*a**2*c**2 + a*c - 2*c**2 - 448*c wrt a?\nAnswer: 6*c**2 + 36*c + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -8023642873730 and 0.2.\nAnswer: -8023642873729.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1061*j**2 - 1056*j**2 - 1059*j**2 - 1061*j**2 + 4236*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 3*q + 480 = 54, -214 = s + q. Let a = -103 - s. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (1 - 7 - -2 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 11:23 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8128 + -6832. Calculate the highest common factor of 1053 and s.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 1. Suppose 4*v + 5*p = -9, -5*p = -4*v - 0*p + 41. Suppose 10*f - v*f = m. Solve 3 = -o, f = 3*q + 3*o + 1 + 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 389 - 388. What is the closest to 2 in -7, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1180\/50*(17800\/(-160))\/(-89)?\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 6:10 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 5*i - 4*i = -68, 2*p + 3*i = -35. Find the common denominator of p and 6\/(-15) - (-241)\/40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1452*h**5\/7 + 133306*h**4\/7 - 435266*h**3 - 587696*h**2\/7 - 12696*h\/7 = 0. Calculate h.\nAnswer: -1\/6, -3\/121, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k**(2\/27)*k))\/k)\/k**(-33) assuming k is positive.\nAnswer: k**(862\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2288\/9?  (a) 15  (b) -4  (c) 0.3  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4783, -4731, -4645, -4525, -4371, -4183, -3961?\n\"Answer: 17*u**2 + u - 4801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -36597877.00174 - -36597574. Let i = j + 303. What is i rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-12)\/15)\/(15\/(225\/(-6))). Suppose 0 = -q*y - 2868319 - 1127681. Round y to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (141 - 112 + 310 + 330 + 51)*(-34*v - 3*v**2 + 34*v) to the form o*v**2 + s + d*v and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 0*f**2 - 2 - 5*f**2 + f - f**3 - 2*f. Let a be v(-6). Let y = -129 + 137. Calculate the highest common factor of a and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1500954 milligrams in tonnes?\nAnswer: 0.0000000001500954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 161377.02 - 161377. Let i = 2 - 3. Let y be (i - -11)*(-1)\/(-2). Which is the second biggest value?  (a) z  (b) y  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/2 - 12869*j.\nAnswer: j*(j - 25738)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 + q**2 - 1. Let n = 1 + 1. Let u(b) = -b**4 + 2*b**3 + 2*b**2 + 3*b - 2. Let m(x) = n*v(x) - u(x). What is the second derivative of m(t) wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 70800\/17 or 4165?\nAnswer: 4165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6521631?\nAnswer: 3, 2173877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.12 - 13528.83.\nAnswer: -13529.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2856 and 475801032.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-638990)\/(-220) - (-2 - (-27)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-9)\/(-6)*10\/3. Find the third derivative of -2*p**5 + 5*p**i - 5*p**5 + p**2 wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -42*x**3 - 245*x**2 + 42*x + 7. Give g(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 + 253*y + 505. What is a(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3 and 17.489976.\nAnswer: 20.489976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1934 = 581*n - 8524 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - 4 = 4*q. What is the fourth biggest value in -2\/5, 0.1, q, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22.22 + -0.01.\nAnswer: -22.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -13*a**3 + 7*a**2 + 7*a. Let c(l) = 10*l**3 + 7*l**3 + 11*l**3 - 3*l**2 - 22*l**3 - 3*l. Give -7*c(v) - 3*r(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.1 - -136.1. Let u = 131.93 - q. Let d = -1.0699991 - u. What is d rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23219.\nAnswer: 7, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**5 + 78*v**4 + v**3 - 39*v**4 - 56*v**4 + 2*v + (v**5 - 2*v**5 + 0*v**5)*(1 + 5 - 4).\nAnswer: -4*v**5 - 17*v**4 + v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that c**2\/3 + 6104*c\/3 - 8144 = 0.\nAnswer: -6108, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 17*v + 29 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67156409?\nAnswer: 17, 1621, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1102100 (base 3) in base 12?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/43 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 71370371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 31a53 - -19?\nAnswer: 31a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 64722 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3*v - 8 = 5*v, 0 = -7*a - v - 13. Suppose 2*j + j + 12 = 0. Sort a, j, 2 in increasing order.\nAnswer: j, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0 and -277239308527005.\nAnswer: -277239308527005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 204 (base 9) to base 4\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 34 = -5*d + 4*y, 0 = 4*d + 5*y - 34. Let u(a) = 9*a**3 + 6*a**2 - a + 7. Let o(p) = -8*p**3 - 5*p**2 + p - 6. Give d*u(t) + 7*o(t).\nAnswer: -2*t**3 + t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-10)\/(-20))\/1)\/((-52)\/8).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 4*g**2 - 15*g + 285. Let h be j(-25). What is the greatest common factor of 40 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 972?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*((-2)\/(-2))\/(-1). Let f be 37 - 1*2\/z. Suppose -3*c + 4*d + f = 12, d + 13 = 2*c. Solve 5 = c*l - 0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -46254997, -92510016, -138765035?\n\"Answer: -46255019*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p**2 - 12*p + 4. Give w(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -a + 1119, -13*a + 11*a = s - 222. Let n = 287 - s. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.091 - 0.274. Let k = 0.105 + z. Let y = 0.260387 + k. What is y rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/(-5) - 2\/2. Let g be (1 - 26\/22)*(-20)\/(-20). Put 0.1, g, z in increasing order.\nAnswer: g, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (190*z**2 + 776*z**2 - 182*z**2 + (0*z - z + 2*z)*(-3 + 3 + z) + 0*z**2 - 2*z**2 + 3*z**2 - z**2 - 3*z + 3*z)*(-2 + 0 - 1).\nAnswer: -2355*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (2718\/3456)\/((-143)\/52) and -107\/1536?\nAnswer: 16896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12408\/4653*12\/56\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -116.203 - -0.203. Let g = -115.49 - w. Let p = -0.51062 + g. Round p to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9750 and -11.\nAnswer: -107250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + 3*w + 0*w)*(-1 + 1 + w) + 3*w**2 - 3*w**2 - w**2 - 1 - 14*w**2 + 5 - 3.\nAnswer: -13*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 9.5. Let m = t - -0.5. Let a = -4.3 + -0.7. Is a > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b**11)*b*b\/(b*b**(-3\/10)))\/(b\/b**(1\/7)*b**(-3)\/b))**(-34) assuming b is positive.\nAnswer: b**(7803\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -10 - 86. Suppose 2*g = -2*g + 376. What is the remainder when g is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-39)\/(-156))\/(249\/(-2739))\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7127.33 litres?\nAnswer: 7127330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 226696?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 0*b = 48. Let a = b - 2. Calculate the remainder when 39 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1761034*x - 15*x**3 + 11*x**3 + 1761034*x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -18*(105\/(-9) + -2). Suppose -d = -3*r - 2*g - g, -2*g = 3*r - 244. What is the smallest common multiple of 2 and 3\/1*r\/12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 1 = 0, -a + 11 = -31*j + 32*j. Suppose -140 = -25*y - a*y. Solve 0 = 2*w + 3*q - 4, w = y*q + 2 + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -802, -3201, -7206, -12823, -20058, -28917, -39406, -51531?\n\"Answer: -p**3 - 797*p**2 - p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u**2 + 14*u - 15. Let h be j(6). Is (h + 4)*1\/2*746 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-3 - (-1 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -3*n**2 + 1157022*n + 1157025 = 0.\nAnswer: -1, 385675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1051\/5418 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -863 + 947 - (66 + 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 4*y**3 + 6*y**2 + y - 15. Calculate the smallest common multiple of 30 and v(3).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 67, 122, 197, 298, 431, 602?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7772728.\nAnswer: 2, 971591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 + 5*m - 3. Let p be h(4). Let i(f) = 7*f**2 - 8*f**2 - f**3 - 2 + p - 4*f. Is i(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -6, 10, -950, 34 in descending order.\nAnswer: 34, 10, -3, -6, -950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 247 is divided by (-18)\/(-4)*5\/(30\/32).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -741789, -1483538, -2225287, -2967036?\n\"Answer: -741749*w - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1296094453.\nAnswer: 3833, 338141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 9961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*c = 25*c + 48. Is 33 a factor of c\/(-1)*(-33)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -8, 5, -1, 24183, 6, 0.\nAnswer: -8, -1, 0, 1, 5, 6, 24183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 PM and 2:19 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 669760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 36806*p**2 - 13*p + 52. Let y be i(24). Suppose o - 2*x - 10995630 = -395638, x + y = 2*o. Round o to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**2 + d - d + (-2*d - 3*d + 7*d)*(-2*d + 5*d - 2*d) - 3*d**2 - 5*d**2 - 6*d**2 - 4*d**2 + 6*d**2 - 10*d**2.\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -16891 (base 10) to base 6\nAnswer: -210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3707 + 6185. List the prime factors of p.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2721*r + 2721*r - 7461*r**2 + r + 2*r**2 - r + (-1 + 1 + 2)*(-r**2 + 2*r**2 + 0*r**2).\nAnswer: -7457*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 5*s + 1374 = 1334, 0*a = 5*a + s - 28 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 6 = -2*b, -9*b = -3*c - 13*b + 20. Calculate the remainder when 94 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -0.1, -5\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 3, g: 1, e: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -241200 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (13 - -63 - 17) + -39\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -87cee (base 15) in base 8?\nAnswer: -1512675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 337 - 345 = 0. Suppose -d*m - 6 = 0, -2 = -u + m + 4. Determine q, given that -1\/4*q**u - 1\/8*q**5 - 3\/8*q**4 + 1\/8 + 3\/8*q + 1\/4*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 2) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -648605, -1297140, -1945675, -2594210, -3242745?\nAnswer: -3891280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.06  (b) -1\/4  (c) -27\/7  (d) -261  (e) -13  (f) 0.1  (g) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 7*h = 3*h - 15, -5*h - 45 = -5*l. What is the remainder when -1 - 2 - (-129 - (3 - l)) is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -494*j**3 + 50611*j + 50611*j - 101222*j.\nAnswer: -494*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of m**6\/60 + m**5\/15 + m**2 + 1. Let x(j) be the second derivative of y(j). Find the third derivative of x(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*b*f**3*x - 2319795*b*f**2*x - 3*f**3 + 2*f*x + 4*f - 42561 wrt b?\nAnswer: -2*f**3*x - 2319795*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74410943 is divided by 24803646.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00200897 to 5 dps.\nAnswer: -0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147*u + 62*u = 1700 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -1757*p**2 - 6*p**3 - 39079*p - 483*p**2 + 4*p**3 + 39079*p as t + z*p + v*p**3 + r*p**2 and give r.\nAnswer: -2240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the second derivative of 0 + o + 4\/3*o**3 - 23\/30*o**4 - 4\/5*o**2 + 7\/50*o**5. What is r in v(r) = 0?\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate j*r - 60*j + 296*r - 2 wrt j.\nAnswer: r - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 0*u - 3*u + 29 = 0, 3*u = g - 13. Suppose 2*y - g*y + 20 = 0. Solve 0 = y*b - 4 - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2859, -2734, -2613, -2496, -2383?\n\"Answer: -2*p**2 + 131*p - 2988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.7 - 0.3. Let d = -2283\/5 + 457. Which is the nearest to v?  (a) d  (b) 5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -236*l + 981 = 1691 + 1068 + 818 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 - 53*h**2 - 139*h + 7361. Determine n(53).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*v**2 - 25*v**2 + 5*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24385860 and 15?\nAnswer: 24385860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c + 15. Let n be w(-19). Find the second derivative of 51*b - 96*b + n*b - 88*b**3 wrt b.\nAnswer: -528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 772649041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1399 * -3.\nAnswer: -4197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-129 - -62) + (-13 - (-10 - -8)) + -22\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -2057691.\nAnswer: -2\/2057691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 25101 = s, 3*s + 5*i - 125505 = -2*s. Suppose -s = -19*u + 16*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 PM and 7:33 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h = -151 + 2241. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1334846451\/2 at least as big as -667423226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -2507601 at least -2507601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/79, 0.042, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 993.7124ms in seconds?\nAnswer: 0.9937124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + 2 + (-4 - (-1 + (4 - 2)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26280?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p**3 - 736605*p**2 + 27128241360*p + 81391353660 = 0 for p.\nAnswer: -3, 73662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1983705691501 plus 216?\nAnswer: -1983705691285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 61548 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -x + 8. Suppose -w - 4*z = -z + 27, -4*z + 28 = -x*w. What are the prime factors of (w\/10)\/((-12)\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 21*g = 25*g - 118068, -5*g + 118070 = 4*d. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 6\/25 of a hour?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 82741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.035, -1\/2, 0 in ascending order.\nAnswer: -1\/2, -0.035, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of -j**4\/24 - 4*j**3 - 9. Let i(s) be the third derivative of h(s). Let w(x) = -2*x + 7 + 25 - 32. What is 2*i(n) - w(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**2 + 2*m + 1. Let f = -1360 + 2203. Let w(b) = b**2 + 1690 - f - 846. Calculate w(t) + z(t).\nAnswer: 3*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/21, 167, -0.5, 7, 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41967.61 seconds to nanoseconds.\nAnswer: 41967610000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b = 3*b + 100. Solve 0 = -8*c + 3*c + b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/15)\/((-1)\/(-5)). Let a(u) = 0*u**2 + 6*u - 3 + 3*u**v - u**2. Let n be a(5). What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 93 + 6. Let o = 87 - a. Is ((-1071)\/o + 4)\/((-1)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 0 + 11)*(-2*h - 1 + 1)*(1 + h - 1 + 1)*(-45*h**2 - 6*h**2 + 3*h**2) as x*h**2 + j + a*h + i*h**3 + o*h**4 and give i.\nAnswer: 1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 3*d + 3 = 4*d, 2*j + 7 = 3*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -6821.49764+-1960.63\nAnswer: -8782.12764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 117.6 * -15.5\nAnswer: -1822.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 935 - 934. What is the third smallest value in g, 0.056, 2, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 12001200?\nAnswer: 12001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 119819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 - v + 1. Let n(w) = -6*w**3 + 6*w**2 - 9*w + 4. Let x(t) = -5*k(t) + n(t). Give x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l**2 + 2*l. Let k(j) = -533*j - 2662. Let b be k(-5). Let r(n) = 3*n**2 - 3*n - 1. Determine b*d(s) + 2*r(s).\nAnswer: -3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**2\/s*s**6\/s*s*s)\/(s**7\/(((s*s*s*s*s**(1\/2)*s*s)\/s)\/s*s)))**(2\/35) assuming s is positive.\nAnswer: s**(13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 424437 and 0.0835.\nAnswer: 35440.4895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 423 greater than 424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5068 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7334 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -3*y + 5*y - i, -y + 5*i = -7. Suppose -10 + 46 = 3*s. What is the highest common divisor of s and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 657324718.\nAnswer: 2, 109, 1427, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -132 (base 6) in base 5?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 189 = 4*l + 29. Suppose l = 2*f + 3*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3 + -0.5. Let i = 5031\/8 - 15109\/24. Which is the nearest to 14?  (a) 1\/5  (b) i  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(12) - sqrt(3)) - (sqrt(3) + 1 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 301460 is divided by 100.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from ygyqgzwqyg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*k**2 - 2*k**2 + 2*k**2.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 5*c**2 + 2*c. Let z(m) = 17*m**2 + 7*m. Let x(k) = -7*j(k) + 2*z(k). Let w(l) = 13*l. Calculate x(w(q)).\nAnswer: -169*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(272) + sqrt(102)\/(2*sqrt(6)) - 3*(3*(sqrt(119) + -3*sqrt(119) + sqrt(119))\/sqrt(7))**2.\nAnswer: -459 - 31*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 7*w**2 + 18*w + 54. Calculate c(-5).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express c**3 + 139 + 3*c**2 - 144 - 2*c**2 in the form g*c + s + y*c**2 + a*c**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 14841847 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 4 = -29. Let s = 446 + -473. Which is the nearest to s?  (a) 0.1  (b) 4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*y + 29*y + 8024708*y**2 + 8024906*y**2 - 16049617*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 22 - 142 = -4*u, -5*u + 125 = d. Calculate the remainder when d is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -o + 5. Let i(g) = 14 - 3*g**2 - 25*g - g**o + 3*g**2 + 28*g. Let n be i(6). What is the closest to 1 in -0.01, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -6*v. Let f(h) be the second derivative of h**6\/720 - 4*h**4\/3 + 6*h. Let s(n) be the third derivative of f(n). Determine s(d(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 25*w = -95, 5*w = -16*p + 11*p + 55 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/128 and -24\/187.\nAnswer: 23936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 233256570 to the nearest one hundred thousand.\nAnswer: 233300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4959 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76371 is divided by 25302?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1484 divided by 371.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3176 + -3166. Solve 0 = -h*f - 25 + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 654732420?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-7) - (-5)\/105. Let a = -0.01 - 4.99. Let x = a + 8. What is the nearest to q in x, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 862 + 857 + 853 - 2572 - 57*i - 1296*i**2.\nAnswer: -1296*i**2 - 57*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 108 = -7*m. Suppose -4*q + m = -0. Solve 4*b - b = -q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4715 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2061 at most 2061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 9 = -4*u, -5*k + 2*k - 5 = -5*u. Let y be ((-3)\/(-9))\/(u - 5\/5). Find f such that -y*f**4 + 0*f**2 + 1\/9 + 2\/9*f - 2\/9*f**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 166.6 + -162.6. What is the second smallest value in l, 5, -0.23, 22, -2\/7?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -2.2  (b) -0.3  (c) 59  (d) -0.4  (e) 8  (f) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -96 and 2720?\nAnswer: -261120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 280258 + -18.3483.\nAnswer: 280239.6517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9.33 + -0.33. Which is the nearest to 0?  (a) l  (b) -4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-128)\/(-8) + -13)*120\/(-45)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-65)\/(-150)*(-52 + 56). Factor -8\/5*t**2 + l*t + 8\/15.\nAnswer: -2*(3*t - 4)*(4*t + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1000 = -65*f + 73*f. Which is greater: f or -126?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**11)\/w**3 assuming w is positive.\nAnswer: w**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -2*t + 60. Let j = t - 7. Suppose -3*p + 99 = 4*x, -25 = j*p + 3*x - 201. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**3 + 3*i + 3. Is r(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 10:31 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2520)\/(-90))\/((154\/33)\/((-12)\/(-9)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*l + 23*l = 31 - 115 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = -5*i + 5, -257*j = -253*j - 2*i + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35753 + 35753 + 5*f**3 + 1581133*f - f**2 - 1581133*f.\nAnswer: 5*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 19*z - 37. Calculate a(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from cuuauaua.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -28.12 - -0.0539666134.\nAnswer: -28.0660333866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + 11*g**2 + 4*g + 3. Let n be q(-7). Let v = n + -104. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 30, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 + 11*z + 21. Let m be d(-9). Let g = -0.03 - 1.97. Let j = g + 1. Which is smaller: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7121.2309 plus 34.82?\nAnswer: 7156.0509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 2625 = 3*d - 4098, 3*n - 6713 = -d. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011100001001110111 + -101010?\nAnswer: -10011100001010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-31)\/3 - 8\/(-24). Let c be (22\/k + 2)\/(7\/(-70)). What is the highest common divisor of 32 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {c: 2, u: 2, m: 11}?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 15*l + 77. Let c be n(-5). What is w in -w - 1 + 3*w**5 + 2*w**2 - 215*w**4 + 214*w**4 + c*w**3 - 4*w**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -1, -2, -45, 1 in ascending order.\nAnswer: -45, -2, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1 + -0.1. Let m = -1.4342 - -13.4342. Which is the smallest value?  (a) u  (b) 3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 267006 is divided by 114?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f**4 + 2*f + f**3 - 3 + 3*f**3 - 2*f**3 as k*f + n + t*f**4 + m*f**3 + g*f**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 593 + -311. Let t = 285 - w. Put 4\/5, -22\/5, t in descending order.\nAnswer: t, 4\/5, -22\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 + 15*l + 4. What is the units digit of t(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(1\/10)\/y)\/y)\/y**(3\/5))**(-10)\/((y**(2\/9)\/y)**(-4\/3))**(4\/13) assuming y is positive.\nAnswer: y**(8663\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-18)\/15*5\/(-2). Suppose 2*o = 2*v - 5*v + 9, 5*v - 15 = o. Suppose 6 = -d*s + v*x, 0*s + 3*s + 2*x = 19. Solve 1 - 7 = -s*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3602.\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 2227, 4, -0.4, 0.03, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6331669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 3 + 4*b**2 + 85*b - 79*b + 6. Let q = 9 + -6. Let r(w) = -5*w**2 - 6*w - 9. Let a(c) = q*r(c) + 4*n(c). Factor a(o).\nAnswer: (o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 10*i**3 - 5*i**2 - 5*i - 5. Let t(f) = -5*f**3 + 2*f**2 + 2*f + 2. What is -2*c(j) - 5*t(j)?\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x + 2*x + 0*x + (-2 + 6 - 5)*(-53 + 53 + 7*x))*(23 + 13 + 13).\nAnswer: -392*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(1\/3))**(-30)\/(x*((x*x*x**(-1)*x)\/x)\/x)**(-33))\/((x*x\/(x\/(x*x*x*x\/(x*x**(-1\/4)\/x*x*x*x))))**(14\/9)*x**(-2\/17)*x**2) assuming x is positive.\nAnswer: x**(-421\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 4. Let g be y\/6*-2 + 1. Solve -5*w - 5 = -t + 3*t, 5*w + t = g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {v: 1, w: 6, c: 3, d: 5, f: 2}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -12, -38, -78, -132, -200?\n\"Answer: -7*l**2 - 5*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 - 16*s**2 + 14*s + 20. Calculate z(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/1233 and -39\/1370?\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (0 + 790)\/(-5 + (-943)\/(-184))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -69 + 69.132. Let l = -0.132133 + w. Round l to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 433538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 12 = -3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of 2*y**4 - 3*y**3 - 19847. Let b(g) = 15*g**3 - 18*g**2. Suppose -3*j + 28 = -5. What is j*m(t) - 6*b(t)?\nAnswer: -2*t**3 + 9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -132*g**3 - 9*g**2 + 1441*g - 49086090 wrt g.\nAnswer: -396*g**2 - 18*g + 1441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 9*a**5 - 13596*a**4 - 562893*a**3 - 186120*a**2 = 0.\nAnswer: -40, -1\/3, 0, 1551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3566585654?\nAnswer: 2, 41, 701, 62047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 3*n - 3 + 3*n + 3*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1087 (base 10) to base 12.\nAnswer: -767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16854.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand a + 0*a + 0*a - 5 + 5 - a + 2*a - 2*a + a + (2*a + 0*a - 4*a)*(-2 - 1 + 1) + (a - 2*a + 2*a)*(-438 + 865 + 470).\nAnswer: 902*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 14*c**2 + 2*c. Let f(n) = n. Let x(q) = 10*q. Let r(p) = -18*f(p) + 2*x(p). Give a(r(i)).\nAnswer: 56*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of 8*u**2 + 24 + 2\/3*u**3 + 0*u. Find the second derivative of a(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + -5 - 100\/(-45). Which is the fourth smallest value?  (a) -16  (b) -2  (c) 5  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-4) + (-32)\/(-12400). Let l = u + -2\/775. Factor -g + l + 1\/2*g**2.\nAnswer: (g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/4*(-48)\/20)\/((-6)\/90).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43155 divided by -45.\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39 and 5304.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 138630 and 23570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28 - 26. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1467 in 1, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19182 - (2\/4)\/(10\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1993721322.\nAnswer: 2, 3, 71, 4680097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 39*y**2 - 17*y + 4 - 16*y**2 + 15*y - 2. Suppose -m + 5*i + 12 = 0, 16 = 2*m + 2*m - 4*i. What is the units digit of l(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2087 is divided by 2049?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - h = 4*h, -2*v + 14 = -5*h. Suppose v*z = -z. Which is smaller: z or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 9*b + 10*b - 8*b - 6 + b**2. What are the prime factors of j(-13)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8433 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of 5*g**7\/7 + 23*g**3\/3 + 3. Find the third derivative of u(m) wrt m.\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -685*j**2. Let o(g) = -19182*g**2. Determine -5*o(x) + 139*t(x).\nAnswer: 695*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of -27*(0 - 52\/39) and 176?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 214.280274 + -211.3803. Let c = -6.3 - -3.4. Let b = c + s. Round b to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-6*-17*(-18)\/35802)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 2657 + 2657. Solve a = -283*m + 282*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p + 11. Let q be z(-9). Suppose -2*c + 5*l = -1, -q*c - 4*l + 9 = -1. Suppose c*g = -12 + 36. Calculate the smallest common multiple of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the third derivative of 0*l**3 + 0*l**6 + 0 - 1\/16*l**4 - 1\/70*l**7 - 67*l**2 + 1\/224*l**8 + 0*l + 1\/20*l**5. Determine n so that k(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = 8*m - 55. Let c(o) be the second derivative of -o**3\/3 + 3*o**2\/2 - 2*o. Let a be c(m). Calculate the highest common factor of 45 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f. Let s(q) = -29*q**2 - 117*q - 1. Determine y(s(x)).\nAnswer: 58*x**2 + 234*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -32273000 to the nearest one hundred thousand.\nAnswer: -32300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + -53?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.9  (b) -127.26  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 3 = 7. Let w = n + 15. What is the remainder when 11 is divided by -2*2\/(w\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 53, -4, -1, 4, 165871?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 185 - -1149008?\nAnswer: 1149193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -186, 4, 7 in descending order.\nAnswer: 7, 5, 4, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g - 4. Let m be (-5 - -1)*15\/(-10). Let z be b(m). Suppose 0*t + 5*q = z*t - 10, t = -q + 5. What is the third biggest value in t, -3\/5, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25\/225*1*9*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -16560*j + 248416. What is b(15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y - 274 = -225 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 952 + -952. Suppose k + k + 5*h = 14, 2*k = -h + 6. Put -4, n, -0.1, k in ascending order.\nAnswer: -4, -0.1, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5479.7 + 5480. What is the nearest to -2 in r, -5, -57, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + u - 6. Let h be y(-8). Let r = h - 25. Let s(m) = 13*m**2 + m. What is the remainder when r is divided by s(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 83563 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3306)\/(-18) - 4)\/(4\/12). Calculate the greatest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 636193.\nAnswer: 636193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - 7*q + 24. Give t(10).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + (5 - 13) + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4004, -19286, -50930, -103988, -183512?\nAnswer: -294554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/18 - 160\/(-72). Let z be (7 - r)*(-28)\/10. Calculate the remainder when 30 is divided by 0 - 3 - (z - 5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*u**2 + 0*u**2 + 380142 - 190071 - 190071 - 10*u + u.\nAnswer: 3*u**2 - 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/40 and -113\/2024?\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 16\/(-112) - 27\/7. Suppose 5*o = -0*o + 25. Put c, o, -2 in descending order.\nAnswer: o, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 175 + -896\/5. What is the common denominator of t and ((-184)\/12)\/(226\/3)?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112 - -22022111122211?\nAnswer: 22022111200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 592030.6 millilitres?\nAnswer: 592.0306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1096212.\nAnswer: 2, 3, 13, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + 536584?\nAnswer: 536581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 6 - -3 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 573*f**3 + f + 199 wrt f.\nAnswer: 3438*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 485 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1894  (b) -5  (c) 285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 2*n = -6, 4*z + 21*n + 6 = 19*n. Suppose 3*d + 3*g - 507 = z, -24*g = -2*d - 28*g + 328. Calculate the smallest common multiple of 10 and d.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence egg when three letters picked without replacement from {f: 4, e: 8, o: 1, g: 2}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 565 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/256 and -7\/128.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-51)\/(-5) - (-3)\/(-15). Let u(j) = -j - 2. Let o(v) = -v - 12. Let h(f) = n*u(f) - 5*o(f). What is the derivative of h(w) wrt w?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 32465, -542?\nAnswer: 32465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 4637444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {f: 1, v: 2, w: 2, p: 1, s: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1298 and -0.4.\nAnswer: -519.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16953998 to the nearest integer?\nAnswer: 4118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (10 + -5)*(5 - 3 - 3). Let w(j) = -2*j**2 - 4*j + 5. Let a(t) = 3*t**2 + 7*t - 7 + 0*t - t. Determine l*a(n) - 7*w(n).\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 299397551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 2 = -3*v + h - 5, 0 = -4*v - h - 18 + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25 - 24) + (-1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -86?  (a) 5  (b) -2\/3  (c) -0.1  (d) 25.78  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 3 = 0, 2*u + 4 = -3*n - 1. Let c be 8\/(-12)*(-23 + u). Solve 3*f - 2*s + 3 = -5, f + c = 4*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2809\/42 - 565\/7. Calculate the common denominator of l and ((-2)\/4)\/(10\/325).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 3*o + 26 = -5*f, o = 5*f + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 3*u + 5280, 5*u - 683 = -3*d + 4581. List the prime factors of d.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -10.5. Let s = w - 13.5. Let p = s - -11. Sort 0.1, p, -0.2 in ascending order.\nAnswer: p, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*f + 0 = -26. Which is the second smallest value?  (a) 0.5  (b) f  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1712184 and 147675870?\nAnswer: 590703480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8 - 71214?\nAnswer: -71205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -453 - 24100554?\nAnswer: -24101451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*c + 0 + 5 - 2 - 5 wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 778166110 rounded to the nearest one million?\nAnswer: 778000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 60\/16 - 7\/(7\/4). Let w be 17\/8 + 6\/(-48). Which is the closest to 5?  (a) -2  (b) w  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31636 is divided by 14490.\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + -365126562?\nAnswer: -365126564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 42448244 or 42448243?\nAnswer: 42448243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -3\/2*t**2 - 24 + 15*t = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.3188 and 1881?\nAnswer: 2480.6628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -3.2  (b) 5  (c) 20  (d) -1\/4  (e) -2\/7  (f) -1\/3  (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 3*l**3 - 7*l**2 - 7*l. What is the units digit of p(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 4\/3  (c) 0.5  (d) 0.1  (e) -237\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 184, -914, -1712, -2060, -1808?\n\"Answer: 25*u**3 - 1273*u + 1432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 339123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -20296*f - 7. Let a be z(3). Let n = a + 146895. What is n rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 = 3*d - 50. What is the remainder when d is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 9) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.091 in 4\/7, -331, -65?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000018539 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-156))\/(-4 - 57\/(-12))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2866481*u. Let s(x) = -5*x**2. Determine c(s(l)).\nAnswer: -14332405*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Express (7*z - 52 + 52 + (3 - 4 - 1)*(z - z - z))*(-3 + 3 + 3*z**3) in the form q + o*z**2 + p*z**4 + c*z + y*z**3 and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2. Let i(u) be the second derivative of -31*u**6\/30 - u**4\/4 + 39*u**2 - u - 87. Let n(c) = 3*g(c) - i(c). Differentiate n(v) wrt v.\nAnswer: 124*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(78)\/(sqrt(150) - (sqrt(150) + (sqrt(150) - 2*sqrt(150) - sqrt(150)))) - (sqrt(468) + 0 + -1).\nAnswer: -59*sqrt(13)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 433, 0, -1 in ascending order.\nAnswer: -1, 0, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 230\/7 - 16\/(-112)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 255 and 595?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -ab86a (base 15) in base 8?\nAnswer: -2050773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {s: 6, w: 1, m: 2, f: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 5, o: 1, t: 3}. Give prob of sequence et.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-58058)\/(-441) - 4\/18. Let o = a - 131. Let x be 9\/7 + 6\/(-6). What is the smallest value in -2\/5, x, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -3*m - 83, 0 = 2*x + 3*m + 137 - 204. Suppose -2 = -5*h + 8. Let s be 1\/h + 38\/4. Calculate the greatest common factor of s and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 26 and -1437?\nAnswer: -37362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/(-84)*-20)\/((-3)\/((-270)\/25)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 14*h - 21. Let a be ((-42)\/(-28))\/(h\/68). Suppose -q - a = -x, 8 = 3*q - 1. Solve 3*j = -j + x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of p*q*r**2 - 4511*p*q*r + p*q + 4378*p*r**4 + p*r - 4*q*r**3 + 9*r**4 - 2 wrt r?\nAnswer: 105072*p*r - 24*q + 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 10:14 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x**3 - 3*x**2 - 14*x + 62. Let s be v(5). Let p be s\/72 - 9\/24. Which is the nearest to 0.1?  (a) -4  (b) p  (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*i + 0*i**4 - i**4 + 0*i + (50*i - 97*i - 60*i - 564*i)*(2*i**3 - 4*i**3 + i**3).