diff --git "a/data/dm_maths/full_data_1/2504_11255.jsonl" "b/data/dm_maths/full_data_1/2504_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2504_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let g(n) be the second derivative of 1\/2*n**3 + n**2 + 1\/12*n**4 + 0 + 2*n. Factor g(x).\nAnswer: (x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from {m: 6, q: 1, j: 12}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2808*m - 105382 - 26594 = 0 for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 - 2*n**4 + 3*n**4)*(n + 2*n - 5*n) + 3*n - 3*n**5 - 3*n.\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 12 = 0, 2*m + 2 = -455*s + 451*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114 * -1.27.\nAnswer: 144.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 115a22a - 1?\nAnswer: 115a229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 - 5*q + 4. Let f be l(9). Suppose -1405 - f = -4*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27644380.\nAnswer: 2, 5, 17, 81307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -2, 3, 76 in decreasing order.\nAnswer: 76, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -5*o - 73 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*(3\/6 + -1). Suppose 40 = h*t + t. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201 divided by -67.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15677 is divided by 749?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -13 - 39. Let r = -4 + y. Suppose r = 3*f - 0*f. Solve -t = f*d, -4*d - 2 = 2*t - 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.08815 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4 - 5442*y**3 - 571556*y**2 + 4266864*y = 0.\nAnswer: -108, 0, 7, 2822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3532934497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102334475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -14*g - 3. Let o be l(-6). Find the common denominator of -1 and o\/2 + (-3)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (8 - 2) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v = 10. Suppose v*t - 2 = 6. Suppose 0 = -5*i - 20, -3*m - 6 + 19 = -i. Solve -m*j + 3*y + 17 = 2*j, t*y + 16 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -12*g**3 - 63*g**2 - 40*g + 468. What is the thousands digit of q(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1313654*p*s**2*z - 8*p*s*z - 2*p*z - 5213*s*z wrt s?\nAnswer: -2627308*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -6800?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 13580 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 0 - (36 + -12 - 9 - 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 0.5, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4370757 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, p: 3, z: 3, y: 2, u: 5}. Give prob of sequence yj.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 17 = 27. Let q = -5 + 10. Calculate the highest common divisor of q and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 95988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 11*l - 28.\nAnswer: -(l - 7)*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:08 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/48869 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4)\/r*r\/(r*r\/(r*((r\/(r**4\/r*r*r))\/r)\/r)))\/(r**(2\/13)\/(r\/(r*r**(-1\/2)*r))))\/(r**(-4)*r**(-1)*r*r*r*r**(-4)\/(r\/r**(-2\/15))) assuming r is positive.\nAnswer: r**(-1763\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 727*g - 724*g - 21, -3*h = 2*g + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-24.34.\nAnswer: -121.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0 - 6. Differentiate -235*i - 6*i**j - 8 + 235*i wrt i.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 1.8349.\nAnswer: -0.073396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 2*i - 21. Let t be m(-9). Let z = t - 41. Sort -1, z, 10 in descending order.\nAnswer: 10, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-218.477\nAnswer: -109.2385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*c*k**3*x - 3948*c*x**2 + 2*c*x + 576*k**3*x**2 + 3*k**3*x + 2*k**2 wrt k?\nAnswer: -120*c*x + 3456*x**2 + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 3, 81, 195, 2 in descending order.\nAnswer: 195, 81, 3, 2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*i**5\/5 + 2814*i**4\/5 - 84732*i**3\/5 + 54306*i**2\/5 + 27621*i\/5 = 0. Calculate i.\nAnswer: -1\/3, 0, 1, 33, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11060 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 13*f - 7. Let l be p(12). Suppose 269 = -l*s + 1074. Let k(n) = n**3 + 8*n**2 - 8. What is the remainder when s is divided by k(-7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3784913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, -3.\nAnswer: -19, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Let h be -1 - (4\/6)\/((-8)\/72). Sort -2, h, y in descending order.\nAnswer: h, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2444, -4960, -7556, -10238, -13012, -15884, -18860, -21946?\n\"Answer: -p**3 - 34*p**2 - 2407*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396 and 9784071.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 8769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Suppose -i*y = -7*y + 15. Suppose y = 2*z + 7. Does -1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20652896?\nAnswer: 2, 11, 23, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6702 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 3*d - 4. Let u be w(-3). Let m(y) = -28*y**2 - 488*y + 3591. Calculate the remainder when (-30)\/(-4) + 2\/u is divided by m(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqtqtt. What is prob of picking 2 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r + 27*r - 7*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 125 - 40 = 0. Let z be (-115500002)\/u - (-50)\/275. Round z to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 10*z + 1008. Let n = z + 96. Let x(c) = 19*c + 5. Let j(h) = 20*h + 4. Let t(o) = 5*j(o) - 6*x(o). Let d(i) = i + 1. What is n*t(u) - 12*d(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 426*l - 62568. What is x(147)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o - 1. Let w(r) = 2*r**3 - 4*r**2 + 8*r - 7. Let q(u) = -w(u) + 3*y(u). Calculate q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -56804?\nAnswer: -56804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1568472617 and 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 2, k: 1}. Give prob of picking 1 k and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alqeeuuluuelaavua. What is prob of sequence auae?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.94951 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-14))\/(20\/(-56)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**3\/3 - w**2\/2 + 2*w - 290. Determine a(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(21)\/sqrt(3) + 0)**2.\nAnswer: -8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 1. Let i be s(-1). Let h = -5.4 - -10.4. Which is the fourth smallest value? (a) -5 (b) h (c) i (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a = 119*a - 242039. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-6))\/s**(-14))**(-4\/9) assuming s is positive.\nAnswer: s**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7 - 87\/21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3950?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i*i*i**4*i*i))*i)\/i)\/(i\/(i**2*i)))**38\/((i*i**(1\/4))**13\/(i**1)**(-1\/4)) assuming i is positive.\nAnswer: i**(727\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4470 and 17880?\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 493005021108.\nAnswer: -493005021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**2. Let y(o) = o**2 + 1. Let l(m) = -7*m**2 - 5. Let g(x) = -l(x) - 5*y(x). What is n(g(r))?\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -185b58 (base 15) to base 3\nAnswer: -2020010212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 25*f - 2461. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = h - 4. Solve -2*c + h*p + 18 = -5, 5*p = -25 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9843501600 to the nearest 1000000.\nAnswer: 9844000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -43*6\/63 - -4. Let q = 109 + -113. Let k = -0.32 - -0.33. What is the nearest to 1 in y, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = -3 - 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1 = -14. Let i(f) = f**3 - 10*f**2 + 2*f - 10. Let k be i(10). Suppose -3*w + o*g - k = -28, 3*w + g = 36. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -26, -46, -66, -86?\n\"Answer: -20*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 5*a - 3. Let s be h(4). Let b(x) = -x**3 - 5*x**2 - 3*x - 1. Let i = 9 + -13. Let j be b(i). Put s, 5, j in ascending order.\nAnswer: j, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9536617697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w - 41*w - 108 = 0. What is the greatest common factor of 90 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -614, -3, -13, -5, -4 in ascending order.\nAnswer: -614, -13, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + w - 4. Let h(l) = -4*l + 9. Let f be h(3). What is y(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**4\/5 - 117*a**3\/5 + 108*a**2\/5 + 228*a\/5 = 0.\nAnswer: -1, 0, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4903550505 + 7\nAnswer: -4903550498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17452, -17, 3 in descending order.\nAnswer: 3, -17, -17452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 62.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 714281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1118 divided by -1.\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -644 - -1107. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 1. Let d be o(2). Let w(t) = -t - 5. Suppose -3*k = 4*i - 4, -10 = -k - 3*k - 3*i. Let m(x) = k*x - 2*x + 4 - x. Give d*w(s) - 6*m(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 4. Let o be b(3). Suppose -s - o + 6 = 0. Calculate the greatest common divisor of s and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**7\/105 + l**5\/20 - 3*l**2\/2 - 2*l. Let i(b) be the first derivative of o(b). What is the third derivative of i(x) wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 + -142. Solve -17 = 3*u - 0*z + z, -y*u - 3*z - 27 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*j**2*q*s**3 + 100*j**2*q - 58*j**2*s**3 + j**2*s - j*q*s**2 + 2*q*s**4 + 5*s**2 wrt s?\nAnswer: -42*j**2*q - 348*j**2 + 48*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t + 2. Let g = 2 - -3. Find the common denominator of a(g) and 45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4) + (1 + 3 - 5) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s - 0. Suppose -s*q = -5 - 10. Solve 3*h - 3*b - 9 = 0, -q*h - 8 = b + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*t - 109 = -1197, -3*t + 12 = 0. Let r = 133 - 113. Calculate the greatest common factor of u and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00123839011 to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-3)*12\/(-8))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*x**3 + 432*x**3 - 18*x + 18*x + 1 + 403*x**3 + 804*x**3.\nAnswer: 1569*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 50383.4351 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + 13*u**2 - 13*u**2)*(2*u - u + u) + 7*u**2 - 4*u**2 - 82*u**5 + 87*u**5.\nAnswer: 7*u**5 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 2, o: 1, b: 1, k: 2, a: 1}. What is prob of picking 1 e, 1 b, and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.827223 rounded to three decimal places?\nAnswer: -0.827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12246 - 12725.54. Let i = -481 - g. Round i to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6))\/(-4*(-2)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 7*p**5\/180 + 41*p**4\/27 + 233*p**3\/18 + 15*p**2 - 4633*p + 1. Factor k(b).\nAnswer: (b + 5)*(b + 18)*(7*b + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28281463*y**6 - 9*y**4 + 455*y**2 - 659581*y wrt y.\nAnswer: -3393775560*y**3 - 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + 2. Let k be -1 + l\/6 + -2. Factor -1\/2 - k*w**2 + 1\/2*w**3 + 3\/2*w.\nAnswer: (w - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**4\/28 - j**3\/7 + 12*j**2\/7 + 500*j. Find y, given that w(y) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*c*d*k*w**3 + 50*c*d*k*w + 14072*c*k*w**3 + 138*c*k - 8*c*w + 13*d*k*w**3 - 2*d*k - 4*d*w - w**2 wrt w?\nAnswer: 384*c*d*k + 84432*c*k + 78*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 + 2*y + 1. Let c be z(-1). Let f be (-65)\/273*(-5 + 1 + 1). Are c and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, -73, 3\/382, -0.06, 8, 0.1, -0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13360 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250355 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 15 = 4*n - 3, 16 = b + 3*n. Suppose -2*s + 7*s - b = 0. Suppose 123 = s*i - 39. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -41?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, 1\/4, 16\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -1 - 4 - 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 48 = -8. Let l = -34 + 194. Calculate the highest common factor of l and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400483 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -574, -1140, -1706?\nAnswer: -2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 2*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 333 - 306. Calculate the highest common factor of 207 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -237\nAnswer: 94.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 27*i**2 - 6*i - 63*i**2.\nAnswer: -92*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -27 - -21 - 25 - 22.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.4 - -22. What is the smallest value in w, 0, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = k + 1, -v + 3*k = 14 - 7. Let b(r) = -r**v + 15 + 1 + 7*r**2 - 10*r - r**2. What are the prime factors of b(6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 321 and 2.8301.\nAnswer: 908.4621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2782.7 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1669602765 to the nearest integer?\nAnswer: 40861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -148 + 449. What is the remainder when (o\/(-14))\/(2\/(-12)) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 - 306\/10. Let k = x - -61. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4\/3 + 56*x**3\/3 - 18*x**2 - 56*x\/3 + 55\/3 = 0.\nAnswer: -1, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.07 and -7042677.\nAnswer: -7042677.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(144\/9))\/(7\/((-2296)\/12))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3724 is divided by 3693.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 2.2. Let n be (-8)\/8 - (-4 + 3 + -1). Which is the nearest to n? (a) -4 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4474807829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23\/90 + -1\/18. Let z = 75.4 - 73.4. Which is the closest to -2\/5? (a) s (b) z (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1008) + sqrt(1008) + sqrt(1008) + 1.\nAnswer: -1 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 9. Suppose -i + x = -5*s, -2*i + 3*i = -4*s + 5. Calculate the remainder when 65 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -1\/8*g**4 + 27*g**2 + 0 + 0*g + 2\/3*g**3 + 5\/12*g**5. Is j(-3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 711030.1 millennia?\nAnswer: 7110301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -203?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 33*t**2 + 2*t + 28. Is k(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/8)\/((-2)\/(-4))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000692102434 rounded to seven dps?\nAnswer: -0.0006921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 17*n**2 - 5*n - 7. Let k be a(-1). Suppose 0 + 16 = 4*p. Solve 4*x + 3*c = -32, -3*x - k - p = c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2535 and 55?\nAnswer: 27885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -33339*q**3 + 66658*q**3 - 33338*q**3 - 4 + 49*q**4 in the form o + s*q**2 + k*q**4 + f*q**3 + b*q and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 - 5555*l**3 + 16695*l**2 - 16705*l + 5570.\nAnswer: -5*(l - 1)**3*(l + 1114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*h*y**2 + 3*h*y + 2390*h - 2*y**2 - 31470*y - 12 wrt h.\nAnswer: -5*y**2 + 3*y + 2390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 34, 46, -0.4, -4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*z - 2 - 20*z + 2.\nAnswer: 37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 56. Let h be b(0). Let n = h + 89. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {j: 2, g: 1, y: 2, t: 1, n: 2, i: 7}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qms when three letters picked without replacement from {d: 1, s: 1, m: 6, q: 7}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 30*d**2. Let c(b) = 92*b**2 - 24*b - 3. Let j(t) = 183*t**2 - 40*t - 5. Let g(u) = 5*c(u) - 3*j(u). What is g(s(x))?\nAnswer: -80100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 - 5*p**2 + 5*p**2 + 9*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -1657*s + 1626*s. Solve 3*k = -5*d - 10, -29 = s*k - 4*d - 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 207\/7?\nAnswer: 207\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 9*s**2 + 5*s + 1. What is the hundreds digit of w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 1, f: 6, d: 4, h: 3}. What is prob of sequence id?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 6349660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-152\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 3*g + g)*(-38*g**3 + 40*g**3 + 3*g**2 - g**2) to the form q + l*g**2 + z*g**3 + k*g**4 + t*g and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 52*w**2 - 1. Let i(l) = l**3 - 2*l**2 + l - 7. Let a be i(3). Let z be (-15)\/((-25)\/a) + 0. Is q(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 500*i**3 + 11*i**2 + 4*i - 55746 wrt i.\nAnswer: 1500*i**2 + 22*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 497 - 336. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 12*l - 301. Does 12 divide w(42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 229*s**4\/4 - 34*s**3\/3 - s**2\/2 + 3*s + 128. What is the second derivative of h(n) wrt n?\nAnswer: 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 58 = -4*s, -3*f - s = 3688 - 3706 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/(-15))\/(1\/15). Suppose f + 2*f = d. Suppose 0 = -3*q - f, 2*r - 2*q - 819 = -3*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*l = 35, -16*q + 4*l = 3*q + 3*q + 1112 for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 6:42 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3885.2 millennia in decades?\nAnswer: 388520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**5\/180 - d**3\/18 - d**2\/2 - 3*d. Let m(r) be the first derivative of s(r). Solve m(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/7*1\/1*(-10)\/(-7)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -148380, -296784, -445212, -593676, -742188, -890760?\n\"Answer: -2*p**3 - 148390*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1101011011101011000 (base 2) to base 4\nAnswer: 1223131120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {j: 3, l: 1, y: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (3 + (sqrt(11) - ((sqrt(33)\/sqrt(3) + sqrt(11) - sqrt(11))**2 + -3) - (3 + sqrt(11) + 1)**2))*-2).\nAnswer: 84*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*r - 4. Suppose -r*i = i - 10. Suppose -5*m = 2*z - 20, m + 16 = -5*z + 5*m. Solve p - i = -z*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 22, 34, -1, 3\/53, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1182*2\/16*224\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 24 + 24. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*t - 3*t - 11*t - 335*t.\nAnswer: -686*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j = 0, -2*l + 2 = 5*j. Let u = l + 1. Suppose -u*b = 10, 2*b + 24 = 3*f - 37. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6*m + 333 = 0. Suppose -3*c = -12, -z + 4*c - 10 = 2*z. Suppose z*r + r = m. Calculate the remainder when r is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -2*m - 824. Let c = 534 + m. List the prime factors of (-6)\/(-9) + c\/18.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/7)*p)**18*(p\/(p\/(p\/(p*p*(p\/(p\/(p\/(p\/p**1))))\/p)*p)))**(-8\/7)*((p**(-4)*p)\/p**(4\/7))**9 assuming p is positive.\nAnswer: p**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1330485, 1330485, 1330481, 1330473, 1330461, 1330445?\n\"Answer: -2*y**2 + 6*y + 1330481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**3 + 8*f**2 - 17*f. Let v(w) be the second derivative of -w**5\/5 - 5*w**4\/12 + 11*w**3\/6 - 7*w. Give -5*l(d) - 8*v(d).\nAnswer: 2*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by -161?\nAnswer: -82\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/17)\/b*b**(-9\/7)\/b*b**(-15)\/b**5 assuming b is positive.\nAnswer: b**(-2757\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.05736 - 5.\nAnswer: -0.94264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, l: 6}. Give prob of picking 4 s.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by -1 - 220\/(-6) - 57\/(-171).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 3 + 139587*l + 3*l**4 - 4*l**3 + 1 - 139585*l to k + y*l**2 + x*l**3 + p*l**4 + c*l and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3564 and 105930?\nAnswer: 1906740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x - 48. Let h be g(6). Suppose 3*t + o - 26 = h, -2*t + 3*o = 4 - 14. Solve 5*s + t = -12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, d: 1, e: 1}. Give prob of picking 2 i, 1 d, and 1 e.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from 173815779.\nAnswer: 173815778.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*u = -0*u - 2, -3*x = 3*u + 15. Suppose 4*r + c = 106, -2*r + 5*c + 36 = -6. Calculate the remainder when r is divided by x\/((-16)\/(-28))*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 b when three letters picked without replacement from lfdbzlxbf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.9 - 0.1. Let n be (-4)\/(21\/(-1*3)). Let m = -215 + 214. What is the nearest to m in 0.04, h, n?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**4\/4 - c**3 + 4*c - 1. Let r be j(-3). Solve r*q - 14 = 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 990008 = -3*n, 2*n - 312005 = -2*d + 347991. Round n to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(-2\/33)*r))*r**(-2\/9))**(-10\/7))**(25\/2) assuming r is positive.\nAnswer: r**(-8875\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 12:16 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 266, 555, 832, 1091, 1326, 1531, 1700, 1827?\n\"Answer: -r**3 + 296*r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -2\/11, -0.03, -218, 4, 1\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f**2 + 1079*f + 1184. What is j(121)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 94573 - 94721 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 6*k - 8. Let m be w(7). Let u = m - -2. Let v = -1 + u. What is the biggest value in v, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 6. Suppose 0*d = 4*m + 5*d + 25, -3*d = 3*m + 15. Determine q(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**3 + 1 - 2*u**3 + 4*u**3)*(-22*u + 233 - 233) to the form o*u**4 + i*u**2 + b*u**3 + c + f*u and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 4)*(-2 + 2 + l) - 2*l + 4*l + l + (-l + 3*l + 0*l)*(10 - 5 + 5).\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56869 = -2*h + x, 16*h - 3*x + 113713 = 20*h. Let o = -9339 + h. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 800\/150 + -1*4*1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2235 by 3.\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 18*t**2 - 2*t + 13. Suppose 12 = 5*r - 2*r. Let y be n(r). Let c = -208 + y. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 680356177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*q + 26 = 2*q, -5*q = -o - 22. Suppose 24 - 28 = -u. Let a(f) = u*f - 8 + 24 - 6 - 7. Give a(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**5\/20 - 11*a**4\/12 + a**3\/2 + 8*a**2 + 14*a. Let i be n(11). Let b = 23 + i. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 1)*(-532 - 661 - 867)*(-1 + 1 - 2*o)*(2 - 2*o - 2) to b + l*o**2 + g*o and give l.\nAnswer: -16480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 4)*(-6)\/72.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60, -263, -606, -1089?\n\"Answer: -70*d**2 + 7*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 3:01 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -75*r**2 + 21686*r - 3238. Calculate k(289).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -54, 4, -203 in decreasing order.\nAnswer: 4, 1, -54, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(3*(0 + sqrt(153)*2 - sqrt(153) - (-4 + -2*sqrt(153) - sqrt(153))))**2)*-5.\nAnswer: 8640*sqrt(17) + 221735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -l - 19, l + 0*l - 9 = -2*t. Let s(n) = 3*n**2 + 5*n + 2. Let x be s(-2). Let v be ((-32)\/14 + x)\/((-8)\/(-28)). Which is smaller: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 2*o + 2*o + 3 + (-1 + 1 + 2*o)*(-15 + 3 - 15) in the form v + g*o and give g.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/60 + w**2\/2 - 2*w. Let m(c) be the first derivative of k(c). Find f, given that m(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22464.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*l + 8, 3*l + 5*o - 4*o - 6 = 0. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.016 or -528?\nAnswer: -528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3572052 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 47*f - 5. Let k = 57 - 53. Suppose -5*m = -k*o - 1, 0 = m - 4*o + 3*o. Calculate the remainder when 81 is divided by l(m).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 6*u**2 - 2*u - 8. Let x(l) = -2*l**3 + 13*l**2 - 4*l - 17. Let o(z) = -226*z - 4740. Let n be o(-21). Give n*x(s) - 13*f(s).\nAnswer: s**3 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -20*c**2 - 291*c + 579. Determine j(2).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + w - 150. Let a be b(-9). Let r(k) be the first derivative of 9\/2*k**2 + 16\/3*k**a + 5 + 0*k. Find the second derivative of r(s) wrt s.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2235 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 64, 141, 284, 505, 816?\n\"Answer: 2*u**3 + 21*u**2 + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071 is divided by 308?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 913*d**4 - 34*d**3 + 2 - 1 - 912*d**4 - d to the form p + y*d**2 + f*d + u*d**3 + w*d**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 3. Let i(r) = 2*r - 8. Let k be i(6). Suppose -3*x = 4*s - 14, -6 = -5*s + k. Let v be x + 1*(4 + -3). Determine g(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 227886*s - 455776.\nAnswer: (s - 227888)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 11, k: 1, p: 1, l: 3, e: 1}. What is prob of sequence lc?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-1))\/(7\/(-35)). Suppose -2*n + 8 = -5*g, 0 = g - 5*n + 1 - 4. Do b and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.22 at most 67.307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 = 5*i - q + 210, -651*q + 652*q = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2 = -2*i, 0 = 110*i - 107*i + o + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 0, -20 = -4*z - 10*k + 15*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 432 divided by -2\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6)*(-78)\/4. Let p(o) = 17*o + 65. Let m be p(0). Calculate the greatest common divisor of m and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.1, -3, -0.5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*f**3 + 159*f**4 - 3 - 9 + 14*f**3 + 14 - 2*f**3 + f**2 to the form m*f**4 + c*f + s*f**2 + z*f**3 + d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-84)\/(-8) + -3)\/(12\/(-16)). Let k be u\/20 - ((-114)\/4 + 1). What are the prime factors of 36\/k*90\/4?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-180)\/42 - (-4)\/14. Let y = -274 + 268. Put y, 5, v in ascending order.\nAnswer: y, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 14538818*u + 4. Let a(w) = -w. What is y(a(x))?\nAnswer: -x**2 - 14538818*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 283210 and 2428470.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhucrqcuuu. Give prob of sequence uuhh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2869, -5793, -8769, -11791, -14853, -17949, -21073, -24219?\nAnswer: -27381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2. Let i(a) = -a + 2. Let n be i(0). Let p(l) = 3*l**n - 5 + 5. Give z(p(w)).\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 3:21 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 8*o**2.\nAnswer: 2*o**2*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*h**3 + 3 + 7*h + h**4 - 8*h to the form v*h**4 + c*h**3 + i*h + j + k*h**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zztz when four letters picked without replacement from zzztzttzttttzzttzz?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -259? (a) 1\/7 (b) -4\/3719 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (8 + -1 + 0 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -227.3 - -417.1. Let m = o - 190. Let p be (-4)\/24 - 28\/120. Put m, 1\/10, p, 0.2 in decreasing order.\nAnswer: 0.2, 1\/10, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 + -122. Solve 0 = -l + 6*l - 5*h + w, -15 = 3*l - 2*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2350*z**2 - 3*z. Let b(m) = 5*m. Determine d(b(j)).\nAnswer: 58750*j**2 - 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -4, -1, -1314 in descending order.\nAnswer: 35, -1, -4, -1314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((-45)\/(-3))*9\/9*22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) 5 (c) 6 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -702 + 1297. Suppose -7*d = -2*d + u. Let y = -52 - d. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three fifths of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4\/8 - 25*t**3\/4 + 695*t**2\/8 - 875*t\/4 + 138 = 0.\nAnswer: 1, 2, 23, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 133273.1ml in litres?\nAnswer: 133.2731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -48. Let m = n - 1. Let a = m - 22. Calculate the remainder when 44 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1355, -4436, -9563, -16730, -25931?\nAnswer: -37160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 5) to base 14.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 2382448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -29, 19\/3, -0.1, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1626 divide 57467718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -19594*t. Let n(k) = -3*k. Determine z(n(m)).\nAnswer: 58782*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/60 + 13*z**4\/24 - 7*z**3\/3 + 154*z**2 - 3*z. Factor w(a).\nAnswer: (a - 1)*(a + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2513, -1\/3, 3, 1, -1\/9, -2\/7?\nAnswer: 2513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + 7*z + 2. Let p(o) = o**4 + 5*o**3 + 14*o + 5. Let h(s) = -5*f(s) + 2*p(s). What is the second derivative of h(g) wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 4:02 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-18))\/(5\/(-15)*-1)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -49*g**3 - 442*g**2 + 76. Let s be b(-9). Let c = -15 + 11. Put s, 4, c, 0 in descending order.\nAnswer: 4, 0, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3927*d**3 + 16160 wrt d?\nAnswer: 11781*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.33 from -17.729113304274.\nAnswer: -17.399113304274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8))**7\/((r**15*r)\/(r*r**(2\/5))) assuming r is positive.\nAnswer: r**(-353\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 606720.\nAnswer: 606720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 8:20 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -5 + 3)\/(4\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -451469442.0000202 + 451469507. Let y = i + -65. What is y rounded to six decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -20. Let p be 3*(0 + -1) - m. Suppose -8*b = -5*b - p. Solve -s = -3*r - 2, 3*s + 2*r - b = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -12. Let q be 51\/(-4)*48\/(-9). Suppose x = v + 3*v - q. Calculate the highest common divisor of v and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 6*c**3 + c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2489*z + 91250. Determine k(-36).\nAnswer: 1646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = 0, -5*y = -5682*k + 5683*k - 3. Let j be (-10)\/11*1\/4. Which is greater: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 18475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -38, -40, -42, -44, -46?\n\"Answer: -2*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31658 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -218, -3, 2 in decreasing order.\nAnswer: 2, -3, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*t**2 + 685624*n**2*t + 90404*n*t**3 wrt t.\nAnswer: -2*n**2 + 542424*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 4*n - 3*n - 5*n. What is the tens digit of g(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.278483.\nAnswer: -0.835449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:28 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s. Let o(u) be the second derivative of u**4\/3 + 4*u - 6. Calculate x(o(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3)\/n)**(-14\/13))**(-25)\/(((n\/(n\/(n*(n**0\/n)\/n)))\/n*n)**(-41)*(n*n**(2\/13))\/n*n*n*((n\/n**(-2\/5))\/n)\/n*n) assuming n is positive.\nAnswer: n**(-11993\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43314 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14150703?\nAnswer: 3, 7, 359, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/sqrt(3) - (sqrt(34)\/sqrt(2) + 2 + sqrt(17)) - -2*(-1*sqrt(153) - sqrt(153))\/sqrt(9).\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26200.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {x: 2, a: 3, v: 7, q: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 4. Let s be i(6). List the prime factors of (44\/(-8))\/((-1)\/s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -56547 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/3 - 764*k**2 + 451360*k\/3.\nAnswer: -4*k*(k - 155)*(k + 728)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000067978 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 15740.\nAnswer: 15735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooopopopoo. Give prob of sequence oppp.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 282560.34 nanoseconds?\nAnswer: 0.000004709339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 330713964 by -36745996.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 5316*k**2 - 15927*k - 10614.\nAnswer: -3*(k + 1)*(k + 2)*(k + 1769)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1505104*i**2 - 2188099*i.\nAnswer: 3010208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 220102 divided by 110051\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -25. Suppose -9 = 4*n + 11. Let q = n + x. Solve 3 = -q*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320409263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 3:05 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 11 (b) -1 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1092938 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(0 + sqrt(50) + sqrt(50)) + -2).\nAnswer: -80*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (1 - (-6 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/3)*x**(-3)\/x)\/(x**(2\/37)*x**(-4)*x))**(-10) assuming x is positive.\nAnswer: x**(-310\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 505475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3538*t + 3538*t + 14*t**2. Let l(c) be the second derivative of 10*c**3\/3 - 138*c. Calculate l(k(i)).\nAnswer: 280*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12596422, -25192855, -37789288?\nAnswer: -50385721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2. Let h(t) = -t**2 + 2*t. Let d be (-11)\/7 - 105\/245. Let x(i) = 13*i**2 - 4*i. Let s(a) = d*h(a) - x(a). What is w(s(p))?\nAnswer: -121*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-136)\/40 - (-13728)\/195.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 93.\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 4*k - 3. Let x be m(-5). Let d be (-1)\/(-4) + 10\/x. Let y be (-3)\/(-1)*2\/(-15). Which is the nearest to 2\/3? (a) d (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**2 - 6*c + 16. Let x(j) = -j**2 + 2*j - 1. Calculate l(d) + 3*x(d).\nAnswer: 4*d**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 40*w**2 + 113*w - 74. Let g be h(37). Put -16, 1, -1, g in ascending order.\nAnswer: -16, -1, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/28*-6*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 17*j**5\/20 - j**3\/6 - 25*j**2 - 49*j. Differentiate n(m) with respect to m.\nAnswer: 51*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b**(2\/23)\/b))))\/(b\/(b**(-5)\/b)))**(-2\/7) assuming b is positive.\nAnswer: b**(234\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2653 + 30?\nAnswer: -2623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1. Suppose -32 = -b - 3*b. Let g(o) = -4*o + 0*o - 2 + b + 3*o. Let j be 15\/(-8) + 1\/(-8)*1. What is j*g(z) - 11*m(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**18*x*x\/((x**(-15)*x)\/x)*x**(-2)\/x**(-16) assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1130622 divided by 45.\nAnswer: 376874\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 79387300 to the power of 1\/2, to the nearest integer?\nAnswer: 8910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from nssnv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8269 - 8269 + 260*p in the form t + o*p and give o.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 268660542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -84415 (base 12) to base 6\nAnswer: -3414425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 16304?\nAnswer: 16306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 + 13*x**2 - x - 9. Give v(-5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 13 + 16*r - 4 to the form n + y*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ececccecccccccc. Give prob of picking 1 c and 1 e.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 1) + -2)\/(2\/(-17))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-9 - (6 + 0))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 6 - 26. Suppose 0 = 3*i - 2*b - 628, -i - 2*b + 3*b + 211 = 0. What is the remainder when (-6)\/(-63) + i\/42 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.915102 litres to millilitres.\nAnswer: 2915.102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/589421 and -51\/2983192?\nAnswer: 146176408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4125623, -4125624, -4125625, -4125626?\n\"Answer: -k - 4125622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1\/6 (c) 2 (d) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**3 + 403*h**2 - 3233*h - 11. Calculate the least common multiple of j(8) and 1441.\nAnswer: 21615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99021?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 8059186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(1\/12))*x*x)\/x**(-3\/5)*(x**(-2))**(2\/37))**(5\/7))**(-42) assuming x is positive.\nAnswer: x**(-5347\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 15\/8 (c) 2 (d) -0.1 (e) -556 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x\/(x**(3\/2)\/x))\/x*x*x**(2\/29)\/x)\/((x\/x**(-20)*x)\/x*x*x**(1\/18)*x*x) assuming x is positive.\nAnswer: x**(-5608\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 17 + 27. Sort -19, 3, r in decreasing order.\nAnswer: 3, r, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/9)\/(w*w**(1\/6))*w\/(w*w*w**(-2\/3))*w**4*w assuming w is positive.\nAnswer: w**(71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4080 = 40*v - 45*v. Is 68 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-4))\/(1\/(-4)). Let v(a) = 0*a + f*a - a + a. Let h(m) = -2*m**2. Determine v(h(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i + 274. Let h be x(-26). What is the tens digit of 1673 + 7 - h\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -452914 divided by -5\nAnswer: 452914\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3 + 51*f**2 - 60*f - 108 = 0.\nAnswer: -18, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 151, 354, 639, 1006, 1455?\nAnswer: 1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*l**2 + 13 + 5*l**2 + 4*l**2 with respect to l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 3*q**2 + 7*q**2 + q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 44724 divided by -4\nAnswer: -11181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8951 times -0.4622\nAnswer: -4137.1522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1aa686 - 5?\nAnswer: -1aa690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6 and ((-30)\/90)\/((-11)\/(-56))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -106, 72 in ascending order.\nAnswer: -106, 5, 10, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5 - 3741*b**4 - 98646*b**3 + 214800*b**2 + 3074400*b = 0. Calculate b.\nAnswer: -1220, -28, -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 331025517 and 1279944.\nAnswer: 2648204136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207882511 a multiple of 7601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-2)\/(4\/6). Suppose -3*p = -k - 13, v*k - 2*k = -p - 9. Let r be (-1)\/k*(-5)\/(-2). Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 8*f + 0*f)*((f - 2*f + 0*f)*(2*f**2 + 4*f - 4*f) + 0 + 0 + 17*f**3) in the form c*f**2 + z*f**3 + d*f**4 + s + k*f and give d.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttfffftfttfttftttu. What is prob of sequence uf?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -9. Let v = -97.3 - -95.3. Which is the third biggest value? (a) v (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 - (0 + 10 - 7) and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2 + 24. Let y = -11 - o. Let h(t) = -t**2 - t - 3. Let q(n) = -n**2 - n - 1. Let s(d) = h(d) - 2*q(d). What is s(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 3:10 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1288736 and 6283.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -35*p**3\/2 - 2353503*p**2\/2 + 3597658*p - 201738 = 0.\nAnswer: -67246, 2\/35, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 5 (b) 3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.187136 rounded to 0 dps?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**5 + 22*q**5 + 5*q**2 - q + 2*q**2. Let m(l) = -8*l**5 - 2*l**2. Let z(s) = 7*m(s) + 2*x(s). Find the second derivative of z(g) wrt g.\nAnswer: -200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1666678*c + 1666678*c - 2919*c**2 + (-6 + 5 + 4)*(-2*c**2 - 3 + 3).\nAnswer: -2925*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**6*y**3 + 61*x**6*y - 2*x**2*y - 130*x*y**3 wrt x?\nAnswer: -240*x**3*y**3 + 7320*x**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 5*l**2 + 5*l + 5. Let z be t(6). Let o = z - -9. Solve 3*p - 3*g - 17 = -o*g, -5*p = 4*g - 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 16. Suppose 2*u + 3*c - 5 = 0, -2*c + 14 = 4*u - k*u. Let y(m) = -m**3 + 6*m**2 + 4*m + 2. Is 25 a factor of y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(27) - 2*sqrt(432)).\nAnswer: 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 46 = 26. Let n(g) = -2*g + 16. Let w be n(6). Suppose 3*y - 183 = -z, z - 3*z = -w*y - 316. What is the greatest common divisor of z and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 1447*u**2 - 1447*u**2 + 2*u + 2895*u**2 - 2*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1230 + -1227. What is the least common multiple of 348 and c?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i - 15. Calculate w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-0.048687\nAnswer: 0.151313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((-1*sqrt(104) - sqrt(104)) + sqrt(104) - sqrt(104))*-4)\/(sqrt(40)\/((sqrt(125)\/sqrt(5))\/sqrt(5))))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y - 7. Suppose -3*z + 2*j = -13, 11 = 2*z - 2*j + 3. Let f(u) = z - 3 - u + 1. Let h(p) = 5*f(p) + 2*n(p). Differentiate h(g) with respect to g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3754605 (base 8) to base 5\nAnswer: 231214400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l + 13 + 7*l - 541*l**2 - 7*l - l + 4*l with respect to l.\nAnswer: -1082*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 4*u + u + 45, -4*u - 31 = -3*r. Suppose r + 17 = 5*m. What is the derivative of m*s - 11 + s + 3 + 3 wrt s?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*u - 24 = 8*j + 10, 12*j + 3*u = -27*j - 123 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2083630.77 microseconds to days.\nAnswer: 0.000024116096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5624 and 2.\nAnswer: 5624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110110001101001101101 (base 2) in base 8?\nAnswer: -46615155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 21. Which is the closest to -2\/7? (a) s (b) -1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9845*o*x**2 - 24110*o*x wrt x?\nAnswer: -19690*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -605\/662 + 7346705\/1986. Which is greater: 3699 or c?\nAnswer: 3699","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.03064 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2209.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 12*h = 10. Let t(z) = -z**3 - 12*z**2 - 43*z - 2. Let o be t(-7). Put 4, h, o in decreasing order.\nAnswer: o, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/4 + 585*p**2\/4 - 5147*p\/2 - 9030 = 0. Calculate p.\nAnswer: -602, -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4959950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7588, -15177, -22766, -30355?\n\"Answer: -7589*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 > 1428\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -6, 2, 0.\nAnswer: -6, 0, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 2*v + 2. Let j(c) = -7*c**2 + 4*c + 9. Let y(r) = j(r) - 3*w(r). Give y(4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 570*u**2 + 1. Let a(c) = -2*c**2 - 4*c - 12. Let p(s) = -s - 3. Let q(z) = a(z) - 4*p(z). Give q(w(d)).