\nAnswer: 670*i**4 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 5*v - 0*y - 220, 0 = 3*v + 3*y - 120. Let g be -2*10*(-26)\/8. Let s = g - v. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 249 - 23. Let y = i - 226.1026. Let p = -0.10260447 - y. What is p rounded to seven decimal places?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-4 + 3*sqrt(567)*2 - (2*(sqrt(567) - (2 + sqrt(567))) + 4))*-2)**2.\nAnswer: -2376*sqrt(7) + 81769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -949*k + 1225 - 1225 + 4231*k to the form c + h*k and give h.\nAnswer: 3282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 0 = 4. Suppose -k*j - 4*b = -36, 3*b = 3*j + 2*b - 11. What is the second derivative of -4*i**5 + 0*i**5 + 0*i + i**j + 2*i wrt i?\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 7) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 + 54. Suppose -2*f - 2*a = -6*a - v, 4*f = -2*a + 42. Is (2\/f)\/(-1) + (-21067)\/(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*d + 75017087 = 75019103 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 2*x - 90 = -4*x, 5*q - 4*x - 172 = 0. Suppose -q*z + 14 = -25*z. Solve -3*l - z*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 PM and 5:39 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5742907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.7 * 431.\nAnswer: -732.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 92587.\nAnswer: -185174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85)*-2)\/sqrt(5) + (2*sqrt(136))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k. Suppose 2*o - 6 = 4*f + 4, -4*f = 2*o - 2. Let l(n) = -3*n**2 - 4*n. Determine f*l(q) + 3*w(q).\nAnswer: 3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((sqrt(68) + 1)*-2 + (sqrt(68) - (sqrt(68) - (sqrt(68) + 3))*4))*-6)*4.\nAnswer: -240 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 49 = -2*i - 42, 2*y + 2*i = 182. Let r(t) = -15*t + 6 + 38 - y*t - 20*t. Is r(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 103 = 22. Suppose -5*v + 5 = -a. Let z(p) be the second derivative of p**3\/6 - 7*p**2\/2 + 9*p. Give z(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a + 12. Let l be k(16). Let o(d) = -d**2 - 5*d - 1. Let v be o(l). Solve 3*c - 2*c = -2, -3*p + v*c + 9 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24002 (base 6) in base 12?\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -16*z. Let j be (-2)\/(-1) - (2 + -2 + -2). Suppose f + j*f = 735. Suppose f*q = 149*q - 2. Determine v(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18721846 and 11011?\nAnswer: 131052922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24, -52, -78, -102?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -3*x - 27599999, 3*x - 8*x - 45999999 = l. What is x rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 204524291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 335 and 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*i = -6*i - 293 - 136 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/7))**(-48)\/(i*i**(-10)*i*i**20\/i) assuming i is positive.\nAnswer: i**(67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.83599+2.9\nAnswer: 3.73599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and -1593787203.\nAnswer: -1593787203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -59\/76 + 10\/19. Which is the second smallest value?  (a) -2  (b) -5  (c) -3  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) 5  (c) 517\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3799870817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9049006*k**3*o + k**3 - 1954554*k*o + k wrt k?\nAnswer: -54294036*k*o + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r + 7. Suppose 2*m - m - 7 = 0. Let i be q(m). Let t be (-1)\/(2\/(i + -30)). What is the highest common divisor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/j**(1\/3)))\/j**(-2\/11)*(j*j*j**(-1\/3)*j)**(-1\/3) assuming j is positive.\nAnswer: j**(-37\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 186078921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.537062 rounded to two dps?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 21872*f - 49. Is b(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*a**4 - 12*a**4 + 9*a**4 + (16 - 9 + 11)*(2*a**2 - 3*a**4 - 2*a**2) as r*a**3 + z + d*a**4 + s*a + f*a**2 and give d.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -69488, 4 in decreasing order.\nAnswer: 4, -11, -69488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.0754 rounded to 1 decimal place?\nAnswer: 31.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.177 - 0.092. Let c = j - -7.515. What is c rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2886 * 2.\nAnswer: -0.5772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2 and 3963887759.\nAnswer: 3963887757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 5*s = 15, -r + 6*r = 2*s + 13. Suppose -8 - r = -3*d. Calculate the remainder when 7 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -23\/9, -1\/4, 0.3?\nAnswer: -23\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -15111, -15108, -15105, -15102, -15099?\n\"Answer: 3*b - 15114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 greater than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -101222210110 (base 3) in base 7?\nAnswer: -1560540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t**5 - 4*t**5 - 3*t**5 + (3*t + 4*t - 3*t)*(3*t**4 + 0*t**4 - t**4).\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -4*h - 5. Let c be q(-3). Suppose -4*w = -8 - 4, 0 = 2*v + w - c. Is 1\/v*(444 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -2898*j**3 + 2*j**2 - 6. Let l be b(-7). Suppose l = f + 3894106. What is f rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (65\/4)\/((-170)\/31008*-57)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4.47122565 - -6.47516054. Let i = -2.004 + b. Round i to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 0) + 10 + 10 + -24\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 3*d + 45 = 0. Let j(v) = -39*v - 11. Let m(g) = 235*g + 61. Let h(c) = -6*j(c) - m(c). What is h(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20.54 + -0.46. Let p = g + 10.8. Round p to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, g: 2}. What is prob of sequence sg?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n. Let x(o) = -21284*o**2 + 6170*o. What is x(j(c))?\nAnswer: -21284*c**2 + 6170*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15478.84 + -15773. Let b = i + 294. Let d = 1202\/7 + -172. Which is bigger: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 34 + -74. Let v = -16 - p. What is the tens digit of (5 - 2) + (v - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -657*c*f**6 - 45*c*f**2 - 7*c wrt f.\nAnswer: -78840*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11*r + 15*r - 18*r)*(-75 + 5*r + 4*r + 74) + 21*r**2 - 43*r**2 + 2*r + 18*r**2 to the form p*r**2 + f*r + z and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (0 - -1) + (-16 - -15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2158118, 2158127, 2158134, 2158139, 2158142, 2158143, 2158142?\n\"Answer: -n**2 + 12*n + 2158107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 4  (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5 - (0 + 40\/((-48)\/(-6)) + -26). Let q(h) = 4*h**2 + h - 1. Let o be q(-2). Which is greater: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5f (base 16) in base 2?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 62*s**3 - 784 + 784 + 0*s**3 + 0*s**3 + 2*s**3 - s - 2*s**3 + s + (0*s**2 - s**2 + 3*s**2)*(-3*s + 0*s + s).\nAnswer: 58*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 533664121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(2) + -2 + sqrt(32)).\nAnswer: -8 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46239937.\nAnswer: 46239937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21249192 is divided by 80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 25 or 703\/28?\nAnswer: 703\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -92*p + 534. Is 13 a factor of a(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of -q**7\/490 - 3*q**6\/140 - q**5\/140 + 3*q**4\/7 - 8*q**3\/7 + 173*q**2 - 2. Suppose v(w) = 0. What is w?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -225644 divided by -8\nAnswer: 56411\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -163*q = 160*q - 298*q - 100. Let v = -5 - -4. Sort v, 2, q in ascending order.\nAnswer: v, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*h**3 - 6*h**3 + 19691 - 19691)*(-9 - 2*h**2 + 9).\nAnswer: 30*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/(-48))\/(12\/(-132))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 38640 divided by -210?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wtw when three letters picked without replacement from twttttwtttttttttwt.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s + 68*s - 261*s + 57*s + 73*s + 66*s + 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/247 and -101\/2756?\nAnswer: 52364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -30 - 158. Suppose c + 19 = i. Calculate the remainder when i is divided by 2 + -2 + 25 + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 118164 and 1464.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -45, 4, -13 in descending order.\nAnswer: 4, -1, -13, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-36*t**3 - 39 + 39)*(-4*t - t + 3*t)*(2838 - 2837 - 10*t - 19*t).\nAnswer: -2088*t**5 + 72*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 7*a - 18.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -31, 44, 339, 974, 2069, 3744?\n\"Answer: 20*n**3 - 10*n**2 - 35*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 20*w**4 - 104*w**3 + 524*w**2 - 584*w. Let u(g) = g**4 + g**3 + g. Let x(m) = l(m) - 16*u(m). Factor x(y).\nAnswer: 4*y*(y - 25)*(y - 3)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b + 1. Let d be a(2). Calculate the remainder when 28 is divided by 6\/4*20\/d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1132 (base 5) in base 15?\nAnswer: -b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-3\/5)*g**(9\/2) assuming g is positive.\nAnswer: g**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/n**2)\/n)**26\/(n\/n**(-7\/4)*n*(n**(-8)*n)\/n))**(-12) assuming n is positive.\nAnswer: n**573","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -573*f - 6860. Let p be t(-12). Solve -4*z = -b + 32 - 20, 0 = 3*b - 2*z - p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 199, 847, 1941, 3487, 5491, 7959, 10897?\n\"Answer: s**3 + 217*s**2 - 10*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -111, -108, -105, -102?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -473, -475, -477, -479, -481, -483?\n\"Answer: -2*j - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*p*v*x**3 - p*v*x**2 - 267*p*v - 13411*v*x**3 wrt x.\nAnswer: -12*p*v - 80466*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 - 19*s + 1807. What is f(34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3311*c**3 + 1445 - 3408*c**3 - 1445 - 8*c**2.\nAnswer: -6719*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7378775 - 24075817 + 6517487 = -305*y. What is the ten thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18.3 - -17.958. Let c = l + 0.3419801. Round c to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12577, -12603, -12641, -12685, -12729, -12767?\nAnswer: -12793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v + 7. Let z(w) = -5*w**3 - w + 21. Let q(r) = -r**3 - r + 1. Let l(a) = 6*q(a) - z(a). Calculate 5*c(d) + 2*l(d).\nAnswer: -2*d**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 263 + 539. Let c = -796.11 + z. What is c rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3077294.\nAnswer: 2, 11, 137, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the third derivative of -z**6\/120 + z**5\/20 + z**4\/24 + z**3\/2 + 53*z**2. What is v(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8782)\/96602)\/(((-6)\/(-44))\/(-3)). Factor 3\/4*l**3 + 5\/4*l**4 + 0 + 1\/4*l**5 - l - 5\/4*l**s.\nAnswer: l*(l - 1)*(l + 1)**2*(l + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -789*n + 45249 - 45249 + (0 - 2 + 3)*(2*n - 5*n + 4*n) + 3*n - n + 0*n.\nAnswer: -786*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 11, a: 3}. Give prob of sequence ya.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 16775, 132697, 446921, 1058597, 2066875, 3570905, 5669837?\n\"Answer: 16525*i**3 + i**2 + 244*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8*((90\/(-21))\/(-30))\/(-2)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -2 + 37*s - 4 - 9*s - 13*s + s**2. What is f(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 776 times -37\nAnswer: -28712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of -c**5\/20 + c**4\/12 + 15*c**2\/2 + 2*c + 33. Differentiate a(b) with respect to b.\nAnswer: -3*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 312 in 3\/5, 24, 0.08?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -93812, -192149, -290488, -388829, -487172, -585517?\n\"Answer: -x**2 - 98334*x + 4523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -143 and -37485?\nAnswer: 5360355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 6 - (100 + -97)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/6 + (-348)\/(-1053). Let r = t + -4555\/2808. Calculate the common denominator of r and -51\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3316325639\/4590 - 722511. Find the common denominator of 47\/300 and y.\nAnswer: 45900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117\/8960 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 13, z: 3}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7862925107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16142 (base 12) to base 5.\nAnswer: 2000143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -37, -94, -173, -274, -397, -542?\n\"Answer: -11*t**2 - 24*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of 1\/12*a**4 + 3 - 17*a + 0*a**3 + 0*a**2. Let k(q) = q**2 + 28*q. Give k(p(x)).\nAnswer: x**4 + 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 654 - 77. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2472510.6 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kuuuuukuuuuuuuuukku. What is prob of picking 4 u?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2093 divided by -26976\nAnswer: -2093\/26976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17 + -2. What is the greatest common divisor of d and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1210 + 1206. Put 3, -1, k, -67 in increasing order.\nAnswer: -67, k, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24249 * -1.\nAnswer: 24249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/102 and -26\/57409.\nAnswer: 344454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(2057) - (sqrt(2057) + 0 + -2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**3 + 182*a - 182*a.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 370477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95 - 459*v**2 + 95.\nAnswer: -459*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -51 + (59 - 31) + 83?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9170 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -24  (b) 170.9  (c) -2\/61  (d) -2\/3  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -713179*h**2 - 321691*h**2 + 281553*h**2.\nAnswer: -753317*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 4*t = 14, -2*i - i + 5*t = -10. Sort i, -2, -1, -5 in increasing order.\nAnswer: -5, -2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 1\/403506415 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 295445626 and 7952.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 - 4*u**2 + 6*u + 7. Let x be 94*(-4)\/72 + 4\/18. Let z be t(x). Solve 0 = -4*n + 4*m - 28, -z*n = 3*n - m + 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21140 = 24*c - 4*c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4*(-230)\/120 - 4\/6. Solve 6*r - c = -37 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j**(-2\/5)\/j))**(-9\/7)*j*j**(-4)*j*j*j**(-4)*j)**(-2\/9) assuming j is positive.\nAnswer: j**(496\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 28340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 6 + 7 + 3*u - 4 to the form y*u + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.028469 rounded to 4 decimal places?\nAnswer: -0.0285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 971146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a**5*k + 5*a**5 - a**3*k + 6*a**2*k + 8*a**2 - 4*a*k wrt a?\nAnswer: -60*a**2*k + 300*a**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*r**3 - 1647*r + r**4 + 1647*r - 2*r**4.\nAnswer: -r**3*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 50, 85, 110, 125?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -154 + 96. Let v = -9521 - -9520. Which is bigger: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u + 4*u - 3*u + 10. Suppose -8*k - 14 = -4*k + 2*h, 3*h + 20 = -5*k. Let j = k + 7. Give q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 703, 1345, 1841, 2119, 2107, 1733, 925, -389?\nAnswer: -2281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -1\/14*z**4 - 31*z - 17\/21*z**3 + 0 + 6\/7*z**2. Let v(l) = 0. What is l?\nAnswer: -6, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.0065 - -0.0065637. Round l to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**2 + 2*s**2 + s**2)*(9*s**2 + 7 - 7) - 2*s**4 + 3*s**4 + 0*s**4 - s**3 + s**4 + s**3.\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1166 and 242?\nAnswer: 12826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1882?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 47 + 97. Suppose 0 = 2*a - 4*f - 110, -7*a = -34*f + 38*f - 295. Calculate the greatest common divisor of a and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 892886.5 microseconds in seconds?\nAnswer: 0.8928865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(2\/5)*b)**(-31)\/((b\/(b*b\/(((b**(1\/6)\/b)\/b)\/b)))\/(b**4*b*b)))\/(b**(-1)\/(b\/b**4*b*b)*b\/(b**2*b)*b\/(b*b*b**(6\/11)*b*b*b)) assuming b is positive.\nAnswer: b**(-19147\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fffufu. What is prob of sequence uf?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -606 + 628. Suppose k*l - 56600 = 20*l. Round l to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-7) + 300\/35. Find p such that 3*p**2 + 0 + 0 - z*p - 5 - 1 + 3*p**4 + 9*p**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67 - 43 = 25*c - 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 19?  (a) 30  (b) -0.9  (c) -2\/75  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19.905 in -14, -5, -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 75 + 10. Suppose 2*f - i = d, -5*d = -10*d + 2*f - 93. Let z = d + 20. Solve 0*l = -l + z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 32*q**3 + q**2 - 1. Let h be g(1). Suppose -2*x - 4 = -h. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*s + 13185 + 134430 = -161073. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13215 - 13278)\/((-7)\/5).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = 3*v - 29. Suppose -4*d - v = 3*b - 0*b, -2*d - 9 = b. Sort -6, 2, b in ascending order.\nAnswer: b, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-1\/4))**(-6\/13)*(x*(x\/(x**(-2\/9)\/x))\/x*x)\/(x*x**(-2)) assuming x is positive.\nAnswer: x**(853\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 1 = -4. Let d = k - -9. What is the units digit of (-2)\/4 - (-26)\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 + -52 + (-14 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + 120002111?\nAnswer: 120002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 5*x - 20 = 0, -5*w + 2*w + 32 = x. Let r(t) = -t + 5*t + 0*t - t + w. What is the tens digit of r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = 5*q + 6, 3*w - 4*w - 3*q - 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of 0 - 14*m + 1\/6*m**4 + 0*m**3 + 3*m**2. Differentiate d(h) wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4804 + 86593\/18. Suppose 5*g + 7 = 3*a + 19, -3*g + 6 = -3*a. What is the common denominator of ((-301)\/4)\/(-7) - g\/18 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 5*a + 46, 3*j = 1 + 8. What is the hundreds digit of (-1 - a) + 534 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -2*u + 76. Calculate the highest common divisor of u and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -3*v**3 - 3*v**2 - 1. Let c(g) = 201*g**3 - 45*g**2 - 2063*g - 15. Let k(r) = -c(r) + 15*n(r). What is the second derivative of k(x) wrt x?\nAnswer: -1476*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - 3*x - 2*x)*(1 + 2 + 0 - x**4).\nAnswer: 6*x**5 - 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 5)*(-177 + 177 - 21*n).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/10 - 4) + 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/5)\/((-2)\/(-5)). Let k(z) be the first derivative of -z**3\/3 + z**2\/2 + 8. Let v(b) = -8*b**2 + 4*b - 2. Let w(d) = h*v(d) - 14*k(d). Factor w(j).\nAnswer: -2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -3*x**2 - 15*x - 23. Let c(o) = 2*o**2 + 10*o + 15. Let h(k) = -7*c(k) - 5*s(k). Is h(-7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 118 and 18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 2957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 AM and 4:32 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -3*j - 2*j + 14*j - 5. Let n be a(8). Suppose n = 5*s + 22. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of f**4\/4 - 4*f**3\/3 + f**2\/2 - 3*f + 5. Let x be c(4). Put x, -1, -5 in increasing order.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 46 + -64. Let a = k + 27. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2\/11  (b) 1  (c) -0.5  (d) -880\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v - 6. Let l be w(4). Suppose 0 = -0*h + h + 3. Let i = 27 + -28. Put h, l, i in descending order.\nAnswer: l, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1718*z + 1396.\nAnswer: -1718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.64 in -1\/2, -151\/22, -4, 0.3, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q. Let h(y) = -160*y**2 + 3*y - 3. Determine -h(g) - 5*m(g).\nAnswer: 160*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-4*(-1)\/(-10)*-5)\/6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 110\/4 + 28 + -53?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 279.182 rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*s + 56 = -8*s. Suppose 459 = s*d - 486. What is the greatest common factor of d and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -315 - -310. Let g(k) be the third derivative of k**6\/120 + k**5\/10 + k**4\/12 + 7*k**3\/6 - k**2. What is the units digit of g(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-19))\/m*m*m*m\/m**(2\/25) assuming m is positive.\nAnswer: m**(548\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*r**2 - 2515595*r + 26263875 with respect to r.\nAnswer: -6*r - 2515595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 156, -7, 5, 0.\nAnswer: -7, 0, 1, 5, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (1675\/(-70) + 3\/7)\/(((-4940)\/104)\/(-95))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -3*g - 1. Let a(d) = -d - 2. Let m(w) = -4*w - 9. Let s(c) = 18*a(c) - 4*m(c). Determine 5*s(i) - 2*z(i).\nAnswer: -4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 55683329*l**3 + 460390211*l**2.\nAnswer: 334099974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -251670, -503198, -754726, -1006254, -1257782, -1509310?\nAnswer: -1760838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -7089*q**3\/5 + 2832*q**2 - 7053*q\/5 - 18\/5 = 0. What is q?\nAnswer: -6\/2363, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 2  (c) -6209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5549 from 127.\nAnswer: 5676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 - 2)*(2*y + y - 5*y + 2*y + 0*y + y + (-2 + 4 + 0)*(-1 + 1 - y)) as t*y + x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 58\/4987225 and 68\/15?\nAnswer: 14961675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 4 = 5*q, -3*q - 3*h - 1 = q. Factor 0*i**q + 2*i**2 - 8*i + 2*i**2.\nAnswer: 4*i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13.42 - 498197.\nAnswer: -498210.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-468)\/(-172692)*-123)\/(17*(-2)\/72)?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {l: 2, d: 3, g: 5, m: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/1)\/(-8)*2831\/(-149)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54721727 is divided by 18240535?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65632694 divided by 5.\nAnswer: 65632694\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 4 - -6 - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 23, 0.022, -3\/7?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of o**4\/12 + 10*o**3\/3 + 213*o**2\/2 - o - 8. Let d(w) be the first derivative of n(w). What is d(-16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 76253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/3 - ((-17845)\/903 - -20)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -b3 (base 16) in base 8?\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7370141 to the power of 1\/2, to the nearest integer?\nAnswer: 2715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -84 - -103 - (5 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 3*d - 50 = 0, 1 = s - 4*d + 8. Let a = s + -9. Suppose a*y - y = 381. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9231, 18470, 27723, 36996, 46295, 55626?\nAnswer: 64995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 22. Let i be 23\/7 - 6\/s. Is 26 a factor of 52\/i*(-3)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, n: 7, j: 2}. What is prob of picking 1 j and 1 s?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -2*y + 4*t, 0 = -6*y + 5*y - t - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-5)*m*m)**(6\/11)\/((m**(-4)*m)\/m*m)**(1\/21))**(-20) assuming m is positive.\nAnswer: m**(1460\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**5\/c*c)\/c*c)\/((c\/(c\/c**3)*c)\/c*c)*(c\/c**3*c)\/c**(2\/7))\/(c**(-5)\/(c**(-2\/5)*c))**(-42) assuming c is positive.\nAnswer: c**(-8242\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -173, -1171, -3695, -8453, -16153, -27503, -43211, -63985?\nAnswer: -90533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29\/166 - -2\/249. Let o be 35\/(-20) + (0 - -2*1). Which is the nearest to 2\/5?  (a) o  (b) u  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1470) - (4*sqrt(1470) + sqrt(1470)))\/(sqrt(6) - (sqrt(66)\/(sqrt(66)\/sqrt(6)) - sqrt(6))))**2.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -15*d + 6. Let i(k) = -41*k + 21. Let w(t) = -2*i(t) + 7*x(t). Suppose 0 = a + 3*a - 16. Let j(r) = 4 + 0*r**2 - a + r**2. Give j(w(g)).\nAnswer: 529*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 + 1. Let t be o(0). Let j(a) be the second derivative of -3*a**4\/4 - a**3\/6 + a**2\/2 - 95*a - 5. What is j(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 3*s + 2*s + 3 = 0, -3*o = 2*s - 6. Solve -r + 32 = -5*r - 4*k, o = -4*r + 2*k - 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(3) + -5 + (sqrt(147) - (sqrt(147) + -1)).\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 0, 0.12, -2\/7, -3, 6694?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is -16222 divided by -15?\nAnswer: 16222\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) 3.9  (b) -23  (c) -0.1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5\/4, -2\/115, 0.117?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10499000 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1389535 is divided by 40?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 6 = -0. Suppose -5*p = 4*w - 341, w + 116 = n*p - 75. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 AM and 3:38 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/40 and -67\/152?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 AM and 8:59 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35 - 11. Suppose -3*w = -0*w + p. Let u = w - -18. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -263  (b) -0.79  (c) 1\/5  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) + 5*(sqrt(66) + sqrt(66)*-1 + sqrt(66)) + sqrt(66)*-2*-3)\/(sqrt(24)*-2*-4).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z**3 - 14*z**2 + 8*z - 56. Let j be g(7). Suppose j = 3*s + 3*o - 615, 22*s - 17*s = 3*o + 1049. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 7  (b) -61  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 9323, 9689, 10205, 10865, 11663?\n\"Answer: -b**3 + 81*b**2 + 130*b + 9113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -42 + 37. Let z = 18 + g. Which is greater: z or -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19827 - -1 - ((-183)\/(-30) - 14\/140)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (11\/(99\/24))\/(-1*(-8)\/(-12)). Put h, -5, 4457 in increasing order.\nAnswer: -5, h, 4457","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -99\/14, -0.4, -0.2532 in ascending order.\nAnswer: -99\/14, -0.4, -0.2532, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3295692, -6591356, -9887020, -13182684, -16478348, -19774012?\n\"Answer: -3295664*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*n + 4*j = 14*n - 131, n - 2*j = 41. What is the smallest common multiple of 21 and n?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -40341*v + 457867 with respect to v.\nAnswer: -40341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -4. List the prime factors of ((-8)\/(-12))\/(d\/132).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 16, 45, 88, 151, 240, 361?\n\"Answer: z**3 + z**2 + 19*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/4)\/(-5)*3\/15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.69 + 0.68. Let t = 22 + -21.9931. Let g = t + y. Round g to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/70)\/(6\/45)*182*990\/1755.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvvd when four letters picked without replacement from {d: 15, v: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -127323570 by -4244119.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 3)*(-3*w**3 + 0*w**3 + 5*w**3) - 15*w**3 - w**3 + 6*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 - 10. Let j = -95 - -377\/4. Let o = -0.19 + 0.28. Put o, j, a in descending order.\nAnswer: a, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56353478399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 60011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 - 6*y**2 - 5. Let b be a(-6). Let i = 10 + b. Suppose -o = -i*o - 800. What is o rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(0 + sqrt(1300))**2 - (4 + sqrt(13) + -2 + 2)**2.\nAnswer: -6529 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -44, -109, -230, -425, -712, -1109, -1634?\nAnswer: -2305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -4*w - w + 4 + 0*w. Suppose 107 = 5*n + 52. Calculate the remainder when l(-3) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of q**2 + 28*q + 3*q**4 - q**2 - 47*q wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -4*v + 8*v - 1553, -3*v + 1172 = 5*i. What are the prime factors of v?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7\/(7\/6) - 3. Suppose s*i + i = 12. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3051163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -2) + -3 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, x: 6, j: 1, c: 3}. What is prob of picking 1 j and 1 c?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 384973.886 - 2390491591.886. Let z = v - -2390106588.00000033. Let w = z - -30. Round w to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + o = -12. Suppose -b + 28 = 6*b. Suppose 5*y + b = 6*y. Solve o*n = y*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -54946\/99 + 555. Let n be (-6)\/9*(-3)\/(-2). Is q less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-8)*u**(-7) assuming u is positive.\nAnswer: u**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -0.3  (c) 2  (d) 2210  (e) -0.4  (f) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, a: 9, z: 4, e: 1}. What is prob of picking 1 j and 1 e?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of u**5\/20 - 5*u**4\/12 - 17*u**3\/6 - 3*u**2 - 8*u. What is the remainder when n(8) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 66\/(-12)*(-168)\/(-231)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-4 + 7)*-4. Solve m*n = -d - d, d = 4*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 - 10*q**2 - 30*q - 20. Let k be n(-4). Let o(w) = 19*w**2. Let y be o(1). Suppose 3 = -k*r + y, j + 3*r + 468 = 0. Round j to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54312032563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and 394393?\nAnswer: -394393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/7*u**2 + 24\/7*u + 12\/7.\nAnswer: 3*(u + 2)*(3*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 52 + -49. What is the third derivative of 15*f**4 + 4*f**2 + 7*f**2 - c*f**2 + 4*f**2 wrt f?\nAnswer: 360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aat when three letters picked without replacement from osnnsnastanna?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 1666149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 19, 27, 33, 37, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of -19*a**4\/2 - 268*a**3\/3 - 216*a**2 - 2*a. What is the first derivative of n(x) wrt x?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 266, 1975, 6632, 15707, 30670, 52991?\n\"Answer: 245*y**3 + 4*y**2 - 18*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3845485982 from 4.\nAnswer: -3845485978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011101001 (base 2) to base 16.\nAnswer: 2e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36901412 is divided by 180?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 23*o**2 - o. What is the units digit of u(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3894, -0.15, -0.3, 0.184 in descending order.\nAnswer: 3894, 0.184, -0.15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of 0 + 0*s**2 - 8*s - 25\/6*s**3 + 1\/4*s**5 + 0*s**4. What is the second derivative of d(y) wrt y?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/7)\/q)**14\/(q**(6\/11)\/q**(4\/3)) assuming q is positive.\nAnswer: q**(-568\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -23*s. Let v(c) = 28*c**2. Give w(v(o)).\nAnswer: -644*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.5 + 2.9. Which is the third smallest value?  (a) 0.05  (b) v  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/102 and 71\/20?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*l - 7. Let a(w) = 56*w - 2 - 137*w + 61*w + 54*w - 1 - 38*w. Calculate a(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19303, 19304, 19307, 19306, 19295?\nAnswer: 19268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/2)\/3*12\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 69.3442 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 28*p. Let c be m(1). Suppose -5*x + x = -t - 55, 0 = -x + 5*t + c. What is the remainder when x is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 160 + -117. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 - n**2 - n - 1. Let r(p) = -20 + 58*p + 5*p**3 - 55*p + 28 - 3*p**3 - 2 + 4*p**2. Suppose 3*w = -3, 0 = 5*u - w - 14 - 7. Give u*g(d) + r(d).\nAnswer: -2*d**3 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b**2 + 4*b - 2. Let a(p) = 3*p**2 - 5*p + 2. Determine 3*a(k) + 4*r(k).\nAnswer: k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-210)\/(-350) + 4\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) -3\/7  (b) -0.11  (c) -0.2  (d) -0.3  (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 6*u**2 - 45*u + 82. Calculate f(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 91*s + 13. Determine p(-2).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 25609601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13608 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)\/sqrt(2)*-3)\/(5*sqrt(20)\/sqrt(5)) - ((sqrt(5) + (sqrt(20) + 0)**2)*6 + -5).\nAnswer: -115 - 33*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1\/3, -0.1, 1\/4, 0.5 in decreasing order.\nAnswer: 4, 0.5, 1\/3, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - (-2 + 2)) + (-20 - -111 - 60).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*q + 2 - q**4 - 3*q - q)*(1083 - 3223 - 935) as b*q**3 + n + v*q**2 + s*q + z*q**4 and give s.\nAnswer: 6150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m - 4*m + m)*(0 + 2 + 0)*(-m - 2*m + m) to r + n*m**2 + o*m and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 113230707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1676821 + 3022315 = 231*s - 386329. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(19) + -3*sqrt(684) - sqrt(19)))**2 + (2 + sqrt(304))**2 + -4 + sqrt(304) + sqrt(304) + sqrt(304).\nAnswer: 28*sqrt(19) + 24928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12*-1)\/(63264\/(-289960)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20003, 40008, 60013?\nAnswer: 80018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 208772416 + 8*m**2 - 208772416.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.04 + -0.26. Let n = 9\/200 + 2\/25. Let z = -2.35 + 0.35. What is the biggest value in b, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3 + 77*x**2 - 744*x + 1188.\nAnswer: -(x - 66)*(x - 9)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16136 (base 8) to base 5.\nAnswer: -213022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17114 + 14499 = 1283*v + 49988 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -3*x**3 - 6*x**2 - 3*x + 1. Calculate s(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 2 - 0. Suppose 0 = 4*p - 22 + n. Solve 0 = p*f + 4 + 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*m = 10*m + 8. Suppose -m*r + 5*r = 11055. Suppose -r = -6*z + z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + u. Let n = u + -1. Let g = 47\/3 + -1357\/87. Which is smaller: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {c: 7, b: 4, u: 5}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -2*z**5 - 2*z**4 + 28*z**3 + 56*z**2 - 16*z - 64 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 70438?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 233, 241, 261, 299, 361, 453, 581, 751?\n\"Answer: s**3 + s + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72) + (0 + sqrt(72) - sqrt(72)))*-1 - (1*3*sqrt(72) - sqrt(72)) - 2*-4*(-3 + sqrt(72) + 0))**2.\nAnswer: -1440*sqrt(2) + 2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oonn when four letters picked without replacement from oonenenoonzozezoqqo.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -123 + 154. What is the derivative of -8*z**4 + 82 - 7*z**4 + p*z**4 - 2*z wrt z?\nAnswer: 64*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 164 and 18081?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(-35))\/(11 - (-23)\/((-36225)\/17316))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*r + 5*r - 25*r + 49*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6.62714, 3, 2, -40 in increasing order.\nAnswer: -40, 2, 3, 6.62714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7558?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(15) + sqrt(15)*1) + sqrt(15))\/(sqrt(12)*2).\nAnswer: -7*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4651, -8607, -12563?\n\"Answer: -3956*f - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26 + 28 - 47)*(-5*l + 12*l + 6*l).\nAnswer: 91*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*3*sqrt(88))\/((sqrt(8) - -5*sqrt(8) - sqrt(8))*-5).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(40\/(-8))*2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 5. Suppose -5*r + 2*h = 0, -2*r = -3*r + b*h - 8. What is the third derivative of f**4 + 2*f**2 - 4*f**r - 2*f**4 - 2*f**2 wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**4 + 740*o**3 + 74786*o**2 + 1172160*o + 5018112 = 0 for o.\nAnswer: -176, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a + -2?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/6*(-150)\/4. Let v(l) = 38*l**2 - l - 1. Let q be v(-1). Suppose -y + x = -q. Calculate the highest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 - 1 + (-2 - 3 + 3)*(-2 + 1 - 1) + 0 + 1 - 3 + 3 - 7 - 12)*(35*w**3 - 35*w**3 - 98*w**5).\nAnswer: 1568*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of 0*q - 3*q**2 + 0*q**3 - 67\/24*q**4 - 12. Let r(u) = u**2. Determine r(l(z)).\nAnswer: 4489*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30, -66, -102, -138?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 24*k**3 + 5*k**3 - 2*k**4 - k**4 + k**4 to the form f*k**4 + r*k**2 + z + p*k**3 + l*k and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -548 + 549.2. Which is the smallest value?  (a) 0.1  (b) y  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from {m: 2, t: 2, g: 2, b: 1, i: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 9) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -6*r + 3*r. Let o(q) = 0*q**r - q**2 - 2*q**2 - 4*q + 5*q**2. What are the prime factors of o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of -16\/15*s**5 + 41*s**2 - 1\/6*s**3 + 2 + 1\/2*s**4 + 0*s. Find the second derivative of b(u) wrt u.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42, -61, -64, -45, 2, 83, 204?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 3\/5, -2\/13, 3\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6927*d - 14 = -6923*d - o, -3*d - 16 = 2*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -675 + 663 - (1 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 554*u - 21. Is i(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*q - 27 + 27 - 4*q - q + 3*q + (-3 - 1 + 5)*(0 + 0 + q) + 4*q + 0*q - 2*q)*(-66 + 68 - 126).\nAnswer: -1488*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9419777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -d - 6*g + 44, 3*g + 174 = 5*d. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -192*h + 129 - 6081 = 0. What is the second smallest value in h, -5, 0.3, 2\/9, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.9909957 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 222, 698, 1380, 2214, 3146, 4122?\nAnswer: 5088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-35 - -39)*(-3)\/(-4226). Let p = 4621\/883234 - d. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16802881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**2\/2 - 614005*o\/2 - 921030.\nAnswer: 5*(o - 122804)*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 470.32 + -469. Let x = 1.319072 - w. Round x to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -158791 and -47 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 232*n + 105*n - 96*n.\nAnswer: 241*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**2 + 0*n**2 - 2*n**2)*(2662*n + 2171*n - 1992*n).\nAnswer: -2841*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 432 and 2052.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 91, 155, 237, 343, 479, 651, 865?\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 47*t + 6 - 7*t - 4 to the form p + f*t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1002*z**4 + 630*z wrt z.\nAnswer: 12024*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -30852 divided by -3?\nAnswer: 10284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o + 4. Let c be z(4). Let v(h) = -h**3 + 6*h**2 - 8*h. Let b be (2 - (-4)\/(-6))*198\/88. Let a be v(b). Solve a*t - t - 6 = c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -43*z**6\/90 - 29*z**3\/3 - 6*z + 4. Let x(a) be the second derivative of i(a). Let h(t) = -2*t. Determine x(h(o)).\nAnswer: -688*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 141986 and 3913.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (20\/(-8) - -3)*48. What is the greatest common divisor of o and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2221.745 + 26.255. What is the third smallest value in 0.4, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -11544*t + 69259. Calculate b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14946 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -6*l**2 - 3*l**3 + 5*l**2 + 2*l - 3*l + 3*l. What is the units digit of m(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10888929 divided by 1209881.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -43 - -47.68. Let k = -5.18 + j. Which is the second biggest value?  (a) k  (b) 0.3  (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 139552341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5446607 + 5446607 - 57*n**2.\nAnswer: -57*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 4*h**2 - 3*h + 21. Let o be b(6). Let y = -68 - o. Let u = y + 212. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 7*h - 26. Suppose h*b - 450 = -5*r, 4*r - 217 = -3*b + 121. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) + -1*sqrt(1053))*6*-2 - ((2 + sqrt(637))**2 + sqrt(637) - (-3 + sqrt(117))**2).\nAnswer: -515 - 53*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of -u**6\/360 + u**5\/120 + u**4\/8 - 17*u**3\/3 + 13. Let b(n) be the third derivative of a(n). Give b(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -60, -141, -264, -435, -660, -945?\n\"Answer: -k**3 - 15*k**2 - 29*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 8 - 22 = 0. Let y(k) = -k**2 - 5*k + 8. Calculate y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 9 = -5*h + 5*g, -4*h = 5*g - 17. Suppose 0 = 6*f - h*f - 162. Suppose -4*v = -5*v + f. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -79*(-1 + -2)*(-12)\/(-18) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**3 - 14*t**2 - 73*t - 115. Let x be l(13). What is the highest common divisor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -402044337.43029928 + 402044670.9. Let v = w - 333.3197. Let d = v + -0.15. Round d to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 - 8. Suppose 0 = -3*x - 6, 0 = 4*f + o*x - 21 + 5. Calculate the smallest common multiple of 11 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 + (-88)\/65 - 42\/(-273). Suppose 41*t + 17 = 40*t + 4*v, 3*v - 12 = 0. What is the fourth smallest value in -3, t, 9, w?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, -22, -6, 5, -1, -5 in ascending order.\nAnswer: -22, -15, -6, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/599, 12\/5, 1, -1.\nAnswer: -1, 3\/599, 1, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 - -9. Let g(i) = 1. Let d(m) = -2*m**2 + 7*m - 11. Let b(v) = -d(v) - 5*g(v). Let q be b(4). What is the highest common divisor of f and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 552 + -532. What is the greatest common divisor of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 21 - 121. Let g = 22 + f. Does 13 divide 130\/20*(-1 - g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of -v**4\/2 - 2*v + 23. Let q(f) = 9*f**2. Give b(q(t)).\nAnswer: -486*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 92 and 37292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -18599 and 2454711?\nAnswer: 2473310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f - f - 5*l + 865, 5*f - 1094 = -2*l. What is the common denominator of 69\/(-2484)*f\/6 and 149\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 10 - 612*r - 13 - 448*r.\nAnswer: -1060*r - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 4*f + f. Suppose -5*y - 17 = -c, -y = -5*c - 15 + 4. Let b(p) = -4*p - 8. Let q be b(-2). Put f, c, q in decreasing order.\nAnswer: f, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 14 = 3*g, 2*t = -0*t + 2*g + 16. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 303*j - 111*j**2 + j**2 - 25*j**2.\nAnswer: -135*j**2 + 303*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*b**3 - 2012*b**2 - 8354*b.\nAnswer: 18*b - 4024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -482 + 492. Calculate the highest common factor of 310 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of -1\/4*r**4 + 2\/3*r**3 + 3 + 3*r + 2*r**2. What are the prime factors of y(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -61176 by -3.\nAnswer: 20392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 AM and 10:34 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvvvvvvvvvvvzv. Give prob of picking 4 v.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28 + 28.2. Let z = 56 + -54.3. Let n = z - 1.2. Put n, j, 1\/9 in descending order.\nAnswer: n, j, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -862300466 less than -0.02?\nAnswer: 862300465.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2436, 19\/10, 9.6?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 2*v - 3)*(-3 + 1 + 0) - 3*v - v + v - v + 49*v - 7*v as k + f*v and give f.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 - 5*s - 4. Let x be m(6). Let r be (0 - (0 + 0))\/1. Suppose -4 = -2*c - 0*c. Solve r*z - w = 3*z + 10, 0 = x*z - c*w + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1ef2f8 - -1?\nAnswer: 1ef2f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6465610\/759492 + (-17)\/2.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-96435)\/((-35 - -21) + 11)?\nAnswer: 3, 5, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 779*t*x - 2292593*t - 2576*x - 2 wrt x?\nAnswer: 779*t - 2576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from cjpfgjn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, 6, -3, -2, 21767.93.\nAnswer: -3, -2, -3\/7, 6, 21767.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -406064 divided by 4?\nAnswer: -101516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.014 - -0.284. Let x = 1.28 - 1. Let o = x + z. What is o rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 AM and 5:52 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 90 and 298710.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.3 - 0.4. Let y = -1 - 0. Let q = y + n. What is the closest to q in 4, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(540)\/(sqrt(30)\/sqrt(3)*6))\/(((-1*sqrt(200) + sqrt(200) - sqrt(200) - sqrt(200))\/sqrt(10))\/sqrt(10)*4).\nAnswer: -sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 252*w**2 - 130*w**2 - 122*w**2 - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 50*q**2 + q - 3. Let v be j(-2). Let w be (v\/(-9))\/(-5) - 5\/15. Suppose -58 = -t + w. What is the highest common factor of t and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7608 + 33070. List the prime factors of r.\nAnswer: 2, 29, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-398)\/(-2) + (2 - 3). Calculate the greatest common divisor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.3 and 0.4?\nAnswer: -2.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -87 + 0.23?\nAnswer: -86.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 AM and 9:53 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33171 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -14422*l + 2192160. What is u(152)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 2 = i - 4, 3*h = -12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + 11 - (-5 - (-4 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -599 = -78*l - 677 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 8636887.\nAnswer: -43184435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/40)\/((6\/120)\/(60\/(-50))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from zgxyfxfzixff.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35561977*t + 3*t**2 - t**2 + 35561977*t - 3*t**2 + 32*t**3.\nAnswer: 32*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w = 7*w - 39. Suppose -w = -3*x + 2*p - 9, 3*x + p = 3. Solve x*f + 10 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 - -13 - ((0 - -4) + 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21.48 - 21.48029282. What is w rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48885 is divided by 24395.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/((-161)\/(-4)))\/(((-72)\/(-14))\/(-18)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -18.771 - -1\nAnswer: -17.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 5032?\nAnswer: 45288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-14)*f*f*f**(-18) assuming f is positive.\nAnswer: f**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 9204063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -58, 117, -41, 2, -2 in decreasing order.\nAnswer: 117, 2, -2, -41, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 3*u**2 - 219*u - 222 = 0.\nAnswer: -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2218915652.\nAnswer: 2, 229, 887, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2\/5 + 30282*g - 302812\/5.\nAnswer: -2*(g - 75703)*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.658634 rounded to 2 dps?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22654 and 82904?\nAnswer: 3896488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*v**6 - 2*v**5 + 2805*v**4 - 41781*v**2.\nAnswer: 240*v**3 - 120*v**2 + 67320*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1333170595 - 1333170364.0000422. Let g = 231 - f. What is g rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-178 + 168 - 183 - 272)*(-2*t**3 + 6*t**3 - 2*t**3) in the form y + p*t**2 + w*t**3 + l*t and give w.\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 715538 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 427 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 186 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - (-75)\/65 - (6840\/858 + -8). What is the fifth biggest value in 0.4, 3\/4, 2\/13, x, 96?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from {d: 2, c: 1, m: 2, x: 9}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 61\/244 - 1\/(-44). Are -1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38 = 9*u - b - 5, 4*u = -2*b + 6*b + b + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.366632 nanograms to kilograms.\nAnswer: 0.000000000008366632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 117\/43 - -2165\/516. Calculate the common denominator of -67\/1023 and k.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 1 = 3. Suppose -8*z - r = -26. What is the remainder when 3 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of 3*s**5\/20 - 5*s**4\/4 + 81*s**2 + 36*s. Find the first derivative of c(n) wrt n.\nAnswer: 9*n**2 - 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 53*t - 51*t - 1270. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/784)\/((-1)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29895 - 26064. Calculate the greatest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 387*x**3 - 1387*x**3 + 16265*x**3.\nAnswer: 15265*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 greater than 73\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -v. Let y = 3 - v. Suppose 24 = z - 2*j, -y*j + 88 = 3*z - 2. Calculate the greatest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 2*s = 6, -2*i + s - 2*s = 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13*n**5 + 3*n**5 - 4*n**5 + (-n**4 + n**4 + n**4)*(-14 - 5*n + 14) - n**5 - 2*n**5 + 4*n**5 + 3*n**5 - 4*n**5 - 2*n**5.\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4937, 10034, 15133, 20234, 25337, 30442?\n\"Answer: m**2 + 5094*m - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 42*x**3 + 87*x**2 - 167*x + 80. Give q(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-308)\/770 + (4\/3 - (-14)\/(-15)). Is r smaller than 6\/10459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1811)\/456372)\/((-2)\/392)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8079*w**3 + 8118*w**3 - 16196*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -10*s**2 + 29925448*s + 35910552 = 0.\nAnswer: -6\/5, 2992546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 - 8*k**2 - 17*k - 75. Calculate g(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1668278 (base 9) to base 15.\nAnswer: 135d7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*b + 148 = 94 - 133 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*g - 18 - 4. Suppose g*z - 4434 = -z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*h + 0 + 7\/2*h**2 - 3\/2*h**3 = 0. Calculate h.\nAnswer: 0, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 230 (base 7) to base 4\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -1. Let f be (24*1)\/(6\/9). Let r = 54 - f. Solve 4*y = p - 12 + 4, -r = n*p + 2*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.5 + 4.1. Which is the nearest to 0.3?  (a) 0  (b) -4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*w**4 - 22*w**4 - w - w**2 + 19*w**3 - 23*w**4 + 62*w**4 as q*w**4 + p*w**2 + r*w + l + z*w**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -g + 94*w - 505, 0 = 6*g - 24*w + 29*w + 185 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - 7.84. Let r = 2443 - 1669. Let g = r + -773.8. Which is the smallest value?  (a) g  (b) q  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - -0.6020656.\nAnswer: -4.3979344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 263*m + 1584. Let z be h(-6). Solve 0 = z*k + 15*k - 105 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84900567?\nAnswer: 3, 17, 23, 72379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 143 + -10 + -165 + (149 - -1)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -12, 0.16, -2\/11, -22, 0, -10?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 4*3\/(-2)*(-2 - 15)\/34\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 PM and 2:28 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-20)\/(-25))\/(4\/130). Suppose i = 4*d + 6. Suppose 25 = 2*n - 5*y, d*n - 4*y - 20 = 17. Is n bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 2*g - 1306, 9*g - 8*g = -3*c + 1969. Let a = 1071 - c. List the prime factors of a.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2 + 2*v - 2. Let u(y) = 7*y**2 - 4*y + 13. Let z(p) = -14 - 2*p - 17 + 3*p**2 + 37. Let x(a) = -4*u(a) + 9*z(a). Calculate 4*w(s) + 3*x(s).\nAnswer: s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1525*o**3*u**3*w + o**3*u**2*w + 2*o**3*u + 296*o**2*u*w + 4*o*u**3*w - 4*o*u**2*w - 2*u**2*w wrt u.\nAnswer: 9150*o**3*w + 24*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 10*u**2. Let h(r) = 4586299*r. Calculate h(c(t)).\nAnswer: 45862990*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (9\/4)\/(3\/2). Which is bigger: p or 1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 1:43 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 647*w**4 + w**2 - 14*w + 300. Let h(g) = g**4 + 2*g + 2. Let s(j) = f(j) + 5*h(j). Find the second derivative of s(t) wrt t.\nAnswer: 7824*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -47 + 46.71. Let a = 0.09 + r. Suppose -2*y + 45 = -5*o, -3*o + 35 = y + 4*y. Is a equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-120)\/216)\/(26*11\/429)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 15885, 16832, 17779, 18726, 19673, 20620?\n\"Answer: 947*i + 14938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = -20 - 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125 = 21*l - 106. What is the remainder when 19 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*c + 2*m, 5*c - 2*m + 8 + 3 = 0. Let t = 129 - 56. Let n = t + -75. What is the smallest value in -2\/23, 2\/15, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 4:45 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 142*a - 762. What is the hundreds digit of r(131)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8243*h + 23*h**2 + 13*h**5 - 48*h**2 + 705*h**3 + 11*h**2 - 9*h**5 + 16*h**2 wrt h?\nAnswer: 80*h**3 + 4230*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (11 - 9 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*s)*(73*s**2 - 73*s**2 - 24*s**4 + (0*s**3 + 2*s**3 - 4*s**3)*(0*s + s - 2*s)).\nAnswer: 44*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3907 - 327?\nAnswer: 3580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 4*k**3\/9 - 16240*k**2\/9 - 14464*k = 0.\nAnswer: -8, 0, 4068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + -1.2. Let a = -170750\/7 - -24393. What is the second biggest value in a, i, -4, -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62 - 59 + 17)*(-3*o - 2*o + 4*o).\nAnswer: 104*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-36)\/45*5\/(-2). Solve b*g + 12 = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 4*c - 4 = -0*q, 3*c + 7 = -4*q. Let f be 3\/((2\/q)\/(-1)). Suppose 0 = f*v - 2*v - 48. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 5:14 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42 - -78. Suppose 4*t - l - 20 = 0. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -3. Suppose -f + 1 = -c. Solve -4*k + 0*k - c = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**3)**13 assuming n is positive.\nAnswer: n**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000272693 to 6 decimal places.\nAnswer: 0.000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) 0.06  (c) -8.4  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 651111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1610203624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/21)\/((-36)\/(-882)). Let m(d) = -2*d - 8. What is m(s)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llylyyyyyllyll. What is prob of picking 4 l?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*n**4 - 2*n**4 - 7*n**4)*(4 - 4 + 1).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n**(-6)*n*n*n))\/n*n**(-5)*((n\/(n*(n**(2\/7)*n)\/n*n))\/n)**(6\/5) assuming n is positive.\nAnswer: n**(-166\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 - 8*n**2 + 56*n - 159. Let w be q(4). What is the third biggest value in w, -18\/13, -4\/5?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 750, 5, -1, 89, 3 in increasing order.\nAnswer: -1, 3, 5, 89, 750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 25 = 0, -22 - 3 = t + 5*g. Suppose t*s + 1 = s. Is 22*s\/2 - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60406 is divided by 180.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j. Let c(x) = 5*x + 1687. Calculate c(a(h)).\nAnswer: -10*h + 1687","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 PM and 4:28 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/30 + (-282)\/(-5). Let k(f) = -f**2 + 6*f - 6. Let p be k(4). Suppose 6*m - 28 = p*m. Calculate the highest common factor of u and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*6*(sqrt(17) + (-1*(sqrt(17) + 0))**2).\nAnswer: -510 - 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 357400076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.54 - -0.54681. Let w = 70.994 + -71. Let l = n + w. Round l to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + j**2 - 1. Let r(w) = -29532*w**2 + 4*w**3 + 59064*w**2 - 29527*w**2 + 20. What is 5*m(x) - r(x)?\nAnswer: x**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -558 and -0.49.\nAnswer: 273.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) 0.5  (b) -3.78  (c) 1.1  (d) 5  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + 1010?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01378677651 to six decimal places.\nAnswer: -0.013787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*1311\/7980*40?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/56 - (-1)\/(-2) and -113\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.69  (b) 1.7  (c) -5  (d) -17\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from espkekespkees. Give prob of picking 1 e and 1 p.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00092765167 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) -0.4  (c) 27  (d) -1\/6  (e) -1  (f) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 273*j**5 - 3*j**4*y**3 + j**2*y**3 - 2*j**2 + 5*y**3 wrt j.\nAnswer: 16380*j**2 - 72*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 12, r: 6}. What is prob of picking 2 n and 2 r?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 96.1 plus -6.1?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/1674 and -9\/12896.\nAnswer: 348192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 48, 105, 150, 177, 180, 153, 90, -15?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 3*k - 35, y + 3*k = 6*y + 110. Is -5*(-5)\/y*61*-2 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 473 in -4, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 75330 by -25110.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105649 is divided by 137.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccscsmgmjbgbcg. What is prob of picking 1 j, 1 g, and 2 m?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 3171*q - 40. List the prime factors of y(3).\nAnswer: 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 90479 and 213.\nAnswer: 90692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 0 - -2) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -400 - -401. Let k(m) = -2*m**3 + 4*m - 5. Let u(t) = -t**3 + t - 1. Let n(v) = k(v) - 5*u(v). Give n(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 5 + 101*f - 100*f - 174*f**3)*(3 - 3 - 9)*(3 - 5 + 0) to c*f + p + n*f**3 + l*f**2 and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -187*x + 369. Give w(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i**(-4\/7))*i*(i\/(i*i\/((i\/i**1)\/i)))\/i)\/((i**(7\/2)*i*i)\/(i\/i**(6\/7)*i*i)))**(-5\/3) assuming i is positive.\nAnswer: i**(335\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, x: 4, e: 1, a: 4, f: 3, y: 2}. Give prob of sequence fx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 807  (b) 1042  (c) 0.1  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 - 12*a**2 + 12*a + 11. What is t(11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 PM and 6:38 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 927 - 11117\/12. Calculate the common denominator of a and 39\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7013\/6 + -1153. What is the common denominator of 97\/14 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 + -1 + (-167 - -206)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 159798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 - 5)*(-d + 0*d + 7*d)*(-d - 4*d + 4*d)*(0*d - d + 2*d)*(-4*d + 4*d + 2*d**2).\nAnswer: 132*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x - 1335*x**4 + 10*x**3 + 11*x**2 - 4*x**2 + 1338*x**4 - x to the form r*x**2 + f*x + z + y*x**4 + i*x**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -3*d**2 - 5*d + 22. Let i be k(-3). Solve -r + 17 = 3*f, r - i = -5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - -2. Suppose -4 + 3 = -5*x + 2*n, 0 = -o*n - 9. Let l = -5.8 + 3.8. Which is the second biggest value?  (a) -0.3  (b) l  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 3*x + 71. Let a be g(-25). Suppose 5*m - 8 = m. Put -3, a, m in increasing order.\nAnswer: a, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 190 = -p + 11*i + 347, p - 3*i - 45 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 31\/5 of a microgram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/((-264)\/(-30)))\/((-2)\/(-8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v**2 - 3*v - 1. Let l(u) = 8*u**2 - 14*u + 160. Let b(m) = l(m) - 6*o(m). What is the derivative of b(j) wrt j?\nAnswer: -8*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -3*q + 15. Suppose q*c - 1292 - 778 = 0. Suppose 0 = 6*r - 1494 + c. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.0937, 12, 1.1, 1\/6, -3 in ascending order.\nAnswer: -3, 0.0937, 1\/6, 1.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/(6\/(-4)))\/((-40)\/12). Which is the nearest to -1?  (a) -1\/3  (b) f  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1249 minus -11.7901?\nAnswer: -1237.2099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -31.735558 to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76655961 = 239*g - 326*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*y**2 + 13647825*y + 138293786 wrt y.\nAnswer: -8*y + 13647825","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-7)*r*r*r**17\/r)\/(r*r**(1\/3))**0 assuming r is positive.\nAnswer: r**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 101 = 104, 0 = m + 5*a - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1039?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1, 403, -1.4, -1, -0.5, -11\/4, 1.47?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -2*a. Put 3, -2, a in ascending order.\nAnswer: -2, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -18  (c) 1057  (d) 1  (e) 4  (f) -2\/3  (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of -v**8\/2520 - 2*v**7\/1575 + v**6\/900 + v**5\/225 - 301*v**2. Suppose c(b) = 0. What is b?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 2 = -6. Let a be 1 + 1 + v\/(-2). Suppose -o - 2*u + 0*u = -11, -3*o - 4*u + 23 = a. Calculate the lowest common multiple of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hjwlllhlx. What is prob of sequence wjll?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-5))\/k)\/k**(-33) assuming k is positive.\nAnswer: k**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 + 11*m**2 + 8*m - 15. Let a = -74 + -173. Let n = a + 237. What is o(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 4*a**2 + 7*a**2 + 2 - 5*a + 5 + 0. Let q be f(3). Suppose -l = -q + 10. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 676\/234 + (-1)\/(-9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*s - 406 = -64 - 125 + 1175 for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -13291+0.9\nAnswer: -13290.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 387216174.\nAnswer: 2, 3, 17, 37, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 45201530000 rounded to the nearest 1000000?\nAnswer: 45202000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*w + 91*w + 6 = 0. Let i be 9\/(-27)*(-3)\/w. Which is the closest to 1?  (a) 2\/7  (b) -0.26  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001036233 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-490)\/1764*(24\/10)\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 33\/12 + 52\/(-13). What is the third smallest value in u, -1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 - 3)*(2*j**2 - 2*j**2 + 3*j**3).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 34083209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 4*o, 5*z = 2*z - 2*o. Suppose -4*v - 3*w = -226, -2*v + z*w = -4*w - 124. Let r = v - 47. Calculate the greatest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119) - (sqrt(119) + (sqrt(119)*-2*-1 - sqrt(119))) - sqrt(119))\/(sqrt(343)*2) + -3 + 1.\nAnswer: -2 - sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 + (28 - 78) - ((1 - 1) + -73).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 146968413 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/((-650)\/175)*8\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.4 and 107792.\nAnswer: 107791.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1747710 (base 9) to base 7\nAnswer: 11205354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23959, -23707, -23455, -23203, -22951?\nAnswer: -22699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -120*g**5*p - g**4*p + 293*g + 13*p wrt g?\nAnswer: -2400*g**3*p - 12*g**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of 62*a**3\/3 + a**2\/2 + 3. Suppose -5*w - 6 = -1. Does 33 divide p(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2270717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 + (-47 - -21) - -28?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 1012*v - 21196. Calculate n(21).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ubutuynqyytttyubbt. Give prob of sequence qyu.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 34 = 3*k + 5*t, -5*t + 19 = -2*k. Solve -y = k*j - 2 + 6, 0 = 4*j + 5*y + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u - 4*u**3 + 3*u - u - u**2 + 1 to the form z*u + r*u**2 + w*u**3 + d and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -46 - -50. Suppose -4*w - 16 = -h - d, 0 = -2*h - 3*w - 9. Suppose 31*j - 34*j + 9417 = h. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/((-1)\/(-4)*2). Let h be 3 - -29 - (0 + b). Let p = -19 + h. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -r**6 + 30734*r**3 - 5470*r**2?\nAnswer: -120*r**3 + 184404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3515348 (base 10) in base 4?\nAnswer: -31122033110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -119201*i**3*j**2 + 88534*i**3 - 66*i**2*j**2*m**3 + 31*i*j*m**3 wrt j?\nAnswer: -238402*i**3 - 132*i**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*u**2 - 3492*u + 1400 = 0 for u.\nAnswer: -175, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9.328 - 9.8. What is x rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6500980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 27\/6*1*(-8)\/(-12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*r = 22*r - 628 - 147 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1891489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = -3*k - 22, -14*v + 5*k = -53 - 53 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 - 28*w + 67. Let z be 105\/(0 - 5) + 0. What is the units digit of t(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lw when two letters picked without replacement from wlllwlllwwllllllllw?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-5) + (-22)\/(-10). Suppose -3*o = -s - 1. Solve 6 = -x + o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -3237749\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1298 + 1299. Let q = -1 - 1. What is the nearest to -0.1 in 0.2, z, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2 = 8. Solve f*u - 13 + 5 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2494*j - 29941. What is q(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 402 divide 358584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + 1 + 5 - 2. Suppose l*k = 3*q - 15, -4*q = 2*k - 21 - 29. What are the prime factors of (-1 + q)*(-1)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -5*f, 2*f = 7*x - 12*x + 140. Calculate the greatest common factor of x and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59163814 bigger than 59163811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -15*i**3. Let y(n) = 21*n**3 + 16*n - 8. Let d(t) = -14*t**3 - 10*t + 5. Let u(s) = 8*d(s) + 5*y(s). Let c(a) = -3*f(a) + 7*u(a). Factor c(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109 is divided by 88?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of -129*g**5\/5 - 3*g**4\/4 + 191*g**3\/3 - 177. What is the third derivative of u(l) wrt l?\nAnswer: -3096*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -75*u + 1. Let x(g) = 144*g. Determine x(m(p)).\nAnswer: -10800*p + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - -1300?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -274.07 - -5.07. Let o = 271.57 + c. What is o rounded to one decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3474 and 1440.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 187312187957 + -0.1\nAnswer: 187312187956.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b\/b**(-8\/11)*b)\/b))\/b)**17 assuming b is positive.\nAnswer: b**(-323\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 + 1 - 1)*((-2 + 3 - 2)*(2 - 5 + 32) + 3 - 6 + 4)*(5 + 3*f - 4*f - 3).\nAnswer: 56*f**3 - 112*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/45*(-15)\/(-24)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of 0*z**2 - 14\/3*z**3 + 0*z**4 + 0*z**5 - 47\/6*z**6 + 32 + 0*z. Find the third derivative of l(o) wrt o.\nAnswer: -2820*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (4 - ((-4 - -18) + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**2 + b**2 - b**2)*(0 + 0 - 2*b + (28 + 0 - 53)*(46*b + 45*b + 25*b)).\nAnswer: -2902*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbmmmlmblmbmbbbc. Give prob of picking 2 l and 1 c.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32.96 - 33. Sort 2, i, -0.3, -5 in increasing order.\nAnswer: -5, -0.3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 6 = h, -3*h - 2*h + 17 = -2*x. Suppose -h*u + 5*f - 35 = 0, -47 = 3*u + 2*f - f. Let t be 8404 - (-5)\/(u\/12). Round t to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 6617.154 minutes?\nAnswer: 397029240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6197 divided by -4.\nAnswer: -6197\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0069037942 rounded to 6 dps?\nAnswer: -0.006904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, s: 8, l: 2, c: 5, m: 1}. Give prob of sequence lycm.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*p**3 + 7*p**3 + 16*p**3 - 42*p**3 + 5*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44 - 3*t - 16 + 2*t + 11*t + 18 - 9*t.\nAnswer: t + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - 3)\/((-3)\/7). Let a = n + 7. Solve 3*g + 4*b + 1 = a, 2*g + 3*b = 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/k**(-4))\/(k**(-2\/3)\/k))**(1\/15))**(-2\/7) assuming k is positive.\nAnswer: k**(-8\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112*i + 378 = -106*i. Is i - ((-2)\/3 - (-24)\/36) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kz when two letters picked without replacement from kppppkkzkkkzkkp?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 173398966.1 rounded to the nearest 1000000?\nAnswer: 173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**3 - 2*m**2 - 6*m + 1. Suppose -3*h + 9 = 0, 3*h = 4*i - 2*i + 21. Let a be (3\/i)\/((-1)\/8). What is the remainder when x(a) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 10  (b) -0.4  (c) 1\/2  (d) 3  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 4*h)*(-36 + 7 - 1)*(-38*h + 17*h + 23*h).\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 5*k - 4 = 0, 3*f - 5*k = -f + 3. Let n be (f - -4)*(-2)\/(-4). Which is greater: n or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 - 4*r**2 - 5*r. Let v be x(5). Let g be (1 - -1)\/(-37 - -29)*-4. Solve 2*c - 3*c + g = v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 370*y = 91*y - 456*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 2944 + 5408. List the prime factors of g.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 + 7*a**2 - 10*a - 10. Let q be f(-8). Let b(z) = -z**2 + 3*z + 138. What is the remainder when b(10) is divided by (q\/6)\/(1\/23)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 35659890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -338 + 145. Let k = -182 - d. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*i + 112 = 8*i. Let f(w) = w**3 + 7*w**2 - 2*w + 44. Let k be f(i). Let m be -7 - 12\/k - 9*33444. What is m rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 8*h - 12. Let p be m(5). Suppose -4*l = -3*j + 198, -2*l - 365 = -5*j - 7*l. What is the greatest common divisor of j and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7\/3 in -0.3, -1\/846, -19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 8*j**3 - 4*j - 5. Let o(c) = -7*c - 5*c - 8*c + 17*c**3 - 10*c**3 - 4 + 17*c. Calculate 4*o(l) - 3*w(l).\nAnswer: 4*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/(-88))\/(270\/891).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 61 - 59. Let o(u) = 6*u - 2. Give o(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*f + 3*f - f)*(3*f - 2*f + 0*f)*(-4*f + 4*f - 4*f**2) - 7*f**4 + 1 - 1 as o*f**4 + x*f**2 + i + q*f + t*f**3 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 7*t**2 + 7*t + 6. Let b be a(-4). Suppose -2*u + 4*q = -25 + 1, -3*u - 4*q + b = 0. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 - n - 1. Let d be g(-2). Suppose -d*v = -19 - 11. Let u = v + -3. Solve -23 = 5*a + i - 4*i, -u*i + 15 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16 - -27. Let d = -5 + v. Suppose -d*y - 3 + 117 = 0. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + (-32)\/(-28) + 45\/(-21). Suppose 3*x + g + 14 = -1, -3*x + g = 15. Sort x, r, -4.\nAnswer: x, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 + 4*j**2 + 3*j + 1. Let d(c) = -c**3 + c. Let t(v) = 2*d(v) - z(v). Let i = -8 + 5. What is t(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4794 + 3607 - 2*h + h - h.\nAnswer: -2*h - 1187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 54870734 = 54870738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) 60  (c) -0.3  (d) -2  (e) -14213  (f) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of b*c**2*g**3 + 4*b*c*t + 23*b*g**2 - 5*c**2*g**3 - 2*c**2*g**2 - 12*g**2*t wrt b?\nAnswer: c**2*g**3 + 4*c*t + 23*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*v - 140 = 5*c, 3*v + 705 = 5*c + 845 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12 + 0*(-8 + (-4 - 50\/(-4))). Solve -2*d = n - 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*c - c - 35. Suppose -4*g - 5 = c. Is -1 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 11*o - 55. Let z be y(5). Let k(h) = h**3 - h**2 - 4*h - 3. Let t be k(z). Let d be ((-4)\/8)\/(1\/12). Which is bigger: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 6*c - 34. Let u = -183 + 189. Let t be j(u). Put 5, -5, -77, t in decreasing order.