\nAnswer: -649800*d**4 - 2280*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37317814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 162*g - 44. Calculate the lowest common multiple of s(2) and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 1. Let a(f) = -71*f**2 - 1 + 71*f**2 + f**3. Let n(d) = -d + 2. Let p be n(5). Give p*b(h) - 4*a(h).\nAnswer: -h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -t + 154. Solve 0 = -t*g + 2*g - 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-6)\/(-7)*196. Suppose -4*q = -2*q - o. Suppose 5*g - q + 24 = 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40986 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 2:50 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.29 + -27.19. Let w be -2*(-3 - (-18)\/(-4)). Let g be w\/(-36)*6\/20. Put g, a, -11 in decreasing order.\nAnswer: a, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*((sqrt(539) + -1 + -2 + 5)*-3 + -3).\nAnswer: -63*sqrt(11) - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -243 + 42*c**2 + 243 + (-2*c - 16*c - 4*c)*(3*c - 2*c + c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 3791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 333\/4 <= 207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.354455 years?\nAnswer: 76.25346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (39 - 41)*(-62)\/4. Calculate the greatest common factor of j and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 675 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 260, 268, 286, 320, 376, 460, 578, 736?\n\"Answer: j**3 - j**2 + 4*j + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31979909 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkc when three letters picked without replacement from {k: 2, c: 1, d: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2815\/3 - 939. Let c = 7.04 - 0.04. Put i, 0.1, c in descending order.\nAnswer: c, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 1 - 59. Suppose -2*u - y + c = 0, 8*u + 5*y - 40 = 3*u. Calculate the highest common divisor of u and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*d**4 + 186*d**3 + 123*d**2 - 78*d = 0. What is d?\nAnswer: -1, 0, 2\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*j - 3*j + 2*j)*(0 + 0 + 2) + 0*j + 3*j - j + 3*j + j - 2*j + j - 4 + 4 + j + 2*j - j + j - 2 + 2 + (3*j - 3*j - 2*j)*(0 + 0 - 1))*(-2 + 1 + 3).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 91729?\nAnswer: 550374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64611102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - ((-2)\/12 + (-1)\/((-18)\/(-105))). Let o(c) = c**2 - 14*c - 1. What is o(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 295897.572 rounded to the nearest one thousand?\nAnswer: 296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10421.8645 + 10339.9. Let w = -82 - v. Let x = 0.03 + w. Round x to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -14*l**7 + 266*l**6\/15 + 25*l**5\/3 - 79*l**4\/9 - 16*l**3\/9 + 8*l**2\/3 + 20*l. Suppose n(d) = 0. What is d?\nAnswer: -1\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (26 - 4 - 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d + 3*x + 6 = 39*d, -4*d = 2*x + 16. Sort -11, 1, -5, d in increasing order.\nAnswer: -11, -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1742 and 14?\nAnswer: 12194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-950)*5*-19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:58 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 42 + 69. Let z be w*-1 - (-35)\/(15 + -8). Let f = -208\/5 + 41. Which is the biggest value? (a) f (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 10*b + 132. Let w be r(-16). Are w and 810\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - f - 2*f + 0*f. Let m(y) = -y**2. Give m(r(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.000001856 + 3. Round r to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/((-9672)\/(-819)))\/(2\/(-6 + -2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4503 - 0.5497. What is the biggest value in -0.1, -4, 7, m, -2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72, -75, -80, -87, -96, -107?\n\"Answer: -c**2 - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 41 - 8)*(-w - 6*w + w) + w + w - w.\nAnswer: 589*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - -1 - -3) + 0. Let g be (1 + -58)*4\/p. Let l be (g + -2)\/(-3)*19. Calculate the greatest common factor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-35) - 2\/(28\/(-38)). Which is the second biggest value? (a) 2 (b) 1 (c) -0.3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbsmfuffsbaa. What is prob of picking 1 b, 1 f, 1 m, and 1 s?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + x + 4. Let y be q(0). Suppose -u - 36 = -y*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*m + 171979 = 1918082. Is m 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 y when two letters picked without replacement from cyyycyyryccry?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7360170 to the nearest 100000.\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -82*m - 1. Let r(o) be the second derivative of o**7\/1260 - 27*o**4\/4 - 3*o + 6. Let p(f) be the third derivative of r(f). Calculate p(a(w)).\nAnswer: 13448*w**2 + 328*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 26*n + 51. Let l(b) = 210*b + 425. Let r(x) = 3*l(x) - 25*m(x). Let g(o) = 666*o. What is r(g(y))?\nAnswer: -13320*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113 + 343\/3. Put -2\/33, 0, b in decreasing order.\nAnswer: b, 0, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11926 - 11928. What is the fifth smallest value in 3\/8, 2\/19, -5, m, 1\/31?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*c = 0, 5*o - 4*c + 32 = 8*o. Suppose -o*y = -5057 - 6175. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2 (c) -0.2 (d) -3 (e) -5\/13 (f) 0.57 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188.8 - 189. Is -14.6 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/4 - 24382785*m\/4.\nAnswer: 3*m*(m - 8127595)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -4 + (2 - (10 - -4))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 7724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1143*y - 618*y + 782*y + 389*y to i + l*y and give l.\nAnswer: 1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 147917614 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/17 (b) -1\/3 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywb when three letters picked without replacement from gwgwbabqggawywbqaww?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2*s - 6059686, 21*g + 4*s = 26*g - 15149209. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 215, 241, 287, 359?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 13*f + 42. What is g(-7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/4, -0.81, 1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 171310981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 - 2*d**3 - d**3 + 149*d + 100*d**3 + 112*d - 269*d + (1 - 1 - d**3)*(1 + 1 + 0) to v*d**3 + z*d**2 + b*d + i and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29520 and 4715?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59cc2a - -37?\nAnswer: -59cbc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11011013 (base 4) to base 3\nAnswer: 1001112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(68)*-2*-6 + sqrt(68) + 3*(sqrt(68) + -2))**2*6.\nAnswer: -1920*sqrt(17) + 104598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 15 = 0, 0*v - p + 31 = -3*v. Calculate the common denominator of 2242\/(-208)*-1 + (-40)\/260 and (-45)\/v*100\/18.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -13903771?\nAnswer: -13903770.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8516 is divided by 2836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25d9 + -1e8?\nAnswer: 23e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a**(-1)*a*a*a)\/a)\/a)**(-16)\/((a**(2\/11)\/a)\/a)**(1\/50) assuming a is positive.\nAnswer: a**(-2638\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*j = 188*j - 111720. Is 95 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/(sqrt(243) + sqrt(243) + sqrt(243)*3 + sqrt(243)) + -5)*2 + 0)**2.\nAnswer: -20*sqrt(2)\/27 + 72902\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.337? (a) -0.04 (b) -0.3 (c) 0.09 (d) 0.2 (e) 0.94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 d when four letters picked without replacement from ddnnndnndndnndnnndn.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/300618 and -49\/54?\nAnswer: 300618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 4 + (1 - 3). Let w be ((-3)\/(-6))\/(h + 0). What is the closest to -1\/4 in 2, 2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 8*h - 0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - a**2 + 2*a**2)*(3 - 3 + 2) - 8 + 1 - 2070*a**2 + 1637*a**2.\nAnswer: -435*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2985944*m**2*u*v + 24*m**2*u + 1104*m*u*v + 163*m*u - 2*u - 14 wrt m?\nAnswer: 5971888*u*v + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -992.2 + 993. What is the second biggest value in -0.4, b, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*k**3 - 1\/2*k**2 + 1 - 1\/2*k**4 + 3\/2*k.\nAnswer: -(k - 1)*(k + 1)**2*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1056471287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b**2 + 2*b**2 + b**2 + 50*b + 30 - 155.\nAnswer: -5*(b - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.633 - 7.287. What is c rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143622 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.8 and 9.\nAnswer: 34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 477, 847, 1217, 1587?\n\"Answer: 370*f + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(891) - (4 + -1*sqrt(891) + sqrt(891)))**2 - -6*(sqrt(1100) + 0)*4.\nAnswer: 960*sqrt(11) + 89116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-57)\/(4 + 53\/(-13)). Let p be 10\/(-35) - l\/(-21). Let t = p - 29. What is the highest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (15 - -10) - 17) + -5 + (-1 - 1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -32*m**2 + 217*m + 47. Let j be u(7). Which is the nearest to 967? (a) 0 (b) 2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from xzx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -214004 (base 5) in base 3?\nAnswer: -101010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*l = 1088, g - 538 = 2*g - 4*l. Let c = -202 - g. What is the highest common divisor of c and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 divided by -3?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131\/5 or 3.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4764 is divided by 1159?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Solve 209*q = 205*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/(-12))\/(77\/28 + -3). Suppose -18*y + 17*y = 0. Solve y = -s + 11 - b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.27 * -0.06.\nAnswer: -0.1362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13842, 27687, 41532, 55377, 69222?\nAnswer: 83067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21121 + 25060. Calculate the smallest common multiple of p and 143.\nAnswer: 43329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-22)\/(-84))\/11)\/(44\/154).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8014*r**4 + 29*r**2 - 23 wrt r.\nAnswer: -192336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {b: 2, v: 2, h: 1, u: 1, i: 1, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 53, 92, 129, 164?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 3*w - 4*w)*(-14 - 12 + 5) + 3*w + w - 2*w.\nAnswer: 23*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 2 (b) -2\/9 (c) 1 (d) 3.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/3 of a minute in seconds?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 539244 and 1348110.\nAnswer: 2696220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 399*d**3 + 392*d**2 wrt d?\nAnswer: 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, a: 6}. Give prob of sequence gga.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96610888 to the nearest integer?\nAnswer: 9829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l + 218. Let i be p(-24). Suppose -2*c - 6*j = -7*j - 107, i*j = 5*c - 266. What is the smallest common multiple of c and 32?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5277639.7 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-75)*2 + (-4)\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 883 = 222. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953171 divided by -166?\nAnswer: -1953171\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165 + 96. What is the units digit of n*-1*(-8)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 40*r - 40 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3833946 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14918896, 14918899, 14918902, 14918905, 14918908?\n\"Answer: 3*p + 14918893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 11*w**2 - 9*w + 11. Suppose -z - 6 = d + 3, 0 = -2*d + z - 21. Let s be m(d). Is 67\/s - (-16)\/(-4) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2. Let h(r) = -235*r**2 - 4*r - 4. Let d(y) = y + 1. Let z(w) = 4*d(w) + h(w). Calculate z(l(q)).\nAnswer: -940*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 7:23 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -21\/2*z**2 - 7\/6*z**4 - 9 + 0*z**3 - 21*z. Let b(y) be the first derivative of k(y). Differentiate b(m) wrt m.\nAnswer: -28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -101123, -201880, -302637?\n\"Answer: -100757*y - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 3*w + 4. Let b be v(-3). Suppose -3*x = h - 350, -2*x + b*x - 240 = -2*h. Is x + (-1 - (-3 + 2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - b**2 + 383*b + 69. Let s be v(-20). Solve 7 = s*u - 29 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8386.37 to the nearest 10.\nAnswer: 8390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58749317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82 (base 9) to base 16.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*n + 60*n - 2533 = 1975 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -224 less than 28371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38075, -76131, -114187, -152243, -190299, -228355?\n\"Answer: -38056*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*j - 16, 3*j + 0 = 4*h - 18. Let p(o) = -o**2 + 14*o - 3. Let s(q) = 2*q**2 - 29*q + 6. Let b(u) = 13*p(u) + 6*s(u). Determine b(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -4 (b) 0.5 (c) 1\/139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 471*m**2 - 96*m - 154. Is s(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 12:25 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 907 (b) -0.23 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 - (-3)\/2. Suppose 3*l - 11 = -y*z, -4*z + 2*l + 24 = 6*l. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 13*d + 2. Let x be w(7). Suppose -12 = -6*f + x*f. Which is the second smallest value? (a) f (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36615.696 rounded to the nearest one hundred?\nAnswer: -36600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 9*l - 97 + 234 + 339 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 559 - 25. What is the remainder when s is divided by (-242)\/(-8) - 46*(-49)\/(-9016)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3646701 and -0.4?\nAnswer: -1458680.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -30*v + 27*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-46270)\/(-2644)*8\/7\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/974 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**3\/6 + x + 6. Let c = 3732 + -2373. Let m(o) = -2*o**2 - 1359 + c. Give y(m(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) -15 (c) 0.3 (d) 1\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m**2 + 5*m - 4. Let k(y) = -y**2 - 2. Determine -c(t) + 2*k(t).\nAnswer: 6*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71570, 143129, 214680, 286223, 357758, 429285?\nAnswer: 500804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/155)\/((-8)\/(-60))*(-80)\/3?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 786 (base 9) in base 13?\nAnswer: 3a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*a + 37. Let s be a\/((-3080)\/(-12867)) + (-2)\/(-10). Let v = s - 240\/11. What is the common denominator of -53\/6 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1482 = -2*x + 6*x, 9 = 3*x. Suppose -q = 7*b - 11312. What are the prime factors of b?\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - 1 + 1 + 17*h - h - 5*h - 1 + h + 1 + (1 - 3 + 0)*(0 - 2*h + 0) + 3 + 2*h - 3 to i + k*h and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 552 divided by -23\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1608 - -1610. Factor -9\/2*a**v + 9*a + 3\/4*a**3 - 6.\nAnswer: 3*(a - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1994 + 2039. What is the remainder when 1619 is divided by k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47868 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**3\/3 + 4*w**2 + 2*w - 8. Is u(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9067 + 15956 = 86*s + 5243. Calculate the highest common factor of 2668 and s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.42 + 0.43. Let z = 0.3 - m. Let n = 1.5318 + z. Round n to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2\/(-18)) + 255\/135.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34246132.17 rounded to the nearest 1000?\nAnswer: -34246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268, 536, 804, 1072, 1340, 1608?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 37. Let f be 123 + (k - 18\/(-3)). Calculate the greatest common factor of f and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, -3, -2 in decreasing order.\nAnswer: 89, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*z - 2*z = 30, -5*z = 25. Let g = 16 + c. What is the least common multiple of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5169 (b) 0.9 (c) 3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:15 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-5 - -2 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/256887 and -121\/28152?\nAnswer: 2055096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41\/2 of a kilogram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122013 minus 5721003?\nAnswer: -3598990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 3\/5, 2, -9.7, 5\/6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2830976886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1675491 (base 11) to base 9.\nAnswer: -5320142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 13*l**2 + 8*l + 33. Let h be q(-14). Let x = h - 76. Suppose 43*t = x*t + 3070. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/40)\/((-55)\/25)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 6*l**2 - 2*l + 1. Let i be u(-6). Suppose 9 - 39 = 5*m. Let n = m + i. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(57)\/(sqrt(3)*-1) + 5*sqrt(19) + 1 + -5.\nAnswer: -sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6\/z*z*z**(1\/8)\/z)**4\/((z*z\/(z\/(z\/z**(-1\/2))))**42*z**0*z\/(z*z**(-2\/5))) assuming z is positive.\nAnswer: z**(-809\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 38. Let s be (-39)\/2*(-4)\/6. What is the greatest common divisor of m and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12134 (base 8) to base 11\nAnswer: 3a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*k**2 - 2 + 18*k**3 - 6*k**2 + 22*k**3 - 41*k**3 to the form t*k**3 + p*k**2 + h*k + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (265*x**4 - 378*x**4 - 83*x**4)*(5*x - 4*x + 0*x).\nAnswer: -196*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212918303 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38661*l = -38575*l - 344 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2300 + -1921. Calculate the remainder when q is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 + 64*x**4 + 47328*x**3 + 1671368*x**2 + 3012964*x - 4731720 = 0.\nAnswer: -70, -43, -3, 1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 20. Suppose 0 = -w*x + 2*k + 6, 0 = 4*x - x - k - 4. Let t(v) = -v - 5. Let m be t(-6). Solve m - 9 = x*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116782380 a multiple of 6446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.101973 to three dps.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*l + 200 = -6*k + 75*l, -4*k + 4*k + l - 1 = 0 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.016.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -209, 2, -16, 643, 0.\nAnswer: -209, -16, -2, 0, 2, 643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 2?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10824585.\nAnswer: 3, 5, 19, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022 (base 6) in base 2?\nAnswer: -1010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 29. Suppose -v - 7 = 3*o, 6*o - 4*v - 11 = o. Put o, 0, z in decreasing order.\nAnswer: z, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 3243*j**2 + 3*j + 12*j - 3248*j**2.\nAnswer: -5*j**2 + 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 267?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Suppose -2*k - 115 = -4*o + 23, o = -4*k + 12. Suppose 4*y = -b*s - s, -4*s + 4*y = -o. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9542)\/(-130) + (6\/(-15) - 0).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -2\/25, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 63689 = -5*n + 186129. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -86 (b) 4 (c) -5\/4 (d) -20\/9 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + 2*u + (2 - 6 + 3)*(-4*u + u + u) + 2 + 4*u - 2)*(235*u**2 + 19*u**4 - 235*u**2).\nAnswer: 171*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-70)*7)\/((-4)\/6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9955321 to the power of 1\/2, to the nearest integer?\nAnswer: 3155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3, 0 in ascending order.\nAnswer: 0, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -331123820 to the nearest 100000.\nAnswer: -331100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 1, n: 1, e: 1, z: 1}. What is prob of picking 1 x and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -346521 - -346528. Let h = -0.1 + -4.9. What is the third smallest value in h, -7\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79.34 - -75.34. What is the nearest to -4 in b, 1.1, 22?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 621932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4907\/584 + 69\/146. Let x be (-14)\/2 + 1 + 2. Find the common denominator of q and -8 + 5\/(-40)*x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -4 + (-78 - -100).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*g*p**2 + 5*g*p - 18*g + 415*p**2 - 3*p wrt g.\nAnswer: 32*p**2 + 5*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 99, 219, 385?\n\"Answer: 23*m**2 + 5*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(252) + 0)**2 + (5*(0 + sqrt(252) + 2))**2.\nAnswer: 636*sqrt(7) + 6661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 317439023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*y - 76 = -311 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {k: 1, f: 5, z: 2, m: 3, s: 8}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.1, -0.01, -2, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f + 2. What is g(5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 5\/3 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2350 and -0.01?\nAnswer: -23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11*j + 1. Let d be k(-1). Let y be ((-1)\/10)\/((-3)\/d). Let c = -43441 - -260647\/6. Sort c, -0.4, -1\/10, y.\nAnswer: -0.4, -1\/10, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 f when three letters picked without replacement from {o: 1, f: 2, i: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 5*i + 0*i + (-18*i + 55*i - 12*i)*(6 - 4 + 0) + (4 - 5 + 5)*(-6*i + 6*i + 4*i) - 2*i - 4 + 4.\nAnswer: 66*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -53 (b) -11 (c) -7 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1415 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22861, 45757, 68701, 91699, 114757, 137881, 161077?\n\"Answer: a**3 + 18*a**2 + 22835*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -385 - -388. Let d be (-183)\/(-427) + ((-57)\/28)\/z. What is the second smallest value in 0.02, d, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -3*i**6\/10 + i**4\/12 - 10*i. What is the third derivative of l(a) wrt a?\nAnswer: -216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = 2*i - h + 6*h, 4*h = i - 189. Let w = i - 134. What are the prime factors of w?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 5:25 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*r**2 + 3 - 13\/4*r = 0. What is r?\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 z when three letters picked without replacement from {e: 1, w: 7, v: 2, z: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 4, -2.\nAnswer: -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:35 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -321 - -766. Suppose 3*i = 4*h - f, -4*i + 595 = 4*h + h. Calculate the highest common factor of h and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3))**34)**(-46) assuming h is positive.\nAnswer: h**(1564\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 13*g = 24. Suppose 4*b + 2*i = g, 0 = 3*b + 2*i + 3*i + 1. Solve -4 - 2 = b*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 17 = -5. Suppose -5*x - 4*j - 3 = -6, -t*x = 2*j - 3. Let q = 40 + -45. Sort -2, 1, x, q.\nAnswer: q, -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 53. Let r = y - 14. Calculate the remainder when r is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1306746 (base 8) to base 13.\nAnswer: -c98b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*2\/(-4))\/(-6). Let n = 204 + -274. Let h = n + 70.1. What is the nearest to h in w, 8, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 4, 18, 34, 52?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 836 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.45?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 91.259*0.279\nAnswer: 25.461261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -11102?\nAnswer: 11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 11:27 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-287)\/(-616) + 4\/22. What is the closest to 0.4 in 1\/5, -3, j, 9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 64 = -3*q, -448*z - 2*q - 36 = -893*z + 445*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -45*i. Let j(w) = 44 - 44 + 2*w. What is j(z(l))?\nAnswer: -90*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c - 118. What is m(-23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/((-1)\/18). List the prime factors of n\/6*(2 - 10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*q**3 - 2846274*q**2 - 962861910*q?\nAnswer: 702*q - 5692548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 74*-0.0561\nAnswer: -4.1514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1213, -2426, -3625, -4804, -5957, -7078?\nAnswer: -8161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -590433.1 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 720159 and 1221.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*y = 155*y - 6711074 + 6748919 for y.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:00 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 111.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 88397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47733785 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: Suppose -5*f + 4*t + 20 = 0, -5*f + 3*f - t = -8. Let v be (-3 - (-14)\/6)\/((-1)\/666). Let m(z) = -v + 2*z + 441 - 3*z. Calculate m(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18417*f**2*r**4 - 42*f**2 - 18*f - 2 wrt r.\nAnswer: 73668*f**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3 - 9. Calculate the remainder when (1 - 3)*(v + -7) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46927193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/(-182))\/1*3\/12.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 29120 = -4*p. Suppose 0*x + p = -4*x. What is x rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 12 - ((-1 - 1) + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 30558*t + 987. What is the tens digit of o(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 q, and 1 s when three letters picked without replacement from xvxsq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.008 - -24.932. Let p = 26 - t. Let a = p - -0.08. What is a rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27470920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33501 from -1220408.\nAnswer: -1253909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58054898653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 100 = 6*t. Let w = 15 - -87. Let i = w + t. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*q**2 + 17*q**2 - 3 - 1 - 8*q**2 + 3 to the form n*q + b + x*q**2 and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2321*n - 5 + 1 + 7051*n to x + a*n and give a.\nAnswer: 4730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**2 + 2*m - 1. Let f(b) = -b**2 + 1. What is -4*f(d) + i(d)?\nAnswer: -2*d**2 + 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 3912*i + i**2 - 3912*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -634329 by 3.\nAnswer: -211443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 503 and 920993?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-20)*358)\/(2\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3638 + 50931\/14. Sort -5, 5, o, -20, -3 in descending order.\nAnswer: 5, o, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from umuuuleujlljw?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccwviwpppwlll. Give prob of picking 1 w and 2 c.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -147, 340, 1145, 2262, 3685?\n\"Answer: -k**3 + 165*k**2 - k - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.09 - 0.09. Let s(l) = -l**3 - 10*l**2 - 17*l - 12. Let c be s(-8). Do t and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2577 = -49273. Let p = 525293\/45 - b. Find the common denominator of -16\/33 and p.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -78*(3 - (-77)\/(-21)). Let g be d\/65*-5 + (-14)\/(-1). Solve 13 - 43 = g*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4101*0.1\nAnswer: -0.04101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 53. Suppose -4*b + 69 = 5*i - 1, -u*i + 6 = 0. Solve -3*x + b = -0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**4 + 265*u**3 - 2*u**2 + 4061*u wrt u?\nAnswer: -12*u**2 + 1590*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190385?\nAnswer: 5, 13, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 8*w - 11. Let c be i(10). Let r(z) = z - 8. Let d be r(c). Is d != 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16227783 and 1026675?\nAnswer: 3159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, c: 7}. Give prob of picking 4 c.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 9:31 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2830523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6 + 6 - 13*y - y**3 - 57 - 7*y - 6*y**2. What is the lowest common multiple of 4 and d(-6)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26940870 divided by -99781?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*z - 15 = 104*z, -12*o - 3 = -14*o - z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1488*q**3 - 2981*q**3 + 1494*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 85156, 1\/9, -2\/3 in descending order.\nAnswer: 85156, 1\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231630553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-210))\/(2\/12). Suppose 5*s = g - 23 - 3, 0 = 5*g + 4*s + 15. What is the third smallest value in a, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*v + 151 + 569 = -121*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*v + 42. Suppose -5*k - y + 415 - 152 = 0, -3*y + 153 = 3*k. Calculate the remainder when k is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 704923*s + 5639386. Calculate k(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -378, -371, -350, -309, -242, -143, -6, 175?\n\"Answer: g**3 + g**2 - 3*g - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-575)\/(-46) - 12)\/(4\/(-128))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*j + 5*m + 2, -23*j + 27*m - 24*m = 147 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(8)\/(sqrt(12)\/sqrt(3))))\/(sqrt(36)\/(2*sqrt(3)) - sqrt(12)*-1*-5).\nAnswer: -2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -559 in 22\/3, 43, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:08 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13*o - 37. Let t(f) = 7*f - 19. Let j(c) = 6*i(c) - 11*t(c). Suppose -15 - 15 = -2*h. Calculate the lowest common multiple of 2 and j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d + 6 = 3*b - 47*d, -b + d + 3 = 0. Sort -5, b, 132.\nAnswer: -5, b, 132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v + 414. Let a(s) = 21*s + 1585. Determine -6*a(i) + 25*k(i).\nAnswer: -i + 840","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -654.\nAnswer: 1\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = -10, -2*l + 5 = a. Solve 14 = l*d + 39 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-9)\/27*-9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtgtxgxgggggxxg. Give prob of picking 1 x and 2 g.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -350019 + 10155975\/29. Let o = s - 187. Suppose 0 = 3*z + h, 0 = -0*h - 3*h + 9. Which is bigger: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2057*m**3 + 3*m**2 + 5*m + 3. Let s be g(-1). Let p be 11\/(308\/s) - 3\/(-7). Let n = p + 73. Solve n = 3*q - 0 + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -1\/4, 1 in increasing order.\nAnswer: -1\/4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q - 42*q + 13 = -f, -6*q - 2*f + 6 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 0 + 7\/4. Let a = -3\/2 - -1. What is the nearest to -0.1 in g, a, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from skksjssjjjskfji?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 24*n + 92 = 0. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcceccbpbe. Give prob of picking 1 b, 1 p, and 2 e.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 14*g + 50. Let x be n(-6). Let l(k) = 6 + 4*k**x + 7*k**3 - 11 + 6*k**3 - 9*k**2. Let f(a) = -19*a**3 + 7*a**2 + 7. What is -5*f(t) - 7*l(t)?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = z - 0*z, -7 = -s - z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/12 + 11*y**3\/6 - y**2\/2 + 7*y. Calculate the remainder when j(8) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 1\/10*d**5 + 2*d + 0 - 1\/5*d**6 + 0*d**2 + 5\/18*d**4 + 1\/9*d**3. Factor x(l).\nAnswer: -2*l*(l - 1)*(3*l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:21 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38638.\nAnswer: 2, 19319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 15. Suppose -2*o = 4*n - q, -4*n + 9*n + o - 24 = 0. Suppose 1 = -2*y - n*a, -3*a + 6*a + 9 = 0. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -37. Suppose -w = -s - z, -s = -2*w - 0*w + 39. Calculate the highest common factor of 12 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 46. Let d = -0.3 - 1.7. Which is the nearest to d? (a) l (b) -2\/9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 0 + 7 - (2 - 1348)\/(18\/171)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14873 + 1581305.\nAnswer: 1566432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29\/24 + 35\/24. Let f = 0.07 + 0.93. Which is the smallest value? (a) f (b) 1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 1. Let h(f) = -8*f. Give h(o(u)).\nAnswer: 16*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/7 (b) -4 (c) -2 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 60 = -9*t, 2106*k - 2107*k = -3*t - 30 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 9 - 14. Suppose -4*i = 3 - t. Suppose -2*s = 3*r - 90, -i*r - s = 4*s - 155. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - -14 - (-5 + 6). Let d be 6*(3 - 40\/i). Suppose -4*j - 5*m + 47 = 0, -d*j + 5*m + 20 + 11 = 0. Solve -3*n = s - 6, 3*s - j = -4*n - 0*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3949*g**2 + 3462*g.\nAnswer: -7898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 0*j + 4 - 1\/20*j**5 + 1\/12*j**3 + 1\/24*j**6 - 1\/16*j**4 + 0*j**2. Let n(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 91?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 10*q - 2*q + 28. What is the units digit of k(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from {p: 2, u: 6, l: 7}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -3*g - 32\/3*g**4 + 0 + 0*g**3 + 23\/2*g**2. Differentiate h(d) wrt d.\nAnswer: -256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28\/(181300\/(-105)))\/(3\/(-10)))\/((-24)\/(-6))?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*n - n = -11, -5*d - 15 = 5*n. Suppose -d = 3*y - 4*y. Which is the third biggest value? (a) 0 (b) 2\/11 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 j, and 1 l when three letters picked without replacement from {l: 1, v: 3, j: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00462492 rounded to 5 decimal places?\nAnswer: -0.00462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 17221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1167 at most as big as 2\/1233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003403209 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/100 + 3*c**4\/20 - 9*c**3\/10 - 3*c**2. Factor n(k).\nAnswer: -3*(k - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20234 + 0.01\nAnswer: -20233.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8185*t - 14814 with respect to t.\nAnswer: -8185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:14 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v + 44 = 136 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 266332 (b) -1 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 1 - (61 - 54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6 = -1. Suppose -239 - 86 = -5*o. Let d = 65 - o. Sort -3, d, i.\nAnswer: -3, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2466 + 12333\/5. Put 0.4, j, 1, 4, -4\/7 in decreasing order.\nAnswer: 4, 1, j, 0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z + z**4)*(-2 + 2 - z) - 24*z**5 - 5227*z**2 + 5227*z**2.\nAnswer: -25*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76 + -163717.\nAnswer: -163641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b + 2. Let a be w(1). Suppose a*l = 9*l - 3. Calculate the remainder when 6 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*((-2)\/(-6))\/(8\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/912 and 35\/684.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32533329 to the power of 1\/2, to the nearest integer?\nAnswer: 5704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-199*o**3 - 2*o**2 - 7*o**2 + 200*o**3)*(-1 + 1 + 1).\nAnswer: o**3 - 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b\/(b*b*b**0\/b*b)*b)\/b*b))**(-18)*(b*b**1)**(5\/7))**(-7\/3) assuming b is positive.\nAnswer: b**(242\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -517 divided by -6?\nAnswer: 517\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b - 54 + 28 + 25 + 5 + 2*b - 5 + (-3 + 0 + 1)*(-4 + 4 - 2*b) + 0 - 3*b + 0 - b + 4*b - 4*b.\nAnswer: 11*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 2*h - 3. Let p be m(3). Suppose 0 = 5*y - s - 26, -y - 2*s + 4 + 10 = p. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -13*i**5\/60 + i**2. Let g(c) be the third derivative of -c**5\/60 + 2*c**2 - 1102*c. Calculate n(g(d)).\nAnswer: -13*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x. Let b be k(-4). Sort -5, -2, 5, b in increasing order.\nAnswer: -5, -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 2 + 4*l**3 - 5*l**3 + l**3 + 3*l - l**3. What is the units digit of i(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 175, 351, 527, 703?\n\"Answer: 176*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 405252899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n\/(n\/(n\/(n**(11\/2)\/n))))*n)**(1\/19)\/((n\/(((n\/(n\/((n*n*n**(-39))\/n))*n)\/n)\/n*n*n))\/(n*n*n*(n*n*n**(-21))\/n)) assuming n is positive.\nAnswer: n**(-2079\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10.15 times 0.2\nAnswer: 2.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(5 + 2 - (-667)\/(-87)). Solve 18*u - 12 = f*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*i + 2 = -6, -p + 2*i = 3. Let c(r) = -r**2 - 7*r + 3. Let v be c(p). Solve -4*s + 6*h - 31 = v*h, -s + 3*h - 19 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y - 4*y**2 + 0*y + 0*y - y**3 - 1 + y. Let m = 16 - 21. Let a be 26\/m + 3\/15. Determine d(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-3) + 2\/3. Let l = -10 + 32\/3. What is the closest to l in -1, y, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c - 12. Let w be q(-19). Let p be (-2820)\/w*(-3)\/(-2). Round p to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -451, -843, -1275, -1759, -2307, -2931, -3643, -4455?\n\"Answer: -2*w**3 - 8*w**2 - 354*w - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13451871001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = -309*x + 2850 + 8281 + 1660 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -383.17.\nAnswer: -191.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12312011123 (base 4) in base 11?\nAnswer: 1016179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -745*t + 1456*t + 425*t + 1150*t + 627*t.\nAnswer: 2913*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + u = 12, 21 = 5*t - u + 45 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 6:32 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/10 and 27\/3500.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (70\/21)\/(4\/6). Let x(d) = -6*d**2 + 75*d - 1. Let g be x(12). What is the highest common factor of g and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2437 (base 16) to base 10.\nAnswer: -9271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -0.4, -52 in increasing order.\nAnswer: -52, -0.4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 811178 divided by 7442.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 5463283?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7575 - 53889 = -1182*f for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -364*g**2 + 4*g - 7. Let k(m) = -121*m**2 + m - 2. What is 7*k(j) - 2*y(j)?\nAnswer: -119*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21402117?\nAnswer: 3, 11, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -2 (c) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62\/3 + 19. Let z = 108\/71 - -87068\/639. Let t = 138 - z. What is the biggest value in t, m, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101010 - 1?\nAnswer: 1000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/22308 and 57\/48334.\nAnswer: 290004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1652*p**3*r + 137474*p**3 + 2*p**2*r - 2*p**2 - 2*p*r + 4*r wrt r?\nAnswer: -1652*p**3 + 2*p**2 - 2*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30313300 and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2536744 and 313824?\nAnswer: 30440928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 16 + 4 - -8 - -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 422309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 0*y + 12*y + 117 = 0 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-72)\/(-20) + (-4)\/(-10). Suppose -g = 2*f - 2, 0 = 9*f - 8*f + g - 2. Sort -2, l, 10, f.\nAnswer: -2, f, l, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*f - 3 + 4 + 31*f in the form n + l*f and give l.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/44*(-3675 - -1607).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1614870 and -49\/5050.\nAnswer: 815509350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172221619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 21*l + 294. Let n be y(-14). What is u in 2\/3*u**2 + n + 4\/3*u = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.2, 6764?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 1020)\/(2\/4). Suppose -2*c - 3395 = -5*z, 5*z - 2*z - j = c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**2*p)**(-4\/3))**(7\/3) assuming p is positive.\nAnswer: p**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 703 + -490. Let z = k + -653. Round z to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -318429 + 0?\nAnswer: -318429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34, 33, 30, 25, 18, 9?\n\"Answer: -h**2 + 2*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/(-2) - 2)\/(-1). Suppose -f = t - 3*t. Calculate the greatest common factor of 20 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from ujuuuuujujujjujurujj?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m + 24*m + 165. Let i = 45 + m. What is the highest common factor of i and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-3))\/(4\/6). What is the units digit of i - 3\/((-12)\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -4*o, 177*r + 24*o - 51 + 342 = 86*r + 88*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2457030 to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1330794542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11070 and 2592.\nAnswer: 531360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 31*f**3 - 49*f**2 + 51*f - 1. Let t be p(1). Calculate the greatest common factor of 1888 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Suppose h = m + m - 156. Let p(s) = -1199*s + 4812. Calculate the remainder when m is divided by p(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u - 9 = i, 2*i - 12 = 4*u. Suppose -18 = -4*d + 2*d - 4*l, 5*d - 3*l = -7. Solve i = -x + d - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3918213059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 - b + b + (2*b**2 - 3*b**2 + 3*b**2)*(-6*b**3 + 2*b**3 - 2*b**3) - 2*b**5 + 4*b**5 - 4*b**3 + 5*b**3.\nAnswer: -11*b**5 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -311778 by 6.\nAnswer: -51963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50542 and 228956.\nAnswer: 156376948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117\/78 - 6326\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 320199*j**3 + j + 5486 wrt j.\nAnswer: 1921194*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcjkkjjjeeck. What is prob of sequence jc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3364 is divided by 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*w + 111 = -133 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 36*m - 11016 = 56*m + 76*m for m.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 273?\nAnswer: -136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891)*1 + -2 - (2 + sqrt(891)*-2))*-6)**2.\nAnswer: -7776*sqrt(11) + 289260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 8. Is 13\/(c + (-208)\/212) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412133 is divided by 394.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1131725767 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvzftvvvzovoz. Give prob of picking 1 t and 1 f.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**3\/9 + 5*s**2\/3 - 11*s\/3 + 37. Factor y(q).\nAnswer: (q - 1)*(q + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2186 + -2169. Solve -39 = -i*v + 29 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5845*k - 5845*k - 126*k**2.\nAnswer: -126*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 396*y**3 + 369269*y + 99234348 wrt y.\nAnswer: 1188*y**2 + 369269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1445 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-25*p**2 + 90*p**2 + 154*p**2).\nAnswer: 219*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 3 = -4*n + 5*o, 0 = -n - 5*o + 31. Calculate the highest common factor of 22 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -21*v**2. Let i(m) = -285*m + 2. Determine i(l(j)).\nAnswer: 5985*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-10 - 0) - 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 549*w**2 + 10 - 10 - 756*w**2 - 912*w**2 to the form g + t*w**2 + h*w and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*p + 197*p - 946*p - 61*p - 551*p to o + j*p and give j.\nAnswer: -1268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5549*c**4 + 459 - 1319*c**4 + 1059 + 170 wrt c?\nAnswer: -27472*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -4*m**2 + 0*m**4 + 0*m + 1\/12*m**5 - m**3 + 0. Differentiate c(y) with respect to y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**3 + 0*q**3 + 4*q**3)*(-5 - 2 - 2)*(4*q + q - 4*q) to the form z + s*q**3 + p*q**2 + h*q + c*q**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 0. Let l = r + 4. Let h(o) = o + 7. Let m be h(l). Calculate the greatest common divisor of m and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 10*a - 25. Let g(u) = 2037 + 25*u**a - 2037. Let s(x) = -8*x**2 + 6. Let v(l) = -7*l**2 + 5. Let m(w) = -5*s(w) + 6*v(w). Give g(m(i)).\nAnswer: 100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*z - q, -2*z = 5*q + 7 + 18. Suppose -n - u = -8, 25 = 4*n - z*u - 3*u. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131 + -21. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5890340*47.\nAnswer: -276845980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m - 3. Suppose 3*q + 25 = 8*q. What is x(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -294.9 times 5\nAnswer: -1474.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 12) in base 7?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0 (b) 28 (c) -4 (d) 5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22144 and 1664.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -9*t + 216. Suppose 0 = 1704*u - 1700*u - t. Solve 0 = 4*i + 18 - u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 968 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 116 = -4*m, 13*n - 3*m - 60 = 12*n. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 23 = -q + 3*t, 3*q + 13 = -2*t. Let d(k) = k**3 + 6*k**2 + 6*k + 5. Let s be d(q). Factor 1\/2*g**3 + s*g**2 - 1\/2*g - 1\/4*g**4 + 1\/4.\nAnswer: -(g - 1)**3*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -186262.\nAnswer: 30\/93131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onunonukuun. Give prob of picking 2 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 6*t + 11*t - 171, 4*p = 3*t + 707. Suppose p = 30*z - 8*z. Let o(i) = i - 9. Determine o(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {h: 2, t: 3, x: 7, u: 3, c: 4}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007612 rounded to 7 dps?\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116 and 2030.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261740?\nAnswer: 2, 3, 5, 17, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -542.\nAnswer: -25\/542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8974*d**2\/5 + 1067914*d\/5 - 952\/5 = 0. What is d?\nAnswer: 4\/4487, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1420\/60 - 25)*12\/248.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven quarters of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 7:54 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - j)*(3*j**2 - 3*j**2 + j**3) - j**4 - 3*j**4 + 3*j**4 - j**4 + j**4 - j**4 + j**4 + 1 - 1 - 45*j - 93*j + 36*j + j**4.\nAnswer: -j**4 - 102*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34848, -69711, -104586, -139473, -174372?\n\"Answer: -6*r**2 - 34845*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-7)*a)**(-6\/7) assuming a is positive.\nAnswer: a**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02852835963 to 4 decimal places.\nAnswer: 0.0285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 10 + 7 + 4*r**3 + 8 - 26 - 162*r to the form i*r**2 + b + a*r**3 + y*r and give y.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -43905.08 rounded to the nearest one hundred?\nAnswer: -43900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 17*p + 21. Calculate the remainder when 80 is divided by a(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d - 406 = d - 13 + 671 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*g, -1 = 4*g + 3*t - 0. Let x(r) = r**3 + 4*r**2 - 5*r - 24. Let p be x(-3). Which is the nearest to g? (a) -5 (b) 7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 588 + -562. Suppose 2*m - p - 572 = 0, 23*p - i*p = m - 272. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 21*t + 2. Let w(m) = 10*m + 1. Determine 2*b(f) - 5*w(f).\nAnswer: -8*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7\/3)*x)\/x*(x\/x**(2\/3))\/x)**20 assuming x is positive.\nAnswer: x**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 397, -418, -1639, -3272, -5323, -7798?\n\"Answer: -f**3 - 197*f**2 - 217*f + 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h. Let x(l) = l. Let b be 1 - 29\/(2 - 3). Suppose 3*n + 2*n + b = 0. Let c(o) = n*m(o) - 13*x(o). What is c(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -35a4?\nAnswer: 35a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208689?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 4 + 7 - 3 - 2. Suppose -3 = -0*k + 2*k - 3*d, k - 5*d = -5. What is the units digit of z(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 + 64907 - 129819 + 64912.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/210)\/((-624)\/(-390))\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 64124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8 - 7)\/((-211224)\/42246 - -5).\nAnswer: 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -3430?\nAnswer: 3420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 14, -185, -620, -1369, -2510, -4121, -6280?\nAnswer: -9065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-121)\/(-4) + 2\/(-8). Suppose -12*u + 8 = -8*u. Let p be u\/7 + m\/42. Which is greater: -2\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-6)\/g)\/g*g))\/(g*g**(3\/7)*g)*(g**0*g)**(14\/3) assuming g is positive.\nAnswer: g**(215\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -257\nAnswer: 25.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 2, y: 1, c: 1, t: 3, u: 4}. What is prob of sequence tpk?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -408 > 2.44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/4920 and -77\/25380.\nAnswer: 2081160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3153 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**3\/3 - 3*a**2\/2 - 3*a - 4. Suppose -3*d = -5*d + 10. What is n(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 4:00 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 + -0.01. Let j = r + -0.32. Which is the closest to -2\/5? (a) -1\/2 (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 219881240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 442226?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -3\/2*o**4 + 0*o - 3 - 4*o**3 + 1\/2*o**2 - 3\/10*o**5 - 1\/40*o**6. Let b(t) be the second derivative of v(t). Factor b(u).\nAnswer: -3*(u + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 6, d: 1, x: 2, w: 1, y: 2}. Give prob of picking 1 w and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4545178 and 902.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*n + 34 + 66. Let z be 1\/(-4) + 18\/8. Suppose 2*r + n*d = -d + 12, 2*r - 4*d = -z. Solve 0*m = r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133\/((-9975)\/1550)*6\/(-28)*-1?\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648)*2 + sqrt(8) - sqrt(8)) + -5*sqrt(24)\/sqrt(3))\/(2*6*(sqrt(324)\/sqrt(9) - sqrt(4))).\nAnswer: 13*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/176*30\/1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t**2 - 16*t**3 - 28*t**2 + 52*t**2.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 6:20 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + h**3 - 26)*(-16*h**2 - 8 + 8).\nAnswer: -16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**3 + 10*v**3 + 2*v**3)*(-2 + 2 - 1)*(17*v + 5 - 5) as y + g*v**4 + w*v + z*v**2 + a*v**3 and give g.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.2 or -21.606?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3*9))\/((-54)\/108)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*y - 1)*(57*y + 66*y - 256*y)*((1 + 3 - 2)*(-2 + 4 + 0) - 1 + 2 + 1) to f*y**2 + n + h*y and give f.\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, i: 3}. What is prob of picking 2 i and 2 z?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 46 = -4. Let w = 352.9 - 353. Which is the third smallest value? (a) w (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(5\/8*10)*20.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268928?\nAnswer: 2, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -131*a**2 - 16703811*a\/5 - 25502\/5.\nAnswer: -(a + 25502)*(655*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 2. Suppose 0*l + 15 = -3*l. Let i be z(l). Put i, -1, -4 in increasing order.\nAnswer: -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172491766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 5\/6*c**3 + c + 0*c**2 + 0. Let f(v) = -2*v. What is f(y(i))?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14 - -2)*(-3)\/9. Suppose -v*f + f = -0*f. Solve y + 3*y + 16 = f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2807 (b) -2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 - 98. Let n = 442 - -827. Is n\/18 + u\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85 * 18.\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (323\/(-95) - -1)*3525\/94?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 1, x: 4, m: 10}. Give prob of sequence bx.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100022212 - 110?\nAnswer: 100022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 12*r**2 - 2*r**2 + 3 + 15*r**2. What is the remainder when n(-2) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0 + 8*u**2 + 4\/15*u**6 + 1\/21*u**7 - 5\/3*u**4 - 4\/3*u**3 + 1\/10*u**5 + 29*u. Factor c(s).\nAnswer: 2*(s - 1)**2*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72511213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + 36. Let q = t + 63. Let s = q + -154.1. Round s to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -199\/25 + 44\/25. Which is smaller: -7 or a?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16484 - -16487. Which is the nearest to -3? (a) -0.4 (b) v (c) -4\/17 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -6. What is the second derivative of 0 + 0 + x - o*x - 2*x**3 wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 1, m: 2, j: 1}. Give prob of sequence mmj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 0*q**2 + 0*q**2 + (2*q - 3*q + 0*q)*(-2*q - q + 2*q) + 370*q**2 - 94*q**2 + 95*q**2 to the form w*q + m*q**2 + d and give m.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-137)\/(-7) + 36\/84. Find t, given that 12*t**2 - 7289*t + 4*t**4 - 4*t**5 + 7289*t + a*t**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 48. Let y = -9 - t. Calculate the highest common factor of y and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3274475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -22, 1, -2.\nAnswer: -22, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s. Let j be y(-2). Let r = 43 + -39. What is the units digit of (-4)\/j*138\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 1\/36*m**4 + 0 + 4*m - 1\/6*m**2 + 0*m**3. Factor u(h).\nAnswer: (h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 24 = 3*i, -153607*i = -3*a - 153603*i + 66. Suppose 3*m - 16 = -2*w + 23, 3*m = 3*w - 51. What is the remainder when w is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/8 and (-354)\/20*12\/(-72).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*40\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(81\/(-12))*57. Let o = d + -71. Suppose -3*f - o*v = -3198, -2*f + 3*f - 2*v = 1055. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1675945 is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 27, 5, -76, -3, -198 in descending order.\nAnswer: 27, 5, -1, -3, -76, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, b: 5, r: 2, u: 1, z: 3, v: 1}. What is prob of sequence bub?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2 - 2)*(-6 + 4 + 3)*((-5424 + 1878 - 4567)*(-1 + 1 - 1)*(-1 + 4 - 1) + 5 + 1 - 4 - 4 + 4 + 1 + (1 - 3 + 3)*(3 - 7 + 3) + 0 + 3 - 4 - 3 + 1 + 0).\nAnswer: 32450*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t**2 + 3*t. Let i(k) = 6*k - 3. Let u(p) = -48*p + 42. Let o(v) = 14*i(v) + u(v). What is s(o(y))?\nAnswer: -11664*y**2 + 108*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -503\/7 - -72. Let v(s) = -s**2 - 31*s - 81. Let t be v(-3). Which is the nearest to -10\/9? (a) t (b) 0.5 (c) p (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**4\/12 - t**3\/6 - 4*t**2 - t. What is q(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 22*m**2 + 22*m - 25. Suppose 2*w + 66 = 4*q - 14, -6*q + 136 = 5*w. Give j(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5*r - 3)*(2*r**2 + 0*r**2 - 3*r**2) + r**3 - 2*r**3 + 3*r**3 + (2*r**2 - r + r)*(3 - 3 + r) + r**2 + 2*r**3 - r**2 - 3 + 3 + 2*r**3.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 318613309 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -r + 26, t - 397 + 389 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 894373.9 decades in millennia?\nAnswer: 8943.739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28180\/17 - 1660. What is the common denominator of 41\/7 and v?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**8\/168 + c**7\/35 + c**6\/20 + c**5\/30 - 44*c**2. Factor n(m).\nAnswer: 2*m**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 306587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000172 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -165*q + 6. What is the hundreds digit of y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 15, k: 4}. What is prob of sequence kppp?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.28841 * -4\nAnswer: -9.15364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19035.15 millennia in months?\nAnswer: 228421800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 47*f**2 - 5*f - 330. Let i(g) = 16*g**2 + 2. What is d(i(s))?\nAnswer: 12032*s**4 + 2928*s**2 - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574, 557, 540?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - u + 5*u - 10 + 31.\nAnswer: 2*u + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12*(7\/3 + -3). Let s = r - 8. Suppose s*q + 3*j + 12 = -q, -4*q + 2 = 2*j. Solve -3*k - b = -6, -4 = -5*k + q*k - b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.12 or -1045\/7?\nAnswer: -1045\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 222483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**6\/120 + 7*p**5\/60 - p**4\/8 + 7*p**3\/6 - 605*p**2. Calculate i(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i - i)*(-3 + 3*i + 5 + 0).\nAnswer: -6*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.025 and -2.428.\nAnswer: 0.0607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*t + 53 + 161*t - 9 + 181*t + 63*t in the form w*t + f and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 + 26*x**2 - 4*x + 71. Determine j(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*x, 84*n + 2*x = 83*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 8*f + 52 = 0. Suppose f*p - 927 = -131. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34746 by -2.\nAnswer: -17373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:41 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*v = 2184 + 1410 + 12081 for v.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -167*g + 332. Let q be u(2). Put -5, q, -7, 0, -1 in decreasing order.\nAnswer: 0, -1, q, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0.0055.\nAnswer: -3, -1, 0.0055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 16*v**2 + 19*v - 11. What is x(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 11 - 12) + (-3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26640 divided by 37?\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + o = -86, -3*n + 60 = 2*o - 55. Suppose 13*r = n + 63. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 151725974?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*j - 36, -3*r + 59 - 16 = 5*j. Let t be (272\/17)\/(-1 + (1 - -2)). Suppose t*y + 242 = 19*y. Calculate the highest common divisor of y and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -99992\nAnswer: -9999.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 71. Suppose -c - 8 = -j. What is the common denominator of 14\/9 and 5\/c + 53\/(-36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/667 - 677\/3335. Sort -1, a, -0.19, -0.3 in increasing order.\nAnswer: -1, -0.3, a, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 221, 305, 369, 413, 437, 441?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, h: 4, e: 3, r: 3}. Give prob of sequence hhhh.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/7*(-42)\/(-12))\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.01 + 3.01. Let v = 3 - l. Which is the second biggest value? (a) v (b) -3 (c) -3\/8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 522 = 1263. Let u be 4971\/63 - (200\/q + -2). What is the highest common divisor of 79 and u?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 69094.\nAnswer: 760034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2246 - -2503?\nAnswer: 5052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 473727 or 473724?\nAnswer: 473724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3622 divided by 1811\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 563998 from -1051912.\nAnswer: -1615910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a5ce (base 15) in base 11?\nAnswer: -246660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6726 and 33630.\nAnswer: 33630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o - 13. Is 23 a factor of s(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:31 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2081908980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*r**4 + 8*r**3 - 16*r**3 + 4*r**3)*(-2 + 2 + 2) to the form q*r**2 + l*r + z*r**4 + m + n*r**3 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 - 56*n + 1. Let g(a) = 2*a**3 - 53*a + 1. What is 5*g(p) - 4*j(p)?\nAnswer: -2*p**3 - 41*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -459 - -461. Suppose -3*r + 1152 = -x, 3*x + 816 - 41 = n*r. What are the prime factors of r?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5. Which is the third smallest value? (a) -5 (b) -3\/2 (c) t (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3174)\/(-138) - 24)*-61*2\/2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 160*y**2 - 12794*y - 476. Give d(80).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 2*b**2. Suppose 10*h + 5*g - 33 = 9*h, 66 = 3*h + 4*g. Let p(f) = -2*f**3 + 2*f**2 + 7*f**3 - 1 + 7*f**2. Determine h*x(m) + 4*p(m).\nAnswer: 2*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 5*m**2 + 11*m - 16. Let u be g(6). Let v = 15 - u. Which is bigger: v or 4\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + a + 30. Let w be y(0). What is the highest common divisor of 40 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*b*o**4 + 20*b*o**2 - 21*b*o + 2*o + 1 wrt o.\nAnswer: -1800*b*o**2 + 40*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -526977 - 20?\nAnswer: -526997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/(28\/12). Let w = -4.3 + 0.3. Let y = 213\/35 + -29\/5. What is the nearest to -2\/5 in w, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 24 = g. Let k(o) = -18*o - 2. Let q be k(g). Suppose 8*u - 2*m - q = 4*u, -4*m = -4*u + 116. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 261387?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, r: 2, m: 2}. Give prob of picking 2 m and 1 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/7566 and 63\/5044.\nAnswer: 15132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.2 - -12. Is p bigger than 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1569160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -15 + 12 + t**2 - 6 - 5*t. Let k be h(7). Let x(j) = 2*j**3 - 5*j**2 - j. Let v(o) = -2*o**3 + 6*o**2 + o. What is k*v(z) + 6*x(z)?\nAnswer: 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*h - 55 - 97, -62 = -2*m - 5*h. What is the remainder when 140 is divided by m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55743 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 1 - 2, 0 = 2*f + 4*s - 22. Suppose 5*r + 4*l - 1629 = 0, 0 = -r - l + 3*l + 337. Suppose 10*g + r = 299. Put 3, f, -14, g in ascending order.\nAnswer: -14, g, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.132 - 0.668. Which is the biggest value? (a) 0.1 (b) j (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(216)*-1)\/(sqrt(18)\/(-1*sqrt(2))))\/(-3*((-3*sqrt(1200)*-1 - sqrt(1200)) + sqrt(1200))).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9777967 is divided by 1570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.2856\nAnswer: -1.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - z. Let x be y(0). Suppose -5*w = -x*w - 15. Let c = w + -1. Solve -v - c*v + 18 = -5*d, -5*d - 16 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = -4*x, 66*x + i + 5 = 68*x. Sort -5, -4, x in increasing order.\nAnswer: -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**3 - 39*x**2 + 64*x + 988. Determine z(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 0. Suppose -3*v - 3 = -2*h - u, -4*h = 3*v - 21. Suppose 3*b - v*l - 42 = -2*b, 0 = 3*b - l - 26. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 536*q**2 + 537*q**2 + 35.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 5, -27.70024?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p - 2*p + 4*p. Let v(l) be the third derivative of 0*l - l**2 + 0 + 0*l**4 + 0*l**3 + 1\/30*l**5. Determine h(v(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*p + 202509 = -51*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 947, 948, 949, 950, 951?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 23*c - 22*c + 2*g, 0 = 2*c + 3*g + 17. Let n be (0 - 1)\/((-2)\/(-2)). Let f = n - -5. Put 7, f, c in descending order.\nAnswer: 7, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-3\/8))\/u**2)\/((u\/u**(-2))\/(u*u**(-3))))\/(u**(-6)*u**(-1\/3)*(u**(-1\/3)*u*u*u)**(-1\/18)) assuming u is positive.\nAnswer: u**(23\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 2. Let o(i) = -5*i + 4. Let q(n) = 3*o(n) + 7*z(n). Calculate q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2dd + 2?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5)\/s)\/(s\/s**(-3\/2)))\/(s**(2\/11)*s**(-5)) assuming s is positive.\nAnswer: s**(-59\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 1\/20*k**5 - 4*k**4 - 33\/2*k**3 - 4 + k**2 + 0*k. Find s such that d(s) = 0.\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3 - 6. Suppose -8 = -2*s - 2. Suppose 0 = c + s*v + v - 29, -v + 56 = 4*c. Solve -c = -4*k - g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*q + 4*v - 20, 19 = -5*q - v. Let z(w) = -w + 1. Let p(u) = -3*u + 6. What is q*z(i) + p(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*g**2 - 199*g**2 + 57*g**2)*((0 - 2 + 0)*(2*g - 3 + 3) - 4*g + 0*g + 2*g).\nAnswer: 1422*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*(16\/12 - 2). Suppose 3*t - 3*q + d - 15 = 0, 0 = -4*t + 2*q + 6. Determine m so that -1\/2 + 1\/2*m**2 + t*m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 35. Let r = 22 + u. Let o(v) = -v. What is o(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - (-3 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5 - 4*x + 3*x + 6*x + 7*x**2 + 0*x + x**3. Let g = 5 + -11. Calculate the remainder when p(g) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 1522197?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5727 + -2977. What are the prime factors of b?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563 <= 749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 4461568?\nAnswer: 4461568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 4:08 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 + 487 = 58*m - 571 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.5 in 118, -138, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2382 (b) -0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-2\/7))*c*c)**7\/(c**7\/(c*c*c**(-5)\/c)))**(-40) assuming c is positive.\nAnswer: c**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/811624707 and 3\/7?\nAnswer: 5681372949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -219, -1729, -5829, -13815, -26983?\n\"Answer: -216*y**3 + y**2 - y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * 1618219\nAnswer: -1456397.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**3 + 34252*r**2 - 1169332*r - 1203580 = 0?\nAnswer: -8597, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58, -62, -100, -190, -350, -598?\n\"Answer: -3*m**3 + m**2 + 14*m - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o = -218 + 74. Suppose -3*j = -19 + 1. Let l be ((-8)\/o)\/(4\/j). Solve l*z = 4 + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 10:29 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/126 and (-209)\/36 + (-46 - -55).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0, -113?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2762, 3090, 3418?\nAnswer: 3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 6. Let q(x) = x**3 + 5*x**2 + x - 2. Let t be q(j). Let a = 7 - t. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -29 (c) 4 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6646777 to the nearest integer?\nAnswer: 2578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7*f = 76. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 12:19 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 4*v + 39 = 0. Sort 0.1, v, 1, 5 in increasing order.\nAnswer: v, 0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 8*g + 3. Suppose -3*s + 21 = -c + s, 0 = 4*s - 16. Let y(d) = -7*d**2 - 17*d - 5. Let w(k) = c*l(k) - 2*y(k). Factor w(a).\nAnswer: -(a + 1)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219105 = 1861*c - 72086 for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-1476)*-6)\/(358\/537)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r**2 - 48*r - 6. Does 21 divide k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - -25. Suppose -3*i - 3*o = -27, -5*o + 6*o + x = 3*i. Solve -5*s - i = -37 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -7*r**4\/24 - 7*r**3\/3 - r**2\/2 + r. Let q(l) be the first derivative of a(l). What is the first derivative of q(h) wrt h?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*z = -6*u + 4835, 0 = -2*u + z + 1940. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*l + 32*l. Solve -a - l*a - 14 = k, -20 = 4*a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a. Let v(p) = -35*p. Determine -75*m(o) + 6*v(o).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/8865 - 252149\/97515. Let m = -4387\/55 + 387\/5. Let h = k - m. Which is smaller: -15 or h?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -7, 1, 7, 11, 13, 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 - -377\/6. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 87152?\nAnswer: 87152.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50860*-0.3.\nAnswer: -15258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-6)\/4*(-2)\/(-6)). Which is the closest to -0.1? (a) j (b) 3\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95.6 + -96. Let o be (-1 - (-2)\/6)\/(-3). Let k = -8.7 + 9. What is the closest to 1 in n, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7 (b) -18 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {o: 1, k: 2, s: 2, w: 1, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*n = -1586*n - 131700 for n.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*u = -370*u - o - 34, 5*u - 178 = -3*o for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762975 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1167 divided by -38627.\nAnswer: 1167\/38627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-45)*(-1)\/((-2)\/(-1)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 1:03 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l. Let g(k) = 2*k. Let u(y) = -2*g(y) + 6*t(y). Let q = -1 + 2. Let z be u(q). Solve z = d - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243 + 479 + 2*x - 236 - 8*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 148822.4367us?\nAnswer: 0.00000024606884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2290*p**3 + 116503*p - 116503*p - 1898*p**2 wrt p?\nAnswer: -13740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7535874 divided by -2511958.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.79 - 64.79. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 8\/2)*(-3)\/(-6)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f + 6. Let h be w(-2). Suppose 5*b + 5*u + 115 = 0, h*b + 4*u + 26 = -14. Let x = 25 - b. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.06114, -9, 3\/4, -3\/8 in descending order.\nAnswer: 3\/4, -0.06114, -1\/4, -3\/8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.085526 times -42\nAnswer: -3.592092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49 and 51\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*x - x**2 + 76537 + x**3 - 76537 to the form k + n*x**2 + p*x**3 + j*x and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 3683.\nAnswer: -368.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102478, -101423, -100368, -99313, -98258?\n\"Answer: 1055*t - 103533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**4\/4 + 5*f**3\/6 + 11*f**2\/2 - 22*f. Let j(d) = d. Let v(o) = 3*j(o) - q(o). What is the tens digit of v(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -411943973.\nAnswer: -411943973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -143. Suppose 27*b = c*b + 47360000. What is b rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwvw when four letters picked without replacement from {v: 5, t: 2, w: 5}?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -127, -1\/3, 3\/8?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*w**2 - 145*w**4 + 11*w**4 + 47*w**2 + 433*w + 49*w**2 wrt w.\nAnswer: -1608*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1014 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 144253519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k. Let y(i) = -6057919*i. Calculate y(t(j)).\nAnswer: -12115838*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7092 + -5664. What is the greatest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246786361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c8 - -20c21?\nAnswer: 21019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -23*f + 420. Let n be j(18). Sort -14, n, -2, -4 in ascending order.\nAnswer: -14, -4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d - 4*j = -58, 0 = 5*d + 5*j - 55. Let h = -8 + d. Calculate the remainder when 13 is divided by (8\/3)\/(h\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**5 + 80*p**4 + 390*p**3 + 560*p**2 + 245*p = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 2648*k**2 - 1570351*k + 998. Determine m(-499).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-2)\/(-3)*(3904 - 24\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77620 - -77621. Factor -3\/2*j**3 - 1\/2*j**2 - 1\/2*j**4 + 3\/2*j + a.\nAnswer: -(j - 1)*(j + 1)**2*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 5 - 4)\/1. Suppose 0 = -h - 3*o - 2, 0 = -2*o - 3*o. Let n be (15 + -13)\/((-1)\/h). Solve k = -v - 0*d - d + 9, -41 = -5*v - n*d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/12188 + 292707\/792220. Let l = -3\/13 - q. Put 4, l, 10 in ascending order.\nAnswer: l, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/(-63)*35\/170. Let x = -4.5 - -6. Let l = x - 1. What is the second smallest value in p, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (189 - 95 - 91 - 206*i)*(3*i**2 + 3*i**2 - 4*i**2).\nAnswer: -412*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -16*b**2 - 10*b + 46. Let d(w) = -3*w**2 - 2*w + 9. Determine -11*d(z) + 2*o(z).\nAnswer: z**2 + 2*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**6\/80 + q**5\/5 - q**4\/16 - 2*q**3 + 81*q**2. Factor x(i).\nAnswer: 3*(i - 1)*(i + 1)*(i + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**3 - 24*c**3 - 13428 + 12*c**3 + 13428 + 9*c**2.\nAnswer: -2*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15604 or -15606?\nAnswer: -15604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*y = -42. Suppose -54 + 45 = -3*p. Suppose 3*z = u, p*u - 68 = -5*z - 12. What is the remainder when y is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 126.7902 and -2.\nAnswer: -253.5804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/36 + 187\/22 + -9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*r - 172 = -174, -3*r + 4 = 4*k - 2*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 2 - 19*63. Let i = 2500 - 824. Let m = i + g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, j: 3, p: 1, z: 3}. What is prob of sequence jjj?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317008746 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-seven quarters of a minute?\nAnswer: 1005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -6. Let v(z) = 50*z + 21. Let j(f) = -2*f + 1. Let m(u) = 6*j(u) + v(u). Is m(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008787 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/54*(-18)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 4. Let m(i) = -2. Determine 6*l(o) + 14*m(o).\nAnswer: -6*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -581\/584516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence you when three letters picked without replacement from kukyykkyoy.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608709885?\nAnswer: 3, 5, 7, 491, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eocjtctjctjojcttece. Give prob of picking 1 o, 1 c, and 1 e.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620 + -1615 - ((0 - (0 - 1)) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 a when four letters picked without replacement from rrhharh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1653 is divided by 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4 - 95580*j**3 + j**2 - 176*j - 266?\nAnswer: -24*j - 573480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*t = -20, -2*c + 5*t = 6 - 31. Suppose 3*m - 9 - 6 = c. Let y = m + -3. Solve 8 = -2*a - y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*z**4 - 2*z**2 + 0 + 6\/5*z + 2\/5*z**3.\nAnswer: 2*z*(z - 1)**2*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.451 * -0.074.\nAnswer: -0.033374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8 = -7. Suppose -b - 9 = n*d - 52, -4*d + b + 55 = 0. Suppose 54 = 4*z + 3*k, 3*z - z - 5*k = d. What is the lowest common multiple of z and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143342 - 1?\nAnswer: -143343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/158762 and 77\/10.\nAnswer: 793810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 17996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 18 = f, -4*l + 2*l = 2*f - 36. Suppose 12 = -4*i, 2*c - f = -3*i + 175. Let d = -15 + c. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifigg. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*j - 8. Let r(h) = h**3 - 8*h**2 - 9*h + 5. Is r(j) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 110, 2\/9, 58, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 682*c + 4320 - 814 + 1268 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 28 - 11*k - 4 - 10. Suppose -4*y + 14 = -4*r - 6, 5*r + 16 = 2*y. Let h(s) = -4*s + 5. Give y*u(q) - 8*h(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 3:51 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 - (-1 + -3 + 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 10*q**2 + 4*q - 4. Give n(10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 1332891?\nAnswer: 2665782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p**2 - 3*p. Let h(m) = m**2. Let o(z) = -4*h(z) + w(z). Let n = -5795 - -5797. Determine o(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2274 divided by -1\nAnswer: -2274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 10:39 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191 - 195. Suppose c - 1 = -2. Sort 0.4, c, v, -0.4.\nAnswer: v, c, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**5\/13 + 31704*i**4\/13 - 126838*i**3\/13 + 158556*i**2\/13 - 63424*i\/13 = 0?\nAnswer: -15856, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 1 - 37. What is the second derivative of -4*o + 3*o**3 - z*o**3 + 20*o wrt o?\nAnswer: -90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -690 - -680. What is the nearest to -1 in -0.4, -4, -0.1, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 38 + 38)*(2*i - 4*i + i + (-1 + 0 + 3)*(17*i + 95*i - 36*i)).\nAnswer: 1057*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772573 is divided by 83.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**12\/y)\/y)\/y*y)**(9\/4)*(y*y**(-12)*y)**(-1\/19) assuming y is positive.\nAnswer: y**(875\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*q - 75*q - 100*q - 6*q = 35511 for q.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5137901875 to the nearest integer?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 5*d + 120. Put 3, d, -4 in descending order.\nAnswer: 3, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 - 2*t**2 - 2*t**2 - 2*t**2 + 3*t**2 + (5 - 5 - 4*t**2)*(-7 + 65 + 61) to the form y*t**2 + k + h*t and give y.\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/3))**(2\/71) assuming a is positive.\nAnswer: a**(8\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 849 and 12102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 27, 57, 99?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28 - -3909)*-1*1. Let b = -1404 - h. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j - 24. Let z be r(10). Suppose 7*b - 10*b = -z. What is the units digit of 960\/36*3\/b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 181800\/117 + -6*1\/(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1\/12, -1279969 in increasing order.\nAnswer: -1279969, -10, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/5 in -1\/2, 0, -0.008, 23, 10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppr when three letters picked without replacement from {f: 1, r: 1, p: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**4*w + 195*d**4 - 24*d**3*w + 339*d**2*w - 2*d**2 - 8*d*w - 2*w wrt d?\nAnswer: -144*d*w + 4680*d - 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, 2\/9, -2\/3, 25678, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1309 - -1365. Solve -10*j + p = -24*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = v. Let s(j) = -j**3 + 11*j**2 + 15*j + 8. Let d(k) = -2*k**3 + 16*k**2 + 22*k + 12. Let a(n) = v*s(n) + 5*d(n). Factor a(t).\nAnswer: -2*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696 = 5*k + h + 9421, 0 = 4*k - 4*h + 6956. Let c = k + 6387. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-2 - -1) + 18 + -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1770, 1774, 1782, 1794, 1810, 1830, 1854?\n\"Answer: 2*i**2 - 2*i + 1770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -18\/5192131?\nAnswer: -18\/5192131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 456557892*r**2 + 26055638593435458*r.\nAnswer: 2*r*(r - 114139473)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 211, 1650, 4049, 7408?\n\"Answer: 480*q**2 - q - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**5\/120 - 4*r**3\/3 - 4. Let f(c) be the third derivative of k(c). Let g(p) = -3*p - 1. Give -2*f(t) - g(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/9*(-6)\/(-20) and (-3 - 72\/(-20))*(-41)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 2:35 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -739 + 735. Suppose -2*n - r + 6 = -4, -5*n + 2*r + 7 = 0. Let p be n*1\/3 - -1. Which is the second biggest value? (a) z (b) p (c) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**4\/12 + 35*j**3\/6 + 177*j**2\/2 - 3*j + 10. Let f be k(35). Which is bigger: f or 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2155, 3, -2, 11, -3, 0, 1 in increasing order.\nAnswer: -3, -2, 0, 1, 3, 11, 2155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 5*n + 34 = -10*n - 5*n + 7*n, l - 5*n = -4 - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -151*v**2. Let g(x) = 8*x - 1. Determine g(o(h)).\nAnswer: -1208*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5*l + 15 = 0, 4*l - 668 = j - 656 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2 (b) 0.05 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z = -168 + 15916. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = 0. Suppose -b + 19 = 4*o, b - 3*o + 5*o - 11 = i. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 1. Let u = w - 2. Suppose 2*d - 2*n = -3*n + 22, -2*d = -2*n - 16. Solve u = 3*s + d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3780\/(-732312))\/((-3)\/4). Is -1 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2618)\/(-85))\/((-56)\/(-40))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, c: 8, o: 1, u: 7}. Give prob of sequence ul.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = b + 122 - 14, 0 = -b + 2. Let q = o + 47. Suppose j = -8 + q. Solve 6*i = i + h - j, 4*h - 17 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -54, -119, -210?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/11, 0, -7.1, 1\/17 in decreasing order.\nAnswer: 4, 1\/17, 0, -1\/11, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3 + 90916*p**2 + 363688*p + 363696 = 0.\nAnswer: -2, 45462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 266.85804us?\nAnswer: 0.000004447634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5200 - -5202. Let k(u) be the second derivative of -12*u - 1\/6*u**3 + 0 - u**d. Determine k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*b + 2*b - 15, 0 = -d + b. Solve 4*c + 10 = -d*x, -5*c - 3 = 4*x - 5*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.34, 7, -19.36?\nAnswer: 1.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l. Suppose 0 = -a + 18 - 2. Let w = 46 - a. Let u(g) = w - 15 - 15 + 7*g. Give y(u(v)).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + i**2 + (-5*i**2 - 27*i + 27*i)*(-1 - 2 + 2)*(-6 + 43 + 13) + (-4 + 9 + 5)*(3*i**2 - 4*i**2 + 2*i**2).\nAnswer: 261*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16085 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 - 46 = -2*p + 68 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 17, c: 3}. Give prob of picking 2 i.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 884427449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 443? (a) 3 (b) 0.2 (c) -2 (d) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 6. Let q be h(-5). Suppose -4*u - 2*w = 3*w + 4, -q = -2*u - 4*w. Let o = u + 13. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 142*g + 148*g + 8.\nAnswer: 6*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13845 and 327795?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 7809*v - 7807*v + 3, -2*d - 22 = 5*v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-15) + (-202)\/(-5). Let r = 114 + -14. What is the greatest common factor of r and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 5.6. Let a = z - -0.61. Round a to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 20. Let n be y(-10). Let w(r) = -9 + 5*r**2 - 2*r + 2*r + 2*r + n. What is the units digit of w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39775018+-0.18\nAnswer: -39775018.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(475) + sqrt(475) + 0)**2*-5.\nAnswer: 57000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 2 - -8) + 16\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1967, -0.7, 41 in decreasing order.\nAnswer: 41, -0.7, -1967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 6*j + 10. Let d be o(-7). Solve -3 = q - 2*g + 8, 0 = -d*g + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/9 - 4\/(-6). Let t(q) = -q + 8. Let d be t(s). Solve m - 4 = d*m - 4*o, -4*o - 16 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -20)\/(2\/24*210\/63)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 23036905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -413 - -423. Is 1*f\/45 + 7190\/45 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5656\/15 greater than or equal to 376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 5 + 39 = -2*n, -3*c - 36 = 3*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9908052 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -0.2 (c) -0.46 (d) -4\/7 (e) 4 (f) -0.5 (g) 1111\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 11:19 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 533.9.\nAnswer: -266.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyd when three letters picked without replacement from jdjoydddodjjjdyyyd.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85464.37 litres to millilitres.\nAnswer: 85464370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b + d?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129806 is divided by 18514?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 30?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*v + 472. Let t = 169 + v. Calculate the highest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 169 - 86 = -18*i - 4 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -211*n + 5621. What is the remainder when 436 is divided by k(26)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -4, 1, 2, 3, -224 in increasing order.