\nAnswer: 5, t, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*r**2 - 4*r**2 - r**2)*(-292*r - 93*r + 1021*r - 2) to the form d + s*r**2 + m*r**3 + p*r and give m.\nAnswer: -1908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 3 = r, 0 = -4*r - 2*i + 18 - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -3*z + 5*z - 76, 4*z + 3*p - 147 = 0. Let m = z + -20. Let a(s) = -3*s**3 + 3*s**2 + 4*s + 2. What is the remainder when a(-2) is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 10:28 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6470211 is divided by 4775?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 33 + -12212012001?\nAnswer: -12212011302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 491*h**2 + 364*h**2 + 441*h**2 + 503*h**2 - 2189*h**2.\nAnswer: -390*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of -9*x + 0 + 1\/2*x**4 + 0*x**3 + 3\/20*x**5 + 0*x**2. Factor j(q).\nAnswer: 3*q**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/1134 and 137\/5994.\nAnswer: 41958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 131 + -21. Calculate the greatest common factor of 979 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 - 8*h + 2. Suppose 4*w - 62 = 2*j, -5*w = 2*j - 66 - 16. Calculate the remainder when w is divided by y(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of 0*s**2 + s**2 + 11 - 2*s**2. Let a(q) = 4*q. What is n(a(l))?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, f: 2, g: 2, l: 2}. What is prob of picking 1 g and 1 l?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35925*c - 106307*c + 35481*c + 35584*c.\nAnswer: 683*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3440 is divided by 1146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -3*n + 33, 34 = 2*f + 3*n - 5*n. Let d(w) = 3*w**2 - 17*w - 58. What are the prime factors of d(f)?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 21 - 63 = 0. Let a(o) = -17 + 7 + 5*o**2 + 41*o - 53*o. Let h(l) = -3*l**2 + 6*l + 5. Let x(p) = r*h(p) - 4*a(p). Give x(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -17*v + 28*v. Factor -67*p**2 + 2*p**4 + 47*p**2 + 60*p**v - 47*p**4.\nAnswer: -5*p**2*(3*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 988 and 5538?\nAnswer: 210444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 4*o - 3*f, -5*o + 4*f + 41 = 11. Let s be -6 + 10\/o + -7. Put -1, -7, s in descending order.\nAnswer: -1, -7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 3*r - 4. Let l(v) = 10*v - 12. Let j(h) = 7*k(h) - 2*l(h). Let g be j(6). Suppose -2*y = -3 + 1. Solve u + g + y = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -4) + -8 - (-13 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t + 6*s + 44, 9188*t - 9183*t = 4*s + 27 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*a*z**4 - 6*a*z**3 + 5*a*z**2 + 5*z**4 - 9*z**3 + 16 wrt z?\nAnswer: -48*a*z - 36*a + 120*z - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 400.2937ml in litres?\nAnswer: 0.4002937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -27098, -4, -1, 2 in increasing order.\nAnswer: -27098, -4, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 7, -9\/4, -2.1, -5, -2\/87, -0.19?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 8 = 6*l, 149 - 162 = -3*l + 5*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.05?  (a) -2\/13  (b) -1\/5  (c) -15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((35\/7)\/(-60))\/((-6)\/(-24)) + (-140)\/(-150). Find p such that -96\/5 - 42\/5*p + 51\/5*p**2 - b*p**3 = 0.\nAnswer: -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20042 - 337005881.\nAnswer: -336985839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 8*w + 675 = 0. Let z = 10 - -5. What is the greatest common factor of z and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 3684?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 6*d**4 - 5*d**3 - 6*d**2 - 8*d + 2. Let u(t) = t**4 - t**3 + 1. Let o be 10\/(-5)*(1 - 0). Let v(f) = o*l(f) + 10*u(f). Solve v(g) = 0 for g.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1240.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -330*j**3 - 6*j**4 - 20*j + 796*j**3 - 2*j**5 - 444*j**3 + 6*j**2 = 0.\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -1 + 6 - 5 - o. Let c(p) = -p**2. What is c(r(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -100, 1, 156?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12425.\nAnswer: 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 447110464?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y**3 + 5*y**2 + 4*y + 5. What are the prime factors of w(-4)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 4459*p + 1289. Let z(o) = 1488*o + 430. Let h(i) = 4*d(i) - 11*z(i). Differentiate h(t) wrt t.\nAnswer: 1468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 24 = -6. Suppose 0 = b - 4*y - 9, -14 = -c*b - 4*y + 13. Calculate the remainder when b is divided by 9 + (-1)\/1 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -38. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 2 + x**3 - 8*x + 47*x**2 - 58*x**2 + 11. List the prime factors of o(12).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -296*f**3 + 585*f**3 - 273*f**3 + 15*f**2 - 12*f**2 - 3*f**2.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120*g = -132*g - 84 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 12*h. Let r(s) = 143*s + 396. Let x(p) = 11*p + 30. Let n(d) = 5*r(d) - 66*x(d). What is 3*f(k) + 4*n(k)?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1415203 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 300396 - 300340.0054. Let b = l + -56. Round b to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 29*i + 19. Let j(n) = -178*n - 114. Determine -2*j(d) - 13*p(d).\nAnswer: -21*d - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**2 + n**2 + 0*n**2 + (n - 5 + 5 - 4*n + 0*n + 3*n + (4 - 7 + 1)*(-2 + 2 + n))*(0*n + 0*n + n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-21)\/45*432\/(-336)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -3*m + 488 + 92, -4*m = 0. Suppose -30*f + 333 + 179 - 152 = 0. Calculate the highest common factor of f and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 2*g - 992, 4*g = 5 + 3. Let v = k + -210. Solve 5*d - v = o - 10, 2 = -o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/1)\/(33*29\/27753).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 230392.28 rounded to the nearest one thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 938 and 2050.\nAnswer: 961450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17754 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - 15 - -15) + -4 + 3 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*c + 159 = -457 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1188067087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-5)\/3)\/((-1)\/(-3)). Calculate the remainder when 9 is divided by (-1)\/o + 28\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 22*n + 2. Let k be j(3). Suppose 8 = -4*b + k. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 38\/60729371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -312 at least -21016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 25 = j. Let g = 43 + j. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2971 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -174 divided by -87.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 77*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -4*o**2. Let p(m) = -m**2. Let b(w) = 6*c(w) - 21*p(w). Let u(x) = -4*x**2. Give b(u(s)).\nAnswer: -48*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 164650.8 hours in days?\nAnswer: 6860.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 1\/5, -1, 5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from idzuzzziizii. Give prob of picking 1 i and 3 z.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-1440)*(-2)\/3. Let z = i + 11999\/2160. Find the common denominator of 6\/(-10)*272\/51 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -201220212011112 (base 3) to base 11\nAnswer: -5a80a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24 + -12. Solve 6*w - s = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -8*t**2 - 110*t + 6. Let n(w) = 25*w**2 + 329*w - 16. Let z(a) = 8*k(a) + 3*n(a). Find the second derivative of z(y) wrt y.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**2)**(-29)*(s*s**(-2\/7)*s)**(3\/11))**(15\/8) assuming s is positive.\nAnswer: s**(-33225\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.52 + 0.92. Let s = -1553.5 + 1554. Let f = 5 + -3. What is the nearest to g in s, -2\/5, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -45 - -43. Let n(v) = 64*v**2 - 56*v - 4. Let d(a) = -127*a**2 + 113*a + 10. Let b(r) = k*d(r) - 5*n(r). What is the second derivative of b(o) wrt o?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 30\/225 + (-73)\/(-15). Let j(u) = u**3 + 0 - v - 4*u**2 - 1 + 7*u - 2*u**2. Let k(l) = 6*l**2 + l. Let i be k(-1). Calculate j(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1043 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1076, 1100, 1114, 1112, 1088, 1036, 950, 824?\n\"Answer: -a**3 + a**2 + 28*a + 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5835700 rounded to the nearest 100000?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9174 = 9*p - 3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4207142*w**5 + w**4 + 2143*w - 1393 wrt w?\nAnswer: 84142840*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 0 + 36 + (38 - 18).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 2*b - 4*s, 92 = 4*b - 3*s - 78. Let o = b + -38. Suppose -u + 3*n - o = u, -2*n = 2*u - 12. Solve -4 = u*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 14\/145, -1, -77, 0.2, 1.189 in decreasing order.\nAnswer: 1.189, 0.2, 14\/145, -1, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 137 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 437 + 8*o**2 - 222 - 215.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17250 and 21965?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1138, -1132, -1124, -1114, -1102?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3130 in -0.4, 0.07, -0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29, -61, -97, -137?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 295 - 295 - 8*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + (-1)\/((-2)\/6). Suppose 3*h - 2*s = -5, 2*h + 33 = -12*s + 83. Solve -z = i + h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -4*b**2 - 1. Let j(q) = 13*q**2 + q + 3. Let o(s) = -2*j(s) - 7*n(s). Let r be o(1). Let a = 5 - r. Solve 2*m - 2 = a*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1159 - 886 = 21*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -219 - -215. Let n(b) = 25*b**3 + 9*b**2 + 9. Let l(j) = -6*j**3 - 2*j**2 - 2. Calculate u*n(o) - 18*l(o).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -95*d**3 + d + 117*d**3 + d + 14 to the form z + i*d**2 + c*d**3 + j*d and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -5*k**2 + 27*k - 5. Calculate j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 58 = -y, 904*y - 906*y = 5*h - 92. Suppose 132 = -5*p + 362. Calculate the lowest common multiple of p and h.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -1  (c) 44  (d) -67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -222 - -225. What is the remainder when ((-60)\/5)\/z*-8 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -12.6, 0.7, -2\/11 in decreasing order.\nAnswer: 0.7, -2\/11, -0.5, -12.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 38*l**2 + 2286*l + 18830. Let d(y) = -y**3 - 37*y**2 - 2281*y - 18837. Let n(g) = -2*d(g) - 3*i(g). Factor n(c).\nAnswer: 2*(c - 48)*(c + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*z - 5*z + 10*z)*(4*z + 0*z - 2*z)*(2 - 2 + z) in the form o*z**3 + b*z**2 + w*z + n and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2168367 + -1458.7161633. Let g = -1443.932975 - k. Let q = g + -15. What is q rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -3*p**2 + 66*p - 769. What is w(10)?\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -10*j - 12. Let u be p(-4). Sort 1\/11, u, -0.4 in ascending order.\nAnswer: -0.4, 1\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-75 - -71) + (11 - 6 - 9 - (1 - -3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1030*t - 15508 = 23632 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(468)*5)**2 + sqrt(13) + -1 + 3 + (sqrt(13) - sqrt(26)\/(sqrt(2)*1)).\nAnswer: sqrt(13) + 421202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.1  (b) 0  (c) 2\/9  (d) -0.33  (e) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 43877?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -49.5 + -3.5. Let s = 82325\/4 - 20581. Which is bigger: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 + 5*z - 2. Let d be s(3). Let q be (16\/12)\/(d\/24). Suppose x - q = 4. Calculate the remainder when 33 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 57\/(-38) - 18\/(-4). What is the highest common divisor of k and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -255155 (base 8) to base 9\nAnswer: -144578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of d**6\/120 + 2*d**5\/15 - d**4\/8 - d**3\/2 + 497*d**2. Let n = -4 + -2. What are the prime factors of q(n)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence du when two letters picked without replacement from uuuwduuuuuuuuuuuuuu?\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1662 + 2630 - 2*i**3 - 968 - 5*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 4*t - 1020 = 0, 0*q - 1526 = -3*q - 4*t. What are the prime factors of q?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 1509*f**2 + 15*f + 67. Is l(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*n + n + 4*n)*(144990 + 84*n**2 - 144990) - n**3 + 3*n**3 + 0*n**3 to the form t*n + v*n**3 + i*n**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of -z**6\/120 - z**3\/3 - z. Let b(q) be the second derivative of f(q). Let m(y) = -y. Determine b(m(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 2*b - 8. Let z be (-286)\/(-22)*(-20)\/(-65). Suppose -4*u + 5*t + 5 = 28, 0 = -4*u - 2*t - 2. Sort u, b, z, 0 in decreasing order.\nAnswer: z, b, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 3)*(2*b + 2 - 2) - 829*b - 609*b + 432*b + 5 - 5 - 2*b + (0 - 1 + 0)*(2*b + 0 + 0).\nAnswer: -1014*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 2 - 3)*(k + 0 + 0 + (k - k + k)*(-3 + 2 + 3))*(-k**2 + 3*k**2 - k**2) to the form w*k**2 + m*k + r + b*k**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*j + 6*j - 4*j)*(8274 - 7743 + 13564) to a + u*j and give u.\nAnswer: -28190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*w = 15*w + 12. Let n(a) = -a**3 + 3*a**2 - 2. Give n(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*j**5 + j - 2*j + 8*j wrt j.\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -98*l - 127. Let g be z(-25). Suppose -10*s = -6387 - g. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.5107 rounded to 1 decimal place?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10860 is divided by 452?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 14*(-22)\/1848*((-36)\/16)\/1\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uububbcubub. What is prob of picking 1 c and 3 u?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 6*z. Let v be 3\/9 - 659\/18. Let y = v + 73\/2. Is y at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00555243041 rounded to 7 dps?\nAnswer: 0.0055524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(2*3\/1896). Suppose -2*f - f + 263 = 5*x, 2*x = 4*f - o. Calculate the remainder when f is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and -24082 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5509339 is divided by 787047?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4499128819 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3.2 * -170\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -5*l**3\/6 + 35*l**2\/6 - 20*l\/3 - 40\/3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 103 - 99. Let q be (t - -5) + (-8)\/(-8). Solve b = 3*b - 3*r - 9, 5*b - q = -5*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 2:40 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 369794, 739591, 1109386, 1479179, 1848970, 2218759, 2588546?\n\"Answer: -k**2 + 369800*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -0.5, -5, 0.4 in descending order.\nAnswer: 0.4, -1\/3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153 = -3*h + 3*q, -2*h = 2*h - 2*q - 214. Let l = 94 - h. Let y be l\/57*(-6)\/(-1). Solve y*z + 14 = -2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*j - 10169 = -11049 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -16418, -35249, -86360, -185891, -349982?\n\"Answer: -2690*q**3 - q - 13727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 168 in -4, 0.5, -1\/3, 0.6, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -402 = -8*t + 774. Calculate the remainder when t is divided by 72.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - 76 - 5*h - 3*h**2 - 10 + 107 - 4.\nAnswer: -3*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 - 19*g**2 + 10*g + 18. What is l(-18)?\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -93630, -187575, -281520, -375465, -469410?\n\"Answer: -93945*d + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -123 at least -167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1546?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02057 * -3.4.\nAnswer: -0.069938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i, 1 f, and 1 o when four letters picked without replacement from bofbffbioibffqqof?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/2*(11 + -12). Let k be 10\/(-105)*x + 39899934\/14. Suppose -2*r - 3*j = -2*j - 1139995, -j = 5*r - k. What is r rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5, 3, 19, 49, 99, 175?\n\"Answer: k**3 - 2*k**2 + 7*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 + 16*x - 16. Does 13 divide d(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 581.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -30 and -0.1406.\nAnswer: 4.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z\/z**(-14)))\/z*z)\/z*z*z**9)\/(z**(6\/7)\/z*z**(-11)) assuming z is positive.\nAnswer: z**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2606893*f - 3443404?\nAnswer: 2606893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 187251 = 4*m + 3*v - 74149, 2*m - 3*v = 130718. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49431873.\nAnswer: 3, 16477291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 2*s + 4*z - 47, 28 = -2*s + 2*z. Let l(n) = n + 13. Let j be l(s). Suppose 2*r = a - 27 + 147, -3*a + 230 = j*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 4*h - 1619, -h + 4*h - 2*n - 1216 = 0. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 7 = -2, 2*d = 3*l + 145. Let p = d - 34. Let v = -31 + p. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c + 213 - 1158 = 0. List the prime factors of c.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14.7 - -14.5. Which is the closest to 1\/5?  (a) k  (b) -4  (c) -3  (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 + 5. Let n(t) be the second derivative of -t**5\/20 + 3*t**4\/4 - 7*t**3\/6 - 4*t**2 - 3*t. Let k be n(8). What is a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-1)\/(-1)*(-1)\/1*(-124)\/620?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 462 is divided by 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-510)\/(-306)*138\/(-10) + -15?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 1:50 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 3*j - 47, -2*f = f + 4*j + 44. Let b = f + 12. Let t be (-3)\/9 + 1\/3. Put b, t, -1 in decreasing order.\nAnswer: b, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9149538583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1362884, 2725763, 4088640, 5451515, 6814388, 8177259?\n\"Answer: -y**2 + 1362882*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40599 is divided by 20287?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 - -14. Let n(a) = a**2 - 6*a. Let c be n(6). Suppose c = 3*s + 5 - 20, 2*s + 15 = -5*w. What is the smallest value in w, 4, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + 13*v**2 - 849*v - 10330. Let t be k(-12). Solve 16\/3 - 12*z + 28\/3*z**t + 1\/3*z**4 - 3*z**3 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + 2*l - 2*l)*(1 + 0 + 5 + (-2 + 6 + 0)*(-4 + 0 + 2) + 0 + 4 + 1).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 330 (base 8) in base 3?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4425*q - 4416*q = 648. Calculate the smallest common multiple of 225 and q.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 99 and 296802?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1997246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h + 26*h**3 - 2*h - h.\nAnswer: 26*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 49 = y, 3*y = 2*w - 20 - 17. Suppose 43 + w = 11*l. Suppose i - 20 = 5*p + l*i, 5*p - 2*i - 8 = 0. Solve -f + p = -3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 126443451?\nAnswer: 3, 29, 31, 173, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6044*u**3 - 2976*u**3 + 37*u**2 + 3 - 3047*u**3 to the form x*u + r + m*u**2 + b*u**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 992\/1400*(3 + 2). Let h = o - 22\/7. Determine a, given that -h + 4\/5*a - 2\/5*a**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**3 - 3*z**2 - 4*z + 8. Let g be t(2). Let j = 4 + 4. Solve i = 3*h - h + j, 0 = -g*i - 3*h + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 9:51 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(((u**(-2\/7)*u)\/u)\/u))\/u)\/u**(-8)*(u\/(u**0*u))**(-36))**38 assuming u is positive.\nAnswer: u**(2470\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 2, 3, 0.315, 2\/7, -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23 and 9131.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 6:09 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - z = 8. Let d be 1*3*(-28 + 10 + (-69)\/3 + 42). Solve 23 = -d*g + z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*p - 2*p + 7*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u + 5. Let f = 6 - 11. Let a be h(f). Solve -z + a = -5*w, 0 = -z + w - 0 + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -2. Suppose 2*k = 14*k - 96. Suppose -n - k*v + 13 = -6*v, -v + 24 = 3*n. What is the greatest common factor of n and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -70.8 - -70.435. Let f = -1.765 - k. What is the second biggest value in 0.2, f, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -37 - -39. Suppose -6*q + v*q = -60. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -155, -325, -505, -701, -919, -1165?\n\"Answer: -n**3 + n**2 - 166*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*k = 10*k + 506. Calculate the greatest common divisor of 77 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-174)*1)\/(-8*(-8)\/192)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33 - -33. Suppose g - 5 - 17 = 0. Suppose 4*j - 2*v = -g, 4 = 2*v - 2. Which is the closest to 1.1?  (a) d  (b) j  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2775619832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lzlz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y + 34. Let q be x(15). Suppose 22 = q*j - 2*j. Is 82\/7 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4870 from -6327.\nAnswer: -11197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + m + m**2)*(-61 - 9 - 19) + (5*m + 0*m - m)*(10*m + 329 - 329) + (0 + 0 + 2*m)*(-2*m + 2*m - 2*m).\nAnswer: -53*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 9:29 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 4 = -2*m - 32, -2*m - 28 = -4*s. Let w be (-1 + m)*(-12)\/30. What is the derivative of 271*d - w*d**4 - 271*d - 17 wrt d?\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, s: 1, p: 11, f: 4}. What is prob of sequence ps?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/47, 3, 265, -13, 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 139040672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xjr when three letters picked without replacement from jxcxrxc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6847 + -7925. Which is bigger: -1080 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 897411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/(-27) + (-83)\/231. Let x = 71\/231 - l. Factor f**3 - 1\/3*f**2 + x*f**5 + 0 - f**4 + 0*f.\nAnswer: f**2*(f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1534943 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9678888 is divided by 197528?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 2*k - 1. Let s(g) = -g. Suppose 0 = -5*y + 4*c + 11, 0 = -3*c + 8 - 5. Determine y*f(z) + 7*s(z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 374774, 749546, 1124318, 1499090, 1873862, 2248634?\nAnswer: 2623406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/27 and 7?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -175de8 (base 16) to base 9\nAnswer: -2783570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, c: 10, w: 4}. What is prob of picking 2 x and 2 c?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 11.65 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1803 and 1085.\nAnswer: -1956255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-14))\/f)**4*f**11*f*f**(8\/5)*f assuming f is positive.\nAnswer: f**(-207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of 3*v**2 + 69*v + 257. Let s(q) = 4*q. What is the remainder when s(4) is divided by i(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/(-35))\/((-5)\/5*(-51)\/(-17))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 824?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*g**3 - 13*g**3 - 8*g**3)*(-4 + 5 + 8) + g - 2*g**3 - g.\nAnswer: -146*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 4*x - 5 - 5*x + 0*x + 4*x + 2*x. What is s(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-1))\/(8*24\/448)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -69 - -66. Suppose a + 1 = 30. What is the remainder when a is divided by (48\/20 + g)\/((-1)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*g - 2*g - g + (-g - 4 + 4)*(-5 + 0 + 2) + 6 - g - 6.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 308 - 67*q - 308 to the form u*q + f and give u.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 6*a**2 + 3*a + 8. Let j be h(-7). Suppose 3*l - l - 156 = 0. Suppose -j = -3*b + l. Solve -b = 5*w - 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -299933, -599977, -900023, -1200071?\n\"Answer: -o**2 - 300041*o + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -3*z. Let b(c) = -143*c + 8. Let q(p) = 288*p - 20. Let t(k) = 5*b(k) + 2*q(k). Give j(t(x)).\nAnswer: 417*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5 and 64085.\nAnswer: 64090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x - 7. Let c(r) = r - 6. Let q be c(-12). Let u = -16 - q. Suppose u*v + 11 = -2*s - 7, 4*v = 2*s + 6. What is a(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 + 5*b**2 - 1. Let o(c) = c**3 - 4*c**2 + 2*c - 6. Let d be o(4). Suppose -3*t + d = -4*i + 10, -5*i + 33 = 2*t. Give v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9887503 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7.5, 170.8, 2\/17 in increasing order.\nAnswer: -7.5, 2\/17, 170.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2781 and -23.\nAnswer: 2758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -212 + 212.5. Let i be ((-4)\/6)\/((-2)\/(-3)). Put 6, i, 0.2, j in ascending order.\nAnswer: i, 0.2, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(484) + sqrt(484)*-3)\/sqrt(11))\/(-4*sqrt(64)).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 2*n + 4*u - 6, 3*u - 15 = -5*n. Let c be 264\/21 - n\/(-7). Let t(v) = c - 13 + 13*v. Let a(h) = 2*h. Calculate a(t(b)).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 36733*x + 3563103. Determine y(-97).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 28*o. Let v(a) be the third derivative of -a**6\/180 + 17*a**4\/24 - 3*a**2 + 5*a. Let b(c) be the second derivative of v(c). Give b(t(y)).\nAnswer: -112*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.22 in 1, 5, -47?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 232046370 divided by 38674395.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 6*u**2 + 8*u - 7. Calculate j(5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8b88 - 23?\nAnswer: -8bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, -70, 0, 3.\nAnswer: -70, -27, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 + (-46 - (-12 + 35)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 6*o + 5*o - 1 = 0, 3*o = l - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*6\/(-45)*51\/(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 + 5*q**2 - 11*q - 14. Let d be r(-6). Factor -12*t + 19*t**4 - 16*t**2 - 17*t**4 + 14 - 4*t**3 + d*t**3.\nAnswer: 2*(t - 1)**2*(t + 1)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/608 and -13\/40.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -174294 < -174284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7 + (103\/72 - (-3)\/(-8)) - -3 and 121\/786.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*y - 15*y + 12*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 + 13*w - 8. Let z be i(-13). Which is bigger: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 120 and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 13*((-2340)\/169 + 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10254*q - 10250*q - 52. Calculate the remainder when 153 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*k + 0*k - k)*(-3*k**2 + 15*k**2 + 5*k**2) + 4*k**2 - 2*k**3 - 4*k**2 to the form m*k + d*k**3 + w*k**2 + x and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 7*n - 1. Let s(v) = -v**2 - 4*v. Calculate the remainder when c(2) is divided by s(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8335319 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -656?  (a) 0  (b) -9.6  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of 5*m**4\/18 - 122*m**3\/27 + 184*m**2\/9 - 328*m\/9 + 5540. Factor u(s).\nAnswer: 2*(s - 2)**2*(5*s - 41)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*d - 46*d + 144 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 639984?\nAnswer: 2, 3, 67, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of w**6\/20 + 3*w**5\/20 - w**3\/2 - 3*w**2\/4 + 10*w - 9. Let u(s) be the first derivative of t(s). Factor u(m).\nAnswer: 3*(m - 1)*(m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.72 * -31.\nAnswer: -177.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -8\/2779  (b) -6  (c) 1  (d) 0.14  (e) -0.3  (f) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2087 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*o - 75*o = 140. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 750410299 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 14) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -15527  (b) -2  (c) 2  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10130 + -211?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -336, 0, 1\/88?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (0 + 6 - 16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1180174063 to the power of 1\/2, to the nearest integer?\nAnswer: 34354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c + 2. Let v be s(2). Suppose v*k - 2*k + 91 = r, 5*r = 2*k + 487. Suppose -2*q + 4*n = -78, 2*n + 14 = 3*q - r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 57.4006087 + -57.4. What is g rounded to 5 decimal places?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 17  (b) -0.12  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 51645 and 30?\nAnswer: 103290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 + 0\/2)\/1. Let f be (-13 - (-295)\/15)*6\/4. Put 0, u, f in descending order.\nAnswer: f, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 3:54 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 4*f - 786, f + 1477 = 3*t + 298. Let z = -381 + t. What is the greatest common factor of z and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 473 = -3*o, -4*o + 0*o + 472 = 2*g. Suppose 0 = -3*z + 356 + g. What is the remainder when z is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of 3\/2*w**2 + 0*w + 2. What is the units digit of f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-eight thirds of a week in hours?\nAnswer: 1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10808*j**3 + 8938*j**2.\nAnswer: 64848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4265, -4259, -4253, -4247?\nAnswer: -4241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 12*f = 6384336. Let j = f - 13032028. What is j rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/2)\/((-1)\/(-2)). Let d = j - -1. Suppose 3*w = -d*w + 15. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence imii when four letters picked without replacement from titmttmtm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b - 2*k + 83368 = -4*b, 4*b - 2*k = 55602. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12113011132332 - -11?\nAnswer: 12113011133003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30*f**2 - 5*f**3 - 70*f + 48*f + 6*f**3 - 549*f wrt f.\nAnswer: 6*f + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, -348, -3, -1155 in ascending order.\nAnswer: -1155, -348, -3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 172526453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 12 = 2*t, t + 4*f = 3*t. What is the biggest value in t, 6, 2\/13, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30 or 418\/17?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(117) + 3)**2.\nAnswer: -6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 + 11*s**2 + 5*s - 14. Calculate t(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 163 = 3*l - 5*n, -l - n + 4 = -53. Let w = 209 - 194. What is the remainder when l is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*w + 25*w + 465 = 0 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*b - 128 = -128. Let s(n) = n + 2*n**2 - 4 + 21 - 3*n**2. What is the remainder when 47 is divided by s(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*n**2 + 14*n**2 + 16*n**2 - 61*n**2 + 11*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 134215437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-6\/5)*k*k**(1\/10))\/(k**0\/k**(-3\/8)))**23 assuming k is positive.\nAnswer: k**(-437\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**2 + 900668*h.\nAnswer: 4*h*(h + 225167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/(-28))\/((-2)\/(-7*924\/21))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1103 + 1097. Let r be 20*1434 - (3 + -3). Is (-2)\/d - r\/(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 30\/42 + 15206\/56 - 3\/(-4). Solve 324 = 17*r + f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00026591 to five dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 AM and 7:33 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 3*j**2 - 623*j - 10. Let a(h) = -5*h**2 + 935*h + 16. Calculate 5*a(n) + 8*i(n).\nAnswer: -n**2 - 309*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1378 - -1399. Solve g*h - 51 = -51 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ubl when three letters picked without replacement from {u: 2, b: 1, l: 1, q: 2, j: 4}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(76) - (sqrt(76) + sqrt(76) + 1*sqrt(76) - sqrt(76)) - sqrt(76))\/sqrt(4) - (sqrt(931)*2 + sqrt(931) + -1).\nAnswer: -23*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + 0. Is 9 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.5789316 plus -2.3?\nAnswer: 24.2789316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -6242.5708 rounded to the nearest ten?\nAnswer: -6240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.2, 65, -1, -0.1, 1.7 in descending order.\nAnswer: 65, 1.7, 1.2, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the first derivative of 0*s + 0*s**5 + 0*s**4 + 1\/6*s**6 + 0*s**2 + 6 + 8\/3*s**3. What is the third derivative of x(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 6*d**3 + 28*d**2 - 10*d. Let j be c(-5). Let j*k**3 - 9\/2*k**2 + 3\/2*k**4 - 3*k + 0 = 0. What is k?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1085698 divided by -2.\nAnswer: 542849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.908 - 0.092. Which is the third biggest value?  (a) v  (b) -2\/9  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1285, 1261, 1199, 1081, 889?\n\"Answer: -3*b**3 - b**2 + 1289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -57556\/7907 and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 266\/(-5) - 4\/5. Let s = a - -60. Which is greater: s or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 5*d. Let l be h(6). Let o = l - 34. Let m be 2 + (-3 - o - -27). What is the greatest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(3 + sqrt(72)))**2.\nAnswer: 324*sqrt(2) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 5*s + 4, 0 = 5*x - 2*s + 24 - 4. Let t = 1 + x. Let p be (1 + t + 5)\/3. Solve -3*z = p + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, c: 6}. What is prob of picking 4 l?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.7 - 0.3. Sort b, -0.4, -1 in decreasing order.\nAnswer: b, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -3. Suppose 0 = w*t - 6*t + 396. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -59?  (a) -17  (b) 0.3787  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32059112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 911, 902, 879, 836, 767?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10554 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3931827, -7863636, -11795443, -15727248, -19659051, -23590852, -27522651?\n\"Answer: s**2 - 3931812*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 5 = -21. Let d(c) = -c**2 - i*c**2 + 5 - 2*c + 4*c**2 + c. Let v = 22 - 26. What is d(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -2. Suppose 4*n - 101 + 9 = w. Suppose 0 = -5*t + 3*y + 25, 3*t - n = -t + 3*y. Calculate the greatest common divisor of 4 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 3*l + 22, -8 = -f - 4*l - 9. Suppose -3*v = 3*w - f*w - 3788, 5*v - 5*w - 6310 = 0. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 + 5 - (10 - -16)) + 42\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-3432)\/(-6006)*(0 + 2)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3323*i + 21 + 6648*i - 3329*i)*(-2209*i + 2209*i + 42*i**4).\nAnswer: -168*i**5 + 882*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144959 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/11, 3, -50\/9, -0.2, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -263*v + 16*v**3 + 263*v + (49*v - v + 9*v)*(v**2 + v - v) as l*v**2 + d + f*v**3 + b*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 12857801 (base 9) to base 10\nAnswer: 6356800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*t - 1160 = -470. Solve 9*f + 12 = t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 2\/19, 0.1, -64, 1, -0.3, 1\/2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13384?\nAnswer: 2, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of -4*f**2 + 0*f - 1\/24*f**4 + 0 - 1\/2*f**3. Suppose 0 = -5*l + y + 4*y + 5, -3*l - 2 = 2*y. Determine r(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of 7*j**6\/30 + j**5\/5 - 221*j**2\/2 + 330*j. Differentiate x(w) wrt w.\nAnswer: 28*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 312849 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 186 - -2?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 184\/1483, -3 in ascending order.\nAnswer: -3, 184\/1483, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.44 and 0.61.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 2*q + 4*r + 18, -q + r = 2. Let j be 6*(-1)\/(-1) + q. Differentiate -8*c**2 + 19 - 10*c**2 + 18*c**j - 8*c**4 wrt c.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) - (sqrt(288) + -1)**2)*-4 + 4 + 1*sqrt(288).\nAnswer: -132*sqrt(2) + 1160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.1 - 0.1. Let u = -474 - -514. Let w be 1 + (-12)\/(384\/u). What is the nearest to g in w, 0.19, 2?