\nAnswer: -224, -4, 1, 2, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 - 3 + i**4 - 5*i**4 with respect to i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.5 (b) 1 (c) 0.35 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 1, l: 1, s: 3, a: 5}. Give prob of picking 1 s, 1 c, and 1 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 415\/1692 + 2\/423. Let q(c) be the third derivative of 0 + 3*c**2 + 0*c - 1\/2*c**3 - i*c**4 - 1\/20*c**5. Factor q(s).\nAnswer: -3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:51 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682 - 38510.10246.\nAnswer: -39192.10246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(4\/11)*i))\/(i*i*i\/(i\/(i*i**(-19))*i)*i*i)*i**(1\/3)*i**(-10\/9) assuming i is positive.\nAnswer: i**(1372\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 9*s**2 + 24. Let d be f(-9). Solve 2*j - 10*j = d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2366269 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -138 and 4.\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1. Let f = 897 - 898. Let x(v) be the third derivative of v**4\/24 + 5*v**3\/6 + 3*v**2. What is f*x(i) - 3*h(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 68551\nAnswer: -205653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 5. Let l be d(-6). Let o(c) = -10*c + 305. Let j be o(28). Is 12 a factor of ((-40)\/j)\/(l\/(-35))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 2*g**5 - g + (4*g**2 + g**2 + 0*g**2)*(3*g - 2*g**3 - 3*g).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + u + 3*u**2 + (0 - u + 0)*(0 + 2*u + 0) + 5*u**2 + 6*u**2 - 8*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 15 = -5. Let k(b) = b - 10. Let j be k(r). What is the nearest to -0.1 in -0.5, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145693700 or -145693694?\nAnswer: -145693700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 139 - 37 = 0. Calculate the highest common factor of 340 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in 10928, 1\/4, 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25443.\nAnswer: 3, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35198 divided by 315.\nAnswer: -35198\/315","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2965 and 12904273?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p + 4 - 4 + (p + 2 - 2)*(2 - 3 + 3) + 7 + 11*p - 7 in the form y*p + s and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**3 - 41*j**2 + 4*j - 41. Let g(f) = f + 0*f**3 - 8*f**2 - 6 + 0*f + f**3 - 2. Let x(c) = 2*d(c) - 11*g(c). Is 16 a factor of x(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-12) + 14\/8. Let t be (0\/b)\/(2\/(-1)). Suppose -1 - 19 = -4*s. Put s, 1, t in decreasing order.\nAnswer: s, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*j - j**3 - 26*j**2 + 27*j as k*j + m*j**2 + b*j**3 + f and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*x**2 - 21*x + 21*x + (-5*x + 2*x + 2*x)*(-6*x + 4*x + 4*x) - 2*x + 2*x + x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 2:36 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 180*2\/(-16)*-4. Suppose -u - 4*u = -r. Factor -48*p**2 + 30*p**3 + 3*p - p - u*p**4 + 34*p**2.\nAnswer: -2*p*(p - 1)*(3*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*h**3 + 0*h**4 + 2 + 5*h**4 - h**2 + 3 as n*h**3 + i + c*h**4 + w*h**2 + r*h and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2. Let p(x) = 71334132*x. What is p(u(z))?\nAnswer: -142668264*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 + 30 - 57 - 5*y)*(0 - 4 + 2) in the form t*y + i and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21221112 (base 3) in base 8?\nAnswer: 13240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 10. Let c(h) = 2*h + 7. Suppose -33 = 2*q - 5*q. Calculate the remainder when c(s) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v - 218*v**2 - v**3 - 15*v + 217*v**2 to n*v + g*v**3 + o*v**2 + x and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 - 1. Let z be y(-1). Suppose z*l + 615 = 10*l. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1899608 and -6\/25407257.\nAnswer: 203258056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**3\/19 - 2889832*m**2\/19 + 40458070*m\/19 + 43347900\/19 = 0.\nAnswer: -1444930, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h + 50. Let y(m) = 2*m + 17. Let u(i) = 4*c(i) - 11*y(i). Let r(f) = -f - 2. What is 39*r(g) + 6*u(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n. Let q be f(-1). Suppose 5*j = -i - 14, -i + 0*i + 13 = -4*j. Let v be (10*i)\/(2\/8). Calculate the greatest common divisor of q and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1832610 and 5715.\nAnswer: 5497830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 + -664\/5. Which is the nearest to 0? (a) -1 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -4 (c) -9\/4 (d) 98 (e) 13 (f) 10 (g) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -12.92\nAnswer: -11.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 32. Let b(j) = -2*j + 107. Let w(x) = -x + 71. Let z(h) = d*b(h) - 8*w(h). Let y be z(-18). Solve y*t = 7*t + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 10) in base 5?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p + 0*p - p)*(-8*p - 12*p + 94*p)*(4 - 4 + 7) as h + d*p**2 + i*p and give d.\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4828143 divided by -3?\nAnswer: 1609381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310536085 times -0.5?\nAnswer: 655268042.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.9 - -0.1. Let a = -32.1 + t. What is the biggest value in 2, a, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from qlqwqqwqlwwlq.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 186914166 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132)*4)*6)\/(sqrt(1200)*2).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from {b: 4, x: 1, g: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3127206 nanometers to millimeters.\nAnswer: 0.0000003127206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -18. Let m(q) = 30*q - 3. Calculate the remainder when m(2) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + u)*(4 + 6 - 1)*(-2 - 1 + 5).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - -0.4. Let i = -2.7 - z. Let b = i + 1.90000064. What is b rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1521 - 4?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2159575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.7 + 70808?\nAnswer: 70773.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27231\/95921 + 25\/13703. Let b = -29 + 18. What is the biggest value in -0.4, b, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from raccrmamumxmcmxmmmc?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -3*a**6\/14 + 24*a**5\/35 - 3*a**4\/4 + 2*a**3\/7 + 1343. Suppose w(l) = 0. What is l?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 52 = -y + 36, 0 = y + 4*s - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 908984845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 315\/90*720388*1\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22641642 is divided by 5660409?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/z**(7\/4))**(-35\/2)\/((z*(((((z\/(z**4*z))\/z)\/z)\/z)\/z)\/z*z*z**(1\/3))\/((z**(-3\/8)\/z)\/(z\/z**8))) assuming z is positive.\nAnswer: z**(1985\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/8*o - 3\/4 - 1\/8*o**2 = 0. What is o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -138, -211, -286, -363?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 2872.\nAnswer: 60312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000424 to 5 dps.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -100525029 and 67491.\nAnswer: -100457538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - -486. Suppose 586*v = 587*v - g. What are the prime factors of v?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 17*o + 1. Calculate s(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 25 = u - 0*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 + 2\/2 + 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c. Let w(g) = 8*g**2 + 17*g - 16*g**2 + 28*g**2 + 17. Let l(m) = -7*m**2 - 6*m - 6. Let z(h) = -17*l(h) - 6*w(h). What is z(u(x))?\nAnswer: -121*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*p**4 + p**3 - 68401*p**2 - 44713746*p wrt p.\nAnswer: 1008*p**2 + 6*p - 136802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-21) + -4)*-7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -346*k*n**3*q - 4*k*n**2*q - 64*k*n*q*r - 6*k - n**3*q - 44*n**3*r - n wrt r?\nAnswer: -64*k*n*q - 44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l - 6. Let q(x) = -5*x + 5. Let v(c) = -2*g(c) - 3*q(c). Let z be v(5). Suppose -z = -3*j + 4*w, w + 0*w - 5 = 0. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*v + v. Let k = 0 + v. Suppose -k*r = 2*r - 750. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.0997 + 0.4.\nAnswer: 2.4997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2. Let v(s) = 8*s - 10. Let d(p) = -p + 1. Let y(h) = 6*d(h) + v(h). Let f be y(3). Let k(g) = 2990*g + f - 2 - 2986*g. What is c(k(m))?\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 - 447*s**2\/4 - 4729*s\/2 - 4617\/4.\nAnswer: (s - 243)*(s + 19)*(2*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (3 + -6) - 1 - (-30 - -25).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 193*o**8\/56 + o**7\/210 + 3*o**5\/20 + 179*o**4\/24 + o**2 - 2*o - 881. What is the third derivative of y(n) wrt n?\nAnswer: 69480*n**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 705 - 667. Calculate the lowest common multiple of l and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.176 - -0.246. What is the second smallest value in z, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3))**(7\/4)*q**(-6)*q**(1\/2))**(1\/34) assuming q is positive.\nAnswer: q**(-59\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 525.\nAnswer: 524.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 861651 and 78085?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 517329 a multiple of 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171 + -168. Suppose p*j = j + 5*n + 620, 4*j + 5*n = 1270. What is the highest common factor of 70 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 258\/9 - 1 - 1. Let i = r - 27. Suppose -5*l + 4*q - 17 = 0, l = -4*l - 3*q + 4. Is l less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 465209 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -351 or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, v: 1, y: 3, c: 3}. What is prob of picking 2 y and 2 c?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 3*o**3 - 962*o**2 - 3*o**3 + 1926*o**2 - 952*o**2.\nAnswer: -2*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 - 5*u**3 + 54*u**2 + 341*u - 4235\/2.\nAnswer: -(u - 7)*(u - 5)*(u + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2 - s - 3. Let j be v(-3). Suppose -3*z - 117 = j. Let n = z + 30. Round n to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1594 - -2770. Let q = -675 + p. What are the prime factors of q?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 164*c + 154*c = -43, 3*y - 3*c + 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*3\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19702 - 13908. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3939015202 to the nearest integer?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -369 + 737\/2. Which is the second biggest value? (a) 4\/7 (b) 16\/3 (c) z (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*6*(-55)\/(-10)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7827?\nAnswer: 3, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -6.9, -5, 17, -158?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.14 (b) 6\/7 (c) 0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 13) in base 11?\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -3*k + 3*o, -5*k - 6*o - 104 = -9*o for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -12*z + 1\/5*z**5 + 0*z**3 + 0*z**4 + 0 + 9\/2*z**2. Find the first derivative of p(j) wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.56 - 0.44. Put 0, 1, -18, l in decreasing order.\nAnswer: 1, 0, l, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 41052 and 0.038454.\nAnswer: 41052.038454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12*o**3 - 9*o**2 + 5*o. Let a(p) = 18*p**3 - 14*p**2 + 8*p. What is -5*a(x) + 8*b(x)?\nAnswer: 6*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -141*w + 4462. Let l be r(62). Is -4284 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1795, 3592, 5391, 7192?\nAnswer: 8995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 4*a**2 - 6*a + 2. Let q be n(5). Suppose 2*h + 33 = -9*h. List the prime factors of 2\/q - 62\/h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/326010 and 11\/9?\nAnswer: 978030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:35 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d + 89. List the prime factors of q(-12).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117) + sqrt(117)*-3*-4)\/((sqrt(144) - (sqrt(144) + sqrt(144) + sqrt(144) + -3*sqrt(144))) + sqrt(144) + sqrt(144) + sqrt(144)) + -3.\nAnswer: -3 + 7*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -63, -110, -177, -270, -395, -558?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446745038.\nAnswer: 2, 1753, 127423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*j - 580*j - 63*j.\nAnswer: -526*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 605, 3\/5, -3, 17 in descending order.\nAnswer: 605, 17, 3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*y - 843 = -594*y + 27 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 952, 2144, 3802, 5920, 8492, 11512?\nAnswer: 14974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 80*j - 316. Let a(y) = -161*y + 684. Let n(x) = -6*a(x) - 13*s(x). What is n(1)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2 - 2028*s - 514098 = 0.\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 4. Let d = 2328.734 + -33.034. Let t = 2296 - d. What is the closest to t in -4, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7103566003 to the nearest integer?\nAnswer: 1922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -11, -19, -43, -89, -163, -271, -419?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6e8 - 1?\nAnswer: -6e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*i + p - 25, 0 = -4*i + 4*p + 20. Suppose -2*y + i = 2*y. Suppose -4*d = -3*b + 13 + 9, -4 = -b - y*d. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239.69 - -95522.\nAnswer: 95282.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 817275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7523476.7 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*f**3*t**3 - 2*f**3*t + 156*f**3 - 13*f**2*t**3 - 25*f**2*t**2 - f**2 wrt f.\nAnswer: -84*t**3 - 12*t + 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3534, 14124, 31784, 56520, 88338, 127244, 173244, 226344?\n\"Answer: o**3 + 3529*o**2 - 4*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(33\/(-20)*-34*(-36)\/1836).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-6)*(-3)\/(-18).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -222*u**5 - 12*u**4 - 3*u - 35. Let g(y) = 442*y**5 + 22*y**4 + 5*y + 71. Let j(c) = -6*g(c) - 11*k(c). What is the second derivative of j(l) wrt l?\nAnswer: -4200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*w = -216. Suppose -24*h + w*h = 393. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6895\/897 + 6\/299. Which is greater: -7 or b?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*q - 5779 = 1175 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3689.4 + 3686.4. Let z = -4.9 + 0.9. Which is the nearest to z? (a) 0.4 (b) s (c) 21 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*t**3 + h**2*t + 157*h*t**2 + 32*h*t + 2*t**3 + 2*t wrt t.\nAnswer: -18*h**2*t + 314*h + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + r. Give h(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9616 and 666509?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 5:11 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -25.1. Sort 3, b, 0.3.\nAnswer: 0.3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75355 by -2153.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8*(5 - 17). Which is the third biggest value? (a) 0 (b) o (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281477479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 24*g + 1. Determine w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/2 + 797*a**4 - 18421*a**3\/2 - 443980*a**2 - 2144318*a + 6125504 = 0. Calculate a.\nAnswer: -11, 2, 32, 1582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*c**2*w**2 + 4*c**2*w - 86*c**2 - 114*c*w**2 - 5*c*w + 24605*w**2 + 427*w - 3 wrt w.\nAnswer: 32*c**2 - 228*c + 49210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -200220010102 (base 3) in base 5?\nAnswer: -43400012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20338238 - -1.4\nAnswer: -20338236.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22647, 45268, 67883, 90498, 113119, 135752?\nAnswer: 158403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2113 + 1?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-25) + (12086980\/250 - -41).\nAnswer: 11, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 399 + -129. Let l = s - 257. Calculate the greatest common factor of l and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhwcb. What is prob of picking 1 h and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 34 = -5*c + 3*y, 4*c = -4*y + 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17760 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146546943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76.5 + -6.5. Let w = 171 - 249.1. Let h = t - w. Round h to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 1 + sqrt(147) + -1)**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 975 + 3255 = 0. Let q = o + 3403\/6. Let i = -694 + 6929\/10. Find the common denominator of q and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -1133469319.\nAnswer: 1133469323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -2*u**5\/5 + 3*u**4\/2 + 32*u**3\/3 + 12*u**2 + 1582. Determine n, given that v(n) = 0.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809702081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 42, -26.4, 1\/52, -1, -2\/9, 0.1?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 17*z + 33. Calculate h(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/12 + 11*f**3\/6 + 3*f**2 - 4*f. Suppose -4*i - 3*z = -0*z + 44, 4*z + 56 = -5*i. What is p(i)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5376*j + 45568 + 660*j - 22782 - 22784 in the form b*j + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -12*w**3 - w**2 + 4*w + 1. Let z(x) = x**2 - x. Let c(b) = y(b) + 3*z(b). Is c(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.2471744 and -1\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 r when three letters picked without replacement from {j: 1, g: 2, e: 2, z: 3, r: 3, t: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -2087?\nAnswer: -2087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -18*u**2 + u. Let f be s(1). Which is smaller: f or 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 696 and 1576266?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -202122102222 (base 3) in base 5?\nAnswer: -101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 19*l**2 + 3*l - 2. Let y be n(1). Let h be y + 2\/((-6)\/3)*2. Calculate the highest common factor of 180 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/340154 and -79\/1367034.\nAnswer: 72452802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10622*w**2 + 10621*w**2 + w - 3*w + 2*w. Let f(v) = 128*v**2 + 2*v. Give f(t(a)).\nAnswer: 128*a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/1715*-14)\/((-60)\/(-9)*(-6)\/4)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-20) + (-23)\/(-5). Suppose -10*t + x = -11*t. Put t, 4, 3, -4 in descending order.\nAnswer: 4, 3, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10020 (base 3) to base 2.\nAnswer: -1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00067938 rounded to 5 dps?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23501, -23504, -23507?\nAnswer: -23510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19615 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 847243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 6428*v - 130160.\nAnswer: 4*(v - 1627)*(v + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2717, -3027, -3337, -3647?\n\"Answer: -310*y - 2407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1498922\/655 - -11442\/5. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2e09 (base 15) to base 5\nAnswer: 304114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0.7. Let g = -48 + 45.96. Let o = g - -0.04. Which is the nearest to -1? (a) o (b) d (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 7608*d.\nAnswer: 4*d*(d - 1902)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + 2 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 2*q - 2, -2*v - 25138*q + 25143*q = -0*v - 31 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o\/o**(2\/3))**(-14\/5)\/((o**(2\/9))**(7\/2))**(-45) assuming o is positive.\nAnswer: o**(679\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 249366845 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 35.5. Is n greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -56. Let a = -11 + v. Solve j + 5 = -x + a*x, -3*j = x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**5\/30 - h**2. Let i(o) = 286 - 5*o - 141 - 145. Give q(i(s)).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/63, -7, 0.1, 3\/211 in descending order.\nAnswer: 0.1, 1\/63, 3\/211, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 1\/6*l**3 - 42*l + 0 + 0*l**2 + 1\/36*l**4. Factor o(k).\nAnswer: k*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 36*g - 8 = 0. What is the second smallest value in g, -0.4, -3, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223133 is divided by 111565.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/8248 - -33729\/6078776. Let c = 23572\/2211 + r. Find the common denominator of c and 48\/43.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (6 - (12 + -9 + 0 + 4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*o + 304*o - 101*o + 96*o.\nAnswer: 731*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27717.44743054 + -27673.44743. Let i = 44 - x. Round i to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kokbkbpbbkkbbbbo. What is prob of picking 1 b and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h - h + 2*h + 2*h. Let z(m) be the first derivative of m**3\/3 - 72. What is z(q(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**3 - 33*p**3 + 22*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 9*k + 24. Let y be q(-8). Let t be 0\/1 - (-1 + 0 + y). Let h = 45 - t. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 676.\nAnswer: 1\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(495) + (sqrt(495) - 3*sqrt(495)*3))\/sqrt(9))\/((sqrt(5) + -1*sqrt(245))*3)*-1)**2.\nAnswer: 539\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*w - 50*w - 100*w in the form k + g*w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1144 + -1143.6965. Let w = b + -0.31. What is w rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-10))\/(1\/(-30)). Suppose -2*n + c = -n. Calculate the greatest common divisor of 36 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -710 divided by -88.\nAnswer: 355\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) 4 (c) 9 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 9*q + 2. Let y be c(9). Let f(b) = -11*b + 2 - y*b + 14*b. Give f(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 29*k + 100. Suppose -a + 5*z - 7 = 0, -a + 4*z - 27 = 3*z. Calculate u(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -573d?\nAnswer: -5739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - -5. Suppose -h = 2*c - 47. Suppose p = 4*x + c, 0*p = -3*p - 5*x - 40. Sort p, -1, -3 in decreasing order.\nAnswer: -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2318*z**2 + 1058*z**2 - 2380*z**2 to b*z**2 + y + s*z and give b.\nAnswer: 996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*x = 607, 2*w = 3*x - x + 572. Let o be (-5)\/(-15) + w\/(-9). Round o to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9}. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:33 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + j - 4*j = -44, -2*r = 2*j - 16. Let h(i) = i**2 - 8*i - 31. Let y be h(r). Let o be (3\/(-12))\/((-6)\/8). Sort y, o, -1\/6 in descending order.\nAnswer: o, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 7*l**2 - 9*l - 5. Let r be g(-8). Suppose 0 = -4*x - 16, 0 = j + r*x + 6 - 1. Calculate the highest common factor of 28 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.52642182 to two dps.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 4*i + 2. Let x be r(4). What is the second derivative of 6 - 2 - 4 + 2*o - o**x wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17008305 to the power of 1\/2, to the nearest integer?\nAnswer: 4124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 30*d - 15. Let o(r) = -15*r + 8. Let b(g) = 5*o(g) + 3*x(g). Let h be b(2). Suppose -h + 10 = -3*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/8)\/((-27)\/(-1392)). Let t = o + -38. Let f(j) = j**3 + 2*j**2 - 4*j - 1. Let p be f(-3). Which is bigger: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.946 - -8.946. What is the third biggest value in 2\/5, g, 3\/11, 2\/23?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dda when three letters picked without replacement from {d: 19, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -1505 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**2 + 7*t. Let b(k) be the third derivative of 7*k**4\/24 + 97*k**2 + 27*k. What is b(m(c))?\nAnswer: 42*c**2 + 49*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 635606007, 635606009, 635606011, 635606013?\nAnswer: 635606015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7209644472.00000102 + 7209644414. Let t = y - -58. Round t to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Suppose -y = -2*y. Let z(r) = -5*r + 0*r + y*r + 4*r. Give x(z(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11592 and 1879353?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - 273?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 4*b**2 + 6*b - 6. Let o be c(3). Suppose -o*w = j - 17, 2*j = -w + 6 + 8. Suppose -j*t + 2515 = -t + k, 5*k - 624 = -t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 = -12. Let a be (12\/g)\/((-54)\/(-4)). What is the nearest to 2 in a, 1, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**3 + 182*r**2 - 128*r + 473. Calculate q(60).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 30198.56 centuries?\nAnswer: 36238272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-2) + 25 + 7150\/(-630) + 9\/(-21).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u*w**6 - 532*u*w**2 + 158923*w**6 - w**2 - 40*w wrt w.\nAnswer: 240*u*w**3 + 19070760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46305?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j + 3*j**4 + 4*j**3 + 3*j**2 - 4*j**2 + 9*j to the form o*j**4 + a*j**3 + h*j + i*j**2 + n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5938.\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 15. Let i(d) = -5*d**3 + 4*d**2 - 4*d. Let m(s) = -s**2 + s. What is o*i(k) - 4*m(k)?\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 3*s**2 + 3*s + 17. Let y(w) = -3*w**3 - 8*w**2 - 8*w - 50. Let d = -1124 + 1127. Give d*y(h) + 8*c(h).\nAnswer: -h**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 4*u - l, u - 4*l + 17 - 72 = 0. Let n = -9 + u. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrerrereerrrenrrrn. Give prob of picking 1 r and 1 e.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (2 + sqrt(275) + 0)) + (sqrt(275)*1)**2 + 3.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6771424 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 68*z - 1116. Determine w(41).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 26*x - 117. Let v be o(6). Solve 3*b - v = -60 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 13*b. Let x be r(-5). Let u = x + 43. Let p(i) = i**2 - 3*i - 1. Give p(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.187 less than -1133?\nAnswer: -1132.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -35064621.\nAnswer: -35064619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 1:34 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4861*h + 20884. What is the units digit of q(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 744623, 1489245, 2233867, 2978489, 3723111?\nAnswer: 4467733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != -34761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221024 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imjj when four letters picked without replacement from {k: 1, j: 2, v: 2, i: 2, m: 1, c: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8.23 * -9925\nAnswer: 81682.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1800782?\nAnswer: 2, 19, 47389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/55*(-9064)\/(-70040)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1587 or -1618?\nAnswer: -1618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:57 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*sqrt(125)*-1 - ((3*(sqrt(180) - -1*sqrt(180)) - sqrt(180)) + -1)**2.\nAnswer: -4501 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6825695 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/44*5\/(-36)*184\/(-345)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9503903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.1. Let l = 319 + -314. Which is the nearest to u? (a) 1 (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-18 - (19 + -35) - (0 - 0))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 6) to base 12\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 74\/14)*7. Suppose c + c = 0. Solve w + z*m - 12 = 5*m, -2*w + 2*m + 8 = c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908380513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3133 (base 5) to base 2\nAnswer: -110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58e32d (base 15) to base 9.\nAnswer: 7886617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q + 4 = 0. Suppose -3*h + 0*r = -r - 22, 3*h + 4*r = 32. Suppose -h*i + 3*i + 15 = 0. Calculate the least common multiple of q and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(-379)\/((-168276)\/(-1480)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41 (b) -4 (c) 2\/11 (d) 2 (e) 0 (f) -1 (g) 1.77\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12388967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-69))\/(6\/36*6)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1177 + -0.1176627. What is p rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4293, 4 in descending order.\nAnswer: 4, -2, -4293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 64\/(-12))*(1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6438 and 5262282.\nAnswer: 194704434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10011111 (base 2) to base 5\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*r - 13051 + 16656 = -28294. Let b be (-7)\/4*-14*8. What is the highest common factor of b and r?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 7. What is the highest common factor of 65 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4464 (base 13) in base 6?\nAnswer: 112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, 2, -1813 in descending order.\nAnswer: 4, 2, 1\/3, -1813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29\/139 or -93\/47?\nAnswer: -29\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146712271?\nAnswer: 131, 349, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(40) - sqrt(10))\/sqrt(2) - ((sqrt(5) - -1*sqrt(5))*2)**2).\nAnswer: -79 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2766*u - 2796*u + 600 = 0 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 3. Let r be z(-5). Let f(s) = 6*s - 6. Let n be f(r). Suppose 2*m = 40 + n. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*y + 4 + 31, 0 = 5*y - 4*s + 35. Suppose 4*q - 1 - 11 = 0. Suppose 5*g - q*g = -14. Is y < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let r(n) = -n**2 + 509*n. Give 3*h(b) + r(b).\nAnswer: -b**2 + 506*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 17*b + 34. Let u be v(12). Let l = -51 + u. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-224)\/(-36) + 1\/1 and -85\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145 + -120. Suppose -17*z = -l*z + 120. Solve -7 = -2*c - z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19253573.\nAnswer: 31, 621083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.0537 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**6\/15 + 7*u**5\/10 + 7*u**4\/6 - 5*u**3 + 21*u. What is t in s(t) = 0?\nAnswer: -5, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 8 - 2. Let q be u\/(5\/(-4)) + -2. Solve 1 = 3*k + 3*x - q, -8 = k - 2*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03172 - 4.97772. Let a = d + -0.054. What is the third biggest value in 0, a, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*2*1 + sqrt(84) + 2*1*sqrt(84))\/((sqrt(432) - sqrt(432)*-2*-4)*5).\nAnswer: -sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, -22, 8, 98, 278, 578, 1028, 1658?\n\"Answer: 5*o**3 - 15*o**2 + 10*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 2. Suppose 0 = -5*p - 2*b - 3*b - 10, 6 = 3*p - b. Let f be ((7\/2)\/y)\/(p\/12). Solve 3*w = f*w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i + 7 = w + 51*i, -4*i - 23 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1081 + 1070 + (48 - -1) - 44?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5201 + -13.69?\nAnswer: -19.2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 3:46 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - n**4 + 3*n + (-7*n**3 - 179*n**2 + 179*n**2)*(-2*n + 0*n - 2*n).\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 4, 18359, -5, -13 in decreasing order.\nAnswer: 18359, 5, 4, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731561757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 6*v**2 - 5*v - 7. Suppose 0 = -5*c - w + 37, 5*c + 8 - 39 = 2*w. Let k be j(c). Solve 3*y + g = k, -5*y - 4*g + 13 = -2*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -31.5. Sort 3\/2, q, 3 in descending order.\nAnswer: 3, 3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2922 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 5*s + 6*s)*(3126953*s - 3126953*s - 82*s**3 - 2).\nAnswer: 246*s**4 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-315) - ((-24)\/(-50))\/(27\/30)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20977393\/196 + -107027. What is the common denominator of f and -7\/10?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 211*x**2 + 46834*x - 1872. Calculate z(-222).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -1\/6 (c) 6 (d) -5 (e) -4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*b**3*t**2 - 12400*a**2*b*t**2 + 65*a*b**3*t - 3*a*t**2 - 11*t**2 wrt a?\nAnswer: -4*b**3*t**2 - 24800*b*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 6 = 4. List the prime factors of 213 + 5 + c - 3.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99956847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from qjskqs.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13303, -13273, -13207, -13093, -12919, -12673, -12343?\nAnswer: -11917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 4*x**2 + 10*x - 8. Let k(m) = 2*m**3 + 9*m**2 + 19*m - 15. Let d(g) = 5*h(g) - 3*k(g). Is d(-6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1320)\/95 + (-32 - -46) - (-258)\/76.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2106984 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 8*a**2 - 2*a - 12. Let o = -22 - -14. Let p be k(o). Differentiate -y**4 - 5 - p*y**4 + 1 + 3*y**4 wrt y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.66525 + 115.36075. Let u = 116 - n. Are -3\/2 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-35) + ((-539)\/(-35))\/(-11). Suppose 8 = -3*a - 4. Let m be (-44)\/30 + a\/(-6). Does m = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 4001025*t**2 - 450*t**4 + t + 4001025*t**2 to the form d*t**3 + c*t**2 + o + v*t + j*t**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10 and -115729538911?\nAnswer: 115729538921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -57141.\nAnswer: -10\/6349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**7\/1365 + f**6\/130 - 3*f**5\/130 - 8*f**2. Factor l(b).\nAnswer: -2*b**2*(b - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1\/6, 13, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 89.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 80362?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 15*m**2 + 276*m + 468.\nAnswer: -3*(m - 13)*(m + 2)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 14) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 0*s + 3*s = -69, -4*s = -2857*j + 2862*j + 57 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.1. Let g be -5 + -1 + 11 + (-17)\/3. What is the closest to 0 in 3\/4, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4458 by 1027.\nAnswer: -4458\/1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.52881714 + -341\nAnswer: -340.47118286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 9993 = -5*w - 9753, 76 = w - 6*d for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 80, 42, -7 in increasing order.\nAnswer: -7, -4, 42, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 79*l + 791. Let i be x(88). Which is the nearest to i? (a) -2\/5 (b) -1\/5 (c) -899 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 86, 196 in decreasing order.\nAnswer: 196, 86, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + 22) - (-69 - (-295 + 225)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 364*j**2 + 39*j - 14165. Determine q(364).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a9 - 1?\nAnswer: 3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-6) - (-142)\/213?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.67 + 464481?\nAnswer: 464493.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2275 and 1750.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2963372?\nAnswer: -1\/1481686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(0*a - 2*a**5 + 0*a) + 2*a**5 - 8*a**4 - a**4 + 12*a**4.\nAnswer: -2*a**5 + 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - (7 - -2))*5\/2. Solve -3*z + t + 13 = -z, -3*t = f*z - 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l - 16*l + 11 - 6*l**2 + 0.\nAnswer: -6*l**2 - 37*l + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3 + -1*sqrt(704)*2 + 1)*-5 + -5)**2.\nAnswer: -4000*sqrt(11) + 71028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46636 - -4?\nAnswer: -46632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4836310 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2\/5 + 7028*o\/5 + 100920 = 0.\nAnswer: -1682, -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-42)*-85 + ((-629)\/(-238))\/37\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 10995?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5))**(-13)*q**(-11)*q\/(q*q**(-1)*q)*q assuming q is positive.\nAnswer: q**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/15 - (-2)\/(-6). Let h(n) = -n. Let g(r) = r**2 - r. Let m(i) = c*h(i) - g(i). Let f(d) = -d + 4 - 4. Determine f(m(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2571 in increasing order.\nAnswer: -2571, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147064309?\nAnswer: 7, 569, 36923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/7 - 99366*u\/7 - 247928768\/7 = 0. What is u?\nAnswer: -2381, 52064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1128860 and 49\/89744370.\nAnswer: 179488740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by -2 - 10 - (-76 - 26).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 885 = 61. Let c = 114 + o. Let v = c - -208. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -79, -209, -409, -685, -1043, -1489?\nAnswer: -2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 2*k**2 + 7*k - 1. Let i be o(-4). Let x be -2*(-2)\/4*i. Let z = -30 - -55. Solve -3*q + x*f = 0, -q + 3*q + 3*f = -z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 193924*x - 96963*x - 96957*x. Let h(m) = 1886*m**2. Determine q(h(z)).\nAnswer: 7544*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from bzbbzfzqqbrpfzf.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -49316802?\nAnswer: -1972672.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 43106 = -9*h. Let c = 4489 - h. What are the prime factors of c?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(104)*-1)\/((sqrt(288) + sqrt(288)*-1 - sqrt(288))*2))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 6. Let x = -108 - -85. Let q = x + 25. What is the second smallest value in a, -2, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-2988)\/72)\/(-83))\/((-2)\/(-72)))\/((-2)\/6).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -2168*z**3\/3 - 9*z**2\/2 - 149*z + 2008. What is the second derivative of t(o) wrt o?\nAnswer: -4336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 7*f + 22. Let s be p(6). Suppose -44 = 10*y + s. Does y = -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 534575049 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -17*i - 3. Let w be v(-1). Let j be ((-44)\/10)\/(w\/(-28000)). Round j to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:51 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*o - 7 = -5*w, 3*o + 9 = 5*w. Suppose w*a = 6*l - 2*l + 119, -2*l = 10. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15 - -31)\/(-32))\/(1\/2). What is the closest to -1 in 1\/2, -1\/5, c, 3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*5\/(135\/6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51\/2 + 26. Suppose -5*h + h - 8 = 0. Which is the nearest to d? (a) h (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -11. Suppose 5*y - 34 = -3*j, j + v = 2*y - 7. What is the remainder when 7 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 - 14*f + 8. List the prime factors of v(9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*y - 4*y - 207, 343 = 5*p - y. Is 68 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Let a = -2 + l. Is a at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, v: 2, m: 5}. What is prob of sequence ddm?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k**(1\/2)*k))\/k)\/(k\/k**(-2)))**40\/(k**3*k**(-10))**(3\/20) assuming k is positive.\nAnswer: k**(-2779\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*s - 337 - 312*s**3 - 191 + 207*s**4 - 156*s**4 + 408*s**2 + 3*s**5 = 0 for s.\nAnswer: -22, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 - -8)\/(-2)*(1 - -462)?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26380 + -26380. Which is the third biggest value? (a) -1\/5 (b) r (c) -1\/1321\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 2*a**2 - 3*a. Let y = -2 - -4. List the prime factors of l(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233254.\nAnswer: 2, 11, 29, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) -1 (c) -2 (d) 0.3 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/3 + 2*h**4 - 16*h**3\/3 - 8*h**2 + 32*h\/3 = 0.\nAnswer: -4, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -1.98. Let o = -113319 + 113318.9799966. Let p = o - b. What is p rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 7:44 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 122*m**2 - 68*m - 133. List the prime factors of y(-13).\nAnswer: 3, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*d - 20 = 5, -4*d = 4*q + 40. Let n = 37.3 - 33. Let g = n - 3.8. Sort q, g, -0.2 in descending order.\nAnswer: g, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 23*k - 320 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 = 13. Let a(d) be the first derivative of -3*d**2 + 1. Let z(n) be the second derivative of 5*n**3\/6 + 3*n. Give g*a(p) + 4*z(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 11. Let x = -1\/2200 + 4421\/46200. Which is the fourth biggest value? (a) 0 (b) u (c) x (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8900397 divided by -8173?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j + 21. Let r be s(10). Let d be (r\/(-6))\/((-21)\/4). Which is the smallest value? (a) d (b) -2\/11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4066778441 to the nearest integer?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.78051um in centimeters?\nAnswer: 0.008678051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8379210 divided by 837921?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 4. Let u be (-1)\/4*4\/(-5). Let z = -0.4 - -0.2. What is the closest to -3 in u, s, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 27*t + 27. Let z be 2*1\/(-11) - (-444)\/22. What are the prime factors of m(z)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.193 or 0.17994?\nAnswer: 0.17994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b - 2. Let i(w) = -14 - 7 - w + 36 - 14. Calculate a(f) + 3*i(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16169?\nAnswer: 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987980737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11*4\/(-112)*-4. Let m = t - -3\/2. Are m and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 - (-35)\/20. Let j be (-10)\/(-4 - (-4 + y)). Solve -m = 5*f - j, -2*f + 6 - 2 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -63.029. Let a = -0.391 - c. What is a rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-29 - -17) - (-16 + (-2 - -1))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 18*i**3 + 23*i**2\/2 + 108*i. Differentiate h(y) with respect to y.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*l + 2*h, -4*h = -l + 441 - 461 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -31. Let g be k*(1416\/(-9) - 2). Let h = g - 51659\/12. Calculate the common denominator of h and 38\/11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7408961?\nAnswer: 7, 1058423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 16 = 9. Suppose -i*a - 439 = 4*s, a - 2*a = s + 109. What are the prime factors of ((-42612)\/s)\/(1*(2 + 0))?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 211, 400, 845, 1654, 2935, 4796?\n\"Answer: 18*b**3 + 20*b**2 + 3*b + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 376 + -366. Suppose o = 53*d - 48*d, -5*d + 20 = 5*c. Solve -3*v - c*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/3)\/q)**(-9\/10)\/((q**(-1\/5)\/q)\/(q*q*q\/(q*q**(-5\/9)\/q)*q)) assuming q is positive.\nAnswer: q**(491\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-375606)\/739830 - (1 - (-18)\/(-15))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*g = 230 - 720. Let s(l) be the first derivative of 4\/3*l**3 + 0*l - 10*l**g + 17. Find the second derivative of s(b) wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -15*c**3 - 13*c**2 - 11. Let k(s) = -7*s**3 - 6*s**2 - 5. Let z(q) = 13*k(q) - 6*l(q). Let u(m) = -8*m**3 + 5. Calculate u(y) - 5*z(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5\/5 - 16*t**4\/5 + 38*t**3\/5 - 4*t**2 = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1934*y**2 + 34817*y - 90.\nAnswer: -(y - 18)*(1934*y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7536 + 2*q**2 - 26*q**2 - 19*q**2 - 2150.\nAnswer: -43*q**2 + 5386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) + 210\/25. Suppose -24 = 4*o - i*o. Solve f = o - 3, -17 = 5*u + f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 4) + -1 + 78?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 5)*(-8*b + 8*b + 5*b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*r, -4*k - 3*r + r = 14. Which is the closest to -2\/3? (a) k (b) 5 (c) 3\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (449 - 442)*((-2)\/(-7) + (-9)\/(-126))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 913, 1317, 1695, 2047, 2373?\nAnswer: 2673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*k - 225*k + 66 = -2*j, j - 3*k = -11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.27 + 2.173. Round o to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsoo when four letters picked without replacement from ooosoooowoosow.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 22*n**2 + 9*n + 3. What is s(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v = -6*v - 100 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Suppose 0 = -j + 4*n - g, -14 + 0 = -j - 5*n. What is the lowest common multiple of j and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218917?\nAnswer: 179, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g + 9*g + 117 = 23*w + 72*g - 7*g, 0 = 2*w + g - 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-361)\/(-53295) - (-33)\/(-1089).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35278 and 1.18.\nAnswer: -35276.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2717 + -2622. Calculate the remainder when i is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 27 less than -2895?\nAnswer: -2922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 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: Let u = 51241.342 + -75.342. Let y = -51159.6926 + u. Let s = y + -6.3. What is s rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5481 is divided by 248.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 7*a**2 + 6*a**2 + a**3 + 3*a**2.\nAnswer: a**3 + 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177113, 354384, 531655, 708926?\nAnswer: 886197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7018 a multiple of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 54. Calculate the greatest common factor of w and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 22 = 5*p, 3*t + 57 = 2*p + 43. Suppose -3*j = -3*i, p*i - 21 = 3*j - 6*j. Find o such that -36\/19 - 150\/19*o - 88\/19*o**2 - 14\/19*o**i = 0.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f**2 + 2205*f + 1310. Let b(t) = 13*t**2 + 2205*t + 1310. Let l(p) = 3*b(p) - 4*m(p). What is the first derivative of l(q) wrt q?\nAnswer: -2*q - 2205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 7*z**2 + 7. Let d(q) = q**3 + 4*q**2 - 14*q - 58. Let b be d(4). Let f(v) = 0*v**2 + 3*v**2 - 1 - 4*v**2. Determine b*f(l) + 2*n(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 62 * 0.1\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p + 0*p - p. Let r(l) be the first derivative of -16*l**3\/3 - 334. Calculate h(r(i)).\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*i - 2044, 3*i = 2*i - 2*a + 504. Suppose 5*y - i - 584 = 3*j, 0 = -y + j + 218. What is the remainder when y is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623889923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(45\/(-36)))\/(-1))\/((-296)\/(-20)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 549139.147 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5758 and 4185?\nAnswer: -24097230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 398331304 a multiple of 2015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56.5 + -0.055540209.\nAnswer: -56.555540209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 1\/24*f**4 - 7\/6*f**3 + 0 + 18*f**2 + 0*f. What is n(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:35 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*i + 61, 3*i = -a + 2*a + 2. Let d = a + 33. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 8*p**2 - 7*p + 10. Let c be x(9). Suppose -12*d = -10*d - c. Let t be (d\/63)\/(2\/(-3)). Sort -2\/3, t, 0.\nAnswer: -2\/3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, -3, -17, -47, -99, -179?\n\"Answer: -u**3 + u**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(17*k**4 + 18*k**4 - 6*k**4) - k**4 + 4*k**4 - k**4 + 3*k**4 + k**3 - k**3.\nAnswer: 34*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40, -194, -352, -514, -680, -850?\n\"Answer: -2*j**2 - 148*j + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277013464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3 + 4 - 49*a + 25*a - 48*a to r*a + i and give r.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - -75?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7612990*s**2*w**3 - 3*s*w**3 + 7*s + 5*w**3 + 19*w + 489 wrt s.\nAnswer: -15225980*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3986354 to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 787 - 3145\/4. Factor h*x**2 - 3\/2*x + 3\/4.\nAnswer: 3*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -3, -14, -29, -48?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -870*w = -436*w - 453*w - 387828000. What is w rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 414*n**5 + 5946*n**4 - 539684*n**3 + 1384776*n**2 - 654928*n - 20160 = 0. Calculate n.\nAnswer: -45, -2\/69, 2\/3, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 - 57. Suppose 196 = j + 5*x, -v*x = 5*j - 36*x - 1088. Is j a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 120422 - 5?\nAnswer: 120415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-23)\/u**(-19) assuming u is positive.\nAnswer: u**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(-1*sqrt(931) + -4)*3)**2.\nAnswer: 201600*sqrt(19) + 3409200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 6399.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**3 + 5*i**2 - i + 3. Let k(n) = -12*n**3 + 9*n**2 - 2*n + 5. Let q(x) = -7*g(x) + 4*k(x). Suppose 2*l + 0*l + 2 = 0. What is q(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27573 and 2121.\nAnswer: 27573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 111 + 499 = -g, -3*g = 2*s + 310. Let w = s - -1067\/7. Which is the nearest to -1\/3? (a) w (b) -1\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7 + 2 = 0. Let x(p) = 7 + 9*p - 7*p + 2 - 15. Give x(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkhkkkkkkkhkkhk. Give prob of sequence hhkk.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/14 + -1 + (-130)\/14. Suppose 20 + 20 = 2*c. Let l be (-46)\/z + c\/50. Solve 5*q - l*j - 9 = 2*q, 4*q = j + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170105501 to the power of 1\/3, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**3 + 2*s + 2. Let r be (1 - 1) + 3 - 0. Let l(y) = 7*y**3 - 20 - y**r - 2*y + 17. Calculate 5*g(q) + 4*l(q).\nAnswer: -q**3 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 22\/(-8)) + -3. Let v be ((-4)\/16)\/((-2)\/(-8)). Is v less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 82. Let z be s(0). Let j = -6\/35 + -17\/7. Calculate the common denominator of j and (z\/(-8))\/((-11)\/(-4)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -3bdb85?\nAnswer: 3bdb8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eebeezeebbbeebeebee. What is prob of picking 1 z and 1 b?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 7*t**3 - 3*t**3)*(-3*t + 4*t - 2*t).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 13 = 2*j, -3*d + 2*d + 5*j + 8 = 0. Let w = -11\/2 + 6. Suppose 3*b + 73 = 70. What is the nearest to b in w, 2, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -6*f**3 + 27423. Let j(w) = -w + 7. Let l(v) = 1. Let u(z) = 2*j(z) - 14*l(z). Calculate d(u(p)).\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**3 + 17*s**2 - 15*s + 8. Let n(d) = -3*d**3 - 16*d**2 + 15*d - 8. Let f(i) = 4*m(i) + 5*n(i). Is f(11) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 11*v**2\/2 + 9*v + 12. Let c be h(5). Suppose -2*u + c = -2*b, -5*u + b + 180 = 36. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 944363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**6\/120 + v**5\/15 + 5*v**4\/24 + v**3\/2 - 18*v**2. Let h be c(5). Let q(w) = 152*w - 5. Is q(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.7, -727\/2, 3, -0.2, -0.3?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588) + 2 - sqrt(588)) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 + 162. Calculate the greatest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30133 divided by 16?\nAnswer: -30133\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -12\/5*o - 2\/5*o**2 - 18\/5 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-3)\/(-9)*-1) - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18936 divided by -11?\nAnswer: 18936\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*t - 307. Let q be t\/(-35) + 6\/(-21). Let a be 6\/(-2) + 0 + q. What is the third smallest value in a, 0, -1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 616070?\nAnswer: -616070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 1\/2, -413, 56, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -87*v + 11309. Is 146 a factor of o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -23*q + 11*q + 9*q. Let p(u) = -5*u + 50. Let l be (-10 + 11)\/((-2)\/(-18)). Let s be p(l). Let h(a) = -6*a. Calculate s*b(f) - 3*h(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -79, -50, -13?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 - -3 - (-26)\/10\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 6, 2, 5, 140 in ascending order.\nAnswer: -48, 2, 5, 6, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 5.05?\nAnswer: 5.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-10)*16\/2. Let l be v\/(-2) + (-126)\/24. Let i(s) = s - 10. Let x be i(9). Does l = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -7. Find the second derivative of -2*m**4 + 2*m**3 + 0*m**i + 3*m - 2*m**3 wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 3*j**2 + 2*j - 3. Let y be z(3). Let l = -49 + 49. What is the second derivative of l*d - d - 65*d**y + 56*d**3 wrt d?\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, 31, 4, -19.\nAnswer: -19, 0, 0.3, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253933.\nAnswer: 197, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-165495)\/(-242726))\/(3\/110)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c**3 + 1736*c**2 + 1162*c - 580 = 0. What is c?\nAnswer: -1, 1\/3, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -205\/6 + 35. Let x = 5 - 12. Let n = x + 6.6. Sort p, n, -0.1, 3\/4 in increasing order.\nAnswer: n, -0.1, 3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.2136.\nAnswer: 0.2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33853541979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 11*m**8\/168 + 7*m**5\/20 - 3*m**2. What is the third derivative of w(d) wrt d?\nAnswer: 1320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (793 + 2165 + 1478)*(-2*i**2 + 0*i**2 + 0*i**2).\nAnswer: -8872*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*m + 2*u, 2*u - 11691 = -3*m - 11704 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -21981 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*q + 397 = 1606. Let s(f) = -7*f**2 + 3*f. Let k(u) = 15*u**2 - 5*u. Give q*k(w) + 5*s(w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*b - 1584 - 1436 = 0. What is the remainder when (-257)\/(((-3)\/(-1))\/(-3)) is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3 - 7*f**2 - 69*f - 117 = 0. Calculate f.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, 1 in decreasing order.\nAnswer: 16, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22\/(-66))\/(1\/(-3)). Solve -5*u = -6*u + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6 + (15 - 6) + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7676761, -15353525, -23030291, -30707059, -38383829?\n\"Answer: -k**2 - 7676761*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffggaggz. Give prob of picking 2 f and 1 a.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-1 + 0*a + a + 3)*(7399 - 348*a - 7399)*(-4 + 1 + 5).\nAnswer: -696*a**2 - 1392*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139110071 divided by 29?\nAnswer: 4796899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**7\/840 + g**6\/120 - g**5\/60 - g**4\/24 - 2*g**3\/3 + 4. Let m(y) be the third derivative of d(y). Determine m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1497 = -3*h + 320*v - 43*v + 23*v, 2*v + 9 = 15*h - 14*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, m: 2, w: 1, g: 4, l: 3}. Give prob of sequence wgg.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - -141. Let m = -673\/4 + l. Let j be (-4)\/(-60)*(2 + 0). Which is the biggest value? (a) j (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j. Let c be (-7 - (1 + -2))\/(-2). Let t be a(c). Does 16 divide t\/6*(-1 - -17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -13. Let l = w - -5. What is the tens digit of l\/(-9)*(-126)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3450523 (base 6) to base 7\nAnswer: 1340133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*r + 1 = 0, 3*o + 2*o = 4*r + 23. What are the prime factors of 6 - o\/((-15)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5286742356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 + 16*d + 4. Let m be z(-7). Let h be m\/162 - (-12)\/8. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27 times 150\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -603, -1891, -3193, -4509, -5839, -7183?\n\"Answer: -7*c**2 - 1267*c + 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-2)\/(-1008)*40.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/((-6)\/(-32)). Let f be (-4)\/g - 8801\/(-2). Round f to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2186 (c) -1095\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/3450 and 41\/690.\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1011?\nAnswer: -5\/1011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 + 5*z**2 - 7*z**3 + 4*z**2 + 2*z**3 + 0*z + 0*z + (-2 + 2 + 1)*(1 - 1 + z**3) to the form v*z**2 + u*z + d*z**3 + i and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533333 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 7:11 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1845353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p - 9. Suppose -175 = -f - 2*f - l, 187 = 3*f - 5*l. Let d = 88 - f. What is the remainder when d is divided by n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*((u**3*u)\/u)\/u*u**5*(u*u\/u**(-1))**(-4\/11))**(-42) assuming u is positive.\nAnswer: u**(-3654\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.97659s to microseconds.\nAnswer: 54976590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**2 - x - 7. Let g(u) = -5*u**2 + 6. Let n(b) = -5*g(b) - 4*h(b). Suppose 2*l - 876 = -884. Give n(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 2*f. Suppose 0*g = -5*v + g + 19, 0 = -5*g - 20. Solve -4*q = q - 5*i + 10, -5*i + v = f*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225 + -2 - (7 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2588987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60669 and 4494.\nAnswer: 121338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302756673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 126672858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g - 173. What is b(34)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3\/2 - u**2 - 3*u\/2 = 0. Calculate u.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u + 5. Let p be c(-5). Calculate the greatest common factor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 127591*i - 127608. Give f(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*d + 2*j, 2*j + 8 = 13*d - 16*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 961*l**2 - 487*l**2 - 630*l**2.\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**2 + 14*d**2 - 3*d**3 + 4*d**3 - 36*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 11. Let y(s) = 9*s**3 + s**2 + s + 1. Let m be y(-1). Let h be c(m). Suppose -h*v - 2*v + 430000 = 0. What is v rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8334*h - 2296 = -8362*h for h.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-48) + (5\/12)\/(300\/45)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5453889971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*n + 84, 80 = -0*n + 4*n + 4*s. Suppose -2*u = -n - 4. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 45*x - 1127. What is z(25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229714, -459451, -689172, -918877, -1148566, -1378239, -1607896?\nAnswer: -1837537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4840810 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -633.84 rounded to the nearest ten?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Suppose 0 = -6*v + v + 3*k + 89, t = k - 2. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.049 + 0.073. Let w = p + -53.024. Let s = 52 + w. Which is greater: 0.01 or s?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -397214701406526.\nAnswer: 397214701406526.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 35 = 5*o, -3*f = -o - 12 + 32 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 18*s = 364. Suppose 2*u + 74 = 5*u + 2*a, -5*a - s = -4*u. Suppose -3*j + u + 13 = 2*g, -5*j = -5*g + 105. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157954?\nAnswer: 2, 78977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 20\/12)*6\/2. Suppose 3*t = m*k - 27, -k - 18 + 1 = 4*t. Solve 5*z = -4*r, 0 = 5*r - k*z - 0*z + 37 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000013175 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 9 = 5*d - 2*j, 2*d + 2*j = 0. Suppose 0 = -d*s - 0 + 6. Solve -3*q = -s*r - 1, 7 - 17 = 2*q - 4*r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z + 10. Give a(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/18*(-139 + -12 + 0 - -13)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-266)\/76*3406\/(-7). What is the greatest common factor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30687\/10 + 3074. Find the common denominator of 61\/20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9955 divided by 5.\nAnswer: -1991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r + 545*r**2 - 8*r - 535*r**2 - 2*r.\nAnswer: 10*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxqlrqvvrqxereex. Give prob of picking 2 e, 1 q, and 1 r.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-11)\/33*(0 - (-21 + 20)))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16447 (base 12) to base 15\nAnswer: 960a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/7480 and 193\/3300?\nAnswer: 112200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(99) + -1 + sqrt(99)) - -5*sqrt(99)*-2)**2 - (3 + 4*(sqrt(99) + -3 - sqrt(99))).\nAnswer: 72*sqrt(11) + 1602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 0*a = -a - 2, 2*x - a - 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*p + 6 - 112, -4*p = -5*k + 102. Calculate the smallest common multiple of k and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 - 2*c + 2*c)*(-2 - 3 + 2).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12490*k + 12490*k - 62452*k + 12486*k + 12486*k + 12490*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*2*(-39)\/(-104)*-2*(-20)\/(-24).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -13 + 21 - (-7 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*j = -0*r, -5*j - 10 = 2*r. Suppose -2*k + 4*g = 2*k + 84, 2*g = r*k + 99. Let v = 29 + k. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 67. What is the lowest common multiple of s and 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 4\/9 (c) 6101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**5 - 14*q**4 - 34*q**3 - 34*q**2 - 12*q = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/2837 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1766*b = 1637*b + 1677. Let m(o) = 0 - o**2 - 2*o**3 + 0 - o. Calculate the remainder when m(-3) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 2, 9, -4, 1\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = -r + 6*r, 5*r + 2*a = 9. What is the nearest to r in -3\/2, 3\/7, -0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 88*l + 11 - 17 in the form y*l + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279314517.\nAnswer: 3, 37, 673, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 1, a: 2, z: 1, i: 1, v: 1}. Give prob of picking 1 z, 1 a, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5199.268 micrometers in meters?\nAnswer: 0.005199268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 41, 4, 159, 2 in ascending order.\nAnswer: 1\/4, 2, 4, 41, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 1.2, -4\/17, 7, -2\/7, -1\/70?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:29 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 2 = 11*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s. Let a = -4807 + 4810. Let u(j) = j**3 + j + 6. Calculate a*m(x) + u(x).\nAnswer: x**3 - 2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + 0*j + 2*j)*(-2 - 2*j + 2) + 72*j + 63*j**2 - 72*j as l*j + g + c*j**2 and give c.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 3*y + 887352 - 3*y**3 - 887352 + y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 671619 and -2\/47 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1708 and 118664?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/10 and 452\/(-24) - (-18)\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2ca - 0?\nAnswer: -2ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -8. What is the nearest to -1\/4 in 1, a, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196.56 - -198. Let p = 1.56 + t. Sort 4, -4, -3, p.\nAnswer: -4, -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-25)\/15 - -4) + -4. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-2*-5*1*2)\/(-6*(sqrt(16)\/(sqrt(2) + sqrt(18)) - (sqrt(40)*1)\/sqrt(5))) + -2.\nAnswer: -2 + 40*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03916619 rounded to three dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(45) - (sqrt(125)*-3 - sqrt(5))))**2.\nAnswer: 608*sqrt(5) + 7284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1919*o**3 + 407.\nAnswer: 5757*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1232 - 113?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (-5*(-2 + sqrt(171)) + 3*sqrt(171)*1)*-4*2.\nAnswer: -77 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1614 + 1619 - 5*k**2 + 56*k**3 - k + 9*k**3. Let d(n) = 32*n**3 - 2*n**2 + 2. Determine 5*d(y) - 2*q(y).\nAnswer: 30*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15*l + 124. What is the units digit of c(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(24)\/sqrt(4) - sqrt(6)))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 844 + -814 - (-2 + -19)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 212 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + x = -122, 0 = 886*u - 837*u - 3*x + 1896 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914423 is divided by 143?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9660\/(-1104)*(-3)\/(-2)*16\/(-15)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - 15) + -10 - -9 - (-8 + (0 - -3)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32713 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.024*753.\nAnswer: -18.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1\/61505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**8\/336 - t**5\/15 + 7*t**2\/2 + 4. Let l(i) be the second derivative of n(i). Find the third derivative of l(o) wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 20*l - 31 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22422718800 rounded to the nearest one million?\nAnswer: -22423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2286923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 161, 11, -5, -2 in ascending order.\nAnswer: -5, -2, 11, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -633744 divided by 11736\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3627 - 2883 = 0. Suppose 17*x = -o + 8225. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37830?\nAnswer: 2, 3, 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 2)*(7*r**3 - 6*r**3 + 7*r**3).\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24243 divided by -3.\nAnswer: -8081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.22 + -0.22. What is the closest to 1\/3 in -5, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11231.738 and -2?\nAnswer: 22463.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41.5 and 5.\nAnswer: -207.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.5 + -3.489. Let h = c + 0.036. Let b = h - 0.024. What is b rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = 3*g - 6*j - 11, -12 = -4*g - 4*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/(153\/(-108)) - (0 - -4). Let w be (h\/40)\/((-4)\/30). Solve 0 = 2*z + z - w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74368581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 138, 4, -1860 in descending order.\nAnswer: 138, 5, 4, -1860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -2, 5, 0 in descending order.\nAnswer: 16, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m. Let s(l) = l + 1. Let o(c) = -c**2 + c + 3. Let u be o(3). Let x be s(u). List the prime factors of a(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 281, 477, 673, 869, 1065?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2129310 divided by -47318\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7857*p = 8012*p + 1240 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 2*x**5\/5 + 4*x**3\/3 + 6. What is the third derivative of s(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-10)\/(-20)*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from plnnnnnpnnppppn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.086\nAnswer: 0.0344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*g - 44 = g, 5*m + 2*g = -172. Is 36 a factor of (m\/(-5))\/(((-12)\/75)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, -1\/6, 24\/11 in decreasing order.\nAnswer: 24\/11, 0.1, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -73. Let y(x) = -112*x - 4012. Calculate the smallest common multiple of o and y(-36).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -216, -838, -1866, -3294, -5116, -7326, -9918?\n\"Answer: u**3 - 209*u**2 - 2*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 21 = -9*m. Let r(h) = h**2 + 4*h - 7. Let k(q) = q**3 - 7*q**2 - 2*q + 9. Let c be k(7). Let x be r(c). Is m at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 630\/((3\/14)\/1). What is g rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r - 2*r**4 + 8*r + 0*r**4)*(-2*r - 5*r - 3*r).\nAnswer: 20*r**5 - 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.049 + -0.951. Which is the nearest to 2\/7? (a) f (b) 0.4 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5759\/14335 - -5\/2867. Let h = 2 - 2.1. What is the closest to -2\/7 in -1, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/8822 - 338737\/1146860. What is the common denominator of -97\/30 and x?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/109175820 and -71\/39.\nAnswer: 109175820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -13, 1, -41?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 2*j - 3. Let g(q) = q**2 - 13*q + 12. Let n be g(12). Let i be a(n). Is 8\/i*(-273)\/28 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -63, -93, -123, -153, -183?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a - 302 + 106 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3\/8))\/(c*c\/c**36)*c**19\/c*c\/(c*c\/(c**(-19)\/c)*c) assuming c is positive.\nAnswer: c**(245\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -22006\nAnswer: -110030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6457647 (base 8) to base 5\nAnswer: 420302143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20044827 and 0.3?\nAnswer: 20044827.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, 2, -3 in increasing order.\nAnswer: -5, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - 8. Let l be 10\/12*6\/w. Which is the second smallest value? (a) l (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 90*l - 7. Is o(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8516, 17077, 25654, 34247, 42856?\nAnswer: 51481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0, 0.11, 6, 23, 5, -2\/33?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 3*l + 3. Let w be b(2). Suppose 71 = 3*j + w*u, 6*u = 3*j + 3*u - 87. Suppose -2*c = -6*c + 56. What is the remainder when j is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -478*y - 2709. Determine w(-6).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388818926.\nAnswer: 2, 19, 31, 330067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 20, 0.03, 0.1, 10.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -25.82. Let w = k + -4.18. Let v = -3.82 - w. What is v rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109\/119 + 18\/17. Let s be 24\/(-44)*2\/6. Which is the nearest to k? (a) 4 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**2 - 3*i - 2. Let z(m) = 5*m**2 + 4*m + 3. Let u(v) = 4*o(v) + 3*z(v). Suppose 2*b + 8 = b. Let n = b + 11. Determine u(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*x + 344 = -459 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 28\/8)*26. Solve 4*w + i = -t, 3*t - 5 + 20 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 15*v**2 - 1 + 0.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -16. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*((w*(w*w*w*(w\/w**1)\/w*w*w)\/w)\/w)\/w))**(5\/6)\/(w\/w**(6\/11)*w**(2\/5))*((w\/w**3*w)\/w**(2\/25))\/(w**(-5)\/w*w**(1\/6)) assuming w is positive.\nAnswer: w**(1154\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 38*n - 41*n - 16, s = 2 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/17))**(-5\/12))**(-1\/23) assuming h is positive.\nAnswer: h**(-5\/4692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162 + -159. Suppose -d = o*x - 177 - 131, -x - d + 104 = 0. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 847\/115 or -0.02?\nAnswer: 847\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by -29942?\nAnswer: -41\/29942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**7\/21 + 136*w**6\/3 + w**3\/6 + 455*w**2 + 2*w - 50. What is the second derivative of h(v) wrt v?\nAnswer: 40*v**3 + 16320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.83002 - -1.83. What is n rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -122. Let c = p + -59. Calculate the greatest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36868 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9*i - 100. Let u be h(-11). Is 2\/181 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -12*d + 3\/5*d**5 + 0 + 2\/5*d**6 + 1\/14*d**7 - 3*d**2 - 1\/2*d**4 - 5\/2*d**3. Let j(x) = 0. What is x?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -39?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqu when four letters picked without replacement from uququuquuquuq.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472, -833, -1090, -1249, -1316, -1297?\nAnswer: -1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 - o**3 + 4*o**2 + (3*o - 8*o**3 - 3*o)*(1 - 2 - 1) + 9*o**3 - 12*o**3 - 3*o**3 + (4*o**2 - 4*o**2 - 2*o**2)*(4*o - 6*o + 4*o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4 - w + 5*w - 6. Let v(i) = -i**2 - 15*i - 20. Let s be v(-13). Let p be (s\/5)\/(4\/10 + 0). Let d(r) = -5*r + 3. What is p*u(j) + 2*d(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -365\/6. Suppose 3 = -0*q - 3*q. Which is the nearest to q? (a) 1 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/5, -2\/21, -1, 3\/8, -1\/3402?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -100*k**5 - 2435*k**4 + 6915*k**3 - 6395*k**2 + 2285*k - 270 = 0. Calculate k.\nAnswer: -27, 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 842246417 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.01560589.\nAnswer: 0.001560589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -20*c**2 + c + 8. Let h(l) = 7*l**2 - 3. Let b(u) = 17*h(u) + 6*o(u). Let f be b(2). Let r(m) = -m**3 + 8*m**2 - 4*m. Is r(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -651381*h**3 + 325799*h**3 + 325746*h**3.\nAnswer: 164*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 48967014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 2*g**2 - 2*g + 2202. What is the smallest common multiple of b(0) and 4?\nAnswer: 4404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4684375 and 205363.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/14 - (-1)\/(-2). Let z(a) be the third derivative of -a**6\/120 + a**5\/10 - 5*a**4\/24 - a**3\/6 + a**2. What is the tens digit of z(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -205, -429, -671, -937, -1233, -1565?\n\"Answer: -z**3 - 3*z**2 - 208*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 72.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34046.02965 + 34042. Let z = -4.03 - d. What is z rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11 and 26.8?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 20. Let f be ((8\/(-30))\/(-4))\/((-2)\/6). What is the third smallest value in f, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y**2 + 2*y - 3. Let l(u) = 14*u**2 + 4*u - 6. Calculate -6*l(m) + 11*n(m).\nAnswer: -7*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1433*p - 1372. What is n(1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/75 of a hour?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8773.527 millennia in decades?\nAnswer: 877352.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * 11416.\nAnswer: 410976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262678 is divided by 37510?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.017 and 0.0043061028.\nAnswer: -0.0126938972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 5. Let q(w) = w**3 + 7*w**2 + 6*w - 7. What are the prime factors of q(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 579 - 2901\/5. Which is the smallest value? (a) -0.4 (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22058947?\nAnswer: 2909, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/5, -0.15, 6?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine halves of a day?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.77715ml in litres?\nAnswer: 0.03677715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, 4, 2, -14, 0 in descending order.\nAnswer: 10, 5, 4, 2, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 5:48 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/16930 and 65\/37246?\nAnswer: 186230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -1\/8*x**4 + 2*x**2 + 0 + 0*x + 0*x**3. Let c(h) = -6*h**2 + 7*h**2 + h**2 - 4*h**2. Give c(i(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/27, 5\/2262, -10?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -192. Let z = 116.0000148 - v. What is z rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11633751 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2. Let b(w) = 29*w**2. Calculate b(z(f)).\nAnswer: 116*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (sqrt(85) - (sqrt(85) - 2*sqrt(85))*-4) + sqrt(85))\/((-1*sqrt(125) - sqrt(5)) + sqrt(5) + sqrt(5)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/5 of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 273765 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.237 - 354.763. Let h = j + 355. Let a = 1.2 - -3.8. What is the nearest to 0.2 in 4, h, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 330 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -55601154 != -55601155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 - 83 + 244 - 338*n - 78)*(398*n + 20*n**3 - 398*n).\nAnswer: -6760*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 348, -8826, -17998, -27168, -36336, -45502?\n\"Answer: i**2 - 9177*i + 9524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*z**2 - 2586*z + 6378*z + 4*z**5 + 1474*z wrt z.\nAnswer: 80*z**3 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28724, -40117, -59104, -85685, -119860, -161629?\nAnswer: -210992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -150, -406, -778, -1272, -1894, -2650?\n\"Answer: -t**3 - 52*t**2 - 93*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10422, 10425, 10430, 10437?\n\"Answer: l**2 + 10421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 8.03. Let f = 218 + -129. Let t = -91 + f. Which is bigger: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*t = -44, 0 = 2*o - 4*t - 5 - 7. Calculate the remainder when (-12)\/(-28) - (-1604)\/o is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = 81 + 3 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 949289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 820*c**2*z - 241*c**2 wrt z.\nAnswer: 820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*14*28\/(-49).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 9*n - 7. Let o be l(7). Let g(k) = 30*k + 27*k + 8*k**2 - k**3 - 11*k - 52*k - 3. Determine g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12183469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 0*s = -t + 6, 4*s + 8 = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 7*w**2 - 7*w - 48. Let m be j(-7). Let p(f) = 6*f**3 + f**2 - 2*f + 2. Let x be p(m). Which is greater: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (189\/(14 + 13) + 43\/(-2)). Factor -33\/4*q - 9\/4*q**4 - 9\/4 - x*q**2 - 15\/2*q**3 - 1\/4*q**5.\nAnswer: -(q + 1)**3*(q + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + -8. Let f(p) = -18*p + 33. What are the prime factors of f(o)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*y, -30*c + 34 = -35*c + y for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 9*m - 15. Give q(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 280 + -284. Let v be ((-10)\/x - (13 - 11))*16. Solve 5*u - 7*u + v = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d + 4 = 0. Find the second derivative of -2 + 2 - 3*q + d*q**2 wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 21*o - 20. Is f(11) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 103. Let f(h) = -7*h. Determine g(f(s)).\nAnswer: -7*s - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2913, -5850, -8797, -11760, -14745, -17758?\nAnswer: -20805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 245*c**2 + 121*c**2 + c + 9 + 121*c**2 + 34*c**4 in the form p*c + v*c**3 + y + g*c**2 + d*c**4 and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.433 in -2, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 27*a - 33. Let s be i(12). Let w(k) be the second derivative of k**2 + s*k + 2\/3*k**3 + 1\/6*k**4 + 0. Factor w(r).\nAnswer: 2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5281 (base 9) in base 3?\nAnswer: -12022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (4633479\/15)\/3 - 4\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*g + 108*g - 7 = 227*g. Sort g, -10, 3.\nAnswer: -10, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*h = -g - 480, 5*g = 337*h - 336*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 9*h**2 - h - 7. Let a be r(-9). Suppose 4*u - 86828 = -a*f, -3993 = -u - 2*f + 17708. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 106*j - 2531. Determine l(-41).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64c2 - 93?\nAnswer: -6555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 151*k - 12. Let d(v) = 151*v - 9. Determine -3*b(s) + 4*d(s).\nAnswer: 151*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 914.2345um in nanometers?\nAnswer: 914234.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-52)\/440*26 + 3. Let p = 2768\/55 - g. Let v = p + -50. Which is the closest to -3\/5? (a) 1\/6 (b) v (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 21. Let a be z(0). Let v be (-4)\/((-4)\/a) - 2. Suppose 0 = 4*t - c - v - 15, -10 = -2*t - 3*c. 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 v be (-45)\/6*2\/(-3). Suppose -5*x = -5 - v. What is the third derivative of x*z**2 - z + 3*z**6 + z wrt z?\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147126174?\nAnswer: 2, 3, 13, 1886233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 536 - 535.8. Let j be (-14)\/6 + (-6)\/(-3). What is the closest to 6 in j, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y**2 + 2*y + 1. Suppose -s + 5*m - m - 1 = 0, -4*s - 3*m - 4 = 0. Give r(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 4, -5, 82, 5, -13 in decreasing order.\nAnswer: 82, 5, 4, 3, -5, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -721 - 1066 + 38 = -3*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -10301.7.\nAnswer: -10301.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b - 8. Suppose 0 = -y + b*y - 30. What is the remainder when 17 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a + 0*a + 3*a)*(-2 - 2*a**2 + 2) + 2*a**3 + 0 + 0 + 2*a**3 + 0*a**3 - 3*a**3 + (5*a + 0*a - 3*a)*(-3*a**2 - 2*a**2 + 4*a**2))*(14*a + 7 - 7).\nAnswer: -70*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 88 = -6*l. Let d = l + -6. What is the greatest common factor of d and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9752 is divided by 233?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44306 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4*x + 7*x + 3 in the form o + q*x and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1388 + 1390. Let l be 186\/700 + -1*2\/7. Which is bigger: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4690 + 294. What are the prime factors of t?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -7345085466.\nAnswer: 7345085448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169464666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 37*b**5\/60 - 5*b**2 - 5*b. Let o(l) be the third derivative of 0*l**3 + 0*l + 3*l**2 + 1\/12*l**4 + 0. What is o(c(g))?\nAnswer: 74*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1100010100000000011 (base 2) to base 8\nAnswer: -1424003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282440 divided by -4.\nAnswer: -70610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 4 + 5 - 9.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (18 + 9) - -12 - (-6 - -40).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -309*f - 60151. Calculate h(-195).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 306080237945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 + 4*z**3 - 2*z**3)*(4*z - 5*z + 6 - z).\nAnswer: 6*z**4 - 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8167, 8167, 8165, 8161, 8155, 8147, 8137?\n\"Answer: -s**2 + 3*s + 8165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2 + 5*y + y - 2*y + 1. Let n = -17 - -12. Let f(x) = 0*x + 3*x - 5*x - 2. Give n*f(r) - 3*b(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, x: 1, p: 2, b: 1, g: 2, t: 1}. Give prob of picking 1 t, 1 x, and 2 g.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -2\/5, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*s - 1874 = -306*s + 991 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331126.\nAnswer: 2, 17, 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 78341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-1\/2)*i)*i*(i*i\/i**13*i*i)\/i assuming i is positive.\nAnswer: i**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 563624 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*l - 149 = 0, -2*g - 4*l + 96 = -52. Suppose -4*d + g = -0*d. Let w = d + -11. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -58, -68, -92, -136, -206, -308, -448?\n\"Answer: -l**3 - l**2 - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1eeb4f (base 16) in base 8?\nAnswer: -7565517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*j = -91690 + 28010. What is the lowest common multiple of j and 200?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13337 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: Let g(l) be the second derivative of 0 - 1\/6*l**3 - 1\/4*l**2 - 8*l - 1\/24*l**4. Let g(h) = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -676.02082 - -676. Let o = -0.0158 - q. What is o rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4754\/5 + 954. Let i(n) be the first derivative of -h*n**5 + 0*n + 0*n**2 - 1 - 2*n**4 - 1\/3*n**3. Factor i(f).\nAnswer: -f**2*(4*f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**3 - 4*r**2 - 2*r - 7. Let u(y) = -7*y**3 + 5*y**2 + 3*y + 9. Calculate -5*q(i) - 4*u(i).\nAnswer: 3*i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 316.5022 grams?\nAnswer: 0.3165022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 8. Let t be (36\/(-24))\/((-5)\/((-280)\/(-12))). Calculate x(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -1*(21 + -1). What is t rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -10*n. Suppose n*z = -4*s + 5*z + 26, -3*s - 5*z + 2 = 0. Let t(u) = 3*u. What is the remainder when t(4) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -6, -2, 2 in decreasing order.\nAnswer: 7, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -3, 18, -0.2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 281922 < 281924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17651 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 786771, 786757, 786737, 786711, 786679?\n\"Answer: -3*a**2 - 5*a + 786779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1524 - 1524. Solve u = -2*k - 31 + 27 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -780 - -780. Let z(p) be the third derivative of -p**2 + 0 - 1\/360*p**5 - 1\/144*p**4 + l*p**3 + 0*p. Find h such that z(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = -8. Suppose -255*x - 32*x = 7*x - 34692. Calculate the remainder when x is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 2. Let z(y) = y + 7. Suppose k - 3*k = 12. Let n be z(k). Which is the second smallest value? (a) 2\/13 (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(408)\/(-2*sqrt(32)\/sqrt(4)))\/(sqrt(15)\/(-4*sqrt(125))).\nAnswer: 5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 50*r + 5. Let w be (10\/50)\/(((-9)\/15)\/(-3)). Is u(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -396 - -378. Let v(a) = -a**2 - 1 + 9 + 1 + 6*a. Let z be v(9). Is z less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45964 not equal to 321744\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*k - 74 - 777 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26236, 65461, 130836, 222361, 340036?\n\"Answer: 13075*c**2 + 13161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2988122663 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/2069?\nAnswer: 2\/2069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 958911?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042746 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90684 by 332.