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 388527175?\nAnswer: 5, 1979, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 - 8*l**2 + l + 6. Let m be i(-8). Let x be (m\/8)\/(14\/140). Which is smaller: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 34 = 3*y, 2*y = -3 - 1. Let c(d) = -d + 20. Let v be c(5). Let o = v + x. Solve -o*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6378 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (145\/87)\/(20\/(-2304)*4)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-92)\/(-12) + -2 - 14\/21. Suppose -5*d + 90 = h*i, -5*i - d = 2*d - 88. Calculate the remainder when 99 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4099?\nAnswer: 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(117) - 2*sqrt(117)) + sqrt(117))*3)\/(sqrt(9) + (sqrt(99)\/(-2*sqrt(11) + sqrt(11)) + sqrt(9) + sqrt(9) - sqrt(9))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5\/44  (b) 1  (c) -2\/9  (d) 3\/4  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 + 72 - (2 - -14 - (-1 + 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 33652 and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 154 - 59. Suppose -4*c + p = 2*p - a, -5*c = -3*p - 123. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*u - u - 12*u**5 - 568 + 568 wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 - 6*p + 3. What is c(-11)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 16, 0.5, 1\/5, -4245, -7 in decreasing order.\nAnswer: 16, 0.5, 1\/5, -2, -7, -4245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**2 + 11*z - 10. Let d(y) = y**2 + 1. Let s(v) = -3*d(v) + f(v). Let j = 32 - 23. What is the units digit of s(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 minus -0.034297121?\nAnswer: -31.965702879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13210?\nAnswer: 2, 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -11. What is the derivative of -r*c - 7 + 4*c - 3*c - 3*c wrt c?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*t - 728960 = 8*t. What is t rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96353988 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-369)\/(-60) + -6)*16\/(-18). Which is the third biggest value?  (a) 0.4  (b) 2\/11  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19895*s**2 - 9617*s**2 + 35865*s**2 + (1 - 1 + 2*s)*(0*s + 2*s - 4*s) in the form t*s + u + j*s**2 and give j.\nAnswer: 46139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 32  (c) -0.0146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 PM and 8:02 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h - 375*d - 1137 + 3062, 79*h + 0*d + 2*d = 76*h - 20 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 18, -10, -78, -204, -406, -702, -1110?\n\"Answer: -3*o**3 - 2*o**2 - o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is c4104 (base 15) in base 12?\nAnswer: 25b611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 6*i + 1. Let j be m(-1). Let o(b) = -b**2 - 2*b + 3. Give o(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((0 + sqrt(1331))**2 - sqrt(275)*-1).\nAnswer: 5*sqrt(11) + 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 2 + 3 + -12 + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 184129 - 128762. What is the ten thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46168*k - 46175*k + 22 - 22.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2794559 - 931511 + 9*y - 931521 - 931527.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.9476 + -2.94759758. Round b to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11700 by -75.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 1887993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 712*o - 704*o = 144 - 0. What is the highest common divisor of o and 576?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 746 is divided by 468.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/1 - 0*2\/4. Let k = -2 + 2.5. Which is the smallest value?  (a) q  (b) -0.5  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5954 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 314369, 628904, 943437, 1257968, 1572497, 1887024?\n\"Answer: -c**2 + 314538*c - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 97282697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 + 2*b**2 + 8*b - 2. Let v(k) = 2*k**3 - 2*k**2 - 8*k + 3. Determine -3*s(d) - 2*v(d).\nAnswer: -d**3 - 2*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -546*y + 31 = -539*y + 101 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 194*p**3 - 73*p**3 - 114*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 494192 to the nearest one thousand.\nAnswer: 494000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 103*j + 151. Determine q(-8).\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:10 PM and 7:51 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 3 x when four letters picked without replacement from {x: 11, u: 3}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 47585*0.1\nAnswer: 4758.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -130*f**2*i**3 + 74*f**2*i**2 - 17372*f**2 wrt i.\nAnswer: -390*f**2*i**2 + 148*f**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22342 is divided by 21909?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11635\/325 - 12\/15) + 2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2\/3 - 3497782*f\/3.\nAnswer: -2*f*(f + 1748891)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -3*k. Let u(x) be the third derivative of -x**4\/24 - 14*x**2. Calculate -l(v) + 2*u(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -6 - 6 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16843 is divided by 1193?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1522522 - 0?\nAnswer: 1522522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 553, 2191, 4923, 8749, 13669, 19683?\nAnswer: 26791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 146687 and 708467.\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 2, -16\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 - 24*q + 19. Let o be y(23). Let k be o\/20 - (2\/40 - 0). Which is bigger: k or -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 3 + 3)*((0*x + 0*x + 3*x)*(-1 - 2 + 4) - x + 3*x - x)*(2*x**2 + x**2 + 2*x**3 - x**2) in the form f + h*x + p*x**2 + v*x**3 + u*x**4 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - ((6 - 12) + 12) - 0) + -10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 7*p - 4. Let j(b) = -9*b + 2. Let d(g) = 26*g - 6. Let c(f) = 6*d(f) + 17*j(f). Determine -13*c(y) + 6*z(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + n - 5*m - 1, -5*n - 5*m = 10. What is the tens digit of (-1)\/n - 113\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3*sqrt(3087))**2*3 + (sqrt(7) - (sqrt(7) + sqrt(7) + 1))**2*-6*2 + (0 + sqrt(7) + -2 + sqrt(7) - sqrt(7)) + -4.\nAnswer: -23*sqrt(7) + 333294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -35*(0 + (5 - 6)). Suppose 0 = -k*j + 13*j + 220. Calculate the remainder when 89 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3244 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/6, -1, -3, 0.412, 0.5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 - i**2 + 2*i - 3. Let y be v(2). Suppose t = -2*z + 20 + 9, -91 = -3*t - y*z. Let a = t + 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*d - d - 5*d)*(1 + 3 - 2) - 3*d + 0*d - 4*d + (2*d + 0*d - 4*d)*(0 + 6 - 4))*(-108 + 178 - 165).\nAnswer: 1615*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3158033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 222663\/80 - 2783. What is the common denominator of z and -39\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of n**3\/2 - 10*n. Let q(w) be the second derivative of 0*w**2 + 0 - 5*w - 1\/3*w**3. Determine q(m(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 31, 1 in descending order.\nAnswer: 31, 1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/((-5)\/((-5)\/(-2)))*-6574 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 559735489?\nAnswer: 17, 659, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 - 12*b**2 + 47*b. Let s be p(3). Let q(w) = -w - 5. Let h be q(-5). Put h, s, 1 in increasing order.\nAnswer: h, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*q + 243*q = -681 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c**3 + 22*c**2 - 14*c + 15. What is the tens digit of i(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w = 61*w - 1224. Calculate the greatest common divisor of w and 2376.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 4*k**3 + 103*k**2 + 556*k + 46. Determine n(-18).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 580 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 3. Let t = 2.1 - q. Which is the nearest to t?  (a) -1\/2  (b) -2\/9  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3412355 - 1?\nAnswer: 3412354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - -2. Suppose -c*k + 27 - 2 = 0. Let v(b) = -b + 8. Let n be v(-17). Calculate the highest common divisor of n and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.151867462 and -95435?\nAnswer: 95434.848132538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -24316580.907+-160.1\nAnswer: -24316741.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 7 - 7*d**2 + 2 - 11*d + 13*d + 4*d**3 to g*d**3 + k*d + c*d**2 + x and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**4 - 2*s**3 + s**2. Let j(c) = -7*c**4 + 7*c**3 - 15*c**2 - 7*c - 2. Let d(w) = -j(w) - 6*v(w). Factor d(q).\nAnswer: (q + 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 168\/31  (b) 0.1  (c) -0.5  (d) -1  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1805 + 1801. Sort 158, -6, 5, 1, w in increasing order.\nAnswer: -6, w, 1, 5, 158","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 3, -134095, -7, 1 in increasing order.\nAnswer: -134095, -18, -7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -9*d + 21. Let g = 6842 + -6831. Let t(y) = 5*y - 11. Determine g*t(x) + 6*k(x).\nAnswer: x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195*l + 66*l = 74*l + 5684 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 233223 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 247107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 - 8*y**2 + 7*y - 5. Calculate o(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + 2)\/(-94)*2. Let r(a) = a**2 - 2*a - 59. Let j be r(-7). Let f be j\/(-48)*4*-3. Is h greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j**2\/3 - 1429*j\/3 + 151996 = 0. Calculate j.\nAnswer: 481, 948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 13\/134460?\nAnswer: 13\/134460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -56 - 49. What is the highest common factor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-135)\/(-117) + (-6)\/39?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -3.17766?\nAnswer: -3.17766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 193*m - 8 = 191*m. What are the prime factors of m\/(-24) + ((-26411)\/42)\/(-11)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 2*p + 3*o - 1, 0 = -5*p + 4*o + 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2366228 divided by -1183114.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -398\/77, 0.4, 0, -5 in increasing order.\nAnswer: -398\/77, -5, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6 + 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve p**2 - 509 + 427 + 434*p - 2*p**2 - 351 = 0 for p.\nAnswer: 1, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of -5*j**4\/24 - 3*j**2 - 53. Let u(h) be the second derivative of f(h). Let y(m) = -10*m**2. Determine y(u(l)).\nAnswer: -250*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 56*f + 7. Let t be m(-5). Let g = 330 + -3929\/12. What is the common denominator of g and (-3 - t\/48)\/(-1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3\/11 + 3386*v**2\/11 + 1434816*v\/11 + 1431432\/11.\nAnswer: 2*(v + 1)*(v + 846)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 273 is divided by 53?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**2\/17 - 22616*v\/17 - 1730368\/17 = 0 for v.\nAnswer: -76, 11384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18471 divided by -3.\nAnswer: -6157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34606586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12223167*y**2 - 74455277?\nAnswer: 24446334*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*i**2 - 134*i - i**2 + 2*i**2 - 8.\nAnswer: -3*i**2 - 134*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 41510 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*a**4 + 2*a + 120?\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -5*t**5 - 50*t**4 + 70*t**3 + 140*t**2 - 265*t + 110 = 0.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 117.368433us in weeks?\nAnswer: 0.0000000001940615625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*x - 1)*(-4 - 6 + 5) - 11 + 6 + x + 7.\nAnswer: 11*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1965024 + -65.132\nAnswer: -1965089.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4123 (base 6) to base 4.\nAnswer: -32103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 9*m - 5. Let w be r(1). What are the prime factors of w*(487\/12 + 1\/(-3))?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**4 + 0*v**4 + v**4 + (17*v**2 + 831 - 831)*(-v + v - v**2))*(0 - 1 - 1).\nAnswer: 38*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 - 13*q**2 - 2*q + 5. Calculate n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 2 + sqrt(17) - (-2 + sqrt(272))**2)*-6.\nAnswer: -102*sqrt(17) + 1674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*s + 125 - 125 to h*s + y and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 21*y**2 - 6*y - 5. Suppose -3*h = -12 - 3. Let c be v(h). Suppose -c = -5*d - 95. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, -2, 10, 8, -48?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from ooog.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 69.5 + -47.4. Let b = m - 21.74. Is b > -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(153) - (sqrt(153))**2*-2.\nAnswer: 3*sqrt(17) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1774993, -7099951, -15974879, -28399777, -44374645, -63899483?\nAnswer: -86974291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*0.034\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 - -5. Suppose -171*y = -181*y + 90. What is the remainder when 707\/21 + h\/6 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4409438218?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30.72743 kilograms to nanograms.\nAnswer: 30727430000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/((-4)\/15)*540\/9. Let o = l + 1099. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h + 1. Let k(x) be the first derivative of -x**4\/4 - x**3 - 2*x + 9846. Calculate -k(w) + 2*s(w).\nAnswer: w**3 + 3*w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(3\/7)*m**(-5)*(m\/(((m*m\/m**(2\/29))\/m)\/m))\/m*m*m**(3\/13) assuming m is positive.\nAnswer: m**(-8634\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2209 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 l = 22 + -46. Let h = l + 10. Is h greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*((m*m*m\/(m\/(m\/((m\/(m*m**(-2\/23)\/m*m*m))\/m)*m)))\/m)\/m*m*m)*m)\/m)\/((m\/m**(1\/23))\/m*m) assuming m is positive.\nAnswer: m**(-158\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 0  (c) -0.4  (d) 3  (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -142 = -110*i + 78. Let s(d) be the first derivative of 5 - 3\/2*d**i + d**3 + 0*d. Let s(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 5*n + d + 24, -4*n - 2*d - 22 = 0. Suppose 2*h + 0*h - 5*g = 13, 2*h - 3 = -5*g. Which is the closest to 3?  (a) h  (b) 0.5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-9)\/2*6\/(-9). Suppose p - 1172 = -z*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -35 + 29 - (-7 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 3*h**2 - 3*h. Calculate l(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117 = 3*s + 42*r, 2*s = 8*r + 6*r - 12*r + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 4*l)*(1 - 5 + 5) - 37 + 7*l + 37.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 15*q - 8. Let y be v(-4). Let s = y - -750\/11. Let t = -1\/126 - 3\/14. Sort s, -0.1, t in ascending order.\nAnswer: t, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-11)\/44*(-4)\/1*2. Let t(x) be the second derivative of -4*x - 1\/3*x**3 + 1\/2*x**r + 0 - 11\/12*x**4. Calculate t(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/50*(-28)\/(-224))\/(108\/(-288))\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 220 and 85123340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-38)\/95)\/(1\/5))\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -61 in 2303, 1\/6, -0.09, 0.11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-186)\/1240)\/((-30)\/(-25)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21386 by 74.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1 - 0.1. Let f = -7.9 + 8. Let r = f - 0.5. Which is the third smallest value?  (a) 2\/11  (b) r  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -47*x**2 - 16 + 42*x - 18*x + 46*x**2. Determine z(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 17 = 3. Suppose -b - b + 3 = o, -f*o = 2*b - 12. Suppose -26 = -r - 4*d, r + 0 + 6 = 4*d. Solve -r = -o*w + k, 12 = -4*w - 9*k + 4*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11.81 + -0.19. Let i = y - -10. Is 3 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -d - 2*x, 2*x = 4*d - 0 + 6. Let o be -58 - (-1)\/(1 + d). Let f = -121\/2 - o. Are f and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2500*5.\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (1 + 19\/(-7))\/(22\/(-19327))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -6. Let x = 15 - 15. Suppose -5*a + 15 - 5 = x. Is a less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-2\/19)*v)\/((v\/(v\/(v*v**(-2\/13)))*v)\/v))\/(v**(2\/9))**(-22))**(23\/2) assuming v is positive.\nAnswer: v**(126224\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 156.986114619?\nAnswer: -153.986114619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of -1\/24*h**4 + 0 + 0*h**3 - 23*h**2 + 0*h. Let p(z) = -68*z**2. What is u(p(d))?\nAnswer: 68*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 339 + -355 + (1 + -1 - 20).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 + 27*p**2 + 17*p - 18. Let s be y(26). Suppose 0 = x + 9*x + s. Round x to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -19 - 2714.\nAnswer: -2733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 45\/2 of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of o**8\/168 + 19*o**7\/105 - o**6\/60 - 19*o**5\/30 - 18*o**2. What is n in c(n) = 0?\nAnswer: -19, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + q - 2. Let f be t(0). What are the prime factors of 16\/6*(-9)\/f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, 0, -1.3, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x + 1. Let d be 18\/10 - 3\/(-30)*2. Let n(b) = -9*b**2 + 2*b**d - 20 - 6*b - 24 + 50. Determine 6*h(w) - n(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 e, and 1 y when three letters picked without replacement from eymmmeyeeeeem?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 0.5  (b) 0.4  (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - 8. What is the smallest value in -12, 3, r?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 99 - 299\/3. Which is the closest to -2\/3?  (a) -2\/9  (b) z  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -1 + sqrt(1573) + -2 + (4*(sqrt(325) + 2))**2.\nAnswer: 331*sqrt(13) + 5260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4254, 8538, 12822, 17106, 21390?\nAnswer: 25674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/((-15)\/9 - -1). Let d = 11 - z. Solve 0 = -4*g - 5*f - 23, -d*f - 7 = 5*g - 3*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 550810 and 1850?\nAnswer: 101899850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.39054685 rounded to 1 dp?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 115.544885 rounded to one dp?\nAnswer: 115.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -22*f**2 + 8*f**2 + 3*f**3 + f + 11*f**2 + 4*f + 3. Let p be c(3). Calculate the greatest common factor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 3*j - 4. Let g(m) = m + 2. Let h be g(-7). Let t(k) = 0*k - 1 - 4 + 4*k. Let n(b) = h*y(b) + 4*t(b). Let c(q) = -2*q**2. Give c(n(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/2, -502, 3, 0.07, -1\/3?\nAnswer: -502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -27*l + 3096. Give t(112).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-7\/6)\/d*d*d)**(-19\/4)\/(d**4*d**(-31)\/d) assuming d is positive.\nAnswer: d**(577\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 11, 31, 67, 125, 211, 331, 491?\n\"Answer: y**3 + 2*y**2 + 7*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(2\/15)\/r)\/(r*(r\/((r\/((r\/(r\/(r*r**(6\/11))))\/r)*r)\/r*r))\/r)*r**(2\/3)*r*r**21)**(-16) assuming r is positive.\nAnswer: r**(-20464\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 6*y + 7. Suppose 0 = j + 3*d + d + 5, -3*j - 15 = 4*d. Let w be l(j). Let o = w - -26. Solve 2*a - g - o = 0, 18 = 2*a - 0*a + 2*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f**2 + 53*f - 30. Let y be u(-27). Let t be -1*(y - (3 + -7)). Suppose -2*w + w = -4. Put w, 5, t in ascending order.\nAnswer: t, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(15\/10 - 3). Suppose v*z = 44 + 128. Solve -5*h - 18 = -z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.9145867ml?\nAnswer: 0.0009145867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-8)*108\/297?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142086?\nAnswer: 2, 3, 7, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*t - 18*t = 4*m - 5443118, -m + 2*t + 1360793 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45235001 + 45235000.943975193. Let p = -0.455026917 - x. Let n = p - -0.399. What is n rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-22)\/209 - 360\/(-171). Solve u*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of r**4\/3 + 1368*r**2. Let s(i) = -59*i**2. Determine o(s(j)).\nAnswer: -472*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 711427269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 32910.30392 to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 3*h - 60, 2*s - 40 = -2*h - 2*s. Suppose -7*b + 3*g = -2*b - 115, 3*g + 35 = b. What is the lowest common multiple of h and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -150?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*u - 188*u**2 - 4*u + (-u + 0*u + 3*u)*(2*u + 2*u - 2*u).\nAnswer: -184*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 74484623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2629*s = -2723*s + 3196 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 9. Suppose -7*s - 20 = -2*s. Let u = s - -1. Sort t, -5, u in decreasing order.\nAnswer: t, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15) + sqrt(90)\/(sqrt(18)\/sqrt(3)))\/(sqrt(12)\/sqrt(4)*-2).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 96*z**2 - 5*z - 4. List the prime factors of n(-1).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 - 7*a**2 - a + 1. Give v(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -0*n. Suppose n = 4*x - 4*q - 828, -x - 3*q + 185 = -38. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - 404a866?\nAnswer: -404a862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 t when three letters picked without replacement from {v: 2, y: 3, t: 3, w: 5}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 7 - 5 = -4*j, 9 = 2*z + 3*j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 + -17.3. Let p = -4029 + 4037.3. Let q = p + d. Which is smaller: q or 6\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -74 - 487.\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.685336858 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*v**3 + 186*v**2 + 136 wrt v.\nAnswer: 12*v**2 + 372*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, i: 3, s: 4, p: 9}. Give prob of picking 3 i.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.138 + -182.138. Let q = 181.5008 + v. Let i = q - -0.5. Round i to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pn when two letters picked without replacement from ddpdjdndppjddddndj?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*r + 9215552094 - 9215552094.\nAnswer: 67*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 7*s + 20. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*w + 5*l, -5*w + 0*w - 4*l + 37 = 0. Suppose q - 13 = -2*c - 3, q - w*c = -25. Suppose q = r + r - 10. Solve -r*t + 9 = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 1aaa (base 14) to base 6.\nAnswer: 34250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 93926 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*j**5 + 13*j**3 - 13*j**3 + (3*j**2 - 143*j + 160*j - 101*j)*(2*j**3 - 5*j**3 + 4*j**3).\nAnswer: -4*j**5 - 84*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 229220.4 millennia to years.\nAnswer: 229220400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 + 8*g**2 + 36*g - 221. What is z(6)?\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let f = 95 - -296. Is f a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9276 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of -857*r**7\/30 + r**5\/60 - 649*r**4\/8 - 11*r**2 + 151*r. Find the second derivative of j(w) wrt w.\nAnswer: -71988*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22983 + -23304. Suppose 4*u - 6*u - 644 = 0. Is x smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -689*v - 6*v**3 + 1900*v + 3*v**3 - 14*v**2 - 1 + 12*v**2 in the form r*v + b + c*v**2 + w*v**3 and give r.\nAnswer: 1211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 3*b - 11 = 0, -5*q + 26 = -3*b + 49. What is the least common multiple of 22\/33 - ((-40)\/(-3))\/q and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1223412 is divided by 1062?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -11, -11, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/8)\/(-1*9)*-9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*c - 22*c**2 - 46*c**3 + 44*c**3 + 0*c as r*c**2 + k + q*c + o*c**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133*f = -132*f + 5*v + 436, -20*f = 5*f + 34*v - 32*v + 76 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 289914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -21*t - 43. Let c be f(0). Let p be (-3)\/3 - (-12 + 0). What is the common denominator of (-4)\/(-42)*(c - p) and 9\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -3.1, -1007, 5 in decreasing order.\nAnswer: 13, 5, -3.1, -1007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -7, 0.3, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of -3\/2*w**3 - 17\/2*w**2 - 2*w + 0 - 1\/4*w**4. Let m(h) = h**2 + 3*h + 6. Let n(g) = 4*c(g) + 11*m(g). Factor n(y).\nAnswer: -(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 60509\/83 - 729. Which is the nearest to n?  (a) 4  (b) -3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7192 - 36174\/5. Let s = u - -43. Let n(j) = -2*j + 21. Let q be n(11). Which is bigger: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.27 - 2926\nAnswer: -2926.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -8869, -7238, -5607, -3976?\n\"Answer: 1631*d - 10500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3481\/74 + 94\/37. Let b = 94080 - 374183\/4. Let j = b + -530. Find the common denominator of j and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + -2 - 2)\/(-26)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (14 - 2)*(-2 + 3). Let k = 25 - 23. Suppose -v = k*v - i. Solve -3*o + 15 = -5*r, 0 = -4*o - v*r - 6 + 26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + m + 4*o + 16, -2*m + o = -39. Suppose 0 = -m*t - 1484 + 8944. Calculate the remainder when t is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from jpihjxhp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -23301 (base 7) to base 6\nAnswer: -43403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -388 - -827. Suppose 425 = 6*r - t. Suppose 8 = -n + 24. Calculate the highest common factor of r and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*f**2 + 3440129*f**3 - 2*f**2 + 7*f**2 - 3440175*f**3.\nAnswer: -46*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*p - 59*p - p**3 + 23*p + 25*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the third derivative of 1\/30*r**5 + 0 + 0*r**3 + 3*r**2 + 0*r**4 + 0*r. Let k(t) = 4*t - 4*t - t. Determine k(w(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i - 1. Let v(z) = -3*z + 7. Let m(p) = 4*d(p) + v(p). Let w(s) = 5*s + 13. Let h = 34 - 52. Give h*m(u) + 4*w(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.0404 and 21508?\nAnswer: 21507.9596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*m + m**4 - 2*m**4 + 0 - 3*m**3 - 1 + 5*m to the form r*m + s*m**2 + f*m**4 + u + z*m**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 134 and 10932859.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6475?  (a) 19  (b) 0.1  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8228 is divided by 4114?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 - 8*q**2 - 669*q + 131. What is h(30)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 185 + -39. Let g = u - 146. Suppose l - 8 + 5 = 0. Solve g = l*j - 5*m - 1 - 7, 3*j - 5 = 2*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-220)\/(-6))\/((-4875)\/2925)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35610 divided by -2.\nAnswer: 17805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 520\/14 - ((-3)\/5)\/(133\/190)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*l + 56*l + 39 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 17 + 4 + 37 + 22 + 9*a - 8*a in the form d*a + f and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 38170 to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 156*p. Let a(f) = -79737*f**2 - 79680*f**2 + 159373*f**2. What is u(a(r))?\nAnswer: -6864*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32448088 to the nearest integer?\nAnswer: 5696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is 66122588 to the power of 1\/3, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 156100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 284 a factor of 10403396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.4  (b) 0.5  (c) -1\/3  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 4 = 3*t. Let d be (0 - -1)*t\/6. Which is smaller: d or 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -707696643*y**4 + 104735601312*y**3 - 3874828547304*y**2 - 19175500416*y - 23722032 = 0.\nAnswer: -38\/15359, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 538220 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 232828488 is divided by 65.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-20)\/6)\/(-1 + 10\/12). What is the hundreds digit of (i\/(-30))\/(4\/(-606))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 55081376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w - 3. Let g = 1 - -2. Let h(n) = 4*n + 5. Let y(v) = g*h(v) + 5*o(v). Let i(c) be the third derivative of c**4\/24 + 39*c**2. Calculate i(y(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 61524 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5 - 7.5. Let d = 8.5 + w. What is the third biggest value in 0.1, d, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -1172*x + 639. Let f(g) = -1174*g + 642. Let n(r) = 3*f(r) - 4*o(r). What is the derivative of n(u) wrt u?\nAnswer: 1166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t - 3. Let h be s(-4). Suppose h*f - j = 3*f + 20, 4*f - 5*j = 40. Let k = f + 6. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or 187\/38?\nAnswer: 187\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 168, 331, 494, 657?\n\"Answer: 163*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.147 and -0.0574.\nAnswer: 0.0084378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kfkygcf. What is prob of sequence cfkf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 143809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(1\/8)*p**(-2\/5))**(-25)*(p**(-2\/19)\/(p*((((p\/((p\/(p**(-8)\/p))\/p))\/p)\/p)\/p)\/p*p*p*p))**0 assuming p is positive.\nAnswer: p**(-95\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-435)\/4*-5 - (-1)\/4?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3332423 + 65?\nAnswer: -3332336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -1 + (81 - -39) - (54 + -49)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.2 + 0.2. Let d be (-11)\/(-2) + (-42)\/6. Let m be 4\/(-27)*(-3)\/(-2). Which is the closest to 0?  (a) m  (b) g  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -126 - -70. Let h(v) = -8*v**2 - 4*v + 5. Let q be h(2). What are the prime factors of (-75)\/(-2)*m\/q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n + 2*n = -5*j + 11, 3*j = -n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 12) in base 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2347, 11172, 25879, 46468, 72939, 105292, 143527?\n\"Answer: 2941*o**2 + 2*o - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.4 - 2.3. Which is smaller: c or 45?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/6 > -2\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 8\/4 - (0 + 0) - (-4287 - -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14889833.\nAnswer: 7, 1193, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = 3*y - 8, 5*y = y - 2*j + 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-203)\/290*(-120)\/224?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4009435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6949000 to the nearest integer?\nAnswer: 2636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 5*x - 21, -3*q - 22 + 3 = 5*x. Suppose o + q*o = 90. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 0 + (0 + 4 - 3)*(0 + 2 - 1) + 3 - 3 + 1)*(-1 + 1 - 2*x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4519910 rounded to the nearest 10000?\nAnswer: 4520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 - 21*y**2. Let s be q(21). Is s greater than -0.089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -384, -487, -658, -897?\n\"Answer: -34*q**2 - q - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q + 6. Let o be n(5). Which is smaller: 31\/3 or o?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12\/49, -2\/5, 75\/7 in increasing order.\nAnswer: -2\/5, -12\/49, 75\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 100332 (base 4) to base 12\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 4272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from ppxppddpppbbp.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28908, 35, 1 in decreasing order.\nAnswer: 28908, 35, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -64 + 64 - 39*y to the form u*y + c and give u.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = 49*b + 393, -25*j + 4*b = -29*j - 28 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 190207, 189202, 188197?\nAnswer: 187192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from obbbhxxbb. What is prob of sequence hxb?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1026 + 3066 = -8*j. Let q be (12\/(-10))\/((-34)\/j). Let r(y) = -y**2 - 10*y - 11. Calculate r(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*k**2*o**4 - 14*k**2*o**2 - 2*k**2 + k*o**2 + 2*o**6 wrt o.\nAnswer: 120*k**2*o + 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10972*s**3 + 712*s - 712*s - 10964*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 17 + 3 - 12*v**2 + v**3 - 55*v + 64*v. Let m be w(11). Sort 2, m, 4 in decreasing order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -2, 0, 1\/2, -1\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/((4\/(-2))\/10). Suppose 4*a = -h*y + 1179, -1 = y + 4. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7440894?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 32 and 136?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*(f\/f**(-21))\/f*f)\/f**16 assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3252 - -3226 - (-2 - -2 - 8 - -1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 379480, 758965, 1138450, 1517935?\n\"Answer: 379485*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, v: 1, a: 1, d: 1, s: 1}. Give prob of picking 1 v, 2 k, and 1 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 379 + -267. What is the remainder when n is divided by (-8 - -10) + 56 + -11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*q**2 - 7*q**6 + 8*q**6 - 2*q**2 - 6*q**6 wrt q.\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.434 + 0.434. Let f = -7 - -12. Which is the closest to t?  (a) 1\/6  (b) -3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1.7, -1\/5, -2\/9, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/56)\/(-3*((-1)\/(-14))\/(2\/8)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 6:28 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 15*g**2 + 1. Let s be k(-1). Let f be (196\/s)\/7*12 - -4. Suppose -7*z = -10 - f. Solve 5*u + z = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12323011 (base 4) to base 5\nAnswer: 1401412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p. Let d(t) = -t. Let o(x) = -6*b(x) - 5*d(x). Let y(u) be the second derivative of -10 - 11\/2*u**3 + 9*u + 0*u**2. Determine o(y(z)).\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 10*c**2. Let f(r) be the first derivative of -r**3\/3 - 6. What is p(f(n))?\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 12, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 49844 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(3564) + 0)**2 - (-2 + (sqrt(3564) - (0 + sqrt(3564)))**2).\nAnswer: 14258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 114 + -429. Let n = 584 + a. What is the remainder when n is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 9) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -1338*y**3\/5 + 266*y**2 + 26768*y\/5 + 32 = 0.\nAnswer: -4, -4\/669, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3909?\nAnswer: 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 5*b - 25, -4*b + b - 3*q = -21. Let i(m) be the second derivative of 0*m**3 + 1\/12*m**4 + 0 + 0*m**b + m. Let y(u) = -4*u. What is i(y(g))?\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuxuxxuyuyyyuxyxuxy. What is prob of sequence yy?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 47)\/(1011\/44147*-131).\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 + -19. Suppose u = -3*w - w + 8. Is (-1*w)\/((-6)\/267) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9028*f**4 + 4517*f**4 - 2*f**3 + 89*f**2 + 4510*f**4 + 90*f.\nAnswer: -f*(f - 9)*(f + 1)*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1118*x**4 - 2*x**3 + 3089*x wrt x.\nAnswer: -13416*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 69*44\/(-495) + (8 + 1 - (7 - 4)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 2 - 3*w - 8 + 4*w - 7*w - 13.\nAnswer: -6*w - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y + 17. Let m(r) = r**3 + 4*r**2 - 2*r - 5. Let x be m(-4). Suppose -2*k + 45 = x*k. Calculate the remainder when j(0) is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -163, 16, 5 in increasing order.\nAnswer: -163, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -16, -2, 26, 74, 148?\n\"Answer: a**3 + a**2 + 4*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 59633.9l in millilitres?\nAnswer: 59633900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 127\/(-1196) - (2766\/(-23511) - (-24)\/782)\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 166?  (a) 2  (b) 2\/37  (c) -26  (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*k - 0. What is the lowest common multiple of 16 and k - (2 + -3 - 17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 3:22 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.2 + -0.2. Let h = q - -3. Let s = 221\/954 + -1\/106. What is the nearest to 1 in s, -0.4, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 49.59851l?\nAnswer: 49598.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {q: 7, x: 4, m: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*w + 1105 = 15*w - 47. Calculate the greatest common divisor of 9824 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1665.45856 to the nearest integer.