\nAnswer: -22671\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8008645920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 30*q**2 + 144*q - 3498. Give u(31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (104\/(-6))\/(13*64\/1248)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1294150 divided by -4525?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 962, 1914, 2858, 3794?\n\"Answer: -4*r**2 + 964*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47567467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(-5 + 5 + h**2)*(-11*h**2 + 30*h**2 + 9*h**2) + 2*h**4 + 0*h**2 + 0*h**2 + (h**4 + 0*h**4 + 0*h**4)*(9 - 6 - 19).\nAnswer: -70*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o = -110 + 30. Solve -o = 9*h + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2, 1, 210, 5, 25 in descending order.\nAnswer: 210, 25, 5, 1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**5 + 30*d**4 - 93*d**3 - 102*d**2 + 182*d + 160. Let o(i) = -i**5 + i**3 - i**2 + i. Let c(l) = -a(l) + 2*o(l). Find w such that c(w) = 0.\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 6. Let l(c) = 10 - c - 21 + 9. Let t be l(-9). Determine o(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 11:29 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668006 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: Let m(d) = 390*d - 1477. Determine m(4).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 43, 200 in increasing order.\nAnswer: -19, 43, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5 (c) 2.29 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2 + 38618*y + 6308604 = 0. What is y?\nAnswer: -162, 19471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 40 + 36*g - 34*g - 98 + (-11 + 0 + 19)*(-1 - g + 1) to the form s + j*g and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6746.115 micrograms in milligrams?\nAnswer: 6.746115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 668*z + 11. Let w be x(24). Suppose j - 111957 = w. What is j rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 13*l + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-35)\/(-15))\/(-7)*576\/(-384))\/((-26)\/72).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2510, -2511, -2512, -2513?\nAnswer: -2514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -3 + (-4 - 1) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 660493350 divided by 846\nAnswer: 780725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 36 + 29 = 5*v, -3*v + 18704 = 2*o + 18680 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.147 + 0.253. Let g be (4\/(-6))\/(5\/(-6)). Which is the second smallest value? (a) i (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:33 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 39*(50\/(-300))\/((-2)\/4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30.24 + 30. Let x = w + 0.34. Let p = -0.5 + -0.5. What is the closest to p in 1, -1\/6, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18358 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4))\/((-72)\/((-216)\/3))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) 4\/3 (c) 2 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -609, -2421, -5441, -9669, -15105?\n\"Answer: -604*b**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04 from -2090502642.\nAnswer: -2090502641.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 2 = 5*s - 2*k, 32*s = 33*s + 4*k - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518446643?\nAnswer: 3, 7, 10329569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 2275090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a = 4*b + 72, -a = -2*b - 12. Let x be (34\/(-8))\/(3\/24). Let t = x - -66. Calculate the greatest common divisor of a and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 5.9.\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -13*q + 10. Let f(a) be the second derivative of a**5\/20 + 7*a**4\/12 - 4*a**3\/3 - 2*a**2 + 21*a. What is f(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - ((-1212)\/(-12))\/(1 + 0). Let p = m + 109. Which is the fourth smallest value? (a) -4\/7 (b) 1.3 (c) p (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4620\/(-8))\/11*((-8)\/(-20))\/((-2)\/(-8))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + 17*k**2 + 6*k - 7. Let r(f) = -f**2 - f + 1. Determine -6*r(t) - y(t).\nAnswer: 2*t**3 - 11*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 4174.6?\nAnswer: 417.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -4689?\nAnswer: -51579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 36. What is the smallest common multiple of 4 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*c + 45*c - 18 = 5*d, 3*d = -2*c - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + -1532?\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6314*m**3 + 6277*m + 44. Let k(f) = -2105*f**3 - 2093*f - 16. Let j(p) = 4*c(p) + 11*k(p). What is the second derivative of j(d) wrt d?\nAnswer: 12606*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -13. Let k(s) = s**3 + 9*s**2 + 6*s + 4. What is the tens digit of k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177675 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1157 + 0.0457. Is t less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009562457 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -483 + 483.2. What is the closest to b in 0, -1\/2, 4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1143*o**2*u + o**2 + 4061*u with respect to o.\nAnswer: -2286*o*u + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -25\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 6*z - 5. Suppose 2*a - 2 = 3*y - y, 0 = -2*y - 4*a + 10. Suppose 7*f - 27 - y = 0. What is j(f)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 1847585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(30\/(-12)). What is the second smallest value in u, -0.5, -2, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 66*i. Let u(d) = 4*d**2. Determine u(a(q)).\nAnswer: 17424*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**2 - c**2 + 2*c**2)*(-140 + 53*c + 278 - 142) to s*c**2 + y*c + o + t*c**3 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 142\/21, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5967, 11373, 16779?\n\"Answer: 5406*r + 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, 2, 2.3, 51, -1397?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 44 + 54)*(-1 + c + 1) + (-2 + 2 + 2)*(1588*c - 802*c - 796*c).\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3345385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 15 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144740.\nAnswer: 2, 5, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -17517*l + 210474. Calculate b(12).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/28 - (4 - (-34)\/(-8)). Let c = 1473878 + -64844837\/44. Let z = 525\/4 - c. Does h = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29318228 divided by 3\nAnswer: 29318228\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/36*-3)\/(40\/(-32))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -71\/4, -0.7, 1\/3, -0.09, -5\/7, -2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125729 = -5*b + g - 37409, 5*b = 4*g + 88335. What are the prime factors of b?\nAnswer: 17, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/27)\/((9\/(-18))\/((-4)\/(-174)))\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30624083 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000255552491 to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*l + 3, 5 = 3*l + 2*r - 3. Let p(y) = -y**2 - 2*y**2 + 4*y**l - y. List the prime factors of p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1877816.2 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38490, -76886, -115282, -153678, -192074?\nAnswer: -230470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 2360*x**2.\nAnswer: 5*x**2*(x - 472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/10 or 19\/10169?\nAnswer: 19\/10169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 22. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-1 + (3 - 2))\/1. Let m(j) = -j - 1. Calculate m(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51200 and 3200?\nAnswer: 51200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 24 = -5*m, 4*o = 7*m - 97 + 85 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -25, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times -10?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117559155 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: Calculate the common denominator of -58\/153 and -59\/1758.\nAnswer: 89658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.6 + 26. What is the second smallest value in 0.2, -0.2, -3, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 14*i - 65. What is the units digit of t(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -132914076 and -347207.\nAnswer: -133261283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d + 1. Let p be r(-3). Let a(h) = 2*h**2 - 11*h + 6. List the prime factors of a(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 + 26*r**2 - 13*r + 8. What is s(4)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 23. Let p = x - -37. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 12, 40\/17, 2, 2332?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7429*d + 36886 + 96836 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 0.473628533071?\nAnswer: 3.473628533071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 718, 709, 700, 691?\n\"Answer: -9*j + 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201419 is divided by 56.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/(-4))\/9*(-4)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 7. Let w = 0 + g. Calculate the remainder when 14 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q + 1. Let f(y) = -32373*y + 8393. Give -2*f(s) + 16786*m(s).\nAnswer: -2398*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - 2*m + 24. Let r be z(0). Which is greater: r or 21?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 280201?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92978?\nAnswer: 2, 46489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6909*s - 6076*s + 13670*s + 2*s - 2 + 2 + (3*s - 5*s + 3*s)*(3 + 1 - 2) to the form c + x*s and give x.\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-48)*15\/2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1135663253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**7\/336 + 3*z**6\/40 - 9*z**5\/32 - 47*z**4\/48 + 5*z**3\/2 - z - 2547. Let p(g) = 0. What is g?\nAnswer: -20, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -1631*h**3 - 2*h - 2. What is the units digit of i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 25423.\nAnswer: 5\/25423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 948.1 and 0.038 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (1 + (sqrt(2736)*-2)**2)) + -1*(2 + sqrt(2736))**2)*-6*6.\nAnswer: 1296*sqrt(19) + 492660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 754 and 2374.7.\nAnswer: 1790523.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 11*z**2 - 1 + 4 - z - 2. Let h be (-6)\/((-9)\/(-3)) - -1. List the prime factors of b(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 357 and 3236289?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r**2 + 5*r**2 - 2*r**2)*(-1 - 5 + 1 + (0 - 4 + 2)*(2 + 1 - 4)) to m*r**2 + p*r + t and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -13. Suppose 3*l - 6*l + k*j = -29, -2*j = -l + 7. Let w = 22 + l. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r + 51. Calculate g(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqqjrruw. Give prob of picking 1 u and 2 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 0 - 2 - (22 + -42 + 12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 15. Let g = m + 10. Solve -g*b + 9 = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176*i**2*w**5 - 20*i**2*w**4 + 2*i**2*w + 222*i**2 + 5*i*w**2 wrt w.\nAnswer: -10560*i**2*w**2 - 480*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 570861042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 810, -5, -2, 12 in decreasing order.\nAnswer: 810, 12, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/3*10\/(-15). Let k(h) = 2*h**2 + 3*h + 1. Let s be k(-2). Let x be (s\/(6\/20))\/2. Sort 2, o, x in ascending order.\nAnswer: o, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 20*y**2 - 36*y + 6. Let d be p(18). Solve -39 = -d*i - 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -19*v + 36*v. Let o(r) = 31 + r**3 - r**2 - r + 2*r + 2*r. Is 8 a factor of o(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 15*c**2 - 6*c + 95. Let i be z(15). Suppose 3*w - 2 - 7 = 0. Suppose -t - 24 = -3*t - 3*p, i*t + w*p - 78 = 0. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482797102?\nAnswer: 2, 1327, 181913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*r + 1, r - 3*r - 4*n = 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 338. Let l(z) = -4*z - 677. What is 11*c(s) - 6*l(s)?\nAnswer: 2*s + 344","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20954485.7 rounded to the nearest 100000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -40*p + 105. List the prime factors of l(-7).\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -5\/2, 0, 0.5, 40\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 + -0.08. Let x = d - -5.01. Let a = -61 + 123\/2. What is the third smallest value in a, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 3. Suppose 46 - 1 = 5*g. Suppose 2*p = 2, 3*p = -0*w + 2*w - g. Are w and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yye when three letters picked without replacement from {e: 5, y: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 327789 and 14157.\nAnswer: 4261257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, 1\/4, 2\/3, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 55 + 19 - 4 + 2*a + 3*a**2. Is z(7) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -7*i**4\/12 - 11*i**3\/2 + 10*i**2 - 35*i. What is f(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 4*n**2 + n + 8. Let q be d(-4). Let x = 13 + q. Suppose x = 2*b - 5. What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + 47465\/(-2255) - (-14)\/287?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 6. Let d(f) = -f - 2. Let j(o) = -a(o) - 4*d(o). Let r(k) = 66*k + 27. Suppose v - 5*v - 16 = 0. Calculate v*r(m) + 54*j(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*t = 18, -4*h - 3*t = 2*t - 75. Calculate the remainder when h is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*z - 12 - 513 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-175) + 40\/(-210)*39\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-4\/7))\/h*h*h\/(h**19\/h)*h**23\/(h*h**(5\/8)*h) assuming h is positive.\nAnswer: h**(277\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 321283 = 9*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -706, -1346, -1986, -2626, -3266, -3906?\nAnswer: -4546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 17. Let s = -15.4 + r. Let a be (-1 - 0)\/(-2 - -1). What is the nearest to a in -3\/4, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 5, f: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22631 in -2, 1, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 1007198244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5)\/(l*l\/((((l\/((l**(-3\/7)\/l)\/l))\/l*l)\/l)\/l)))\/((((((l*l**(-5))\/l)\/l*l)\/l)\/l)\/(l*l**5)) assuming l is positive.\nAnswer: l**(442\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 + 3 + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0071184369 rounded to five dps?\nAnswer: -0.00712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 101*s - 308. Let f be c(3). Let x(n) = 4*n + 10*n**2 + n + 0 + 15. Let r be x(f). Round r to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2. Suppose 3*t + 4*s - 16 = 0, 0*t - 2 = -t + 2*s. Let p(g) = t*g - 4*g - 2*g + 5*g. What is y(p(z))?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84050615 - 84050618 - 6*v**2 + 168101233.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -17.9. Let f = -0.03 - -0.23. Let n = -1 + 1. What is the nearest to 1\/4 in v, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6090)\/98)\/29*1\/(-3)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109502 to the power of 1\/2, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**4 - 4*t**3 + 4*t**3 + (155*t + 39*t + 3*t)*(t**3 + 0 + 0) to u + q*t + l*t**4 + n*t**3 + w*t**2 and give l.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-63)\/(-21) - (-6571 - -1). Calculate the highest common factor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a tonne in kilograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (34\/561)\/((-5)\/5*2\/6)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 1:00 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - -244606?\nAnswer: 244554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -2*u + 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/((777\/(-63))\/(-37)). Solve 0*z + 16 = k*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69 + -2bb5?\nAnswer: -2b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -17983903?\nAnswer: -17983895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.098 + 1.738. Let m = u - 2.1. What is m rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23*32\/4048*-1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-428*o**2 + 1160*o**2 + 998*o**2 + 2*o - o**2 - 2*o + (2*o**2 + o**2 - 2*o**2)*(-3 + 3 - 2))*(5*o + 2*o**2 - 6*o + 3*o**2).\nAnswer: 8635*o**4 - 1727*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 3 = d + 3*t, -2*d = 2*t + 6. Suppose -d*o + 0*o + 92 = 0. What is the least common multiple of o and 22?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1033?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**4*c*c**1)\/((c*(c\/(c\/(c**0\/c*c)*c))\/c)\/(c\/((c**(-2)\/c)\/c*c))))\/(c**(3\/5)\/((c\/((c\/(c**(-10\/3)*c))\/c))\/c))**(-4) assuming c is positive.\nAnswer: c**(236\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 18 = -2*m. Let r = 2 - -1. Solve 0*z - m*n = 5*z + 3, -3*z = -r*n - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5882, -5856, -5832, -5810, -5790?\n\"Answer: -a**2 + 29*a - 5910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 - 13*x**4 - 169*x**3 + 2197*x**2.\nAnswer: x**2*(x - 13)**2*(x + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 8. Suppose 30 = -x*v + 10. Let t = -0.46 - -0.43. Which is the second smallest value? (a) 2\/5 (b) v (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121\/2 < -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 - -157. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 213849846*q - 314803775?\nAnswer: 213849846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 419 + 13. Calculate the lowest common multiple of 90 and m.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 21*f**2 + 16. Let k(x) = x + 9. Let a be k(-6). Calculate the remainder when (a + -4)\/((-1)\/125) is divided by r(-21).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y - 5187 + 5011 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428980769 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -507, -508, -509, -510?\n\"Answer: -p - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 195579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 10*m**2 + 22*m - 258. What is the lowest common multiple of 138 and u(8)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 2:06 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 24 = 12*w. Let z be (-274)\/(-2)*(w - -4)\/2. Let v = z - -12. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**3 - 63*q**2 + 4107*q + 86247 = 0.\nAnswer: -37, -21, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(150)\/sqrt(3))\/sqrt(10)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219 - -219.2. Sort -95, 0, v in decreasing order.\nAnswer: v, 0, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8\/11 + 46\/33. Which is smaller: -16 or l?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000057647 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5579 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2698, -4729, -6758, -8785, -10810?\nAnswer: -12833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.5 at most 2\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 894?\nAnswer: 6258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - t. Let y(g) = -5*g**2 - 9*g. Let x(c) = -5*c**2 - 8*c. Let l(v) = -6*x(v) + 5*y(v). Let i(z) = l(z) + 2*q(z). Factor i(u).\nAnswer: u*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -1.10176515?\nAnswer: 4.10176515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 2*b**3 + 3 - 4106*b - b**2 + 4104*b. Let w(p) = 4*p**3 - 4*p**2 - 4*p + 7. What is -7*f(m) + 3*w(m)?\nAnswer: -2*m**3 + 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 + -87. Calculate the remainder when 41 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5360 and -2520.\nAnswer: 13507200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*b - 8*z + 28 = -38*b, -3*b + 2*z - 12 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t - 1. Let h = -29 - -229. Let w = 202 - h. Determine b(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, q: 10, i: 2, x: 2, l: 1}. What is prob of picking 1 s, 1 x, and 1 l?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvv. Give prob of sequence vvm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2514103 and 1.\nAnswer: 2514104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 158846.898231.\nAnswer: 158847.898231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27810.875 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.377 + 0.073. Let u = l - -0.181. Let j = 0.123071 + u. What is j rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(550) - sqrt(550)*-3)\/sqrt(10))\/(sqrt(5) - (sqrt(405) + 1*sqrt(405))) - ((sqrt(1331) + -2 - (sqrt(11) + 4*1*sqrt(11) - sqrt(11))) + 4))**2.\nAnswer: 492*sqrt(11)\/17 + 167575\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-12)*(3 - 5). Suppose -3*q - 15 = 3*w, 2*q - 1 = -w - 9. Which is the nearest to 0.3? (a) x (b) w (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3623715 is divided by 9150.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j + 75. Let p(g) = -g**3 + 3*g**2 + g - 1. Let b be p(3). Let n(y) = 2*y + 2. Calculate the remainder when j is divided by n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 5, 0.2, 2\/15, -1, 0.4, -1214?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmg when three letters picked without replacement from {b: 4, m: 1, e: 3, h: 4, g: 1, k: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.554272335 - -1132.445657765. Let h = x + -1157. Round h to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 4, 2\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 309469123*b**6 - 7*b**2 - 19660753.\nAnswer: 37136294760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(26)*-5)\/sqrt(2).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 5.962. Let y = -0.0380027 - v. Round y to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 5*r + 1, 0 = 5*b - 5*r + 93 - 108. Factor 0 + 1\/5*q**b + 2\/5*q - 2\/5*q**3 - 1\/5*q**4.\nAnswer: -q*(q - 1)*(q + 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c. Let q(j) = 3*j - 77. Let b(s) = 5*s - 116. Suppose 10*y + 51 = -29. Let f(v) = y*q(v) + 5*b(v). Calculate w(f(m)).\nAnswer: 2*m + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 4) + (-1 - 36)*-17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - 11 + 25*o**2 + 11 to s*o + t + v*o**2 and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, x: 2, v: 2, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-22) - (468592\/506)\/2. Let c = -464 - p. Let i = c + 289\/46. Calculate the common denominator of 65\/21 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 450298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2052.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15611 + 15611 + 24972*c to w + t*c and give t.\nAnswer: 24972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 - 2 + (-1 + 3 + 0)*(-5 + 5 - 2) + 4 + 0 - 3 + 4 + 0 - 3)*(8 - 8 - 4*m).\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i + 2*i + 3 - 2 - 2*i with respect to i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285984048.\nAnswer: 2, 3, 7, 19, 44797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53005 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 13*o - 16*o = -86, 51*y + 56*y - 3*o - 447 = o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -139081\nAnswer: 556324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 + 2022*m\/5 - 4036\/5.\nAnswer: -2*(m - 1009)*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 19. Let r be q(-9). List the prime factors of (r\/(-3))\/((-1)\/15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + (-11 - -1 - -28) - -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 57 (c) 14 (d) -5.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*p - 10. Let k be ((-72)\/(-126))\/(p\/7). Let s(i) = 0 + k + 6*i - 8 - i**2. Calculate s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 10 - 4. Calculate the highest common divisor of 10 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(77) + sqrt(77) - sqrt(77)))\/(sqrt(35)\/(sqrt(20)\/sqrt(4))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12.59*208348\nAnswer: -2623101.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/2893 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*i + 3*j - 78, -3*j - 96 = 3*i. Let h = i + 34. Let x(y) = 13*y**2 + 7*y + 1. Is x(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l**2 - 34*l + 37. Let s(m) = 13*m**2 - 50*m + 56. Let q(f) = -7*r(f) + 5*s(f). Let p be q(2). What is the highest common divisor of 15 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2 + 270922*t - 2167312 = 0. Calculate t.\nAnswer: 8, 270914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0.0262254?\nAnswer: 8.0262254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 941630 and 3629?\nAnswer: 17890970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 161145797 to the power of 1\/3, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13 and -2.05?\nAnswer: 15.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238 is divided by 1016?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/3 - 124*m\/3 = 0. What is m?\nAnswer: -62, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2340 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-1110)\/20)\/37?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 17 - 4 = 0. Solve 0*b + 2*p = -i*b + 11, -19 = -3*b + 2*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22210202202 (base 3) to base 6\nAnswer: 3414245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, -2, -1 in descending order.\nAnswer: 4, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 475198.51604 less than -0.25?\nAnswer: -475198.76604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.2 + 15.2. Let p(j) = -j**2 + 3*j + 1. Let b be p(3). What is the biggest value in b, x, 1\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 23*x**2 + 26*x + 99. Determine j(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 106*o**2 - 9*o + 9. What is the remainder when w(1) is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/9 - 106*y\/9 - 104\/9.\nAnswer: -2*(y + 1)*(y + 52)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 2. Let q be n(-3). Suppose -q*v + 47 = -101. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5843246 is divided by 1325?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f = 0. Suppose -u + 16 + 6 = f. Calculate the lowest common multiple of u and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhy when three letters picked without replacement from {y: 2, h: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 7*o**2 - 3*o - 17. Let c be z(-7). Calculate the greatest common factor of c and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -970 - -9c?\nAnswer: -8a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.83 - 7.3. Let p = r + 0.07. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 39626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 5*i**2 - 7*i - 2. Let r = -655 + 649. Determine k(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -205835, -205836, -205837, -205838?\n\"Answer: -z - 205834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 3540*c**3 - 54225*c**2.\nAnswer: 5*c**2*(c - 723)*(c + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 26774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 2*d - 3. Let p(h) = 1. Let t(f) = a(f) + p(f). Let c be t(-2). Which is greater: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (47 + 25 - 7)*(-12*y + 11*y + 7*y) in the form a + x*y and give x.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124359 = 2521*o + 1813*o + 417680 - 4623 for o.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105010656 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*k + 52 = 604 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 - -111. Let p = -38.000067 - h. What is p rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*c - 4, -3*p + 6 = c - 0*p. Suppose -2*g - 3*b - c = -4, -3*g = -2*b - 21. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1087\/1635 + -1\/545. Put -0.038, 3, 4, u in ascending order.\nAnswer: u, -0.038, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**5 + 4*f**5 - 2*f**5)*((-19 - 17 + 47)*(-2 + 0 + 0) + 0 + 3 + 0).\nAnswer: 19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = -26*f + 3*f - 70 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246657 (base 10) to base 11.\nAnswer: -159354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18605552 to the nearest integer?\nAnswer: 4313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*b + 172*b + 307060 = 4467860. What are the prime factors of b?\nAnswer: 2, 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 10:58 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 414135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41841 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.3 (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 3*i - 5*i + 3*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/7 - 754888290*b\/7 + 47488027531593675\/7.\nAnswer: 3*(b - 125814715)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m - 3*f + 13, 0 = -2*m + 2*f - 2. Suppose 1 + m = x. Suppose 3*c = -5*l - 6, 2*l - 10 = 3*l + 5*c. Solve s - x - 1 = l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 171\/(-2)*4\/(-10). Let r = i + -34. Let d = 2.1 - 2. Is d less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-63)\/28)\/(3\/(-8)). Let g(w) = -w**3 + 5*w**2 + 6*w + 5. Let k be g(a). Solve -k*q + 3 = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2409724.\nAnswer: 2, 602431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 237628 and 13425982.\nAnswer: 26851964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 1.132.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**9\/189 - c**8\/420 + 2*c**7\/105 + c**6\/90 + 6*c**3 - 41. Let j(t) be the third derivative of a(t). What is b in j(b) = 0?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -301321 + -10?\nAnswer: -301331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 2*x**5\/15 - x**4\/3 + 13*x**3\/6 + 497*x**2. Suppose 7*h + 66 = 2*h - 2*u, 2*h = 4*u - 12. Is i(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39723, -39223, -38727, -38235, -37747, -37263, -36783?\nAnswer: -36307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2711 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, j: 5}. Give prob of sequence jjj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -0.6 (c) -2 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56363, -112701, -169013, -225299, -281559, -337793, -394001?\nAnswer: -450183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/11, 2\/13, -0.3818 in increasing order.\nAnswer: -8\/11, -0.3818, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*o + 85 = 54, -4*o = 2*i - 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-12))\/(1\/9). What is the second derivative of -2*f - 8*f**2 - 4*f**x + 7*f**2 + f**2 wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 45*l + 70.\nAnswer: 5*(l + 2)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 773*z**3 + 771*z**3 - 445*z**3 + 636*z**3.\nAnswer: 1735*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -96936839*i - 48485822?\nAnswer: -96936839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2391639 and 4866?\nAnswer: 2433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1563228*l**3 + 781909*l**3 + 783348*l**3.\nAnswer: 2029*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*-5\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3574*k = 3578*k + v + 16, 2*v + 20 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*n = -0 - 3, 8 = a - 3*n. Suppose 0 = a*m - 3 + 8. What is the tens digit of (-4 + 7)\/(m\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-91)\/(-312) - (-1)\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 40?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 4. Let i(a) = 10*a + 13. Suppose 28 = 5*m - 7. Suppose m*c = 4*c + 21. Let n(l) = c*b(l) + 2*i(l). What is n(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 14060 = h. Suppose 7*z + 867 + h = 0. Let i = z - -932. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppphphhh. What is prob of picking 1 h and 1 p?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16024787711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133473, 133252, 132651, 131478, 129541, 126648?\nAnswer: 122607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-6*1*sqrt(833) + (sqrt(833) + 4*(sqrt(833) + 1 + sqrt(833)) - sqrt(833)) + (1 + sqrt(833)*2)*2)**2)*6.\nAnswer: 3024*sqrt(17) + 180126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 40*n**5 - 4350*n**4 + 10325*n**3 + 142550*n**2 - 110415*n + 18550 = 0.\nAnswer: -5, 1\/4, 1\/2, 7, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v\/v**(-39))*v)**21\/(v*v**(1\/49)*v*v\/v**(2\/11)) assuming v is positive.\nAnswer: v**(-431652\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 10*k - 13. Let q be v(6). What is the second derivative of c**5 + q*c - c - 2*c wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -508\/9, 7, -2\/5, -4, 5\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 44*w**2 - 188*w\/3 + 64\/3.\nAnswer: (w + 16)*(3*w - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21055408 by 4.\nAnswer: -5263852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 21*c**2 - c - 2. What is the hundreds digit of t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -2\/29 (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u - 7*u - 133*u**3 + u**2 - 9*u + 25*u in the form t + c*u**3 + p*u + m*u**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34370366 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3864)\/7728)\/(1\/22)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 5 (c) -7 (d) 5\/1045997\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1886 by -19.\nAnswer: -1886\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -n + 7, n = 3*b + 3 + 7. Let c be (-30)\/(-24) - (-3 - n). Suppose o = 3*l - 15, 0 = 2*l + 5*o - 32 + 5. Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, a: 2, y: 4}. Give prob of sequence yyj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-2\/15)*y)*y*y)**(-24)\/(y\/y**(-8)*y**(-2\/21)) assuming y is positive.\nAnswer: y**(-8831\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/32*(9 - -1). Solve -l*d = -m - 5, 0 = -5*m + d - 1 - 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in 2\/71, 0.1, -25, -1\/3, 4\/7, 0.3?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 857 = 10*a - k, -2*a = 4*k - 854. What is the smallest common multiple of a and 11?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -13c86e8?\nAnswer: 13c86ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.08. Let l = p + -2.92. Which is the smallest value? (a) -2\/9 (b) l (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + -1586?\nAnswer: -1563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 take away 1660?\nAnswer: -1659.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 745430*l**3 + 793*l - 364.\nAnswer: 4472580*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3237191 - 1826*s**2 - s + 624*s**2 - 3237193)*(6 - 3 - 9*s - 1) to the form w*s**2 + g*s**3 + z*s + a and give g.\nAnswer: 10818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 0*m + 0*m**4 + 21 - 1\/130*m**5 + 19\/3*m**3 - 7\/2340*m**6 + 0*m**2. Let d(q) be the third derivative of s(q). Factor d(y).\nAnswer: -2*y*(7*y + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -61b?\nAnswer: -61a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3074.533 + -0.4.\nAnswer: -3074.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -28 + -1 - (1 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2420514007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 134 times 0.03\nAnswer: 4.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 + 2*w + w - 4*w + 6 to n + o*w and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1040, 20, 30, -6 in increasing order.\nAnswer: -6, 2, 4, 20, 30, 1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 49*o - 144. What is f(46)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 486*k**2 + 6*k - 2 wrt k.\nAnswer: 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*y = -109*y + 45. Solve o = -4*g - 12, -9*o = -3*g - y*o - 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millimeter in micrometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from vnvjunzzzdjjzzznnzj?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3783120, 3783121, 3783122, 3783123, 3783124, 3783125?\nAnswer: 3783126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*h + 5*y, 2*h - h + 5*y = 5. Suppose 2*z = 3*j + 52809 + 26976, h = -z + 3*j + 39885. Round z to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r - o + 36, 5*r - o = 45. Let d be -1*-3*(-1)\/r. What is the nearest to 1\/2 in -1, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + 1. Let c be y(-2). Suppose -o - 8 = -c*o. Suppose 2*w + o*p = -p + 13, -3*p = -9. Solve -w*g - 2*s - 6 = g, g + s = -3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-3 + sqrt(2057))*-4 - (sqrt(2057) - (sqrt(2057) + 3*sqrt(2057)))*-4))**2.\nAnswer: -4224*sqrt(17) + 526736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) 4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 505.3476 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 + -57. Solve z + 4*z = m*s + 26, -5*z + 18 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 10. What are the prime factors of (96\/36)\/((-2)\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 45.95 and 0.2?\nAnswer: 45.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert d8 (base 16) to base 5.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.3 + -2. Let s = -1.3993585 + 0.0993525. Let l = n + s. What is l rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 35 = 2*w. Let c = -35 + w. Let i be 4 + (-1 - (0 - -1)). Solve c = -6*q + i*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 5*n - 50, -5169*c + 5164*c + 2*n = 54 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26333213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.199 * -11\nAnswer: -2.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 32 = -35. Sort y, 4, -5 in ascending order.\nAnswer: -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/12*(-117)\/(-30). Let d = -15\/4 + r. Which is greater: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 13. Suppose 2*w - 4*h + 38 = x, -20 - 15 = 2*w - 3*h. Let r = w - -40. Is 27 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 110*h + 1. Give u(38).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.3, 482021, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7455 divided by 59\nAnswer: -7455\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -44. Suppose 5*n = 3*z + 1, c*z + 2*n = 3*z - 5. Suppose -2*p + z = -p. Solve 5*f + b = -p, -3*f - 2*f = 4*b - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from {z: 5, t: 3, h: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 10*d - 23. Let l = -56 + 66. Let y be x(l). Calculate the greatest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -4, 3, -40?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -1\/2*o**2 + 0*o + 1\/9*o**3 - 2. Determine c, given that t(c) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)\/((sqrt(11) - (sqrt(11) - 3*sqrt(11)))*3))\/((sqrt(225)*-3)\/sqrt(5)))**2.\nAnswer: 11\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -62715960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -13.94. Let z = -329\/675 - -11\/27. What is the second smallest value in 2\/11, a, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 3*t**2 - 2*t + 5. Let q be v(5). Calculate the highest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.18 + -0.18. Let w = -163 - -159. What is the third biggest value in w, -3, v, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.236 + 1.274. Let w = p - -0.19. What is w rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3)\/r*r)\/r*r*(r*r*r**5)\/r*r*((r\/r**(-1\/2))\/r)**(10\/9))\/(r**(-1)*r\/(r**(2\/15)\/r)*r**(-7)*r*r\/(r\/(r**(3\/4)\/r))) assuming r is positive.\nAnswer: r**(2209\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.05, -0.06, -1\/6, -1\/12?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6053396 divided by 99236.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - 3*o**2 - 10*o. Let t(k) = 6*k**2 - 11*k**2 + k**2 + k**2 - k + 2*k**2. What is -d(l) + 4*t(l)?\nAnswer: 2*l**3 - l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -873 - -878. Suppose 15*h = 14*h - 4*k - 7, d*k = 4*h - 14. Solve -5*c - h = -6*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 4933?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47332668?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 - 19*w)*(6*w**4 - 4*w**4 + 0*w**4) - w**5 + 7*w**5 + 5*w**5.\nAnswer: -27*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from {h: 2, y: 2, u: 7}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*575\/(-425) - -36.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -38?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 193\/4. Let y be ((-8)\/((-64)\/6))\/(18\/(-12)). Let l = -14 + 12. Which is the biggest value? (a) y (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2393426, 4786848, 7180268, 9573686, 11967102, 14360516, 16753928?\n\"Answer: -w**2 + 2393425*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1047*j**2 + 152 - 430 + 141 + 137.\nAnswer: 1047*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2743 + 2742.999999862. What is q rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1522330 - 1522329.009787. Let j = m + -0.99. Round j to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.1 and 2?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12103206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5805 - -5805. Factor -1\/2*h**4 + r*h - 2*h**2 + 0 + 2*h**3.\nAnswer: -h**2*(h - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**2 - 4*h + 1. Let c(y) = -5*y**2 - 5*y. Calculate -2*c(u) + 3*r(u).\nAnswer: -8*u**2 - 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(1\/41)*n**29\/n*n*n**41*n*(n\/(n**(-45)\/n))\/n assuming n is positive.\nAnswer: n**(4880\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 4. Let z be u(0). Let y be z\/(-6) + (-8)\/6. Let o = -2\/15 + -7\/60. Put y, o, 4\/5 in descending order.\nAnswer: 4\/5, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9302 - 9301. What is the biggest value in r, 2\/13, -129?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129399037 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11*(-234)\/(-429) + -10*(-353 - 0) is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137967 + b - 137967.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + 81 + -9 + 3 + -3 + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -571, -982, -1539, -2290, -3283?\nAnswer: -4566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 665 = 10*d. Let z = d - -384. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x - 4. Let m be z(3). Let r(l) = -l**3 + 11*l**2 + 8. Let f be r(m). Solve v - f = g, -3*v + 2*g = -6 - 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1))**(19\/5))**(-1\/14) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - c**2 - 3*c - 1. Let a be o(-2). Suppose 4*l = -5*d, 5*d = -5*l + d. Suppose 20 + l = 4*y. Solve -2*m = -5*n + 21, 2*m = y*m + a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*c*k*m - 3*c*k + 2*c*m - 2*k - 34*m wrt k?\nAnswer: -7*c*m - 3*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyvyyvvyyvyyyyyyyy. Give prob of picking 3 y.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.13626 + -194.51137. Let s = -190.7741 - k. Let w = s - -13.4. What is w rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 272 + -262 - -3 - -33?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-9))\/((-87)\/(-783))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Suppose c*r = -4*y + 121, y + 109 = 3*r + 2*y. Suppose -w = 4*w - r. Calculate the remainder when 12 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/26 + 1 - (-399)\/12103.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -1\/3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1709544 and 1495851.\nAnswer: 11966808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44733 - 12?\nAnswer: 44721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 579631?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603293.9 millilitres to litres.\nAnswer: 603.2939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34202588.\nAnswer: 2, 7, 97, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-1)*j*j)**(-2\/65))**(-4\/7))**(-15\/8))**48 assuming j is positive.\nAnswer: j**(-144\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxx. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c = 28*c + 6. Solve -2*r = c*d + 13, 2*d - 3*r + 2*r + 11 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-20) - (180\/150)\/(2\/5)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -45*u - 33 - 229 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by 1?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 201 + 150 = 0. Let m = -19 - -23. Solve -4*f + 5*n + i + 1 = 0, -4*f - m*n = -4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.42 + -47.42. Let n = x + 46.9. Let v = -0.06 + -2.94. What is the nearest to n in 0.3, v, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10\/13 (b) -1 (c) -5\/6 (d) 5 (e) -0.4 (f) 3118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -1152149055679?\nAnswer: 1152149055683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3))**(1\/66)\/((k*k\/k**(3\/5)*k)\/k)**30 assuming k is positive.\nAnswer: k**(-8315\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-5*26\/65?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-3) - 2\/6. Let a = -0.08 + -2.92. What is the nearest to -1\/4 in 2, u, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45670 (base 8) in base 16?\nAnswer: -4bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -18*o + 139. Do -3\/8 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -40. Calculate the remainder when v is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 66, -3 in decreasing order.