\nAnswer: -1665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -617277241 by -811.\nAnswer: 761131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.8 + -4.97. Let l = -1.12 + -0.05. Let x = o - l. Sort -0.2, x, -10 in increasing order.\nAnswer: -10, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*f - 162 = -7. Suppose -20*z + f*z = -596415. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52686 is divided by 554?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(68) - (-4 + sqrt(68))**2) + -1 + 2 + 0.\nAnswer: -83 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 2*d + 44 = 3*c, 0 = -c + 4*d + 20. Let o(j) = j**3 + 10*j**2 + 11*j + 8. Let r be o(-8). What is the greatest common factor of r and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - -2)*(8 + (2 - 9)). Are a and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(343)*-3)**2*-6.\nAnswer: -18522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 56144320049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156 = -2*v - p, -v - 142*p + 140*p + 72 = 0. Calculate the highest common divisor of v and 432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1513 and 3.5001 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*q + 9767 = 9275 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 2*d + 22, -d = 2*o - 8 + 1. Let w(z) = -z. Let v(x) = -x. Determine o*v(h) - 5*w(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 5*l. Let t(m) = -6*m. Suppose -2*o + 4 = 2*g, -5*o + 0*o = -5*g - 10. Suppose 0 = -3*v - 3*f - 15, o*v + 3 + 0 = 5*f. Calculate v*t(r) - 5*p(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.9 - 0.3. Let m = 0.5 - l. Let z(y) = y**3 + 35*y**2 - 36*y + 4. Let w be z(-36). Which is the closest to m?  (a) -3  (b) w  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -11*s - 61. Let x be n(-6). Sort x, -3, -54.\nAnswer: -54, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 4*f + 4 = 0, -12 = -128*f + 131*f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -j - 48, 3*j = -2*n + 47 + 34. Suppose n*h - 105 = 40*h. Calculate the remainder when 56 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 + 25*z**2 + 23*z + 81. Let x be n(26). Suppose x*g - 13610 = -7*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of -53*o**2\/2 + 73*o - 68. What is the first derivative of a(w) wrt w?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 6 - (45 + -39).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1490264 is divided by 513?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 213422753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4.143859 nanoseconds?\nAnswer: 0.000000004143859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (35\/(-6))\/(29\/(13224\/(-190)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211220022 - 2020?\nAnswer: 211211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -146983 divided by -24.\nAnswer: 146983\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -163559?\nAnswer: -3\/163559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14506040 and 307190?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 24 = -5*i, 4*b - 98 + 94 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 43fb54 (base 16) to base 8\nAnswer: 20775524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 29 = 11. Which is smaller: -0.3 or a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1c4 + -2a32b?\nAnswer: -2a147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -103 + 107. Solve g*m - 19 = -3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 102 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/3420 and -131\/816?\nAnswer: 232560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6835479 divided by 21.\nAnswer: 325499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-268)\/(-52) - ((-2)\/13)\/(-1). Suppose 2*j + 73 = -s*r + 713, -j + 326 = r. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 65*r + 1420. Calculate q(-15).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -3 - 9 - 4 + 3 - 8*k. Is 15 a factor of x(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 3*s - 212 = 0, s + 2*s = 5*t - 188. Calculate the greatest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (128\/(-200))\/((-534)\/2225)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5880\/(-1176) - (1 + -1 - -2 - 57174) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3*r**2 + 27*r + 18. Determine v(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1*1*-1*(-237 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35287823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t + 1 - 1)*((0 + 1 + 1)*(-2 + 2 + t**2) + 0*t**2 - 7*t**2 - 13*t**2) to h*t + d + l*t**3 + m*t**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 448583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**4 - 15*f**3 + 180*f**2 - 160*f.\nAnswer: -5*f*(f - 4)*(f - 1)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -8, -4, 36, 122, 3, 1 in decreasing order.\nAnswer: 122, 36, 3, 1, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, -2\/11, -7.5285?\nAnswer: -7.5285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/30 + (-87)\/(-90) - (3531\/(-1430) + 2)\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -79256*a**4 + 32*a**3 - 2*a**2 + 1309136726*a?\nAnswer: -951072*a**2 + 192*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(1\/8))\/z*z*z*z*z**(-2))\/(z**(1\/5)*z**(-3))*(z**(-1\/4)*z**(-4))\/(z**(-3)*z*(z\/z**(-5)*z)\/z) assuming z is positive.\nAnswer: z**(-173\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 86321\/16 - 5390. Find the common denominator of v and -15\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2468, 4942, 7416, 9890?\nAnswer: 12364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(693)*2*6)\/(-6*sqrt(33)\/sqrt(3)))\/((sqrt(3645)*2)\/(sqrt(5) - sqrt(405)*2)).\nAnswer: 17*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooja. Give prob of picking 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 + 18. Let m = -6.93 + a. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47418 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of 6\/7*p**2 - 17*p - 1\/14*p**4 + 1\/3*p**3 + 23. Let v(o) be the first derivative of f(o). What is q in v(q) = 0?\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.19 + -135.19. Let g = f + 134.000001492. Round g to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 w when three letters picked without replacement from xzxseesweeees?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*l + 34 - 23*l - 70 + 38 - 26*l.\nAnswer: -32*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 4*o**2 + 0 - 6 + 6. Let u = 27 - 25. Let r(z) = -2*z**u + 10*z**2 + 2*z**2. What is w(r(b))?\nAnswer: 400*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 51770.709s in hours?\nAnswer: 14.3807525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8437 and 3068?\nAnswer: 33748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 480 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -12*d**3 - d**2. Let o(z) be the second derivative of 2*z**3\/3 - 27*z**2\/2 - 46*z. Let l be o(7). Calculate p(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7457 is divided by 2446.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) - sqrt(110)*-2*2 - (3*1*sqrt(110) + sqrt(110)))\/(-3*sqrt(10)*6*6)*-4.\nAnswer: sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25*3*658\/188*24\/126?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3 + 10258837*z**2 + 10258836*z.\nAnswer: z*(z + 1)*(z + 10258836)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -11 - 1. Let y be 2\/j*2*-3. Let u = -2 + y. Solve u*k - 5 = -5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15 and 345.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(4\/3)\/u)\/u)\/u**17 assuming u is positive.\nAnswer: u**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -3*f + 16. Let x(b) = b**2 + 1. Let t be x(-1). Suppose t*o + f*l = 3*l + 23, 2*o - 5 = l. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597811.1 litres in millilitres?\nAnswer: 597811100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -865 in 17, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*r = -40*r - 73*r - 1157 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 653327730 rounded to the nearest one hundred thousand?\nAnswer: 653300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -1642*t**3 + t**2 + t + 1. What are the prime factors of c(-1)?\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00005519155 to 7 dps.\nAnswer: 0.0000552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**2. Let i(c) = 251*c**2 - 154*c. Give i(z(f)).\nAnswer: 1004*f**4 - 308*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-11)\/(-33))\/(4\/10092). Let m = i + 81. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.108 - -6.1085858. What is i rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2*c - 12. Calculate z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**4\/10 - 4102*r**3\/5 - 8515127*r**2\/5 - 83619270*r - 2077741125\/2.\nAnswer: -(r + 25)**2*(r + 4077)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*z**3 + 4*z**3 + 73*z**2 + 42*z**2 - 115*z**2 + 23*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 7*h**3 + 10*h**2 - 11*h + 14. Let p be l(8). Let w = -2387 + p. Suppose -15*t + w = 293. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l + l - 6*l)*(-1 + 0 + 2) - 3 - 53*l - 1 + 74*l.\nAnswer: 19*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 317492681 to the nearest integer?\nAnswer: 17818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3815, -7205, -10595?\nAnswer: -13985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (10 + (-3 - -7))) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(72) + 1*(sqrt(72)*-1 - sqrt(72)) + -5 + -2 + sqrt(72) + -2 + sqrt(72) + 3 + -5 + -1)**2.\nAnswer: -156*sqrt(2) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 248 + 2742*s - 248.\nAnswer: 2742*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 568, 558, 546, 532, 516, 498, 478?\n\"Answer: -t**2 - 7*t + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 + -19. Let o(u) = -2*u + 4. Let t be o(n). Solve 5*x = 12 + t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -430 + 430.177. Let z = b - 0.17. What is z rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 245955\/16 - 15367. Let r = 479229\/26 + -18434. Calculate the common denominator of g and r.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9189 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 + -8 + 3)*(-1 + 0). Suppose -5*p + 8*p = -4*j + 11, 0 = -p - z*j + 5. Let o = 3 + 1. Put o, p, 0 in descending order.\nAnswer: o, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -2*u - 613, -4*u - 1005 = -5*k - 9*u. What is the greatest common divisor of k and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (-18 - 3) - (8 + 1 - (25 + -23))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = 1100*c - 1099*c - 15, 15*c + 6*n - 5*n + 80 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a factor of 712452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i + 1. Let y(b) = 2*b + 9. Let k(l) = 6*s(l) - y(l). What is the derivative of k(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1121 or 73205?\nAnswer: 1121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -532, -704, -876?\n\"Answer: -172*x - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0113404 take away 50512988?\nAnswer: -50512988.0113404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 105553293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*h + 97*h - 2261 = -107*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 79996.59m?\nAnswer: 79996590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 - 9\/(-6)*-14. Let a = z + 22. Solve -5*f - 17 = k, a*f = 4*k + 2*f - 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 27*m**2 + m + 1. What is t(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1231 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 AM and 4:10 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -14, -5, -9\/13 in descending order.\nAnswer: 1\/3, -9\/13, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -5*x**2 + 4169*x + 44. Let g(s) = s**2 - 834*s - 8. What is 2*f(m) + 11*g(m)?\nAnswer: m**2 - 836*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5884b + 10?\nAnswer: -5883b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -150822, -150825, -150828, -150831, -150834, -150837?\nAnswer: -150840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -3*r**2 - 78*r + 45. Let o(d) = -505*d. Give n(o(t)).\nAnswer: -765075*t**2 + 39390*t + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 399548372*p**5 + 41765651*p**2 - 4?\nAnswer: 23972902320*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -6*(-4*(2*sqrt(320) + sqrt(320) + 2 + sqrt(320) + sqrt(320)*1*6) + 0)**2.\nAnswer: -3072380 - 30720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7101132 millilitres to litres.\nAnswer: 0.0007101132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -82\/70983 and 35\/32373.\nAnswer: 7737147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 209 and 803?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 66091395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 358\/15 - 24. What is the smallest value in q, -0.5, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11145 (base 8) to base 14\nAnswer: 1a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 24*j + 266. What is the units digit of n(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 5*q + 6 + 5 + 21. What is the smallest common multiple of y(-6) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2680.0141 - -0.0141. Let l = -2680.2426 - d. What is l rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 14*s**2 - 17*s + 17. Let m(i) = -85*i + 91*i - 3 - 23*i**2 - 3 + 18*i**2. Calculate 17*m(n) + 6*v(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -165 + 102 + -7 + 33\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - -15 - (32 - (-13 + -18 - -16))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5d - -6164a?\nAnswer: 616a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 122993\/20 - 6148. Find the common denominator of c and (-1)\/(-4) - 279\/(-444).\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7.8 - -8. Sort -6, l, 0 in ascending order.\nAnswer: -6, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 2552*j - 2547*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 222 and 9882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 188, 1798, 6192, 14768, 28924?\nAnswer: 50058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 91 - (1\/(-1) - 0)*0. Let q = -89 + d. Solve 0 = -q*z + z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2042, 4133, 6224, 8315?\n\"Answer: 2091*r - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 406, 5, 1 in increasing order.\nAnswer: 1, 5, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from xhmjjxxwhwjwxjjjmj.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**(-1\/8)*i)*i)**2)**45 assuming i is positive.\nAnswer: i**(405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*g**3 + 5*g - 5*g)*(302 - 1161 + 254).\nAnswer: 6655*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 920\/153 + -52\/9. Let s be ((-5)\/15)\/(-1*1\/(-4)). Put -0.2, a, 0.5, s in ascending order.\nAnswer: s, -0.2, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5 and 15003985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -36 (base 8) to base 14\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 + 14*z**2 + 24*z - 33. Let j be b(15). Let g = 102 - j. Solve 12 = -2*t + 4*k, -2*k + 4*k - 8 = g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -91.738 - -92.738. Let j(x) = 2*x + 2. Let p be j(-3). Which is the third biggest value?  (a) -0.1  (b) -5  (c) n  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 - 30*z**2 + 131*z - 80. Calculate the remainder when 160 is divided by o(25).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2289 and 466193?\nAnswer: 1398579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = r - 2. Solve 3*h + r = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -15080369.\nAnswer: 3\/15080369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a + 14 = 4*s + 9*a, -20 = 4*a. Suppose -5*w = s + 14, 0 = 5*f + 5*w - 1900. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2 + 2 + i)*(2 - 4 + 1) - 3*i - 17 + 17)*(0 + 2 - 4)*(-1 - 2*i**2 + 1) as g*i + y + m*i**2 + b*i**3 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 387, 388, 389?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -7 + 1. Let p(o) = 8*o**n - o**3 + 4*o**3 + 3 - 2*o**3. List the prime factors of p(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3\/172 - -2645\/1204. What is the common denominator of o and -43\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*((i*i*i**(-2\/3))\/i*i)\/i)\/i)**(-15)\/((((i\/i**(-6))\/i)\/i*i)\/i*i**2))\/((i*i*i**9)\/i*i*i*i**(2\/5))**(-27) assuming i is positive.\nAnswer: i**(1614\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 243401*l**4 - 2 - 243397*l**4 + l**2 - l**2 - 12*l**3 to f*l**2 + z*l + a + x*l**4 + g*l**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 4*c**3 + 270*c**2 - 2416*c = 0.\nAnswer: -151\/2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 2*y - 4*z = -4*y + 77 - 105, 39*y - 3*z = -315 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, 13, 2, 36 in decreasing order.\nAnswer: 36, 13, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 + 3\/6*-4. Put -5, r, 4, -1 in descending order.\nAnswer: 4, r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l**4 + l**4 + l**5)*(49 - 94 + 58).\nAnswer: 13*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19248\/19 - 1013. What is the biggest value in 5\/2, t, 2\/7?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 130935 by 129.\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 329633337, 329633339, 329633341, 329633343?\n\"Answer: 2*f + 329633335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188677 is divided by 94331.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 - 117*p + 2195. Give b(89).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46.8*0.08.\nAnswer: 3.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1725814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -3*n - 10, 0 = -4*n - 10 - 2. Let y(g) = 7*g + 1. Determine y(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1091 + -6?\nAnswer: -1097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 298026186?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of x**4\/6 - 13*x**3\/6 - 5*x**2\/2 + 908*x. Determine h(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of h**2*m + 25*h**2 - 87*h + 707606*m + 673 wrt m?\nAnswer: h**2 + 707606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5909806621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 0. Let q(x) = 3*x + 48. Let h be q(-11). Let v = -61\/4 + h. Is w not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 13, x: 3, y: 3}. Give prob of picking 2 h and 1 y.\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 76*c**3 - 230*c**2 + 39*c - 111. Calculate h(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffraagffcfarrfarffaf. What is prob of sequence fgf?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 893869.\nAnswer: 241, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -0.103?\nAnswer: 0.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69\/(-23) + 28\/6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 15 - 12 + 2774*g - 9059*g.\nAnswer: -6285*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-88)\/(-22))\/((-2)\/3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*q**3 + 12*q**3 + q**3 - 2*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 343643347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 155031 and 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -456, -1829, -4118, -7323, -11444?\n\"Answer: -458*u**2 + u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 324422373 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 104\/(-5)*102\/(-17). Let g = 126 - p. What is t in g*t + 2\/5*t**3 + 2\/5 + 6\/5*t**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 79396.82mm in micrometers?\nAnswer: 79396820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - o. Let t = -4743 + 4742. Let b(d) = d**2 + d + 1. Let a(g) = -5*g**3 - 8*g**2 - 2*g - 8. Let y(v) = -5*a(v) - 40*b(v). Give t*y(k) + 30*c(k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 57. Suppose 2*k - s - 9 = 0, 3*k + 3*s = 2*k - 13. Let a(f) = 4*f**k - 44*f + g*f. Let t(h) = -4*h. Calculate a(t(r)).\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of g**5\/210 - g**3\/21 - 9*g**2. Let d(x) = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19257680 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**4 + 998*y**3 + 95150*y**2 - 7713750*y.\nAnswer: 2*y*(y - 51)*(y + 275)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24 - (20 + -10)) + 27 + -7.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(0 + (-5)\/(-25)). Suppose -m = -b - 2. Let c be (-12 - -13)*(1 + b). Solve 0*g = 3*g - 3*h - 9, -c*h - 20 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 2*w - 13, 0*w - w = 5*r - 10. Suppose -2*a + 45 = 5*s, 8 = 3*a + 10*s - 11*s. Solve -2*c - a = w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = m - 1. Let d(q) = 34*q**2 + 1. Is d(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -96 divided by 4470.\nAnswer: -16\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (189\/3087)\/((-1)\/(-7)). Suppose 2*u - 3 = -1. Let y be (40\/(-12))\/u - -3. Sort -6, y, l.\nAnswer: -6, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 divided by 2507?\nAnswer: -17\/2507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(75) + -2)*1)**2 - (-2 + (sqrt(75) - sqrt(75)*-3))**2) + (-2 + sqrt(75))*-2 + sqrt(75) + (sqrt(75) + -2)**2*-4 + sqrt(75).\nAnswer: -1437 + 140*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*u**3 + u**3 + 0*u**3 + (-3*u**2 - 4*u**2 + 5*u**2)*(-2*u + 3 - 3) - u**3 - 3*u**3 + 5*u**3 + (-8*u + 8*u + 8*u**2)*(0*u - 3*u + 5*u).\nAnswer: 22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-9)*3\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + c - 987078, -4*g - 36*c = -37*c - 987074. Is g 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 {a: 2, l: 1, g: 2, z: 1}. What is prob of sequence la?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g\/g**(2\/9))*g**(1\/10)*g\/(g\/(g**(1\/9)\/g))*g*g**11)**(-39\/5))**(-48) assuming g is positive.\nAnswer: g**(97656\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25917?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1929 and -2.\nAnswer: 3858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 136074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 90 - 631\/7. Let y = -2 + -2. Let r = -5 - y. Put g, r, 1\/8 in descending order.\nAnswer: 1\/8, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 887 is divided by 203?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1026, 2306, 3840, 5628, 7670?\nAnswer: 9966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 3 = 1. Let g be (z + 1)*(-1)\/(-2). Solve k = -g - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 PM and 2:51 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -48, -50, -52, -54?\n\"Answer: -2*k - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14024163, 28048324, 42072485, 56096646, 70120807, 84144968?\nAnswer: 98169129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 13 + 122 + (-26 - (12 - 20))\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 2 - (6*(-7)\/3 - -73)) + 0\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - 1011?\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3385 + -156\nAnswer: -3541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 4*f - 11 - 24 = 0, 2*r - 5*f = 44. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 274*n = 283*n - 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + -18 - 9 - -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 21*q**2 + 5*q - 6. Let a(x) = -x**2 + x - 1. Let g(j) = -5*a(j) + d(j). Find the first derivative of g(t) wrt t.\nAnswer: 52*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 + 45*s + 358. Give n(-12).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 218587413.\nAnswer: 3, 11, 29, 228409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(2\/7)*o)**(-28)\/(o*o*o*o**(1\/4))**(14\/11) assuming o is positive.\nAnswer: o**(-1147\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 + 7*h**2 + 8*h + 3. Let o be j(8). Suppose -u + 2*p - 4 = u, -5*u = -o*p. Suppose -u*g = -0*g - 201. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 332 + -89. Let g = 245 - v. Calculate the highest common factor of g and 60.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 - s + 5. Let t(g) = -11*g + 7. Let y(a) = -2*r(a) - t(a). Let q be y(7). What is q rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 149976980.\nAnswer: 2, 5, 29, 258581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 + 7*n - 1. Let l be z(6). Suppose 2 = -7*g + 1 + 1. Solve l*m - 15 - 10 = g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -5*a**3 + 3*a**2 + 17*a + 3. Let d(c) = 11*c**3 - 7*c**2 - 34*c - 7. Let g be 8 - (12 + (-4)\/(16\/(-12))). Calculate g*o(u) - 3*d(u).\nAnswer: 2*u**3 - 17*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, h: 12, c: 1}. What is prob of picking 2 h?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1152) + 1 - sqrt(1152)) + 2*sqrt(1152))**2.\nAnswer: 96*sqrt(2) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 4:02 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of -b**5\/60 + b**4\/4 - 7*b**3\/6 + 7*b**2. Let p be t(4). Let c = p + 6. What is the remainder when 19 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(40)\/(sqrt(24)\/sqrt(3))*-2 + 2.\nAnswer: -4*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 - 8*b**2 + 11*b + 11. Let l be a(-9). Suppose 0 = -d + 4*o + 18, 26 + 12 = 4*d + o. Let f = d + l. Solve -f*u - 3 = 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3405817986 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/4?  (a) 1  (b) 6.9  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 90\/520*(-12)\/9.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 85 = -40. Let p = i - -44. What is the remainder when 35 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3010 (base 4) to base 12\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*f = -31*f - 80. Let o(a) = -a**3 - 7*a**2 + 10*a + 21. Let p be o(f). Solve -q = p*x - 9, -2*q + 2*x - 8 = -x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1176423, -2352841, -3529259, -4705677?\nAnswer: -5882095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -234 = -2*f + 142. Suppose 2*u - 6*u + f = 0. Let z = u + 6. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2002*k + 3*k**4 - 429*k**3 + 1899*k + 857*k**3 - 398*k**2 - 427*k**3 wrt k.\nAnswer: 36*k**2 + 6*k - 796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - -38?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 33*x - 242. Let t be n(8). What is the highest common factor of 209 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 3*x**3 - 17*x**2 + 6*x - 11. Let p(l) = l**3 - 6*l**2 + 2*l - 4. Calculate 11*p(q) - 4*z(q).\nAnswer: -q**3 + 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kudkiko. Give prob of picking 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 - -43. Suppose 9*b - 40 = 5*b. Let o = 21 - b. Calculate the remainder when v is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*a - 189 = -23*a. What is the highest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-10)\/(-6)*8\/60. Let a = -154.7 + 154.7. Let i be ((-2)\/38)\/(2\/4). What is the closest to n in i, -1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 27 - 25. Suppose -4*i - 4*r = -196, -2*i + 202 = a*i + r. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0090452 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3604 + -3573. What is the greatest common divisor of k and 3193?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/(-18)*24819992 + 4 + 0. What is f rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -5*b - 78, -n = 3*n - 2*b - 72. Calculate the remainder when n is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9 + -4 - -15) + 4 + -9 + (18 - 21)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 3*y = -2. Factor 4 - 3*v - 3*v**3 - y + 4*v**3.\nAnswer: (v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 0 - (-3 + 10)) + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/(p**(-3\/13)\/p))\/(p\/(p\/p**(3\/4))*p*p) assuming p is positive.\nAnswer: p**(25\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -166 from 0.04795.\nAnswer: 166.04795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 575052 = 3*p + 660. Let a = 82464 - p. Round a to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -44*g**3 + 2*g + 2. Let h be j(-2). What is h rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-7))\/(546\/3185) - (-93)\/(-54)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21.482 + 0.008.\nAnswer: -21.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 500499 <= 501069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.854785 kilograms in nanograms?\nAnswer: 9854785000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38575904 divided by -2294.\nAnswer: 16816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 36*g - 466. Determine q(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 0.2  (b) 1\/2  (c) -3.5380383\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 5 - 3. Suppose 12*u + d = 11*u. Is 33 a factor of (-1338)\/(-18) - u\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 7. Suppose -y*t + 5 + 4 = 0. Let l = -12 + 14. Solve -l*g - t = 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -337*m + 329*m - 16 = 0. Let z(g) = 2*g**3 - 3*g**2 + g + 3. Let u(d) = -d**3 + 2*d**2 - 3. Calculate m*z(f) - 3*u(f).\nAnswer: -f**3 - 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v - 146 = 4*v + 3*t + 70, -15*v + 343 = -5*t - 47 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -36*a + 1. Let c(p) = 37*p. Let v(t) = 6*c(t) + 5*x(t). Is v(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2457290 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 52 - 32 = 0. Does 28 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5758*j*n**3 - 17172*j + 53913140*n**3 + 2 wrt j?\nAnswer: -5758*n**3 - 17172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jxf when three letters picked without replacement from {f: 2, j: 3, p: 2, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 246 or 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 65\/77 + -3\/11. Let w be (1\/(-14) + 3\/(-21))\/((-129)\/(-172)). Which is the closest to -8?  (a) w  (b) 0.3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21 + -11112000210111?\nAnswer: -11112000210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -73*n**2 + 191*n**2 + 4837*n**2 + 4150*n**2 in the form r*n**2 + t*n + b and give r.\nAnswer: 9105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -61\/2 - -30. Let u be 1 + 2 - 1 - (-176 - -177). Let v = -2 + 1.9. What is the nearest to c in u, -20, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 4*f = h + 6, 0 = f - 4*h - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10\/(-20) - 14\/(-8))*-4. Let x = -0.1494 + 0.0494. Which is the nearest to x?  (a) h  (b) 5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 - (37 - 53 - (-3 + 35)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -129 in 13, -1\/4, 2, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -16*282.4\nAnswer: -4518.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -231454\/7 + 33064. Let x be (-12658)\/(-14365) - -1*2. Let w = -1\/845 - x. Calculate the common denominator of p and w.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2046\/(-155))\/(-22))\/((-3)\/(-130))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000196602329 rounded to seven dps?\nAnswer: -0.0001966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -184 + 203. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 699768887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/11, 0.1, 0.04, -14, 10?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 0 + (2 - (-12 - (-9 + 0)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -9\/686 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1003*u - 22184 = -65313 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -96180.6 - -96182. Let n(t) = t**2 - 5*t - 4. Let z be n(6). Which is the third smallest value?  (a) f  (b) 2\/9  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 2*l**2 + 3*l - 2. Let v(c) = -c**3 + c**2 + 2*c - 2. Let k(z) = 3*r(z) - 4*v(z). Give k(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 0.4, 12, 4 in ascending order.\nAnswer: -0.5, 0.4, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26 (base 7) to base 13.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*i**2 + 23*i - 43*i + 4 + 19*i to the form l*i + d + x*i**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -12*q - 1. Suppose a - 5*a - 16 = 0. Let u(m) = 3*m**2 + 10*m + 4. What is the remainder when b(a) is divided by u(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -703281272 and 12794.\nAnswer: -703268478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/((-18)\/43) + 4\/(-24). Let z be ((-2)\/t + 5\/(-7))*-1. Is (-8)\/(-52) + (15962\/13 - z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in 3\/2, -13704, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**0*q\/q**(2\/11))\/(q**2\/q*q\/(q**6\/q*q*q)))**(-12\/11) assuming q is positive.\nAnswer: q**(-900\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 PM and 2:51 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -16*o. Let u(t) = 22*t. Calculate q(u(f)).\nAnswer: -352*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -231551040*k + 231551040*k - 35*k**3.\nAnswer: -35*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*y**2 + 4144*y + 1073296 = 0. What is y?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 94181\/4656 + -323\/16. Find the common denominator of t and 23\/15.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.5 - 1. Let l = -3 + h. Let p = -4.249 + 4.169. Which is the second smallest value?  (a) p  (b) 2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.4, -0.5, 111, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5  (b) -4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9833*j**3*n**2 - j**3 + 3934*j**2*n**2 wrt j?\nAnswer: -58998*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 - 4658*p - 53038.\nAnswer: -2*(p + 1153)*(2*p + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265*l - 244*l - 42 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 - 12*u + 14. Let j be b(11). Suppose j*c - s = -2*c + 10, -3*s + 15 = 0. Suppose 0 = -o - c*o + 160. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**2 + 15*c - 10. Calculate f(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.7 + -1. Let z = -0.8 - -1. Let n = 0.805 + -0.905. What is the closest to n in 2, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -4\/9, 5, 0.4, 4, 3, -35409?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.96 + 0.04. Let m = -43 + 77. Let x = -33.8 + m. Sort r, x, -4 in descending order.\nAnswer: r, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 less than -17683281430?\nAnswer: -17683281424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 104.822 + -251.81404. Let p = y - -147. What is p rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -660.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5915?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13909 - -4.\nAnswer: -13905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, q: 5, e: 2, b: 6, m: 1}. What is prob of picking 2 q and 1 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 75 = 5*g - 40, 3*g = -5*r - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 1) + 6 + -5 + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 85391338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 50 and 1525395?\nAnswer: 15253950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 4*j**3 + 8*j - 4. Let u(b) = 4*b**3 + 10*b - 3. Give -9*p(o) + 8*u(o).\nAnswer: -4*o**3 + 8*o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (6 - 4 - 3)\/1 + 11 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 933634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -322647, -322648, -322649, -322650, -322651?\n\"Answer: -z - 322646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 22576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3\/6)\/((-11)\/(-66)))\/((-1)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -52906 - x**2 + 52906 - 8*x = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -123*d - 146. Suppose -2*t = -4*p + 2, 3*t - 4*p = -2*t - 23. What are the prime factors of b(t)?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o + 10. Let s(m) be the second derivative of m**3\/6 - m**2\/2 - 88*m + 9. What is -j(d) - 5*s(d)?\nAnswer: -7*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j + 3*j**3 - 4*j**3 + 727 + 39.\nAnswer: -j**3 + 2*j + 766","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -7986, -7967, -7920, -7833, -7694, -7491, -7212, -6845?\n\"Answer: 2*g**3 + 2*g**2 - g - 7989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Express -5*c + 5*c**2 + 706042*c**3 + c - 706091*c**3 as m*c + w + y*c**3 + q*c**2 and give y.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 17  (b) -1\/4  (c) 0.942  (d) -5  (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*0.133.\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**18)**(42\/5) assuming z is positive.\nAnswer: z**(756\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b + 85. Determine k(12).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/(-25)*(-22)\/132*8?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.123 - -3.877. Suppose 3 = 5*u + 8. Which is the closest to -1?  (a) f  (b) -5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -42 + 47. Solve 2*n = 3*m + 25, n - 3*n - w*m = 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23150546.\nAnswer: 2, 11575273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 192 + -190.99. Let f = w - 0.01. Let v = -0.4 + 0.2. What is the second smallest value in v, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-33)\/(-20)*1276\/174. Let s = -479\/40 + m. Factor 25\/2 + s*a**2 + 5\/2*a.\nAnswer: (a + 10)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -284, -2285, -7710, -18269, -35672, -61629, -97850, -146045?\n\"Answer: -285*l**3 - 2*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of 9\/32*a**4 - 38 - 7\/3*a**3 + 57\/16*a**2 - 5\/4*a. Factor o(w).\nAnswer: (w - 5)*(w - 1)*(9*w - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 43400?  (a) 4  (b) 0.6  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**2 + 4*n - 6. Give v(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (1\/((-336)\/(-74)))\/(39\/(-78)) and 113\/96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 6, r: 1, d: 9, i: 1}. What is prob of sequence rdd?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of -k**5\/60 - k**4\/3 - k**3\/6 + 4*k**2. Let q be y(-6). Suppose q = 4*m + 2*a - 11, 3 = a. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -5*q - 12. Let s be x(-8). Let d = 4\/23 - 13\/207. What is the common denominator of d and (-97)\/(-28) + 7\/s?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 323 = -244. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 77 and 1526?\nAnswer: 16786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3380.06122 - -3380. What is k rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = 2*u - 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1131 = -4*d - 9*d. Let c = d + -85. Solve w = 3*w + c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 17 in -1\/2, 0.3, 2\/21, 1\/39, 3, 56\/5?\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25895*x - 1885*x + 29667*x - 1878*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -56*u - 3*u**2 + 56*u + (2*u - 2*u - u**2)*(-6 + 0 + 4) + 4*u - 4*u + 2*u**2 - 2*u**2 + 0*u**2 + 3*u**2 + (0*u + 5*u + 0*u)*(4*u - 11*u - u + 6*u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 20 = -2*u, -4*q = -131*u + 126*u - 77 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 56515241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, f: 4, b: 3, r: 2, j: 6, i: 2}. What is prob of sequence irri?