\nAnswer: 66, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 5*z**3\/6 - 45*z**2\/2 - 4*z. Let b be v(9). Solve 20 = -4*a, s + 4*a + b + 18 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 2*g - 1. Let r be q(2). Let n(f) = -2*f**3 - f**2 - 3*f - 2. Let a be n(r). Suppose 2*z - 5*x - 2646 = -z, 2*z = -a*x + 1748. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/8)\/(v**(-10)\/v))**(12\/11) assuming v is positive.\nAnswer: v**(273\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 100 + 42 + 42 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2806 = -275*c + 3244 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*75\/75*2\/2)\/(-21)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**3 - 2*p**2 - 1. Suppose -2*j + 6 = j. Let t be 4\/12 - j\/(-3). Let o(a) = a**3 + a**2. What is t*b(f) + 2*o(f)?\nAnswer: -2*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 9 - 5) + 5085\/99*(-17)\/(-85).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*q**3 - 20670*q**2 + 4*q + 9*q**3 - 31*q**3 - 4*q.\nAnswer: -4*q**3 - 20670*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 743.6501605 from 0.223.\nAnswer: -743.4271605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -355 - -355.3. Let h(x) = -x + 5. Let v be h(5). Suppose v = -5*w - 20. Which is the nearest to 0.1? (a) 2\/7 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:30 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*c + 3*c. Suppose -4*x = -5*x - c. Let r(k) = -k**3 - 2*k**2 + 2. Calculate the remainder when 19 is divided by r(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 25175.472.\nAnswer: -25187.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 9968*j - 3518530.\nAnswer: 2*(j - 331)*(j + 5315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14682?\nAnswer: 2, 3, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/40)\/(21\/30)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14688712809*x**2\/4 + 121197*x\/2 + 1\/4.\nAnswer: (121197*x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*x - 2*x. Suppose -180*t = -96*t + 189*t - 5733. Suppose -3*u + u + k + 9 = 0, 2*u + x*k - t = 0. Solve 5*g - u = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -16172, -1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -67*h**6\/120 - 25*h**3\/6 - 88*h**2. Find the first derivative of z(s) wrt s.\nAnswer: -201*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 115560 (b) 0.3 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22702690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1295 is divided by 431.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from jlwhhcwqc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*v - 23*i + 20*i, 17*v - 4*i = 82 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182645053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4100124034 (base 5) to base 11.\nAnswer: -46a6896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1850, -1302, -388, 892, 2538?\nAnswer: 4550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/14 and 3\/46205576?\nAnswer: 323439032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/114872425 and -31\/10.\nAnswer: 229744850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 13*g**2 - 2*g + 30. Let i be f(13). Suppose 31 = o + i*o + 3*k, 4*o - k = 18. Solve 4*b = 5*u, 2*u - 33 = -o*b - 0*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**4 - 20335*f**3 - 447042*f**2 - 3169188*f - 7312680 = 0.\nAnswer: -20313, -10, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1046552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120342 + 1341?\nAnswer: -114001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13694.\nAnswer: 2, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -2 + sqrt(15)\/sqrt(12))**2.\nAnswer: -22*sqrt(5) + 621\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(4 - (-51)\/(-12)). What is the second smallest value in u, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2299470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 266055436 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - j - 2019 = -2*o, 0 = 4*o - j - 4043. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 370\/(-130) - (-5 + 2). What is the third smallest value in 45, f, -5?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/640 and 65\/1408.\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-3)\/(-8) - 102\/(-8). Suppose 3 = -11*d + w*d. Suppose 4*a = d*a + 37. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63822*k - 277*k**3 - 63822*k.\nAnswer: -277*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94 and 442392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - q + 19. Let m be y(20). Let d = m - 552. Let k = d - 90. What are the prime factors of k?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6766*v + 18462. Calculate h(-3).\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 400 + -392. Suppose -9*s + 14*s + 465 = 5*q, 0 = -2*s + l. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 142?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (9\/3)\/(-3) - (-462)\/(-72) and (-3)\/6 - 56\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7\/5 (b) -17 (c) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 97 - 1. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3.1. Let j = t + 0.1. Let v = j + -0.3. Put -0.2, 4, v in descending order.\nAnswer: 4, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 436482317.9999954 + -436482277. Let i = 41 - m. Round i to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73, 80, 111, 178, 293?\n\"Answer: 2*l**3 - 7*l + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -11\/4, 0.01, -122?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2\/5)\/x)\/x**(-2\/17))\/(x*x\/x**(-1\/4))**(-10))**(2\/27))**(-3\/5) assuming x is positive.\nAnswer: x**(-3607\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1797, -1352, -905, -456, -5?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -47*c**6\/40 + c**4 + 31*c**2. What is the second derivative of g(t) wrt t?\nAnswer: -846*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/h)**6 assuming h is positive.\nAnswer: h**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.7 - 7.6645. Let l = g - -3.5345. Let w = l - 0.57. Put -3, w, -4\/23 in increasing order.\nAnswer: -3, -4\/23, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -601380?\nAnswer: -1\/200460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -45 + (-4 - 0\/1). Let c = 51 + p. Solve 3*y = -3*i + 3, -c*i = 2*y - i - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -170 + 2*a - 13*a - 178 + 350. What is j(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -7*o + 4*o. What is the greatest common factor of o and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -5, 2, -5\/3 in descending order.\nAnswer: 2, -1\/5, -5\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1519 divide 24893129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1087986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 212.\nAnswer: -3\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 - 324 = -124*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - (sqrt(624) - (sqrt(624) - sqrt(624)*2)))\/(sqrt(21)\/(1*sqrt(7))) - (sqrt(13) - (sqrt(13) - sqrt(117)*-6)**2 - ((sqrt(13) + -2)*-5)**2).\nAnswer: -108*sqrt(13) + 5118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 4:43 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2\/25 (c) 3913\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 + 1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 84259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4235 is divided by 182?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230589 + -1834565\/8. Let i = y - 1272. Calculate the common denominator of (1044\/80)\/(9\/6 + 0) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20716713 is divided by 202?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146840639 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 902012183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -3*1\/3. Let w = 4 - 1. Let a be ((-8)\/w)\/(-1) + -2. Which is greater: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -6 + 196. Suppose 4*w - 20 = -s, 0 = -w + 4*w + 5*s - 15. Suppose -2*u + 4*h + 6 = 0, 0*h + w*h - g = -4*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 1. Let w(n) = 2*n**2 - 7*n + 5. Let p(q) = -19*q + 132. Let c be p(7). What is c*w(a) - 6*g(a)?\nAnswer: -2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/5)\/6*7\/(98\/7)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*l = -77570, -3*v = 1059*l - 1055*l - 46546. What are the prime factors of v?\nAnswer: 2, 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1763 and 15375?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -77c0 (base 15) in base 13?\nAnswer: -b724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/5)*b\/b**(-5\/3)*b*(b**2)**28*(b\/(b\/(b**(-2)\/b)))**9\/(b**(-3)*b*b**(-8)\/b) assuming b is positive.\nAnswer: b**(646\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 7*b = -15. Suppose 0 = 5*t + 4*k + 210, 0*t + 4*k = -b*t - 118. Let i = t + 60. Solve 3*g - 15 = 3*w, 3*g + w - 3*w - i = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -439656 divided by -5234\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30, -93, -156, -219, -282?\n\"Answer: -63*j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120337*h**2 + 90126*h**2 - 567806*h**2 - 664612*h**2.\nAnswer: -1021955*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8301582.\nAnswer: 2, 3, 153733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-45))\/(3*(-16)\/(-72))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1110)\/75 - -16)\/(6\/20). Sort 0.1, 2, u, 3, -20 in decreasing order.\nAnswer: u, 3, 2, 0.1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -20*k**2 - 4*k + 4. Let n be z(1). Let a(x) = -29*x + 53. Is a(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - c - 2*c - 7*i = -8*i - 28, -3*c + 25*i + 212 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + sqrt(240)*2)\/sqrt(5))**2 + -3 + -2*sqrt(48).\nAnswer: -8*sqrt(3) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, g: 1, s: 1, f: 2, a: 1, v: 2}. Give prob of sequence vfkf.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 4*a**5\/3 + 3*a**4\/8 - 11*a**3\/6 + 141*a**2. Is 46 a factor of r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -32*m + 1. Let h be w(-1). Suppose 3*c - 3*j = -0*j + h, -5*j + 85 = 5*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -278, -215, 2 in increasing order.\nAnswer: -278, -215, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 11. Suppose 2*u + 27 = 5*c - u, 0 = c - 4*u - 2. What is the units digit of d(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-6*((-256)\/84 - -3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3*15\/280*(-7)\/2 and 17\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 212175171.4 + 14014477.6. Let m = z - 226189663.0000001. Let i = m + 14. What is i rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*t - t - 4*i, t - 43 = 4*i. Let o = t + -20. Let k(h) = -h - 4. Let v be k(-9). Solve -o*x - 6 = -0*p - 4*p, -x + v = p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/14)\/(12\/168*-4). Let i = 0.6 + -2.6. Let q = -34.5 - -34. What is the fourth biggest value in 0.3, i, q, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (614 + 0)\/(2 - 0). Let w = g - 188. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12256507 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*s**3 + 6*s - 160 wrt s?\nAnswer: 12*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 20.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 289218 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19683607 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jllj when four letters picked without replacement from {f: 7, j: 7, l: 4}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122707039?\nAnswer: 7, 13, 113, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/6 - (-3)\/9. Suppose -5*w - a + 8 = -w, -5*w + 4*a + 31 = 0. Let f = l + w. Which is greater: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 + 3\/((-9)\/6). Suppose -4*m = -a - 32. Calculate the remainder when 29 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 12*v - 25. Let t be y(-14). Suppose 0 = 2*i + t*i. Suppose i - 4\/7*j**2 + 2\/7*j**3 + 0*j + 6\/7*j**4 = 0. What is j?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**3 - 35560*s**2 - 121231104*s - 116317661184 = 0?\nAnswer: -13652, -2064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/4 - 9921*k\/4 + 2480 = 0. Calculate k.\nAnswer: 1, 9920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s + 90049 = 29569. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/(-68)*(-4)\/3. Let c(w) be the first derivative of 6 - 2*w + j*w**3 - 1\/2*w**2. Factor c(i).\nAnswer: (i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 965 * 250.08\nAnswer: 241327.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95.95 - 1.95. Let m = -94.3 + w. Put 0.3, m, 2, -0.4 in descending order.\nAnswer: 2, 0.3, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 3*t + 4. Let s be l(-4). Suppose 6 + s = -3*d. Let h(u) = -u - 2. Let c be h(d). Solve x = -c*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-12.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3697350704?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**5 - 275815*d**4 - 4414110*d**3 - 11589550*d**2 + 108142265*d + 473159925 = 0.\nAnswer: -7, 5, 55179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 3*f + 31 - 6, i - 4*f = 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*f - 32, y = 2*y + 2*f - 18. Suppose 6*o + 16 = y*o. Solve o = -2*m - 0*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*f + 3 = 0, -d + 2*d + 18 = -5*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = -0*a. Suppose 22 = 6*l - 104. Suppose -2*r + 3*b + l = 0, -3*b + 64 = 5*r + b. Calculate the least common multiple of a and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 5916.\nAnswer: 17748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o - 34. What is y(-14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98*a**6*g + 10681*a**4 + 3*a**2 - 2433*g - 72 wrt a.\nAnswer: -11760*a**3*g + 256344*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83097584?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.409 + 6.591. Let k = 111 - 553\/5. Sort k, i, 2\/25 in decreasing order.\nAnswer: i, k, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -67 (c) -128.2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5607 + -0.0607. Put 12, b, 0.4 in increasing order.\nAnswer: 0.4, b, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 323*z**4 + 8*z**3 - 2*z**2 - 15*z - 117 wrt z?\nAnswer: 7752*z + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(209) - ((sqrt(209) + -1*sqrt(209))*2 + sqrt(209)))\/(-3*-3*2*sqrt(11)).\nAnswer: -7*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-nine quarters of a microgram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 5*p**3 + 5*p**3 + (-p**2 + 4*p**2 - 4*p**2)*(2*p + 2*p**2 - 2*p) + 0*p**4 + 0*p**4 + 2*p**4.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*w**2 - 6844 + 58604*w**3 + 0*w**2 - 2*w**4 - 58616*w**3 with respect to w.\nAnswer: -8*w**3 - 36*w**2 + 34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and (-2 + 44)*(-2 + 49\/14)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)\/q)**(4\/33)*(q\/(q**(-1\/3)*q))**(-26) assuming q is positive.\nAnswer: q**(-289\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:27 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z**2 + 15. Calculate the lowest common multiple of u(0) and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - z - 3*z + 5 = 0, 0 = -b + z + 10. Let d(g) = g**2 - 7*g + 5. Let w be d(b). What is the biggest value in 0, w, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*u - 2*u + 50 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:19 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.259?\nAnswer: -1.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1745 - -2888. Is 1143 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/15*j + 0 - 2\/15*j**2.\nAnswer: -2*j*(j - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(0 - -1)*(-500)\/(-6). Let j = 534 + k. What is the highest common divisor of 6 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 6*h**2 + 2*h**2 + 0*h**2 - 5*h**2 + 23*h**2 to m*h**2 + s + u*h and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3bd8e + -5?\nAnswer: 3bd89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75463095?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1273 - 5.1273. What is the second smallest value in 3, t, 1\/2, -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 11*d - 28 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 7. Let z = -2 - r. Suppose -x + 2 - z = 0. Which is the third biggest value? (a) x (b) 2\/19 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 8:06 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 2 + 0*o + 3*o. Let f be x(-9). Suppose 0 = 5*w - 24 - f. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 = -20. What is the nearest to z in -3, -1\/5, -9\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -155254, -310509, -465764, -621019, -776274, -931529?\n\"Answer: -155255*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 321973670 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 16 + (7 - 3) - -5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/10)\/n*n**(-4)*n**(2\/7)\/n**8 assuming n is positive.\nAnswer: n**(-897\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 4. Let s be 3\/(-6)*(-1 - q). Suppose 3 - 4 = p - c, 5*p - 1 = s*c. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a**3 - 29*a**3 + 20*a**3 + 12*a**3.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1043*t**2 + 307*t?\nAnswer: -2086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3216 and 1656240?\nAnswer: 1656240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 427.9999944 + -428. What is n rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215443129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -8, 3, -3, -2 in increasing order.\nAnswer: -8, -3, -2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 54*i + 2517. Let k be l(81). Suppose -2*r + 3*x + 1140 = 0, 4*r - 2*r = 2*x + 1140. Let n = r - k. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**6\/420 + q**5\/105 + 11*q**2. Factor i(g).\nAnswer: 2*g**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d + 8. Suppose 0*k = -5*k + d. Suppose 0*n - 62 = -k*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-seven quarters of a microsecond?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, -0.06254, 6\/11?\nAnswer: -0.06254","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/18 + (-4 - (-136)\/36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -59, -88, -117?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/22 and -109\/484.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(108)\/(-2*sqrt(12)) + sqrt(9) - sqrt(9)) + -1.\nAnswer: -2*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1 (c) 1\/2 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 + -80. Sort -3, -2, y, -5.\nAnswer: -5, -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-60))\/(-3*(-1)\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-17)\/(v*v**(-14)*v))**(-44) assuming v is positive.\nAnswer: v**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100 (base 4) to base 10.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - 3*a**2 + 4*a**2 + (-1 - 1 + 4)*(2 + a**2 - 2) + 6*a**2 + 48*a**2 + 0*a**2.\nAnswer: 57*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (70232\/20)\/((-40)\/(-100)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 6*p + 4. Let d be l(-5). Let x = -2.53 - -2.6. Which is the closest to d? (a) x (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -2 + (288 - 305).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30603 is divided by 105?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(160)*5)\/(sqrt(8) - (sqrt(8) + (sqrt(24) - sqrt(96))\/sqrt(3))))\/(sqrt(90)\/(sqrt(9) + (sqrt(36) - sqrt(9))) + 6*sqrt(50)\/sqrt(5) + sqrt(10)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - sqrt(104)*1)*6)\/(sqrt(8)*1*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/((-37)\/((-555)\/(-6)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32829?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 18. Let v be s(6). Suppose v = -3*p + 16 + 2. Let g(m) = -21*m + 1 + p*m + 16*m. Let j(f) = -4*f - 5. What is -6*g(w) - j(w)?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 11:49 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 113 + 1)*(-4*s + s + 15*s).\nAnswer: -1188*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + g + 5, x = -3*g - 11. Suppose 2*h - x*h + 20 = 0. What is the highest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200109 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -402140 + 10?\nAnswer: -402130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 v when three letters picked without replacement from zzdzvjvjjzjvzdjzzzjj?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/363 - (-11296)\/11. What is the highest common factor of 79 and r?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91 + 91 + 28*o**2 in the form i*o**2 + n + v*o and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 645139087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 60 + 60.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2393*f - 3160 = -2551*f for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2 + (23 - 29 - (7 - -6) - -72).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and -0.005.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12183\/7 >= 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -18 + (-512)\/(-36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3030390442.\nAnswer: 2, 41, 107, 569, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75\/(-45) + -7 + (-101638)\/(-6)?\nAnswer: 16931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - 54. Suppose c*u = -5*u + 1218. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2704 and 1183?\nAnswer: 18928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 7*j - 1. Let i(u) = 6*u**2 - 20*u + 2. Let z(s) = 2*i(s) + 7*l(s). Calculate z(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 79 = -4. Let d be 0\/2 - c\/5. Let k = d - -8. Solve 1 = r + k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1. Let v(k) = k**2 + 8*k + 13. Let d(m) = -2*a(m) + v(m). Let t be d(-9). Solve -j + t = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -908*m + 6*m**2 + 456*m + 452*m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 6 = -19*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 2*c**2 + c**2 + (5*c - 2*c - c)*(88*c - c + 17*c).\nAnswer: 210*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 5. Solve i*l + 8 = 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11416746 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -387382a?\nAnswer: -3873835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72783779 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41511628 * -30.\nAnswer: -1245348840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -5, 5, -3, -4 in descending order.\nAnswer: 14, 5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 890 + -885. Suppose -w*s = -5*b - 50045, -16*s + 40032 = -12*s - 2*b. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1240\/(-408) + 6\/(-21) + (-240)\/(-105)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 9) + (6 - (-4 + 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3783780 divided by 33\nAnswer: 114660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/168 and 46\/7.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.468052 millilitres in litres?\nAnswer: 0.009468052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 - -18.5. Let y = 7.9 - o. Let r = 10 + y. What is r rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 2*k + 4. Let z(o) = 3*o + 3. Let v be z(-2). Let q be i(v). Let l be 5\/(3 - (1 + q)). Solve c + 24 - 5 = 3*s, -5*c - l = 3*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 7. Suppose k + 13 = 4*a - 8, v = -4*k + 3*a. Let s = 95 + -91. Sort k, 5, s in ascending order.\nAnswer: k, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 - 3. Let c(r) be the second derivative of 2*r**4 + 1387*r + 1. Give w(c(a)).\nAnswer: 1728*a**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -331160.\nAnswer: 1324640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -749.4284 and 3.\nAnswer: -746.4284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*r = 3*r + 353, -5*w + 880 = -2*r. Let g = 176 - w. Solve 0 = -2*i + g*o - 2, -4*i + 2*i + 5*o = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5\/2 - 81*u**4\/4 + 849*u**3\/4 + 306*u**2 - 825*u - 900 = 0. What is u?\nAnswer: -20, -2, -1, 2, 15\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 50. Let x(s) = 2*s. Determine v(x(h)).\nAnswer: 4*h - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 466 + 526 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97.88 + -0.88. Let g = -96.99999933 + l. Round g to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (123 - 124) + 98\/(-6) + 0.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*p + 96. Let v be 14\/21 + 28\/12 + -2291. Is (-2)\/6 + v\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/74 (b) -0.4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1790 and 358?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a + 4. Let z(p) be the second derivative of -17*p**3\/6 - 11*p**2\/2 + 2*p. Let w(u) = -2*u**2 - 81*u - 634. Let c be w(-30). Give c*z(k) - 11*f(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -709*a**3*i - 988*a**3 + i wrt i.\nAnswer: -709*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 - 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + w + 6. Let a be f(0). Let c be 1\/a - 1\/((-120)\/316). Let 8\/5 - 2*z**4 + 2\/5*z**5 + c*z**3 + 2\/5*z**2 - 16\/5*z = 0. What is z?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 10368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -36?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2910131.\nAnswer: 7, 439, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-116)\/(-8) - 4)*((-92)\/(-12) + -8).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -348*t - 44. Calculate the remainder when g(-3) is divided by 200.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235503611 to the power of 1\/2, to the nearest integer?\nAnswer: 15346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*1\/((-6)\/4). Let b = -1.022 + 0.022. What is the fourth smallest value in b, -2\/11, -5, k?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q + s + 1, q = -3*s + 6. Suppose 0*y - 4*y = q. Let j(a) = a**3 - 9*a**2 + 3*a - 24. Let z be j(9). Solve z*t - 5*t = y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 2*h = 684. Suppose -4*s - h = -7*s. What is the remainder when s is divided by 0*2\/4 - -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/11*1\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5)*u)**(10\/9)\/((u*u*u*u\/u**13*u*u)\/u**(-34)) assuming u is positive.\nAnswer: u**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 257849500 rounded to the nearest 1000000?\nAnswer: 258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-1) + (-5 - -44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -13*a - 328. Let y be t(-26). Solve -y*w = -7*w - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 + 0*o**2 + 6*o**2)*(-o - 3*o + 5*o)*(3 + 1 - 6) - 5 + 9*o**3 + 5 - 3*o**3 + 0*o**3 + 4*o**3 + (-2*o**3 + o**3 + 2*o**3)*(0 - 1 - 1).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18336510?\nAnswer: 2, 3, 5, 113, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(-6*v**2 - 21 + 21).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 4*h - 41 + 7, 3*h + 55 = -10*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 204132623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 6991.6353 to the nearest 100.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-10)\/(-8))\/((-7)\/(-8484)). Let p = q + 7323. Suppose 4*i + 2*g = 14178, -3*g - 1759 + p = 2*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**5 + 3*j**5 + j**5 + (143 - 12 + 68)*((0 + 1 + 0)*(-3 + 3 + 2) + 1 - 1 + 2)*(-3*j**5 + 2 - 2) + (-3 + 3 + 2)*(j**5 - 4*j**5 + j**5).\nAnswer: -2394*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95\/6 + 16. What is the second smallest value in -4\/3, q, -5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a9362 (base 11) to base 4.\nAnswer: 3010003100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.08 (b) -3 (c) -0.6417\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11277\/437 or 25?\nAnswer: 11277\/437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 15 = -4*p, p + 2*p = -4*k + 21. Let h = -4 + 6. Suppose -6 - h = -4*d. Put p, d, 1 in increasing order.\nAnswer: 1, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-495)\/1296 + (-280)\/(-630))*-204.\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 6*y - 23. Suppose 4*q + 4*b + 20840004 = 0, 4*q - b = -y*b - 20840002. Round q to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5936.89 and 0.2862.\nAnswer: -5936.6038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-7\/2)*r**(-2\/89) assuming r is positive.\nAnswer: r**(-449\/178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m - 2. Let q be f(6). Suppose -5*i = -2*k + 37, q + 7 = 4*k - i. Calculate the highest common factor of k and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67.6 + -39.8. Let w = q - 28.5. Are 1\/2 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, -6, -2\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 42*w**2 + 152*w. Let v be n(38). Solve v = -88*x + 84*x + 24 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -16*i**5\/3 + 17010*i**4 + 1366412*i**3\/3 + 3860210*i**2 + 31621304*i\/3 + 5188480 = 0.\nAnswer: -11, -4, -5\/8, 3216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281326, 562646, 843966, 1125286, 1406606?\nAnswer: 1687926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*k**2 - 2*k - 508 + 1024 - 2*k**4 + 3*k**4 - 517 in the form j*k + r*k**3 + i*k**4 + p*k**2 + t and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(5\/7)*m**(-3\/7)\/(m\/m**(-3\/7)))**(1\/15) assuming m is positive.\nAnswer: m**(-6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, p: 2, o: 6, f: 3, b: 2}. What is prob of picking 2 p and 1 f?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22121002120 (base 3) to base 14.\nAnswer: 45937","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 - 40*b**2 + 23*b - 119. Let p be l(-14). Put -1, -13, p, -4 in decreasing order.\nAnswer: -1, -4, -13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12020422 times -0.3\nAnswer: 3606126.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n**3 + n**2 - 5*n + 10. Let c be h(4). Let v = c - -1135. Let f = -477 + v. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 205 = 4*l. What is the remainder when l is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25421.584 times -0.4?\nAnswer: -10168.6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*i - 2*i. Let a be (-285)\/126 + 1 + 3. Let t = 1025\/42 - a. Calculate the common denominator of t and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/41287 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*x - 114*x - y - 4 = 0, 0 = -2*x - 4*y - 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2660259829 to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5935499570986 - 5935499570986 + 8*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let z(q) = q**3 + 5*q**2 + 3*q - 4. Let m be z(-4). Suppose 5*j - 6*j = -2. Let y(f) = f**j - 2*f**2 + m*f**2 - 3*f**2. Determine y(s(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 13. Let q be 1 + 10\/(3 + -1). Let b be l(q). What is the greatest common factor of b and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-133)\/(-49) - (-8)\/28. Solve -11*c = -d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-244)\/(-8))\/((-4)\/(-8) - 0). Suppose -53*r - 32 = -h*r. Let z = 0 - -15. Solve -r*n + 5 = -9*n + l, 2*n - z = -3*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-6 - (-18 + 25 + -2 + -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -2*y - y**2 - y + 0*y + 10*y - y**3. Determine u(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -29, -130, 0, 1, -1 in decreasing order.\nAnswer: 4, 1, 0, -1, -29, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/23, 27, -4, 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5887630 divided by -12215?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -244248119 divided by 31799\nAnswer: -7681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003024 to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*i + 2480, 4*n + 1754 = 5*i - 1346. Suppose 4*j - 4*b - 996 = 284, -3*b = 2*j - i. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 = 5. Let k = 8 - 5. Suppose -a*j + 10 = 0, 3*y - 43 = -k*j + j. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.2, 0, 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 422584 - 199164. Round j to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26400 divided by -800?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, e: 4, n: 2, a: 1}. Give prob of picking 1 n, 1 e, and 1 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-5))\/((-2)\/(-14)*1155\/(-75)).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*(k\/(k\/k**(-15)))\/k)\/k)\/k*k)\/k*k\/(k*k\/k**(-18)))\/((k\/(k*k**(-12\/5))*k)\/(k*k**(4\/5)*k)) assuming k is positive.\nAnswer: k**(-178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 159963 rounded to the nearest 100?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.36 - -2.209. Let o = t + -0.017. Round o to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*q = -32*q + 696 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, -6\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 - 6*h + 7. Let y(t) = 4*t + t**2 + t**2 - 3*t - 3*t**2 - 1. Determine -g(d) - 6*y(d).\nAnswer: 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 3\/8, -210\/13, 8, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1.38?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 332319715 to the power of 1\/4, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 78*w**3 + 1257*w**2 + 4518*w + 4347 = 0. What is w?\nAnswer: -23\/2, -3, -21\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/594*(-140 - -1) and 49\/51.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 138523 = -28857. Round w to the nearest 1000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3170 (base 11) to base 14\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -20002547260396 and 5.\nAnswer: -20002547260391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:50 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8230.358ng?\nAnswer: 8.230358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efq when three letters picked without replacement from {k: 1, f: 2, e: 5, w: 5, q: 2, g: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/18 and 41\/3850.\nAnswer: 34650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2071 - 2047. Solve w = 9*s - 5*s - p, 2*w - s + 13 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4*2\/(-3). Let p be 13\/13*1\/2. Let v = -14 + 10. Which is the third biggest value? (a) k (b) v (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229037?\nAnswer: 229037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 18 = 5*m + 66, 4*u - 5*m = 59. Calculate the greatest common factor of u and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -973824\nAnswer: 7\/486912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -134, -188, -224, -236, -218, -164?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4351 or 4061?\nAnswer: 4061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1116711, 1116710, 1116709?\nAnswer: 1116708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 10 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5\/2)\/u)\/u**(-17\/5)*(u*(u\/(u*u\/u**(1\/57)*u*u*u*u))\/u)\/u**(-26))**(-2\/33) assuming u is positive.\nAnswer: u**(-11923\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1 (c) -21 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 66302310?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -122.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*s + 14 = 0, 25*s - 10283 = -5*j - 10388 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 3*a = 32*a + 24*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 746*w + 337548 - 337548 in the form c + m*w and give m.\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -150\/17, 2.35, -0.3?\nAnswer: -150\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*u + 6. What is the remainder when 37 is divided by (-304)\/(-8)*(u\/6 + 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 26. Let y be ((-77)\/(-3) + c\/9)\/2. Suppose 0 = 14*r - y*r - 5. Sort -5, r, 9, 0.\nAnswer: -5, 0, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -35. Let u be 1\/(6 - k - 2). Does 5 divide u\/((0 + 5)\/95)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 12, -127122, 2 in decreasing order.\nAnswer: 12, 4, 2, -7, -127122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y - 8. Let a = 8 + y. Let n(p) = -5*p**3 - p**2 + a*p**3 + p - 5*p**2 - 2*p. What is n(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(6\/(-4)) - 5. Let w = -165 - -159. Let g = w - i. Solve v - 6 = 4*p, 0 = -5*v + 9 + g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)*(4 - 4). Let y be 0 + 4 + m + 1. Suppose 9 = 3*g + 3*l, g + 27 = 3*l + 46. Solve y*r - 2 = -g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1343364442 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -7. Let c = z - -8. Solve 6 = -3*u + 6*u + 3*j, 2*u + 3*j - 6 = c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*l = -19, -5*s = -6*l + 2*l + 30. Let q be 34\/6 - s\/6. Suppose -q*n + 65 = -n. Calculate the remainder when 24 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3953, 5, -5 in decreasing order.\nAnswer: 5, -5, -3953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799076 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2795984m?\nAnswer: 279598400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Suppose 4*r - 5*s + 25 = d, -r = 5*s - 4*s - 5. Let c(b) = r*b - 2*b + b. Let u(t) = 2*t**2. What is u(c(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(240)\/sqrt(4))\/sqrt(12))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (113 + 2)*((-135)\/(-3))\/15 is divided by 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*w**2 - 55*w**2 - 77*w**4 - 14 + 63*w**4 to the form l*w**2 + s*w**3 + i + p*w + v*w**4 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/14*(-4)\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 9, -5 in ascending order.\nAnswer: -5, 9, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qke when three letters picked without replacement from {k: 2, q: 3, y: 1, v: 6, e: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 4 + (39 - 11 + 1)*(-2 - 4 + 10))*(4*t - 6*t + 4*t) as h*t + w and give h.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 15802.3985 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/120 + l**3\/6 - 3*l**2 - 255. Let k(u) = u**2 - 1. Determine -2*k(n) - 3*r(n).\nAnswer: 3*n**3 - 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4072 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035027079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(408) - sqrt(408) - sqrt(408))*-5)\/(2*sqrt(800)))\/(((1*sqrt(216) + sqrt(216) - sqrt(216) - sqrt(216)) + sqrt(216))\/(1*sqrt(288))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjgk when four letters picked without replacement from {j: 3, k: 1, t: 3, n: 6, g: 3}?\nAnswer: 9\/14560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-36 + 45 - 9) + -29\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11031054 to the power of 1\/2, to the nearest integer?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 89. Let h = 6 + -6. Sort 5, h, t.\nAnswer: t, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 6, 522*g - 523*g + 6 = -4*z. Sort g, 4, 69, -4 in descending order.\nAnswer: 69, 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 9*x**2\/2 - 2*x - 52. Let k be (1 + (-27)\/(-6))*2. Is t(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.965 + 4.965. Which is the fourth smallest value? (a) 2 (b) 2\/9 (c) p (d) -18\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/23))**15*(d*(d\/(d*d**(-6\/5)))\/d)\/d**10 assuming d is positive.\nAnswer: d**(-862\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f + 1089. Suppose -2*z + 61 = -f. Suppose -3*r = r - z. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*l + 844 + 696 - 540 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7.8 (b) 2\/13 (c) 1\/99 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.03 (b) 5\/4 (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xeyr when four letters picked without replacement from {e: 1, x: 1, v: 1, i: 1, r: 2, y: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1292 - 8*w - 1292 to x + h*w and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 2 in increasing order.\nAnswer: -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 - 98*f**2 + 383*f - 77. What is b(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1172 - 1421.2. What is b rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(3\/4))\/c**(-9)*(c**(3\/5)\/c)\/c**(-7) assuming c is positive.\nAnswer: c**(317\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j**2 - 114*j**2 + 21*j**2 + 19*j**2 + 19*j**2 + 33*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u - 43*u - u + 149 - 149.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410 + 0*i + 445 - 4*i + 529 - 1585 + 0*i.\nAnswer: -4*i - 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.835048um in centimeters?\nAnswer: 0.0007835048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-2) - -1)\/(-1). Let l(w) = 4*w + 0*w + 8*w**2 + 6 + w**3 - w - k. Is 8 a factor of l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -202 + 3\/(-6)*14. Round g to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -24*o**3 + 3*o**2 + 128. Let z(t) = t**3 + t**2 - 1. Let v(g) = w(g) - 3*z(g). Differentiate v(r) with respect to r.\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -197809.\nAnswer: -158247.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1107 - -1110. Sort -281, q, -4, -1 in decreasing order.\nAnswer: q, -1, -4, -281","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttw when four letters picked without replacement from wwtttwwwwww?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 212*v + 2095. Give p(-115).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -36*q + 466. Let j be r(13). Sort j, -10, -7, -5.\nAnswer: -10, -7, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*u - 16, 0*u - 10 = -2*u + 4*o. Solve 8 + 9 = 3*a + 5*r, -u*r = -12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279 divided by 31.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7855177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2444101, -4888198, -7332295, -9776392?\nAnswer: -12220489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 902104 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = -162. Let l = -52 + x. Suppose l*y - 6*y = -4*d - 316, 3*y - 439 = -d. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1088) + sqrt(1088) + -1 + sqrt(1088) + sqrt(1088) + 2 + -1*sqrt(1088)*-2 - (sqrt(153) + 1 + sqrt(17) + sqrt(153)*6))*-3)**2.\nAnswer: 2585700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) -3\/4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) + sqrt(208)*-1)*-5 - sqrt(208) - 3*(sqrt(208) + 0) - (sqrt(208) + 2 + sqrt(208) + 1 + (sqrt(208) + 0)*-4)) + -1 + -5)**2.\nAnswer: 144*sqrt(13) + 913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-two fifths of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 12.91. Let n = -1126 - -481. Let t = 644.5 + n. Sort q, -3, t, 5 in descending order.\nAnswer: 5, q, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.74641835 + -664.35?\nAnswer: -675.09641835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 5:04 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 - h + 8. Let j be o(-3). Let s = 158 + -142. Calculate the highest common divisor of s and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -13*d - 56. What is l(2)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 182678410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.900000855 + -26.9. What is r rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.8*-0.07\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 59407544.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(66)\/sqrt(6)) + (-3 + sqrt(11))*3 - (2 + 3*sqrt(11) - (sqrt(11) + (-2*sqrt(539))**2)).\nAnswer: 2*sqrt(11) + 2145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -92763, -742413, -2505749, -5939613, -11600847?\n\"Answer: -92807*v**3 - v**2 + 2*v + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/15)\/((-7)\/(-105))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 + 12.8. Let d = m + -10.7. What is the second biggest value in d, -0.5, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*x - 303. Let w = 97 - x. Suppose 3*u - 116 - w = 5*f, -4*u = 3*f - 247. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/35, -3\/2, 3, 3\/2?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(540)\/sqrt(12).\nAnswer: 1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.697? (a) -7 (b) -36.8 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129.7 + 131. Let f = 0.4 + 0.1. Which is the second biggest value? (a) 0.1 (b) m (c) f (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/30*122\/(-671)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-4) + 18\/27)*(-18)\/(-60). Which is greater: r or 1.29?\nAnswer: 1.29","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5 + 5. Suppose -1 = v*m - m, 3*x - 10 = 4*m. What is the tens digit of (21 - (-6)\/(-2)) + x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1344 = -7*d + 4977. Calculate the remainder when d is divided by 113.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 - 7*c**2 - 563*c**3.\nAnswer: -563*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -101, 0.1, -0.2, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2667, -972, -10849, -30084, -61797, -109108, -175137, -263004?\nAnswer: -375829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 5*o + 11 + 16 + 14.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14.3 * 1.8877\nAnswer: 26.99411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24150.51 millilitres in litres?\nAnswer: 24.15051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*q)*(-4 + 5 - 2)*(-39*q**2 - 15*q**2 - 212*q**2)*(-5 - 5 + 0) to the form l*q + t*q**3 + n*q**2 + j and give t.\nAnswer: 5320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22055501 (base 6) to base 8.\nAnswer: 2412675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -31, -41, -51, -61?\n\"Answer: -10*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11272225 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22 (b) 3 (c) 0.2 (d) 3\/5 (e) 7\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a (base 12) in base 3?\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92686469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*p**2 - 737 - 739 - 734 + 2209.