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*i + 18 + 17. Suppose 0*x - 5*x = -5*b + 140, -i*b + 144 = -3*x. Let r(c) = 2*c**2 - 8*c + 8. What is the lowest common multiple of r(4) and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of -m**5\/60 - 11*m**4\/24 - 5*m**2\/2 - 3. Let o(w) be the second derivative of p(w). What are the prime factors of o(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 1\/9001752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 + z + 0)*(-5*z - 14*z - 10*z) + 0*z**2 + z**2 + 2*z**2)*(-3 - 1 + 2) to the form m + p*z + f*z**2 and give f.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -8. Solve -w*d - 25 = 4*c, -5*d + 0*c - 23 = 2*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 395 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 584 a factor of 32418567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*-2 + (-6)\/(-4). Let w be 4 + -2 - 16\/7. Let k = 2338\/13 - 180. What is the closest to z in k, -1\/3, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 358 + -355. Sort x, -1, -85, 1 in increasing order.\nAnswer: -85, -1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j + 3*j - 4678*j**2 + 2 + 4608*j**2 to the form n*j**2 + w + f*j and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -62*i + 251*i + 106*i - 10*i in the form g*i + s and give g.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16397 is divided by 144.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 9 = -4. Suppose -3*i + 2*m + 9 = 0, 2*i = -j*m + 3 + 3. Let x(l) = -l**3 + 4*l**2 - l - 1. What is x(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.4, 2\/45, -966579?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -115647 and 3?\nAnswer: -346941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/5)\/(5\/(-25)). Let d(f) = f**3 - 6*f**2 - 5*f - 9. Let u be d(7). Suppose u*j = r - 4*r + 28, 0 = -3*j - o*r + 19. Solve -j*t + 1 = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3179364.3 rounded to the nearest one thousand?\nAnswer: 3179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of -m**4\/24 + m**2. Suppose 6*n - 2*n - 4 = 0. Let b(l) = 1 - l - n. Calculate g(b(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 946.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 182*m**2*r**2 + 85844*m**2 + 10*m + 1553*r**2 with respect to r.\nAnswer: 364*m**2*r + 3106*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 11.165358 nanoseconds?\nAnswer: 0.0000000001860893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2. Let n(m) = -709*m - 2. Calculate n(h) - o(h).\nAnswer: -709*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -3*a**3 - a**2 + 88*a - 1550. Determine m(0).\nAnswer: -1550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9009 by 21.\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1600645*d**2 - 1644887*d?\nAnswer: -3201290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 335711 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kbbkkokjokojooaqkjqq. Give prob of picking 1 q, 2 j, and 1 o.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(171) - -1*sqrt(19)*-5.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*m + 142 + 367 = -511 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: 54 (base 9) to base 3\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3*m + 23 = 0, l - 3*m = -4*m + 39. Suppose 2*h - 5*i - 12 = 23, -4*h + 3*i + l = 0. Solve 2*g = c + 1, -h*c = 3*g - 3*c + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 425 > 851\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.2  (b) -8  (c) 5\/3  (d) -0.04  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 955, 4, -2, 2, -1 in ascending order.\nAnswer: -3, -2, -1, 2, 4, 955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -852.5661318 + 0.6479318. Let q = w - -852. Round q to three decimal places.\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5920 and 22378340.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 12:53 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -49*p**5\/3 - 18788*p**4\/3 + 874427*p**3 - 11640352*p**2\/3 + 6010948*p\/3 - 276080 = 0.\nAnswer: -493, 2\/7, 4, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*5\/(40\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-3) - (-2)\/(-6). Let s = 0.178 + -0.378. Which is the second smallest value?  (a) -2  (b) z  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(5\/3)*w)\/(w\/w**(-2\/5))*w**3*w*w**(-6))**(-6\/29) assuming w is positive.\nAnswer: w**(22\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -498\/161 + 3265\/483. Let -l - 4*w - 1\/3*w**2 = 0. Calculate w.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 381 - 765 - 3*g + 383. Let o(q) = q. Suppose -x = -6*x + 40. Determine x*o(h) + 3*i(h).\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 206094 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 31*r**2 - 7 + 12 - 3.\nAnswer: -31*r**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + (-75)\/1380*(-317)\/5. Let v = z - -1169\/138. Calculate the common denominator of -95\/54 and v.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -755*204\nAnswer: -154020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*x - 42028 = -11*x. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*((-12)\/9)\/(-4). Let u = -33 - -33. Factor u - i*n**2 + 0*n.\nAnswer: -n**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of -9*o**3 - 26. Let d(r) = -r - 6. Let p(g) = -2*g - 11. Let i(j) = 11*d(j) - 6*p(j). Determine u(i(k)).\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -860 != 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 1.849  (b) 12  (c) -20.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -292937 divided by -425\nAnswer: 292937\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 1272 = -2664. What is the remainder when m is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -262 in -0.4, 7, -3, 3.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**3 + 0*c**3 - 3*c**3)*(-6356259 + 6356259 - 585*c**2).\nAnswer: 585*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18\/162 - 34\/(-18). Solve -8 = 2*f + s*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 93117 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 - 0 - (23 - -13). Let h = p - -34. Factor -6*f + 3*f**2 - 6*f - f**h - 9 + 4*f**3 - f**4.\nAnswer: -(f - 3)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.7, -0.07, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1629623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dzxxdzzddxzzzddzzlz. Give prob of picking 1 l and 2 z.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 - 8*z**2 - 10*z + 5. Suppose 3*h - 7*h = -40. What is the tens digit of y(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -2*u - 4*d + 11, 5*u + 3*d - 18 = 0. Let g(q) be the first derivative of -2\/15*q**u + 1\/5*q**2 + 0*q + 6 + 2\/25*q**5 - 1\/10*q**4. Factor g(k).\nAnswer: 2*k*(k - 1)**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of -8*f**3\/3 - 21. Let i(a) = 2*a**2. What is s(i(q))?\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**3 + 2*t - 2*t)*(3*t + 7 - 7 + (t + t - 4*t)*(-5 + 2 + 1) - 4*t + 3*t + 0*t - 5*t + t + 3*t) + 3*t**4 - 5*t**4 + 3*t**4.\nAnswer: 11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1372.8 + 1372.7. Let l = 20\/99 + 2\/99. Put 0.14, j, l in decreasing order.\nAnswer: l, 0.14, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of -7*i + 0 + 0*i**2 + 1\/6*i**4 + 0*i**3. Let x(w) = -w**2. Determine h(x(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 8) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 3*q**2 + 135*q - 182. What is the lowest common multiple of s(-47) and 168?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 903604 = -853*u - 4094*u - 5020*u + 116211 for u.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -30*d**3 + 16*d**2 - 8*d - 92. Let z(g) = 3*g**3 - 2*g**2 + g + 10. Let t(h) = -u(h) - 8*z(h). Let k(c) = -c**3 + 1. Calculate 4*k(y) + t(y).\nAnswer: 2*y**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkyyky. What is prob of picking 2 y and 1 k?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - d = -200. Let p = d - -27. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(162)*2 + 5*2*sqrt(162) - (0 + -5*(sqrt(162) + 4*(1*sqrt(162) + sqrt(162) + sqrt(162)) - sqrt(162))))**2*5.\nAnswer: 3745440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/9))**(-1\/49)*(w\/(w**(-1\/2)\/w))**(-33) assuming w is positive.\nAnswer: w**(-72769\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 - 7*n**2 + 12*n. Let y(x) = -3*x - 7. Let j be y(-4). What is the least common multiple of 10 and b(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25451 - -25449. Sort u, 129, 2 in ascending order.\nAnswer: u, 2, 129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 13810*a**3 + 7093*a - 11. Let c(s) = -11048*s**3 - 5674*s + 9. Let x(y) = -11*c(y) - 9*u(y). What is the second derivative of x(n) wrt n?\nAnswer: -16572*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1091 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 37 = -3*o. Let m be (4 + -1)*1 + o. Let a = m - -5. Sort a, 0, -5 in ascending order.\nAnswer: -5, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - -11434?\nAnswer: 11437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 51 and 4971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 11:48 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v + 64. Let x = -3 - -3. What is the tens digit of j(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -50.307 - -50.1. Let w = -151.897 + 136.79. Let q = n - w. What is q rounded to 0 dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 141325648.07999924 - 141325269.08. Let l = i + -379. What is l rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15.03 + 15.04. Let x = 7 - 8. Which is the closest to -0.1?  (a) x  (b) 0.03  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -127*j - 7. Let x be g(-2). Calculate the greatest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1199351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**3 - 116*c**2 - 1426*c + 7688.\nAnswer: -2*(c - 4)*(c + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 AM and 5:59 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - -18. Let l = -18 + g. Suppose -d = -l*d + 21. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 42821*s**2 - 13553 wrt s?\nAnswer: 85642*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 167.5881 to zero decimal places.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 413 or 3724\/9?\nAnswer: 3724\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -8*q**3 + 3*q**2 + 5*q. Let m(y) = 4*y**3 - 2*y**2 - 3*y. Suppose 0 = -5*c - 15, 0 = 5*w - w + 5*c + 27. Determine w*i(l) - 5*m(l).\nAnswer: 4*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -58*t**3 + 17*t**2 + 28*t - 4. Let v(r) = r**3 - 5*r**2. Let h(n) = s(n) + 3*v(n). Find the second derivative of h(z) wrt z.\nAnswer: -330*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2945, -3060, -3189, -3338, -3513, -3720, -3965?\n\"Answer: -w**3 - w**2 - 105*w - 2838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4, -11, -7, -3 in decreasing order.\nAnswer: 4, -1, -3, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 136512856615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 - 5*b**2 + 4. Let s be a(5). Suppose s*l + 3 = 7. Round l to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2*sqrt(2205))\/((2*sqrt(108) + sqrt(108))\/sqrt(12)).\nAnswer: -70*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 107631483469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 456*d**2 + 20*d - 14. Let k(s) = -152*s**2 - 6*s + 5. Let g(q) = -11*k(q) - 4*l(q). What is the second derivative of g(w) wrt w?\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 8.4. Let y = 0.6 + m. Let h = -37 + 32. Which is the second biggest value?  (a) y  (b) h  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 22\/77*(16 - 2). Let x(z) = 47*z - 2. List the prime factors of x(r).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10587184.77 to the nearest 1000.\nAnswer: -10587000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/45 + 1348382\/210 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4230*m + 1380*m + 1425*m - 546*m**2 + 1425*m.\nAnswer: -546*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2819 - 1902. Suppose s - 21 = 2*l. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 121290627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3934*z - 3945*z - 132 = 0. Let v(g) = -6*g**2 - 6*g**2 - 1 + 4 - g**3. Calculate v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 13) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3907 is divided by 230?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -436 - -41c26?\nAnswer: 417c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0*-480\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*d - 259 = -268 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -26*v + 150. Let d be p(6). Sort 4, d, 17 in increasing order.\nAnswer: d, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - r = -3. Let z be (-1)\/4 - r\/(-2). Which is bigger: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5979614*d + 13110327.\nAnswer: -5979614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 1 = -x + 10, 0 = 4*x + 4*i - 48. Let z(m) = m**2 - 12*m + 15. Let g be z(x). Suppose h + h = g. Calculate the remainder when h is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0514516 * -0.2.\nAnswer: 0.01029032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5464*l + 5538*l + 222 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1323 (base 5) to base 2.\nAnswer: 11010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggggfbgflgfzgllgg.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 33357951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - -33. Suppose -107 - k = -8*m. Solve -4*l - m = -4*x + 2, -4*x - 3*l = -20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 5*y - 32. Let m be z(7). Suppose -5*q + 3*r + 2 = 0, m*r = 2*q - 0 + 1. Solve -u = -2*f - 12, -5 = -2*u - q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - -1)*-1 + 9. Let y(v) = -2*v. Let z(i) = -i. Let q(g) = l*y(g) - 11*z(g). Let n(a) = 0*a - a - 5*a + 1. Determine -n(k) + 4*q(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 166691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000201432 rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8628, -17254, -25880, -34506, -43132?\nAnswer: -51758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 9, l: 9}. Give prob of picking 2 s.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1198118 + 1198118 - 2*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 - 2\/(-4)*2. What is the units digit of q - (4 + -2) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (6 - 14) + 2\/(-4)*-16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -206628*j + 206632*j = 4*a - 136, 4*a - 136 = 5*j for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 138 a factor of 23931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*j - 3*j. Let t(b) = 1. Let n(z) = -2*z + 10. Calculate j*n(x) - 12*t(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4*z - 4 = 0, 6*t - t - 50 = -5*z. Let n(q) = -q**3 + 5*q**2 + 6*q - 5. Calculate n(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 2040297965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8517 and 1593681?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5400 - 5316. Let k = -23 - -47. What is the greatest common factor of k and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15926.4804 to the nearest one hundred.\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of o**6\/120 + o**5\/60 + o**4\/12 + o**3\/6 + 3*o**2. Let g be m(-3). Let t = 22 + g. Let l(q) = 6*q. What is l(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(16\/(-440)*30\/12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/s**13*s)\/(s\/s**20*s))\/((s*s*s**(-8))\/s**0) assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*20.62.\nAnswer: 82.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5055 is divided by 2372.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 70, 2, -17, -95, -5 in ascending order.\nAnswer: -95, -17, -5, 2, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -218*h - 3529 = 1074*h - 46165 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*t - 36*t - 1008 = 448*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 74420287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -239999 + (2\/(-2))\/1. What is l rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 14*k - k + 0*k - 5*k. Let b(r) = -50*r - 1. Determine p(b(z)).\nAnswer: -400*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -59*k + 53*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -1) + -3 + 0 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 19*a**2 + 17*a - 12. Let y be c(18). Calculate the common denominator of 1 + -4 - 125\/y and 27\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -77 + 75. Let h(x) = -2*x**3 - x**2 + 5*x + 3. Let t be h(k). Suppose -t*r + 526 = 66. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -71*l - 11. Let y = 25 - 27. Is r(y) 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 1439 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 90 - 107. Let g(i) = -2*i + 4. What is the remainder when 134\/(x\/((-204)\/8)) is divided by g(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 31 + 5394?\nAnswer: 5425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-18) - (-2)\/((-18)\/(-965)). Let m = q + 6. List the prime factors of m.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 52*p - 157. What are the prime factors of u(29)?\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 75. Let n(v) = -914*v - 220. Give -3*h(d) - n(d).\nAnswer: 914*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -29127751 or -29127750?\nAnswer: -29127750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 4490 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 1, -36, 4 in descending order.\nAnswer: 5, 4, 1, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 - (-422744)\/(-142) - -1. Let r = g - -2976. Let q = 87\/781 - r. Which is the closest to 1?  (a) q  (b) 5  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(((h**0*h)\/h)\/h)*h*h*((h\/(h*h\/h**0)*h)\/h)\/h*(h*h**(-3\/4)*h*h)\/h**(-1\/2) assuming h is positive.\nAnswer: h**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22084, -44253, -66418, -88579, -110736, -132889, -155038?\nAnswer: -177183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 - 8*r**2 - 5*r - 32. Let l be w(9). Let d(v) = -2. Let x = -2 - -5. Let m(a) = -a + 2. Let b(t) = x*d(t) + 4*m(t). Calculate b(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -3\/7, -1, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -116 - -116.1. Let b be (0 + 2)*2\/16. What is the closest to 0 in b, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i - 513 - 14*i + 7*i - 5*i to the form b + c*i and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -390735*m. Let j(o) = o**2. What is v(j(y))?\nAnswer: -390735*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of 0 - 2*y**3 + 25*y + 1\/2*y**2. Determine q(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 10536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - -13) + -7 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 - 32. Put 3, 5, x in decreasing order.\nAnswer: 5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9ba (base 12) to base 5\nAnswer: 21223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 342541631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1685\/674)\/(45\/6)*435\/5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (5 - 5) - 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 392, 1578, 3554, 6320, 9876, 14222, 19358?\n\"Answer: 395*c**2 + c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35392?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 5635*g - 16899. Determine m(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2 + 3008*w - 2262016.\nAnswer: -(w - 1504)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - (-14)\/4)\/(24\/(-6)). Let j = 48 - 48.28. Let u = -1.72 + j. What is the nearest to 0 in v, -2\/15, u?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14986 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1488 + -84841\/57. Let o = 1\/3 + h. Which is the closest to 2\/5?  (a) 3  (b) o  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*l - 32*l - 35 = 0. Suppose p - 2*y - 562 + 132 = 0, 2*p - 855 = l*y. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*l**3 - 1832*l + 1840*l - l**3 + 3*l**3.\nAnswer: 33*l**3 + 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-44))\/((-69)\/(-1518)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 4 + 14. Let y = j + 61. Calculate the remainder when y is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 222456 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 144 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 87 + 81. Let m = u - 41. Solve o + t = -2*o + m, o + 5*t = 19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 54 and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -406\/295 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3394151575?\nAnswer: 5, 17, 151, 52889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 PM and 8:24 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1\/3)\/(3\/153)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-1 + sqrt(76) + -2 + -1 + 2 + sqrt(76))*-1*-1)**2 + -5.\nAnswer: -144*sqrt(19) + 2767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.3, 0.5, 0.13, -0.2, 1.133, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 50 and 20\/15*60\/8?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 230 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -6*z**3 - z. Let d be m(1). Find the common denominator of 2\/d + (-146)\/(-70) and -57\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2264026 by -1.\nAnswer: -2264026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 12 = 7*f. Suppose -5*h = f*m - 12, 2*m - 12 = -4*h + 3*h. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-2))\/(((-15433)\/(-276))\/(-61)).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -2*a + 50, -30*a - 2*m - 63 = -33*a. Suppose 0 = a*u + 2 - 78. Find p such that -2\/7 + 1\/7*p - 1\/7*p**u - 1\/7*p**3 + 3\/7*p**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z = -3*z + 3640. Suppose 0*p + 66 = o - 3*p, -4*o + 4*p + z = 0. Round o to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a year in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1497 and -361757.\nAnswer: 541550229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4\/22 + 152\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -180*z - 15 = -175*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, g: 5}. Give prob of sequence gpg.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24 + 72. Suppose 3*y = -24 + p. Calculate the least common multiple of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 34  (b) -1  (c) -0.257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 - 28*n**2 - 59*n - 23. Let i be ((-1805)\/(-12))\/5 - (3 - (-385)\/(-132)). Calculate f(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 3 + 1)*(0 - h + 0) + (2 - 5 - 5)*(3 - 3 + h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 3032 divide 28552101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -2*j**2 + 6*j - 6. Let p(w) = -2*w**2 + 5*w - 5. Suppose 36 = -39*s + 33*s. Suppose -4*q + 18 = 2*o, 0 = -4*o - q - 0*q + 22. Give o*m(g) + s*p(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of n**4\/6 - n**3\/6 + 2*n**2 - 8*n. Let b be g(4). What is the highest common divisor of b and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1286250865?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -20*n**3 + 3*n**2 - 726 with respect to n.\nAnswer: -60*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7654, -7655, -7656?\nAnswer: -7657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000233076822 rounded to 6 dps?\nAnswer: -0.000233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 157\/862092 and 73\/1532608.\nAnswer: 13793472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 30184777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-96)*9)\/((360\/(-32))\/(-5))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -3, -11 in descending order.\nAnswer: 5, 2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 5. Let o be 136\/(-60)*(-222)\/(-8). Let t = 63 + o. Which is the biggest value?  (a) t  (b) -3\/4  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(325) + -1 + sqrt(325))**2 + sqrt(13) + 1 + 0 + sqrt(13).\nAnswer: -18*sqrt(13) + 1302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21 and 106\/34 - (1 + 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -110720850\nAnswer: 1\/55360425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1525a7 - -9?\nAnswer: 1525b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 3*j + 31 = 0. Suppose 0 = 2*s - s - j. 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 the greatest common divisor of 7162039 and 3059?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1100*f**5 + 6*f + 30 wrt f.\nAnswer: 22000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*(32\/4)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20326?\nAnswer: 2, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*2*((3*(-1 + sqrt(500)) + sqrt(500))*3 - ((sqrt(500) + (sqrt(500) + sqrt(500) + -1)*2 - sqrt(500)) + 5)))**2.\nAnswer: -192000*sqrt(5) + 3214400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 325 - 350 = 5*l, 15 = -5*n - 3*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**0)**(-4\/5)\/(o**(-1))**(11\/5) assuming o is positive.\nAnswer: o**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/167412551 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20585.16t to kilograms.\nAnswer: 20585160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.680553 nanometers to micrometers.\nAnswer: 0.005680553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 15 = -9. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 AM and 10:17 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - 0. Let c be (2\/r)\/((-2)\/15). Suppose 21 = 4*t - d, c*d = 5*t - 2*t - 37. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (539\/14)\/(1\/2). Let m be 58\/7 - 22\/d. Suppose -9*r = -m*r - 205. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 174, 263, 414, 627, 902, 1239?\nAnswer: 1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2817?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 112734 or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 81346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*v - 93 - 167 = 0. Let f = 9 + 1. What is the smallest common multiple of v and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the second derivative of 0 - 1\/30*z**6 - 11\/20*z**5 - 83\/6*z**3 + 0*z**4 + 5*z + 0*z**2. Find the second derivative of d(r) wrt r.\nAnswer: -12*r**2 - 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/45 in -0.25, -2, -0.06, 482\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 37*u**5 + u**4 - 148*u**2.\nAnswer: 2220*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 7671*s**2 + 150*s + 49. Is v(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 3*r - 6)*(-4*r - 2*r + 3*r + (1 - 1 + r)*(6 - 1 + 11)).\nAnswer: 39*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {v: 1, o: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 5, -3, -11?\n\"Answer: -8*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 130202 by -65101.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) + sqrt(70) + (sqrt(70) - (sqrt(70) + 2*sqrt(70))*-1 - sqrt(70)) + sqrt(70))\/sqrt(10) - ((sqrt(175)*-5)**2 + sqrt(175))*4.\nAnswer: -17500 - 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*h + 44 + 19 - 3 + 19 + 5.\nAnswer: 52*h + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16.2189519 + -9.2.\nAnswer: -25.4189519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 113 is divided by (-4)\/((-12)\/129) + -4.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 2, -4, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 277521 is divided by 237.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28702*g**3 + 5*g**5 + 210*g**4 - 541*g**2 - 5400 + 27997*g**3 - 669*g**2 + 6180*g.\nAnswer: 5*(g - 2)**3*(g + 3)*(g + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 - z + 4. Let w be i(0). Suppose 4*l + 20 = 0, -20 = w*d + 4*l - 4. Is 3 + 2 + d + 109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 6 + 3 + 6 + 2 + 12*y - 6 + y**2. Calculate a(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*b + 2*j - 8616, -b + 3*j + 67 + 1036 = 0. What is the greatest common factor of b and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (-1 + -1)) + (15 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(2*sqrt(40) - sqrt(40)))\/(sqrt(8)*1 - sqrt(2)))\/((sqrt(2304)*2 + sqrt(2304) - sqrt(2304))\/(sqrt(576) + (sqrt(576) - -2*sqrt(576)) - sqrt(9))).\nAnswer: 31*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -4*g + 118. Let o be r(29). Solve o*n - 3*v - 15 = n, -2*v = 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*h + 17*h + 20. Let k(j) = 14*j - 3. Let s(p) = 14*p - 3. Let v(g) = 3*k(g) - 2*s(g). Is v(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 31 = 2*a, 2*u - 138*a - 24 = -136*a for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (5*1*(sqrt(6655)*-1 - sqrt(6655)))\/(-3*(sqrt(80) - (sqrt(80) - -2*sqrt(80))) + 5*1*sqrt(80)).\nAnswer: -5*sqrt(11)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 5*p + 10 = 0, 2 = 104*y - 109*y - p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 333595, 667187, 1000777, 1334365, 1667951, 2001535?\nAnswer: 2335117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2260*j + 2295*j - 105 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 AM and 8:16 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r - 1. Let u(m) = m**2 - 5*m - 4. Let d(x) = -5*f(x) + u(x). Let k be d(1). Suppose -225*l = -230*l - 2*b + 27, l + 3*b = 8. Solve k = -q + l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*f + 2 - 2)*(f**3 + 15*f**3 + 5*f**3) + 2*f**2 - 2*f**2 + 2 + f**4 as b*f + r*f**4 + t + c*f**3 + m*f**2 and give r.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86 = 2*n + 300. Let f = 5 - n. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5419 - 5149 = -30*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 146, 161, 190, 239, 314, 421, 566, 755?\n\"Answer: p**3 + p**2 + 5*p + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.159 + 0.23. Let n = d - 0.0710021. What is n rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 185, 101, 17?\n\"Answer: -84*r + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*z - 29*z + 3*a = -5, -z = 3*a + 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -72*f**3 + 10*f**2 - 192*f + 192. What is l(1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -u**3\/12 - 1313*u**2\/4 + 9857*u\/6 - 1972 = 0.\nAnswer: -3944, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 - 3)*(-18*a**2 + 17*a**2 + 23*a**2).\nAnswer: 66*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -106 at least as big as -423\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3706 + 11164\/3. What is the common denominator of s and 8\/18 + (-3)\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -10\/13, 0.3, -11\/2, -2\/667?\nAnswer: -2\/667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 0.188, -130.5?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 116869545 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/42 and 89\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -564 divided by 94\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -0*j + 8. Suppose -2*o - b - j*b = -54, -3*o - 3*b = -87. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 3*y + 4*r, 2*y - 8 = 2*r - 0*r. Suppose a - 642 = -5*w, -264 = -y*w + 3*w - 4*a. Suppose 756 - w = 4*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(208) + sqrt(208) + -1)**2 + (2 + (sqrt(13) - sqrt(13)*2))**2.\nAnswer: -20*sqrt(13) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 4 - 9 = 0. Suppose -r*w + 6 = -4. Suppose 18 = w*p - 8. What is the remainder when 37 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 75\/868 and -22\/21.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.524 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3\/3 + 17*i**2\/3 - 52*i\/3 + 11.\nAnswer: (i - 1)*(i + 11)*(2*i - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - -37a377?\nAnswer: 37a373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133*m - 3584 = 113*m - 22*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-3)*(-6)\/4. Let b be 0 + (-2)\/i + 2. Does 11 divide (-86)\/(-4) + 2\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*d - 88 - 286 = 0 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 922 = -3*h + 94. Let u = h + 12974\/47. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2300.44mm to micrometers.\nAnswer: 2300440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {o: 3, u: 4, n: 1, d: 2, h: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*s = 410 - 554 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + 11*t**2 - 6*t + 8. Calculate j(5).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + v + 5 = 0, 3*a + 28673*v = 28668*v + 27 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2022112 - 1110?\nAnswer: -2100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00821246517 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 178 and -7612?\nAnswer: -1354936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(5*-1*sqrt(2) + 1))**2 + 0 + ((sqrt(288)*-1 + sqrt(288))*-1 + sqrt(288))\/(sqrt(9) - sqrt(144)*-2).\nAnswer: -2246*sqrt(2)\/9 + 1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - 0)*(12 - 327). Find the second derivative of -p*o**3 + 17*o**4 + 315*o**3 + 13*o + o**4 wrt o.\nAnswer: 216*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.517968 grams in milligrams?\nAnswer: 8517.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/5 and (-11)\/(-4) + -3 - 2255\/(-132)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*-1 + (-5)\/(-5) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -43.762973 to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p + 8. Let o be r(-4). Determine k, given that 1\/2*k**3 + 0 - 1\/2*k**2 + 1\/2*k**4 + o*k - 1\/2*k**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -342 (base 9) in base 12?\nAnswer: -1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i = 13*i + 116. Let o = -6\/1517 - 125839\/18204. Find the common denominator of 285\/(-36) + 6 + i and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 990 a factor of 997152451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/76850386 and 77\/26?\nAnswer: 999055018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + -74916232?\nAnswer: -74916235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u. Let r(p) be the third derivative of -p**5\/30 + 2*p**3 - 6*p**2. Let y(l) be the first derivative of r(l). Calculate o(y(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*s + 5*s. Let f = 5691\/437 + -2676421\/220248. Let r = f + -1\/72. Which is the nearest to 0?  (a) s  (b) r  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -25\/12  (b) 5  (c) -7  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -18295603*d**4 - 18920112*d**2?\nAnswer: -439094472*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3125 is divided by 780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (29*j + 23*j - 2*j)*((-2 + 0 + 4)*(-3*j**3 + j**3 - j**3) - 45*j**3 + 36*j**3 - 26*j**3) to p + o*j + l*j**2 + r*j**4 + g*j**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -70654, -70653, -70652, -70651, -70650, -70649?\n\"Answer: o - 70655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 120629 and -11434.\nAnswer: 109195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 4*a. Let w be x(2). What is the first derivative of -w*y**2 + 8*y**2 - 13 - 12 - 18*y**3 wrt y?\nAnswer: -54*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 5 = -f, 0*f - 5*r = -4*f + 20. Solve -35 = -f*a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/70 and 59\/55.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of b**6\/40 + 23*b**5\/4 - 237*b**4\/8 - 351*b**3\/2 - 5*b**2 + 10*b + 29. Let a(u) = 0. What is u?\nAnswer: -117, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 + 11*g - 1. Let k be w(-11). Let x = k + 15. What is the lowest common multiple of 8 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 26.041, -5, -1.1, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 138 and 21666?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -11*c**3 + 1. Is 8 a factor of u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -c - 104, -z - 2*z + c + 314 = 0. Calculate the remainder when z is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 4*p**2 + 1920*p - 4100. Calculate u(-482).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26316 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 10000010110?\nAnswer: 10000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 2*j - 5*j - 100, -144 = -5*i - j. Suppose 0 = 3*v - 4*l + 5 - i, -5*v = 4*l + 15. Which is the biggest value?  (a) -2  (b) -1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -270*g + 11. Is u(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (-2 - (-3 + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-20)\/(-6) + (-2)\/(-3). Suppose -q*z = -0*z - 320. What is the greatest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6470276, -25881136, -58232576, -103524596?\n\"Answer: -6470290*g**2 + 10*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1636979 is divided by 818489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is 406 divided by -1322?\nAnswer: -203\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(14*1\/24))\/((-26841)\/250516).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2078.039 nanometers to meters.\nAnswer: 0.000002078039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 187130641 a multiple of 2027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 67 = 3*p, 215*y - 217*y - 5*p + 109 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*b**3 - 62634224*b**2 - 125268460*b - 62634232 = 0. What is b?\nAnswer: -1, 15658558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 7:29 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31794*f + 43006*f + 81903*f.\nAnswer: 93115*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + -2 + -13 - (5 - 8). Let g = 175457\/38 + -4617. Calculate the common denominator of 1\/(f\/124) - (-18 + 16) and g.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the second derivative of -l**5\/20 - 5*l**4\/6 - 955*l. Factor m(c).\nAnswer: -c**2*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -32599 + 32604. Solve -4 = a + l - z*l, -5*l + 14 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 54*m**3 - 381*m**2 + 176*m - 1079. Calculate s(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -12 + (-2 - (-5 - 0)). Let y = m - -12. What is the second derivative of 3*p**3 + 3*p**y - 7*p + 2*p**3 + 4*p wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1403121122 (base 5) in base 4?\nAnswer: -31212312331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -121112000102 (base 3) to base 5\nAnswer: -40401040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 438837.\nAnswer: 3, 7, 20897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2291921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1\/772 + 413\/20844. Let b(x) be the second derivative of -m*x**4 - 2*x - 2\/9*x**2 - 1\/9*x**3 + 0. Find w, given that b(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2\/5, 2\/61 in decreasing order.\nAnswer: 5, 2\/5, 2\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - 10145504?\nAnswer: -10145511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 7*w**2 + 6*w + 6. Let a be f(-6). Suppose 5*h + v + 29 = 0, -4*h + 4*v - 28 = a*v. Sort 1, h, 2, -8 in increasing order.\nAnswer: -8, h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -14*i + 7. Let w be h(-7). Suppose -141 - w = -3*p. List the prime factors of (-6)\/(-18) - p\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 5*p = -90. Let v be (43\/2)\/(-3 - (-35)\/p). Find the second derivative of -17*r + r**5 - 14*r + v*r**5 wrt r.\nAnswer: 880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 - 10*g - 8. Suppose 4*f + 28 = -4*o, -4*f + 3*o - 35 = -0*o. What are the prime factors of w(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5628*s + 2100?\nAnswer: -5628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2\/((-12)\/(-9)))\/(7\/((-708666)\/(-9))).\nAnswer: 47, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**5 - 16*p**4\/3 + 31*p**3\/3 + 64*p**2\/3 - 76*p\/3 = 0. Calculate p.\nAnswer: -19\/3, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(200) - sqrt(200)*-1) + sqrt(2))*-3)**2.\nAnswer: 7938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 730*s**4 - 47*s - 5 wrt s?\nAnswer: 8760*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**5 - 6*z**5 + z**5)*(0 - 3 + 4) + ((-1 + 1 - z)*(-2 + 0 - 1) - 2*z + 0*z + 0*z)*(-21*z**4 - 43*z**4 - 78*z**4).\nAnswer: -146*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the third derivative of 5*b**4\/24 - 7*b**3\/2 - 18*b**2. What is w(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + (-7)\/4)\/(4\/(-16)). Find the third derivative of 37*a**2 - 49*a**2 - 6*a**3 + 6*a**3 - f - 2*a**4 wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1728*j**3 + j**2 + 1723*j**3 - j**2.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.051387 and -40.\nAnswer: -2.05548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-22 - (0 - 0)) + (19343 - 19330)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 34929*f**2. Let t(z) = -2589*z. What is t(j(c))?\nAnswer: -90431181*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the second derivative of 1\/20*a**5 + 2\/9*a**4 + 2*a + 7\/18*a**3 + 1\/3*a**2 + 0. Factor z(q).\nAnswer: (q + 1)**2*(3*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 + 4. Let l be ((-18)\/8)\/((-21)\/a). Which is bigger: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 448.6101 microseconds to milliseconds.\nAnswer: 0.4486101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-2))\/3*(-1700)\/3825?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 6*n + 349 = 5*k, 0 = -5*k - 4*n + 329. Let g = k + -62. Let a(i) = 9 - g - 8 - 2*i. Calculate a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2057*l + 2048*l - 8221*l + 2053*l + 2052*l.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - p = 4*p + 32, -14 = 2*q - 4*p. Let o(v) = 5*v**2 + 56*v + 6. Let x be o(q). Which is the closest to 3?  (a) x  (b) -1\/2  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.7 + 0.5. Let q(b) = 11*b - 6*b**3 - 7*b + 6*b**2 - 3*b - 4*b**2. Let a be q(-1). What is the nearest to a in -1\/10, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(3\/33)*-4. Let j = i + -167\/4. What is the common denominator of j and -15\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3217 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 z, and 1 f when three letters picked without replacement from kjjkfjbvzzbkz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11788 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7673 - 15347 + 2*v + 7676.\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*q**2 + 0*q**4 - q**3 - 7*q**4 + q**3 wrt q?\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -3*d - 0*d + 216, -3*d + 234 = -u. Let q be -4 - -1 - 317\/(-4). Let f = q - d. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -416 - -222. Let l(a) = 39*a + 17. Let r be l(-8). Let b = f - r. What are the prime factors of b?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 356 + 179*n - 170 - 440 - 1190 wrt n?\nAnswer: 179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7627 (base 13) to base 16.\nAnswer: 402a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ro when two letters picked without replacement from rojoj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cet when three letters picked without replacement from tckhzte.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*(100\/(-96) - -1)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 10\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bqqbq. Give prob of picking 2 q and 1 b.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 108208247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 296521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 764482757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 + 2*y**2 + 7. Suppose -t + 0*t = 0. What is the units digit of c(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**3 + 2*r**3 + r**4 + (r**2 - r**2 - r**2)*(77*r**2 + 83*r**2 - 58 + 60).\nAnswer: -159*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(147) + 1 + sqrt(147))*-6)**2 + (sqrt(147) + (sqrt(147)*-1*-4)**2 + sqrt(147))*2.\nAnswer: 28*sqrt(3) + 4740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -23*r**2 - 22*r - 14. Let o(x) = -27*x**2 - 18*x - 12. What is 6*o(h) - 5*p(h)?\nAnswer: -47*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.38 - -0.88. Which is the nearest to -2\/5?  (a) -1  (b) k  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, r: 2, u: 6, k: 1}. Give prob of picking 1 r, 1 x, and 1 k.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26863451 is divided by 6715862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*r**2 + 3*r + 12 + 7*r**2 - 35*r**2 - 10 to the form j*r + k + f*r**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 270 and 321.618.\nAnswer: 86836.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.44612213 to 4 decimal places.\nAnswer: -1.4461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -298 divided by -253445?\nAnswer: 298\/253445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 2 = 0, 4*h - 355 - 18 = -3*g. What is the remainder when h is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3748?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3 * 0.0218\nAnswer: 0.0654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express r**3 - 2*r**2 - 13*r**4 + 3*r**3 - 3*r**3 - 17*r**4 in the form y*r**3 + x*r**4 + d*r + c*r**2 + f and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of -g**8\/6720 + g**7\/420 - g**6\/144 - g**5\/120 + g**4\/24 + g**2. Let p(u) be the second derivative of s(u). Calculate p(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 0*s**3 + 0*s**3 + 2*s - 578 - s**3 - 551 + 1679 - 548. Let y(i) = -i**2 - 7*i + 3. Let h be y(-7). Calculate o(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*i = -6, o = -2*o - 2*i + 6. Let k be 8\/2 - o - -16. Suppose -3*w = -26 + k. Solve 0 = -3*m + 2*q - 16, -2*m + 3*q - w*q - 10 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -241 - 272. Let t = n + 523. Which is the smallest value?  (a) t  (b) -0.5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 1 + (-1 - -17 - (136 + -127))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - (2 - (-4 + 2 + 6 + -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -z**6\/720 + z**5\/80 + z**3 - 3. Let o(d) be the third derivative of b(d). Determine x, given that o(x) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {x: 5, q: 1, h: 6, j: 6, r: 1}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5873?\nAnswer: 7, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/((348\/(-176) - -2)*2). Let x(i) = -12 - 9 + n - 25*i. Let y(b) = b**2. Let r(q) = 2*q**2. Let h(a) = 4*r(a) - 6*y(a). Determine h(x(g)).\nAnswer: 1250*g**2 - 100*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of c**9\/216 + c**5\/10 + 13*c**3\/3 + 1. Let j(x) be the third derivative of p(x). Find the second derivative of j(z) wrt z.\nAnswer: 280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 536d9 (base 15) to base 2.\nAnswer: 1000000101001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 418 - 949 - 1163 = 33*f + 55 for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 78341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09724 rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {z: 1, o: 1, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 185765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiiistttstii. Give prob of sequence tss.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 - 9*x**2 - 9*x - 1. Let w be d(-8). Solve s + 6*s + w = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 12 = 0, -2*j - 2128 = -2*v + 604. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/5?  (a) 3  (b) 4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-14) + 2472\/224 + -10\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5855 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6\/(-10))\/(8\/40). Let b be (2\/o)\/(70\/30). What is the biggest value in -7, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**2 - 1. Let o(c) = -16*c + 11027 - 11027. What is v(o(z))?\nAnswer: 512*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -241*z**2 + 2*z**4 + 239*z**2 - z**3 - 8*z**3 - 49*z**3 in the form v*z**4 + p*z + w*z**3 + t*z**2 + s and give w.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11162527 + 11162527 + 22*u.\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38 - 40. What is the nearest to 1 in r, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b. Let f(y) = 67*y + 5. Let v(g) = -f(g) + 4*k(g). Let m be v(-1). Suppose -156*r + m = -154*r. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 + 19*u**2 + u + 23. Let q be (-165)\/9 + 4\/(-6). Let z be t(q). Solve 15 = z*w - w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, l: 2, p: 7}. Give prob of picking 2 q and 1 l.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**3 + 2 + 21*d**2 - d - 18*d**2 + 0*d**3 - d to the form j*d**2 + p*d + m + z*d**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 290744, 581448, 872152, 1162856, 1453560?\n\"Answer: 290704*v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 715*j + 71635. Determine d(-100).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*j + 57 + 39. What are the prime factors of (-1685)\/j + -2 + (-33)\/(-12)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 6*y**2 - 109*y + 41. Determine i(20).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -5*d**4 + 44225*d**3 - 1631280*d**2 + 15856020*d - 14268960 = 0.\nAnswer: 1, 18, 8808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/767, -0.01, -2\/91, 0.04, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 38343 or 38342?\nAnswer: 38342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((sqrt(175) + -2*-2*sqrt(175))**2 + sqrt(175) - sqrt(175)))*-1.\nAnswer: -4377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 220569353?\nAnswer: 1567, 140759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 28*m + 16815 + 3429. Let c = m - -730. Let k(s) = s - 1. Give k(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -767*l. Let j(v) = 6*v. Determine k(j(x)).\nAnswer: -4602*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 13, i: 3, h: 4}. What is prob of picking 2 z?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1561 + 3395. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180629863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of -341*r**5\/4 + 35*r**4\/12 + 14*r**3\/3 - 32*r**2 + 2*r - 1. Let f be z(28). What is f rounded to the nearest one million?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 20, -0.72, -1?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16*z**3 - 171959*z**2 - 8706097*z?\nAnswer: -96*z - 343918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - 0)\/(1\/2). Let o = -4728.3 - -4728.4. Let i be 5\/(-34)*-6 + -1. Which is the closest to 1?  (a) i  (b) k  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 49345\/2 + -24672. Which is the third smallest value?  (a) s  (b) 16  (c) 53  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 358 a factor of 10486178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -178 + 264. Let a = n + 79. What is the remainder when a is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16\/3 in 1\/6, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-26 + 19*q + 26)*(-19 + 7 - 12) in the form t + i*q and give i.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/56*-4*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002491 rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 5*d - 28. What is k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -17206.5 to the nearest 100.\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 - 2*v - 3. Let s(h) = -6*h**2 + 11*h + 17. Let w(l) = 7*l - 8. Let f be w(6). Let i(c) = f*k(c) + 6*s(c). Factor i(j).\nAnswer: -2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 187597805.\nAnswer: 5, 17, 2207033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3808 + 151 = 88*o - 137 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 273 and 99762.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 473*q + 368*q - 230*q.\nAnswer: 611*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21*h**5 + 3023*h**4 + 8008088*h.\nAnswer: 420*h**3 + 36276*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112545 = 13*l - 18*l - 4*g, -11*l = -2*g - 247653. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of 0*f**2 + 0*f**3 + 0 + 0*f**6 + 0*f**5 - 8\/21*f**7 - 3\/4*f**4 + 14*f. What is the third derivative of a(p) wrt p?\nAnswer: -960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -14108*a - 1439011. Give k(-102).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/7  (b) 5  (c) 80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*p + 6072 = -66*p - 35*p + 19*p for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-5*2*1)\/(-5 - (-6189)\/1238)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 3056?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 897\/16 less than or equal to -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**(-7\/2)*d*d*d\/(d**(2\/3)*d*d)*d assuming d is positive.\nAnswer: d**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (62\/28 - (1 + 1))\/((-77)\/(108339\/268))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of n**4\/14 - 2*n**3\/21 - 2*n**2\/7 - 3. Factor c(j).\nAnswer: 2*j*(j - 2)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/77 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*-2 - (13 - 13)) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -64 - -106. Suppose -9*x + u = -6*x. Suppose h - x = k, -5*h - k + 46 = -54. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (392\/6)\/((-1)\/(-3)). Let y(r) = 4*r**2 + 2*r + 7. Let b be y(-2). Let f = b - -9. What is the highest common divisor of f and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 PM and 9:29 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3656\/73515 - -23\/1014. Calculate the common denominator of a and 97\/6.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-58)\/(-29) + (-22)\/4*4. Let q be (-2 - 30\/8) + 5\/h. Let b be 2\/(-4)*(-12 - q). Solve -5*u + 4*z = -36, -b*z + 8 = 3*u - 2*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 10:31 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-90)\/105*84\/(-3). Suppose 24 + f = 8*b. Solve -10*c + 13*c + b = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, t: 1, s: 1, j: 1, m: 3}. Give prob of picking 1 a and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 PM and 3:37 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -717568, -717572, -717578, -717586?\n\"Answer: -u**2 - u - 717566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x**5 + 12 + 9*x**4 - 3*x**2 + 2*x**2 + 3*x**3 - 20*x**2 = 0 for x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5802)\/(-12571)*(-52)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 - 4 = -3*z - 2*u, -2*z = 5*u - 15. Let r be -5 + z - 0\/2. Suppose 2*y - 3*k = k + 50, r = y - 3*k - 30. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -187 by 201.\nAnswer: -187\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, 57, -5, -203, 0, 1, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*x - 1478 = -6 - 69 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -452 less than or equal to -18572\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-24)\/201232*(-1861354)\/(-63). Let x be (-8)\/(-28) - 50294\/176078. Let i = q - x. Find the common denominator of 73\/6 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21 - -17) + 0 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 26 + -1 - (-4 - (8 + 2) - -10)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 23, -1745, -5203, -10351?\n\"Answer: -845*l**2 + 767*l + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-28)\/(-7) - (2 + -1). Let a(t) = -10*t**2 + 22*t - 57*t + 11 + 21*t + t**n + 22*t. Let u be a(9). Solve u = -c - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -8 + (2 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3910.416 and 0.2.\nAnswer: 782.0832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 20*m**2 - 22*m - 13. Give d(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 4*n**2 + n + 5. Let p(m) = -m + 9. Let a be p(6). Let o(h) = 5*h**2 + 2*h + 6. Suppose -19*d - 99 = -23. Let s(y) = a*o(y) + d*v(y). Give s(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-26)\/4)\/((-3627)\/(-7254))*1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-8)*(66 + 115600\/(-1750)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 627 and 6099.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-2) - (-2 - -4). Let s = -3 - 17. Let h be (-1)\/1 + s\/(-15). What is the third smallest value in -2, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 + 5*x**2 - 4*x + 5. Suppose v - 3*v - 10 = 0, 4*f + v = -1. Let m(g) = -g**2 + g - 1. Let s(i) = f*k(i) + 5*m(i). Solve s(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4053, 8062, 12069, 16074, 20077?\n\"Answer: -f**2 + 4012*f + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28 and 53924876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1397136 + 1.2?\nAnswer: 1397137.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 2424 divide 10818312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n + 4. Let w be m(-4). Suppose w*k + 4 = 2*k. Calculate the lowest common multiple of k and (-3)\/(-6) - (-2)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 213362 is divided by 106659.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 234712 - 112*t - 234712 + 4*t**2 + 112*t.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 PM and 10:16 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -3  (b) -11\/5  (c) -3\/4  (d) 2  (e) -28\/111\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.6 + 204.6. Let w = h - 203. What is the second smallest value in 2, w, 2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -3*y**2\/4 + 12*y - 117\/4 = 0.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -191*o - 47. Let h(b) = -192*b - 39. Give 6*h(q) - 5*k(q).\nAnswer: -197*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*n + 4*n - 6*n)*(4 - 4 + 2) + 4*n + n - 4*n + 2 - 2 + n - 3*n + 5*n - 4*n to p + d*n and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, 12, 45, 112, 225, 396, 637, 960?\nAnswer: 1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 - d**2)*(3 + 3 - 7) + 8*d**2 - 10*d**2 + 9*d**2 + (9 - 4*d**2 - 9)*(3 - 2 + 3)*(4 - 3 + 0) in the form k*d**2 + r*d + f and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 746852477 by -6.\nAnswer: -746852477\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(468)*-4 + 1.\nAnswer: -24*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-8) - 35\/100. Let w = 1\/731 + -5137\/14620. Let m = y - w. What is the third smallest value in 2\/15, m, 2\/23?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1877, -2634, -3401, -4184, -4989, -5822, -6689, -7596?\n\"Answer: -y**3 + y**2 - 753*y - 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 301 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8782137 to the power of 1\/2, to the nearest integer?\nAnswer: 2963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 30, 36, 42?\n\"Answer: 6*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1883, 1886, 1891, 1898, 1907, 1918, 1931?\nAnswer: 1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 3 = 13. Let s(c) = c**2 - 37*c + 214. Let k be s(7). Suppose p = -4*b - 2*t, -5*t = b - k*t + 3. Solve 6 = -4*j - b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w + w**2 + w + (-w - 3*w + 6*w)*(745*w - 71 + 658*w + 41 + 31).\nAnswer: 2807*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 260829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1083, 3768, 8243, 14508?\n\"Answer: 895*y**2 + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 15*y**3 + 3*y**2 - 8*y. Let s(f) = 74*f**3 + 16*f**2 - 40*f. Let q(m) = 3*s(m) - 16*u(m). What is the second derivative of q(x) wrt x?\nAnswer: -108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 3*h**2 + 3*h - 3. Suppose 0 = -z - z + 3*t + 6, 4*t + 15 = 5*z. Let y be v(z). Calculate the greatest common divisor of y and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 divided by -592?\nAnswer: 25\/592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -2\/21, -39, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -1\/4  (b) 2  (c) 0.7  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*x = -231 - 84. Suppose -f = f - 74. Suppose 5*s = a - f, -2*a - a - 4*s = -206. Calculate the remainder when a is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-381)\/127*12\/54*(-6)\/58.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -33505111\/34 or -985444?\nAnswer: -33505111\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 0, -220 = 5*v + 3*q + 275. Let x be 1392\/(-20) - ((-49)\/(-35) + -2). Let t = x - v. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -364*j + 189 = -6*x - 182*j - 179*j, 5*j + 345 = -10*x for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 22364, 44715, 67062, 89405, 111744?\n\"Answer: -2*b**2 + 22357*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**1)**(-45))**(-41) assuming b is positive.\nAnswer: b**3690","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.735 - -42.735. Which is the third biggest value?  (a) 1  (b) 0.1  (c) -0.4  (d) o  (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2154566, 2, 4, -1 in increasing order.\nAnswer: -2154566, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and 2051?\nAnswer: 4102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 28321 - 28326. Put -4, -0.11, -0.1, 2, d in ascending order.\nAnswer: d, -4, -0.11, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, o: 7, h: 1, y: 3}. Give prob of picking 2 y.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 472363 is divided by 24861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21 - -21. Let p be 1 - (-23 + (z - -2)). What is the highest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5965.918mm to centimeters.\nAnswer: 596.5918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = -f - 3, -n + 9 = -8*f + 5*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 - 18*g - 3)*(-1 + g**2 + 1).\nAnswer: -18*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, -3, -472, -4 in decreasing order.\nAnswer: 2, 1, -3, -4, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -3 - 19*n**4 - n**4 - 212*n**3 - 612*n**2 + 203 - 220*n = 0.\nAnswer: -5, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -15762, -15761, -15760, -15759, -15758, -15757?\n\"Answer: d - 15763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30 + 13 + 21)*(-1)\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(325) + 2 - (5*(sqrt(104) - sqrt(104)*3))\/sqrt(8).\nAnswer: 4 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s**2 - 183*s + 6 + 183*s - 6.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 7\/1644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58013378 is divided by 2762541.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (((-4*sqrt(162) + sqrt(162))*-4 - 6*(sqrt(162) - 2*sqrt(162))) + 1)*1)**2.\nAnswer: 1944*sqrt(2) + 52524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -11245587078 - 35555?\nAnswer: -11245622633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 + 9*j - 9. Determine r(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 2*w**2 - 4*w + 3. Let r be f(3). Calculate the greatest common factor of r and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - 754\/(-65)) + (-6)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -5*v - 35, -4*a - 3*v + 9 = -6*a. Suppose -3*i - 18 = 5*s, 4*i + s - 2*s = -1. Let p(x) = -1. Let f(o) = 3*o**2 + 6. What is a*p(b) + i*f(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 275 + -151. Let n = -110 + o. What is the remainder when 138 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 62\/9?  (a) 3  (b) -5  (c) -2\/7  (d) 4\/7  (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25937, -56831, -92689, -133511, -179297, -230047?\nAnswer: -285761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -9, -3, 5 in ascending order.\nAnswer: -9, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 278*c - 267*c = -22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**5\/y*y**(-1\/12))\/(y*y**(1\/6)*y**(1\/6))*((y\/(y**2*y))\/y*y**3\/y)\/((y*(y**(-3)*y*y)\/y*y)\/(y*y*(y\/y**(1\/14))\/y)) assuming y is positive.\nAnswer: y**(295\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1272964, 1272908, 1272808, 1272658, 1272452?\nAnswer: 1272184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 41 - 40.61. Let k = -0.01 - s. Let m = -1309\/5 - -261. What is the third biggest value in m, 0.1, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.1  (b) 3  (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of -3\/8*n**4 - 8*n**2 + 0*n + 0 + n**3. Find the first derivative of r(m) wrt m.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 254 a factor of 23368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-2) + (-17)\/(-10). Let k = b - 41\/30. What is the third smallest value in -0.5, -4, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k = -15*k - 24. Let u(p) = -9*p - 32. Let w be u(k). Put 5, w, -2, -4 in increasing order.\nAnswer: -4, -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110406.\nAnswer: 2, 3, 18401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:06 PM and 1:03 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -4*f**3 + 17*f**2 - 34*f + 18. Determine y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**2 - 2*p**2 + 0*p**2 + (-3 + 3*p + 1 - 5*p)*(-2*p - 7*p + p).\nAnswer: 15*p**2 + 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - r - 2*a = 10, 2*r + 12 = -2*a. Let u(s) = -2*s**3 - 3*s**2 - s + 4. Let m be u(r). Solve 4*k = 2*k - 4*h + m, -5*k = -5*h + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 23498 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 94488600 divided by -3841\nAnswer: -24600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(100) + 6*-1*sqrt(100))\/(sqrt(10) - (sqrt(10) + sqrt(80)\/(sqrt(16)\/sqrt(2)))))\/((1*sqrt(1134))\/(4*sqrt(7)*-1)).\nAnswer: -20*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 622187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 10) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.40124847896 - 3\nAnswer: -3.40124847896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*y**2\/5 + 354834*y\/5 + 10492263963\/5 = 0. Calculate y.\nAnswer: -59139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/406 and 45\/4.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -37*b**2 - 241*b - 237. Determine p(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a*a**1*a)**(-2\/7))**(-2\/3) assuming a is positive.\nAnswer: a**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 8 - 4 - (2 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42)\/(-48)*-12)\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -37344.054 - -37290. Let l = -0.054 - r. Let p = l + -53.99999895. Round p to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 - 5 + 11 - 1 + 5*c - 7. Let y(d) = d**2 + 5*d - 1. Let a(b) = 3*k(b) - 4*y(b). Let u(n) = n. Calculate -a(o) - 3*u(o).\nAnswer: o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of i**3*x**2*z**2 + 368*i**3*x*z**2 + i**3 + 2*i**2*x + 6*i**2 - 18*x**2 + 2*z**2 wrt i?\nAnswer: 6*x**2*z**2 + 2208*x*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from irouivvb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*x**2\/5 + 1491314*x\/5 - 1346968\/5 = 0. What is x?\nAnswer: 28\/31, 48106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2620.802 nanograms in grams?\nAnswer: 0.000002620802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (12\/18)\/((-2)\/3). Let z = 2.2 + -0.2. Let s = z + -2. Which is greater: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 3 - 3 + 2*c. Let j(q) = -16 + 9 + q + 7. Give a(j(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.9 plus -225.798?\nAnswer: -222.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*(1 - (0 + 0)). Let j be -2*2 - (-1 + -1). Let n = j + i. Put n, 2, -5 in descending order.\nAnswer: 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of 1\/15*i**5 + 1\/6*i**4 + 1\/90*i**6 - 5\/6*i**3 + 0*i**2 + 5*i + 0. Let v(w) be the second derivative of s(w). Factor v(l).\nAnswer: 4*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/2*(-7)\/(-21))\/(2\/(-60)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0270227538 - 326.\nAnswer: -326.0270227538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 0) + 7 + 20 + -22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 4 - 43*o**3 - 6*o**3.\nAnswer: -49*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 47*472552\nAnswer: 22209944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1429*b - 29*b - 4 + 1 to n*b + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from krsrhkk. Give prob of sequence sh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the third derivative of c**6\/15 + c**4\/12 - 3*c**2. What is the second derivative of t(p) wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 AM and 8:53 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 278815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (160\/(-104))\/(-10) - 34\/52. Which is the nearest to q?  (a) -1\/3  (b) 2\/5  (c) 1  (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 17*c - 35. Let b be r(3). Solve 3*a + 16 = -4*p, 4*a + b + 5 = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 498209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*a**4 + 534*a**3 - 2*a**2 + 57284*a?\nAnswer: 36*a**2 + 3204*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 + 6*m + 6. Give f(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -283520 (base 9) to base 4\nAnswer: -222102030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/((-1)\/(-4)) + -1. Suppose -2*j = -5 - i. Suppose 12 = 2*t + 3*t + 2*u, 3*u = 5*t - 7. Solve t*c - b = -c + j, -5*c = 3*b + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98 - 98 - 384 - 806 = -70*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -6.03. Let x = t + 0.47. Which is the third biggest value?  (a) 3  (b) x  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-3)*(-3)\/(-1). Let s be (k\/(-28))\/((-15)\/60). Let g(y) = y**2 - 2*y - 3. Let u be g(3). Which is bigger: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d + 1645388 + 1872439 = 0. Factor -d + 30074*f - 177360 - 711*f**2 + 86959 + 3*f**3 + 26095*f - 1181785.\nAnswer: 3*(f - 79)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 - 10.04. Let w = 0.04 + o. Is w greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9265.951 kilograms to nanograms.\nAnswer: 9265951000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 316572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 4*c**2 - 11*c + 9. Is t(10) 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 16 - 19*(-8 - 345)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 52\/40538323 and 19\/23164756.\nAnswer: 162153292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 252*o**2 + 160*o**2 - 79*o**2 + 181*o**2.\nAnswer: 514*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 + 5*c - 1. Let s be u(-5). Let w(i) = i**2 - 2. Let h be w(s). What is the fourth smallest value in h, 0.01, -0.2, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 60 and 11502.\nAnswer: 115020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3736.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/(-2))\/((-2)\/376). What is the smallest common multiple of u\/(-4) + (-5)\/(-10) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, k: 1, j: 2}. Give prob of picking 1 d and 1 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -n - h - 9, 0 = -4*n - 2*h - 40. Let t = n + 27. Suppose 2*i + 6*f - 3*f - t = 0, 2*f = 4. Solve -4*v = 4*z + 16, -3*v + 2*v - 12 = i*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, e: 2}. Give prob of sequence eee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1035145 (base 6) in base 16?\nAnswer: -c9e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 242 a factor of 378246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79 = v + 5*g, -7*v + 12*v - 190 = 14*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 10 = -4*l. Suppose -l*t = 4 - 18. Is (-3)\/(-3)*0 + t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(40)\/sqrt(4) - (sqrt(90) + sqrt(90) + sqrt(90) + -2*sqrt(90)))\/(sqrt(35)\/(sqrt(315)\/sqrt(5))))**2.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of 0*b**2 - 110 - 13\/5*b**5 + 3*b**3 + 1\/2*b**6 - 3*b + 0*b**4. What is the third derivative of l(t) wrt t?\nAnswer: 180*t**2 - 312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 162425 by -1825.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are -67708 and -67709 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-53404)\/(-4901) + 50 + -61.\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000610316232 rounded to seven decimal places?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**3 + 3 - 3 + (-2*j**2 + 0*j**2 + 0*j**2)*(0 + 0 - 2*j))*(-27 + 60 - 20).\nAnswer: 39*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 514656 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 43 + -61. Let j(x) = 6 - 5 - 2 + 0*x - 23*x**2 + x + 22*x**2. Let u(f) = -8*f**2 + 9*f - 9. What is a*j(i) + 2*u(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -167, -332, -487, -626, -743, -832, -887?\n\"Answer: s**3 - s**2 - 169*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15 + 17. Suppose n = w*n - 4. Solve -4*b - u + 3 - n = 0, -5*u = 2*b + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of -u**4\/4 + 20*u**3 - 1174*u - 3486. Differentiate k(d) with respect to d.\nAnswer: -3*d**2 + 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.06*0.1328726\nAnswer: -0.007972356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-44)\/(-120)*68\/187?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 222208779 plus 31601?\nAnswer: 222240380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -111\/6226 and -55\/147592.\nAnswer: 459453896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 885 and 5955.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 4*n - 11. Let r(f) = -f**2 + 14*f + 1. What is the tens digit of r(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 454353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5941783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 0, 55 in descending order.\nAnswer: 55, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o - 6*o + o + 4*o - 3*o + 0*o + (1 + 1 + 1)*(0 + 0 - 2*o) - 3 + 2*o - 2*o - 4*o.\nAnswer: -11*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 66*a + 6 + 75*a - 135*a + 2*a**2 - 6*a**2 - a**3. Give n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from guyueyddendeu.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 504238018 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -102 - -13?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -27 - 9*c + 27 + (1 + 3 - 5)*(0 + 0 - c) - 2*c + 2*c - 2*c + (-1 + 1 + 2 + (-5 + 1 + 3)*(-46 - 59 + 118))*(-1 + 1 + c) to m + g*c and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-63)\/(-189))\/(-1 + 2\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, -1\/86, 0.3, -1222, 7?\nAnswer: -1222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -32*g - 31*g + 61*g. Let j(v) = -12*v. What is j(k(a))?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 251*o + 9803. Let x be h(-39). Solve -5*z = 4*d - 16, 21 = x*z - 10*z - 5*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of -q**8\/546 - 29*q**7\/1365 - 21*q**6\/260 - 23*q**5\/195 - 2*q**4\/39 + 598*q**2. Suppose o(s) = 0. Calculate s.\nAnswer: -4, -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3b571 (base 14) in base 4?\nAnswer: 203301033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 121*f**4 - 123*f**4 - f**3 - 4*f**3 to a*f**4 + k*f**3 + m + w*f**2 + s*f and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 10. Suppose -41*c = -46*c + 15. Suppose -q + 8 = 2*l, c*l = -2*q - 0*l + 14. Calculate the lowest common multiple of q and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 481661598 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 175 divide 1039033719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3633 by 7.\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {z: 1, j: 2, d: 6, r: 5, y: 1, h: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, z: 4}. Give prob of sequence aa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 498901905?\nAnswer: 3, 5, 19, 583511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*i**3\/2 + 1620*i**2 - 262440*i = 0. Calculate i.\nAnswer: 0, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/20)\/(672\/320)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1222007.283 seconds?\nAnswer: 2.0205146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19272021?\nAnswer: 3, 47, 103, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -39 + -47. Let s be (1 + 10\/(-6))*-183. Let t = d + s. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9d6d (base 15) in base 4?\nAnswer: 20021323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -140*d - 151*d**3 + 10 + 137*d + d**2 - 28 + 145*d**3 in the form u*d + p*d**3 + b*d**2 + y and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 PM and 10:15 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {h: 4, x: 3, e: 1, l: 2, t: 9}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-19)\/2 + 15\/(-10). Let a = q + 14. Let u(j) = -j**3 + 14*j**2 + j - 12. Let z be u(14). Solve 3*h = z*h + 3*m - 4, 0 = a*h + 4*m - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -a + 5. Let b = -3 - -1. Put 5, a, b in ascending order.\nAnswer: a, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(1050)*2)\/((sqrt(24)*2)\/sqrt(4)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2344000 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -8 + (4 - 3 - 10)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 2 = m - 21, -2*m - 22 = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*p**4 - 12*p**4 - 7*p**4 - 225 + 40 wrt p?\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rdd when three letters picked without replacement from dqqqeeqqrqqqqdueee?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.4792843 rounded to four dps?\nAnswer: -3.4793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 64*s + 209*s + 994*s + 510*s - 241*s in the form w*s + q and give w.\nAnswer: 1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, 0.2, 1\/2, 2\/3.\nAnswer: 1\/6, 0.2, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*2*(-4 + 3 + ((sqrt(320) - (-4 + (sqrt(320) - -2*sqrt(320)))) + 6*(-1 + sqrt(320)))**2).\nAnswer: -1024*sqrt(5) + 40984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/8))**41\/(a\/(a\/(a**(-1\/4)\/a))*a*a*a**(-7\/9)\/a*a))**5 assuming a is positive.\nAnswer: a**(1855\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**4 - 135*o**3 + 565*o**2 - 285*o - 990.\nAnswer: 5*(o - 22)*(o - 3)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**4 - 2*x**3 - 21*x - 10*x + x**4 + 2 + (-2*x**2 + 2*x**2 - 2*x**4)*(-166 + 125 + 112).\nAnswer: -144*x**4 - 2*x**3 - 31*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 56\/55 and 103\/199660.\nAnswer: 2196260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + 4*sqrt(704) - (-2 + sqrt(704) + sqrt(704) + 2)) + (-2*-3*sqrt(704) - (sqrt(704) + 0 + -1*sqrt(704))))**2.\nAnswer: -128*sqrt(11) + 45057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 7, i: 4, s: 2}. What is prob of picking 1 i and 1 s?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-1)*f*f**(-6))\/((f*f**0*f)\/f)**(8\/7))\/(((f**(-9)\/f*f)\/f)\/f**(-10))**(-39) assuming f is positive.\nAnswer: f**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51 + -49. Let u be 2 - v - 10\/(-1). Let o = u + -7. What is the least common multiple of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 4*q**2 - 68852364*q - 68852368 = 0.\nAnswer: -1, 17213092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least -2809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzrsrbrzrmmzzmsmrm. Give prob of picking 2 s.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3664, 3588, 3512, 3436, 3360, 3284?\nAnswer: 3208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 1160.\nAnswer: 3\/1160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 155466.\nAnswer: 2, 3, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, -1, -7, 0 in increasing order.\nAnswer: -7, -5, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}