\nAnswer: -51*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 4*i - 3*i + 5 - i**3 - 7 in the form h*i**3 + y*i + m*i**2 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -17\/4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*x = 152, 0*x + 20 = 5*x. Calculate the remainder when 207 is divided by c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 3:22 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (32\/112)\/(6\/1456). Let c = -70 + l. Is c bigger than -1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/11))**(22\/7))**28 assuming z is positive.\nAnswer: z**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 2*l**2 - 4*l - 3. Let q be d(-3). Suppose -5*w + q = w. What is the derivative of 10 + 6*g**3 - 2*g**3 + w*g**3 - 3*g**3 wrt g?\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -922605451.\nAnswer: -922605454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10653 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -131, -1012, -3395, -8030, -15667, -27056, -42947?\n\"Answer: -125*j**3 - j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 500.8657 millilitres in litres?\nAnswer: 0.5008657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29449, 117755, 264859, 470701, 735221?\n\"Answer: -10*a**3 + 29459*a**2 - a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9\/31 (b) 2 (c) -283\/4 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7188 + -7161. What is the smallest common multiple of c and 225?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 39*u**3 - 8*u**2 - 28*u + 70. Give x(-5).\nAnswer: -4865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/394315 and -68\/41751.\nAnswer: 3548835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2713, -1\/4, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 35, 63, 97, 137?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36085 + 90774. What are the prime factors of g?\nAnswer: 17, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4371 - 39380\/9. Calculate the common denominator of g and (-14)\/4*-4*5\/364.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2835810\/11 or -257802?\nAnswer: -2835810\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*h + 1 + 0 - 2.\nAnswer: -224*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2996.73798 from -0.599.\nAnswer: -2997.33698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 39 - 58 = -3*u, -4*c + u - 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 1 - (8 - (15 - 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87404.91l to millilitres.\nAnswer: 87404910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 16. Let x be u(9). Let p(z) = 27*z**2 + 6*z. What is the units digit of p(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/1516065 and 37\/1431.\nAnswer: 13644585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from sqqsssqqqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -26?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3 - 7 = 0. Suppose 0 = 3*h - 2*h - 3. Suppose 5*t + 50 = 3*x, -70 = -8*x + h*x - z*t. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9048 and 1152?\nAnswer: 434304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-10))\/((-4)\/10). Let f = -3 + p. Let a = -71.2 - -71.9. Is a > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96375 and 27000?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 2 - 46)\/1. Let n = -181\/4 - a. Let c be (-1)\/(-4) + 1\/(-4). Sort n, c, -3.\nAnswer: -3, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 97955*g**3\/2 + 391817*g**2 + 783616*g - 48.\nAnswer: (g + 4)**2*(97955*g - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*w - v, -23 + 3 = 4*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 5*u - 3*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5 + 7)*(5593*x - 8681*x + 4610*x).\nAnswer: 7610*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**4\/8 - t**3\/2 + 105*t**2\/4 + 481*t. Find a such that w(a) = 0.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 7129176 in increasing order.\nAnswer: 1, 5, 7129176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - j)*(-j + 4*j - j)*(37*j - 13*j**2 - 37*j).\nAnswer: 26*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 10. Suppose -n*j + 3*j + 5 = -5*o, -j - 3*o + 14 = 0. Solve 0 = -l - 2*m + 11, j*m - 13 - 12 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.051 and -3.4.\nAnswer: -3.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2 = 2. Let a = 389\/7 - 55. Let b = a - 38\/91. Is p <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -137. Let i = -47 + x. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 8*t - 7 = 0. Let p(i) = -23 - 8*i + 7*i + 9. What is the remainder when t is divided by p(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7259857 divided by -4\nAnswer: -7259857\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -138*q + 1079 + 3751. What is the greatest common divisor of 21 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((28\/6)\/7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 68998583 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i + 2*i + 6*i)*(31 + 25 - 16).\nAnswer: 520*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (475\/475)\/((-47)\/2)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4695 + -4690. Let h = 1 + -4. Which is the nearest to -0.1? (a) 0.6 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4 - x + 0 - 2*x - 2. Determine q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3, -4*y - 3*z + 72 = -15. Does 31 divide (178\/56 - (-6)\/24)*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 35216832.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjzjzjjz.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18743 times -0.037\nAnswer: -693.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48\/5 + -10. What is the second smallest value in 0.05, 1\/4, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50.864 + -51.364. Let x be 2\/7 + (-12)\/(-7). Which is the fourth biggest value? (a) g (b) -2\/13 (c) x (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(500)).\nAnswer: 12 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -402\/7, -618, 0.13 in descending order.\nAnswer: 0.13, -402\/7, -618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**3*k**2 - 4*j**3 - 135*j*k**2 - 75*j + k**2 wrt k.\nAnswer: -6*j**3*k - 270*j*k + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 59. Let t = b - 11. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51133?\nAnswer: 51133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -7. Let p = -0.12 + 1.12. Let s = 6 - p. What is the closest to y in s, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 3. Let d(j) = -2*j + 177. What is d(x) - 2*r(x)?\nAnswer: 2*x + 183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 10, 2, -5, 2\/81?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 96\/(-45))*-6. Let z = x - -1\/20. Let i = 47\/156 + -2\/39. Which is the nearest to 0.2? (a) 2 (b) z (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/(-47 + (-2665)\/(-26))\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**3 - 3 + 3)*(6 + 1 - 2) as m + r*d + q*d**3 + o*d**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -58*y - 106. Let a(v) be the first derivative of -2*v + 1. Let q(w) = 4*a(w) - m(w). What is the derivative of q(k) wrt k?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f + 615 = 6*f + 4 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-605)\/(-209) + (-2)\/(-19). Suppose 0 = -l - d - 0*d + 297, -4*d + 888 = j*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.5, -2\/11, 3, -1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 325\/13*39\/(-65)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2710918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.926 + -269?\nAnswer: -245.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*v**3 + 5*v**4 - 10*v**3 + 6*v - 4*v**4 to a + l*v + k*v**2 + g*v**3 + p*v**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v - 31*v = -15*v + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -5.3.\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 33 = 2*u. Let y(h) = 3*h - h**3 - 7*h**2 + u*h**2 + 8 + 0*h. What is the remainder when y(6) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3576 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 16. Suppose 2*z + x = n, 0 = -z + x + 2*x - 8. Let g = z - 2. Solve -2*t + l = -4, -g*t - l - 1 = 2*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/321 and -2\/9.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 43.85, 0.3 in decreasing order.\nAnswer: 43.85, 4, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 513 = -65. Round h to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 378.\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 48. Let y(p) = 2*p**2 + 4*p + 1. Let a(m) = 3*m**2 + 5*m + 1. Let g(q) = 3*a(q) - 4*y(q). Calculate the remainder when 7 is divided by g(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -41. Is (-2 + 17418\/18)\/(i\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**2*j**2*u - 3*f**2*j*u + 6*f*u**2 + j**2*u**2 + 49*j**2*u wrt f?\nAnswer: -2*f*j**2*u - 6*f*j*u + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00651478 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 33*k + 28. What is x(-9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140 - 118 = 17*t. Let k(z) = z**2 - 13*z - 11. Let q be k(-5). Let h = q + t. Is h smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13 - 4.87. Let m = 8679533.0000024 + -8679528. Let l = f + m. What is l rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001056065 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32868 divided by 3?\nAnswer: 10956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2758652549.\nAnswer: 37, 97, 768641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 225 + -223. Suppose 3 = 2*h + 11. Let g be 2\/5*(-5)\/h. Which is the closest to 0? (a) f (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/c**1*c**(-2\/41) assuming c is positive.\nAnswer: c**(39\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120092 and 1113?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-9)*1*46\/(-23)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**7\/g)\/g)\/((g\/(g\/(g**(-6)\/g)))\/g)*(g\/(g*g*g**(-11)))\/(g**(-2\/21)*g) assuming g is positive.\nAnswer: g**(464\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 0*y**5 + 0*y**6 + 0*y**2 + 1\/21*y**7 - 1\/4*y**4 + 0 + 4*y + 0*y**3. What is the third derivative of g(u) wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 8648?\nAnswer: -8645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*t - 70*t + 120 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 962*h**2 - 98332*h + 200528.\nAnswer: -2*(h - 2)*(h + 151)*(h + 332)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/20, 1\/11, -18\/5, 0.2, 16\/5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-11 + (-5 - -2) + -10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59282512 and 1.\nAnswer: -59282512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 241219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6947, -6965, -7009, -7091, -7223?\n\"Answer: -2*o**3 - o**2 - o - 6943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x - 8*x + 0*x - 13 - 14*x + x - 30*x**2 + 8.\nAnswer: -30*x**2 - 6*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**6\/d**(-8)*d*d*(d**(2\/19)\/d*d)\/d*d*d*d\/((d*d**(-5)*d*d)\/d)*d assuming d is positive.\nAnswer: d**(420\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30890129 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 32. Let y(z) = 4*z + 3275422 - 3275422. Give j(y(v)).\nAnswer: -4*v + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from quhhhqhuuqqqquhqq.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**3\/8 + 75*a**2\/8 + 39*a\/4 - 19 = 0.\nAnswer: -2, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000167669 to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1141918\/335 greater than or equal to -3409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217745 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301254553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 3*u + u + 2*d, 4*u + 5*d - 335 = 0. Calculate the greatest common factor of u and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1645*g + 6649 - 22676 = -1181*g + 16453 for g.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + (sqrt(162) - (sqrt(162) - (-1*sqrt(162) + 5 + sqrt(162) - sqrt(162)))) + sqrt(162))**2 - (-2*sqrt(162))**2*-4)*1.\nAnswer: 90*sqrt(2) + 2779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 15, -3*o = 2*g - 1 - 21. Suppose 0 = -v + o*v - 9. Solve 0 = -t - v*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + 9 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18629517 is divided by 75119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*j - 12 = 0, -r + 2*j - 1 = -9. Let d = r - -6. What is the second derivative of -4*s - s**2 + 0*s - d*s**2 wrt s?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640060.6 milliseconds to nanoseconds.\nAnswer: 640060600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 21*b**3\/4 + 51*b**2\/4 + 7*b\/2.\nAnswer: -b*(b - 2)*(b + 7)*(4*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 divided by 5.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 7 - 9. Let r = -1 - m. What is the first derivative of o - 3*o + 2 + r*o wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7) + 1140\/(-210) + 6\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*4\/170*-1)\/((-40)\/(-200))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -52. Suppose 4*i - 20 = 0, 2*s - 21 = -3*i + 4. Solve h + s = d*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1447622 or -1447527?\nAnswer: -1447622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3) + -4 - (-1 + sqrt(272)).\nAnswer: -3*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -43, 220, -2, 3?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - g**5 + 2*g**3 + 0*g**5 + 0*g**5 + (-2*g - 5 + 5)*(2*g**4 + g**4 - g**4).\nAnswer: -5*g**5 + 2*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**3\/2 - 443*r. Let l(j) = -434*j**2. Determine l(c(t)).\nAnswer: -3906*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1100) + 5 + (2 + sqrt(1100))*-4)*-2.\nAnswer: 4 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 5:52 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -128, -5, -7, 0 in decreasing order.\nAnswer: 0, -1, -5, -7, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2 - 1 - 2*x**2 + 4*x**2 + 3*x. What is the tens digit of z(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 - 5*l - 25. What is the units digit of z(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149469*g**2*y**2 - 884*g**2*y + 30*g*y wrt y.\nAnswer: -298938*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 64*s**2 + 960*s + 4. Let p be n(-15). Solve 5*d - 4 = -p*z - 37, -d - 2*z - 9 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/4 and -31*(-28)\/(-96) - -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 = -4*t, 3*t + 4 = -i - 1. Let p(o) = o + 4*o + t*o - 4*o. Let r be p(5). Solve 0 = -v - r, -4*y + 3*v - 13 + 44 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-48)\/(-90)*5 - 2)\/((-2)\/(-55107))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 544, 1078, 1616?\nAnswer: 2158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -253535240 rounded to the nearest one hundred thousand?\nAnswer: -253500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289120 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15 + ((((-280827)\/6)\/9)\/(-6))\/((-11781)\/(-204))\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8425 - -3350. Is 63 a factor of 4\/(-6) - g\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 - 18*i + 39. Let b be m(4). Solve -3*l + 3*u + b = 13, l + u - 2 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*o**5*w**3 + 3*o**5 - 55*o**2*w**3 + 2*o**2*w wrt o.\nAnswer: 4560*o**2*w**3 + 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*4 + 4)*-5)**2.\nAnswer: 4800*sqrt(5) + 72400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 2, g: 5, n: 3, u: 5}. Give prob of sequence oggl.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.59 - -0.589656. What is i rounded to 5 dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1614*4\nAnswer: 6456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 81106.383 times -0.3?\nAnswer: -24331.9149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6472 is divided by 217?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 60426?\nAnswer: 120852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3625, 3691, 3757, 3823, 3889?\n\"Answer: 66*o + 3559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46357 is divided by 828?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) -3 (c) 0 (d) 2\/3 (e) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11934*n - 31. Is f(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04665 less than -39894771364?\nAnswer: -39894771363.95335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(6\/7)))\/(t**(11\/4)\/t)*(t**6)**(-28))**30 assuming t is positive.\nAnswer: t**(-70935\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 5e4?\nAnswer: -5f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s + 22 = -6*n - 44*s, 5*n - 47 = -3*s. Let g(k) be the third derivative of k**4\/4 + k**3\/6 + 2*k**2. What is g(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 2. Let k = -7\/2 + 4. Let x = 10 - 14. Which is the nearest to k? (a) -0.1 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6173586*s. Let b(c) = 13*c. What is o(b(p))?\nAnswer: -80256618*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4777, -5, 14, 3, -1 in ascending order.\nAnswer: -4777, -5, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 1, -3, 10, 10.56, 0.04, 2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -120323440 rounded to the nearest 1000000?\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 531 - 112. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 11:05 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -53. Let r(s) = -w + 147*s - 147*s + 2 - s**2. Suppose 5*h = 2*h. What is r(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -221 + 220.92. Is -1 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 + -129 + -36 - -90.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/7 - 52*k**4\/7 - 80*k**3\/7 + 60*k**2 + 126*k + 432\/7 = 0. Calculate k.\nAnswer: -24, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124 - 104. Suppose -29*c = -f*c - 45. Put -13, 3, c, -2 in descending order.\nAnswer: c, 3, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 13 (b) -1.1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96488 is divided by 32161.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-59)\/(-1) + -1 + 0. Calculate the highest common divisor of d and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 1 - 1)*(-3 + 1 + 1)*(-332*p**3 + 475*p**3 - 324*p**3).\nAnswer: -181*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1599570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-230)\/30*(-81 - 6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 4:31 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 100, -3 in increasing order.\nAnswer: -3, 0.5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*k**2*u**4 - 338*k**2*u**2 - 4*k**2 + 2*k*u**4 + 56*k*u**2 + k*u + 1915596*u**3 - 35*u**2 + 1 wrt u.\nAnswer: 864*k**2*u + 48*k*u + 11493576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1632 and 544?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1757272 to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 18*f**2 - 1 + 60*f**2 - 22*f**2 + 15*f - 25*f**2. What is the units digit of d(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 57. Suppose 3*y - 2 = j, n*j - 2*j + 18 = 5*y. Let x(s) = 8*s**2 + 8*s**y - 8*s**2. Let p(u) = -2*u**2. Determine x(p(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((44 - -1) + -46)\/((-1)\/(-26) - 0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -12. Let i be (6 - n) + 3 + 0. Which is greater: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -4 + 4*x + 0*x**2 + 2\/3*x**3. Find the first derivative of s(m) wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 50*j**7\/21 + 595*j**6\/6 - 246*j**5 + 746*j**4\/3 - 400*j**3\/3 + 13*j**2 - 13. Find u, given that w(u) = 0.\nAnswer: -25, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-342)\/70 + (-729)\/(-1215))\/((-4)\/14).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(119\/(-35)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {o: 8, d: 6, n: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015566969?\nAnswer: 3, 338522323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + ((sqrt(448) + sqrt(448) + 1)*4 - sqrt(448)))**2 + ((1 + sqrt(567))**2 - sqrt(567)) + 0 + -2.\nAnswer: 521*sqrt(7) + 29254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7935, 8188, 8441, 8694, 8947, 9200?\nAnswer: 9453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhnnhvhhwchhvrrvnh. Give prob of picking 2 w.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71574357.\nAnswer: 3, 101, 236219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a1c (base 14) in base 12?\nAnswer: 11a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 + 382*i\/7 + 1304.\nAnswer: 2*(i + 28)*(i + 163)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*138\/(-161) + (-57)\/(-21)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6589617 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8001 + 2112?\nAnswer: -5778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100001101110100 - 10?\nAnswer: -10110100001101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3\/15 + 916*m**2\/15 + 19088*m\/3 + 367232\/15 = 0.\nAnswer: -302, -152, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021552.1ms to days.\nAnswer: 0.02339759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.3 + -20.3. Suppose j - 5*j - 4 = 0. Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**5 - 1010*a**4 + 44645*a**3 + 635900*a**2 + 2679280*a + 3663680 = 0.\nAnswer: -4, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -950.2 + 946.2. Which is the nearest to 0.1? (a) -6 (b) 7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61bfc2 (base 16) to base 5.\nAnswer: 3114443312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28834 is divided by 191.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 29 = 3*a - 34, -74 = -4*a - 2*f. Calculate the greatest common factor of 85 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 - -133. Which is the closest to 0? (a) -2\/3 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqzzbbeeqzqezbee. Give prob of sequence qqb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(475) - sqrt(475))*-6 - 5*(sqrt(475) + sqrt(475)*2 + 2))**2.\nAnswer: 3300*sqrt(19) + 107359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162003 is divided by 12443?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*j + 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0211 rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6984985313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*m**2 - 196 + 41*m**2 + 326*m**2.\nAnswer: 412*m**2 - 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -805 + 132868\/165. Find the common denominator of r and -25\/297.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97232 is divided by 438.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5 - 5*s**3 + 0*s - 2*s + 0*s**3 + 3*s. Let t(c) = -c**3 + c**2 + c + 1. Let m(z) = -f(z) + 4*t(z). Give m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/8*10 + -2. What is the tens digit of i\/(14\/(-6)) - -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224658*m - 4937*m - 43483*m.\nAnswer: -273078*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43715 + 43891.228. Let y = 175 - k. Let m = y + 1.3. What is m rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171487\/11596 - -15*(-12)\/4680.\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180720 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 3. Let l = -8 + 5. Let r be n(l). Suppose v + 3 = 2*a, r*a - a = -2*v + 39. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -0.5, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4 - 1. Let c = -3 - -4. Sort c, j, 3 in ascending order.\nAnswer: c, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 = 0, -k - 3*t - 126 = -2*k. Calculate the remainder when k is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1445\/9 + 161. Let v = 16 - 8. Let a = 11 - v. What is the second smallest value in a, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.3 + -0.3. Let t = g + -27.9977. What is t rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36989 - 1?\nAnswer: -36990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-212))\/(((-100)\/32)\/5).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-1 - (2 - 2)). Let n be d\/8 + (-98)\/(-328). Suppose 45 - 55 = -2*t. What is the smallest value in n, -1\/2, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v + 0*v = -41*v. Let z = -4 + 7. Solve v = 2*a + 5*q + 10, -2*q + 4 = z*a - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**8\/840 - 11*w**7\/525 + 7*w**6\/75 + 8*w**5\/75 - 32*w**4\/15 + 112*w**3\/15 - 10237*w**2. Factor d(x).\nAnswer: 2*(x - 7)*(x - 2)**3*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 6392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5562 and 13184?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44.68 - -46. What is k rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {u: 1, n: 2, x: 4, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -417? (a) -2 (b) -20 (c) 1 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1ab1a (base 12) to base 11\nAnswer: 27850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 44.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 757491494, 757491495, 757491496, 757491497?\n\"Answer: z + 757491493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194104787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/sqrt(4))\/sqrt(4)*2)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 373, 828, 1465?\nAnswer: 2284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**2 - 809973 + 809973 - 56*k. Let d(j) = j**2 - 11*j. Determine -11*d(g) + 2*r(g).\nAnswer: g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -281\/158191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 46 + -20 + 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*t + 8 = 2*i, -t - 4*i = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1188, 1197, 1212, 1233, 1260, 1293?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*z = -452 - 147 - 766 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1677278 is divided by 11410?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -75 - (-61 - 41 - -20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (6*((sqrt(72) + -1)*-3 - sqrt(72)) - (-1 + sqrt(72) + 1)*-1))**2.\nAnswer: -4968*sqrt(2) + 38412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (155\/(-25) + 7)\/((-6)\/(-1405)). Let f = m + -189. Let i be 4\/(-10) - 8\/30. What is the nearest to i in -1, 1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 114*w**2 - 6. Let q(t) = t. Give q(z(c)).\nAnswer: 228*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, 2\/15, 482, -31?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + c = -0*c + 4, n - 3*c = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/(-72))\/((-106546)\/(-106544) + -1). Let r = g + -13407. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 103 (b) 150 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*c = -258, 4*c - 160 = -0*d - 2*d. Suppose -4*v + d = -0*v. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/7 + 1355003*t**3\/7 - 5420000*t**2\/7 + 5419996*t\/7.\nAnswer: -t*(t - 1354999)*(t - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 2*d**5\/15 + d**4\/8 - 2*d**3\/3 - 4*d**2 + d. Let k(w) be the first derivative of b(w). Is k(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2932 + -14656\/5. Let p = 8.3 + -1.3. Let g = 7.1 - p. Is g at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-763)\/1727 + (-3718)\/291863\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -622 times -0.4\nAnswer: 248.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 26 = 5*s - 2*n, -2*s = n - 11. Let h be ((-6)\/s)\/(15\/50). Let d be (-2 - -2) + (-18 - -3)\/h. Solve 2*a + 5 = d*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17745, 35487, 53229?\nAnswer: 70971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - (6 - -4)) + 78 + 0?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5*i - 89 = -79, 4*i - 16 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -139*b. Let u(i) be the first derivative of 21*i**2\/2 - 49. What is h(u(q))?\nAnswer: -2919*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -92 (b) 1\/13 (c) 5 (d) 1\/5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -44.08?\nAnswer: -44.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2169514 is divided by 2169505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -393 + 579. Which is smaller: a or 188?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 21 = -5*u, 12*f - 9*f = 4*u - 16. What is the nearest to 0 in f, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6327.5357879 - -4108\nAnswer: 10435.5357879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(75)*-3*3)**2.\nAnswer: 1053\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -290 in 2\/3, 2, 1604.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7022 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -0.1, 0, 7, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3766 is divided by 242?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/9 + 793*c**4\/9 - 22568*c**3 + 17456720*c**2\/9 - 287590400*c\/9 + 90112000\/3 = 0. Calculate c.\nAnswer: 1, 20, 132, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 15*m - 7. Give d(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37564277?\nAnswer: 37564277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 2*j + 1. Let l be n(3). Let i = 39 - l. What is the second derivative of 4*p**3 + 3*p - 11*p**3 + i*p wrt p?\nAnswer: -42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2541\/(-2793) - 18\/(-21))*-3.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -18401?\nAnswer: 18402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(-2\/13)*x)*x)*x**(-3)*x)\/(x\/x**(-1\/4))**13 assuming x is positive.\nAnswer: x**(-957\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-1001)\/(-33))*-1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12231 and 15?\nAnswer: 61155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 29 - 7. Let j(b) = -b - 1. Let m(v) = -3*v + 14*v + 11 + v. Determine z*j(w) + 2*m(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 6*m + 2*m**2 - 7*m**2 + 6*m**2 + 1. What is q(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*l = 25, -5*v + 0*v = 2*l - 37. Let r = v + 1. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 41*t - 12. Let m be d(-20). Let h be (-385)\/(-30) + (-3)\/(-18). Suppose -m*g + h*g - 15 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5987 (base 12) in base 14?\nAnswer: 3931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230 (base 12) to base 15.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let w(u) be the second derivative of 7*u**5\/60 - 5*u**3\/3 + 5*u. Let r(d) be the second derivative of w(d). What is r(x(j))?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v = 27*v. Suppose 1 = z - 4*s, -s = -v*s - 5. Suppose -z*g + 20 = -16*g. Calculate the remainder when 13 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 4*f - 1. Let r = -50 - -55. What is the lowest common multiple of d(-6) and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102923449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 4*i**2 + 3*i - 10. What is n(-5)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -317*p**2 - p. Let u be n(-1). Does 19 divide (-4)\/(-6) - u\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/q**(-1\/4))\/(q**9\/q**(-6)) assuming q is positive.\nAnswer: q**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, u: 2, q: 3, k: 3}. Give prob of picking 2 u, 1 l, and 1 k.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21121011122 (base 3) to base 15.\nAnswer: 2e4b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-70))\/(9\/(-120)*28\/7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p**2 - 36*p + 36*p)*(-3 + 1 - p + 0) + 2*p**3 - 8*p**3 - 5*p**3.\nAnswer: -25*p**3 - 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/50)\/(4\/10). Let p(d) = 4*d - 6. Let n be p(6). Suppose q*m = 66 - n. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d - 2. Suppose 3*k - 13 = -2*a, -3*a = -3*k - 9 - 33. Calculate the lowest common multiple of a and y(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/7))**(25\/6)*x*x\/(x*x**(-19)*x)*x*x*x**(-1\/12)\/x)**(-27\/7) assuming x is positive.\nAnswer: x**(-16407\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4018 divide 4736382238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1579, 3051, 4343, 5365, 6027, 6239, 5911, 4953?\n\"Answer: -15*i**3 + 1577*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*a - 15 - 7, -2*a - 48 = -2*u. Do -0.1 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25435284143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 9\/5 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i. Suppose -11 = c + 3. Let a be 4\/c + 237\/21. Let b(h) = -5 + a - 6 - 3*h. What is b(s(v))?\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2) - 4 - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-5*-1*sqrt(450) + sqrt(450) - sqrt(450)) + 3*(sqrt(450) + (sqrt(450) - -1*sqrt(450))))\/(sqrt(30)\/sqrt(12) + -2*sqrt(1000) + sqrt(1000)))**2.\nAnswer: 882000\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316800 is divided by 970?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/234 and -83\/260.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8*(-4 - 0). Suppose 3 = 3*s - j. Suppose -2*g + 10 = 2*k, -2*k - 2*g = -7*g + 18. Solve r - k = s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 2*f**2 + 0*f**2)*(-109*f - 238*f - 52*f - 1 + 1).\nAnswer: -798*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 5*l**2 - 3*l - 7. Suppose -2*u + 0*u + 4 = 0. Suppose 78 = u*v + 30. Suppose 0 = 5*f + v + 1. Give c(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(2 - 4)*(9 - (-360)\/(-48)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38638, -309390, -1044352, -2475628, -4835322?\nAnswer: -8355538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217815 + -61206165\/281. Is 0 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from lxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3\/8 - 45*n**2\/8 + 519*n\/4 + 900 = 0 for n.\nAnswer: -25, -6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 20*z - 101. Let i be m(4). Let o be (-1)\/4*-1 + i\/10. Put 5, o, -12\/5 in increasing order.\nAnswer: -12\/5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/(339\/1808)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 775.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 5*s**2 + 5*s - 4. Let f be i(4). Suppose 0 = -d - f + 14. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 42. Let h be -1 + 11 + -22 + 18. Sort h, 0, v, 5 in increasing order.\nAnswer: 0, v, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 - 9466423.9\nAnswer: -9466423.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 477823 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9128, 9118, 9106, 9092, 9076, 9058?\nAnswer: 9038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b9d3 - -6d?\nAnswer: ba62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -913, -908, -893, -862, -809, -728?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 756 - 862. Which is the second biggest value? (a) -1\/3 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y + 2. Suppose -3*q = -2*q - y. Let p be q\/20 - (-4)\/10. What is the third biggest value in p, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -54. Suppose -5*k + 216 = -j. What is the highest common factor of k and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 84?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 + (7 - 154\/(-3)). Suppose -x*z + 53*z + 30 = 0. What is the nearest to 5 in 3\/7, -3\/8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*2*1. Suppose 0 = -k + m - 0. Find u such that u + 2*u**2 - 6*u**3 + 6*u**4 - 4*u - 2*u**k + 3*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (116\/4)\/((-1)\/(-19)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1701, 6605, 29157, 73077, 145487, 253509, 404265?\n\"Answer: 1187*b**3 + b**2 - 6*b - 2883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 455388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -504, -1184, -2140, -3372, -4880, -6664?\nAnswer: -8724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - n - 1. Let h be y(-2). Let q be (-2)\/h + 2\/5. Sort -1, q, -12 in increasing order.\nAnswer: -12, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 12:08 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 + 272*s**2 + 1437*s - 681. Calculate h(-85).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b = 215. Let k = -12 - b. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 8:38 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.04417022*-4\nAnswer: 0.17668088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0376 + -173.9624. Let o = 11830595695 + -11830595868.99999827. Let z = o - g. Round z to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g + 1100*g**2 + 3*g + 2*g + 26 - 1147*g**2 wrt g?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*i - 4*z, 3*i = i - 5*z + 8. Let m be (-1 - i) + (-1 - 50). Let j = m + 73. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.5 + 15. Let s = -0.04 - -0.14. Let g = 451 - 2256\/5. Which is the third biggest value? (a) s (b) g (c) 1\/5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10)*1*(-7915)\/(-9498)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 2*i - i**3 - 10 + 21 to the form j*i + s*i**2 + y + g*i**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 18 = -j, -g - 6 = -5*j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*v + 74 - 78*v - 45 to the form q + o*v and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6811.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (84\/(-35))\/(9\/(-30)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p. Let w(i) = 3*i**2 + 35*i - 87*i + 50*i - 13*i**2. What is w(s(j))?\nAnswer: -160*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pprbooblbjpbpbpoopoo. Give prob of picking 1 r and 1 b.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115.752 - 115.352. Suppose 2*m - 3*t = -3 + 57, 5*t + 82 = 3*m. Let c = m + -35. What is the second biggest value in -3, c, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 5*t = -d - 2, 2*t = 3*d + 21. Let r(v) = v**2 + v. Let y(l) = 3*l**2 + 3*l - 1. Calculate d*r(n) + 2*y(n).\nAnswer: n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v**3 - v**2. Suppose 0 = -4*u - y + 7, -3*u = -3*y + 15 - 9. What is t(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 8*z - 2821. Let b = -150 - z. What is b rounded to the nearest 10?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (12 - -3)) + -5 + (4 - 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3213\/315 + (-4)\/(-5) + 0\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f - 1054 = 0. Calculate the highest common divisor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 - 8*j**2 + 93*j**2 - 2*j**2 - 4*j**2 - 9*j**2.\nAnswer: 57*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4410)\/1715*(-1078)\/99\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001838798 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxdbb. Give prob of sequence kbxd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*o*r - 2*o*v**2 + 3*o*v + 75477*r*v**2 + 5*v**2 - 3783*v - 1 wrt r?\nAnswer: -10*o + 75477*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -12 (c) -0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 6*k**2 - 7*k - 6. Let w be y(-5). Let h(b) = b. Let p(g) = g**2 + 4*g. Let q(i) = w*h(i) - p(i). Factor q(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18382*-5\nAnswer: 91910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/4 (b) 4\/3 (c) -3\/16 (d) 2 (e) -0.3 (f) -3 (g) -1234\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3\/3 + 6*m**2 - 22*m\/3 - 14 = 0?\nAnswer: -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.223 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 59*z - 269. Let t be k(33). What is the highest common factor of t and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17178 is divided by 96?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 3444 - 4095 = 0. List the prime factors of w.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*c + 7 = 0, 3 + 7 = -2*s - 4*c. Let o(k) = 3*k + 36. Is o(s) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 19*v - 16. Let x be k(-20). Suppose t + 2*t + 2 = -y, -x*y + t = -5. Which is the nearest to y? (a) -2 (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 15*p - 18. Calculate k(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 52, 65, 104, 181, 308?\n\"Answer: 2*y**3 + y**2 - 4*y + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 3 - 3)*(-8 + 9 - 4) + 2*u - 5*u + 4*u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + 0*g**2 - 2*g**2 - 210 - 33*g**2 + 210 + (-4 + 0 + 2)*(3*g**2 - 3*g**2 + 2*g**2) + 2*g**2 - 5*g**2 + 2*g**2.\nAnswer: -37*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 110 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 5. Let k be r(4). Let y(d) be the third derivative of d**4\/12 + d**3\/3 - 2*d**2 + 290. What is the lowest common multiple of 8 and y(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 8*d + 1. Suppose -4*r + 2*y - 3*y - 194 = 0, 4*y - 184 = 4*r. Let u be (r\/10)\/(-3)*-5. Let z be a(u). Is z equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**4 + 8*y**3 - 76*y**2 + y wrt y?\nAnswer: 96*y + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/9 and -145\/13632?\nAnswer: 40896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from vsc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6306*i + 9415*i - 2 + 17473*i + 2 to r*i + k and give r.\nAnswer: 20582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9694 - 9670. Solve f*x + 4*u - 15 = 25*x, -3*x = -u + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 10*t**3 + 2*t**2 + 2*t - 4. Let r(w) = 11*w**3 + 3*w**2 + 3*w - 4. Calculate 3*n(b) - 2*r(b).\nAnswer: 8*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 348.728 + -1.2385\nAnswer: 347.4895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 21 = -0*c. What is the remainder when 47 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 785, 1492, 2199, 2906?\n\"Answer: 707*j + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29015 is divided by 1200.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3515*p - 35 = 3520*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170546.\nAnswer: 2, 269, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1537, -2199, -2861, -3523, -4185?\n\"Answer: -662*i - 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/17 - 20*h\/17 - 112\/17 = 0. What is h?\nAnswer: -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1871 and 10550569.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15767, -15770, -15773, -15776, -15779?\n\"Answer: -3*i - 15764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132971 or 132903?\nAnswer: 132903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 71. Suppose d*t + 4*z = 2*t - 14, -2*z = -5*t + 19. Find the first derivative of 2 - 52 + 2 + 28*k**t wrt k.\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/43, 3359, 76 in descending order.\nAnswer: 3359, 76, 2\/43, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 11 = 1. Suppose w = 4*j - 5, 10*j + s*w - 7 = 14*j. Solve 2 = 2*t + 4*d, -2*t - d - j*d = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2760 and 240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 26. Suppose 3*o = -o + f. Suppose -h = 1 - o. Solve 0 = -p + 2*v + 3, 0 = 2*p - 3*p + v - h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 10*u**2 - 23*u + 32. What is the units digit of d(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10\/7, -3\/37, 2\/7, -0.3?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (0\/(-4) - -3). Let s be (y\/(-2))\/((-5)\/(-20)). Suppose -5*h - 5 = -s*r, 3 = h - 0. Solve 4*x - 12 = 0, 3*g = -2*g + r*x - 25 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 285665 + 3?\nAnswer: 285668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35949 >= -462\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48908223113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/112 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 10:44 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5420 (base 7) to base 15.\nAnswer: -885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 70\nAnswer: -9\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.31897*0.3\nAnswer: -0.095691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 57\/(-7) - (-7 - 576\/(-84)). List the prime factors of 176\/(-6)*222\/w.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23191, -135, -3 in ascending order.\nAnswer: -135, -3, -2, 23191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - 8*s**2 - s**4 + 4*s**2 - s to t*s**4 + c*s**2 + n*s**3 + w*s + b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77175308 a multiple of 2972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110000011001011001011 + 11100?\nAnswer: 1010110000011001011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**2 + 0*v**4 - 3\/20*v**5 + 1\/6*v**3 + 0 - v. Let w(s) = -4*s**3 + 2*s - 3. What is -2*w(k) + 3*y(k)?\nAnswer: -k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (62 - 4) + 3 + -3.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 - -94109812608\nAnswer: 94109812570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 9*o - 6*o - 35, -45 = -5*g - 5*o. Solve 0 = 2*p + g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**2*q**2 - 512371*h**2*t**2 + 6773*h*q**2*t**2 - h*q*t**2 - 2*h*q*t - h*t + 2*h - q wrt h?\nAnswer: -6*q**2 - 1024742*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-2)\/4)\/(-1)*0)\/2)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l + 2. Suppose 2 = 2*z + 10. What is the remainder when q(-7) is divided by z\/(-10) - (-73)\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8363 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 56?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81901 is divided by 455.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*d = -54 - 46, 5*m + 3*d + 212 = 0. Let x be ((-6)\/3)\/(16\/m) - 5. Solve 5*y = -4*j - 11, x = -6*j + 2*j - 4*y - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (22 + -11 - 28). Solve 0 = -5*w, -15*b = -k*b - 2*w + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.8956 micrograms in kilograms?\nAnswer: 0.0000000228956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-740)\/50*((-7)\/2 - -1). Let j = 101 - l. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 26*p - 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**2 + 28740*h - 28736 = 0.\nAnswer: 1, 7184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55207019, 55207023, 55207029, 55207037, 55207047, 55207059?\nAnswer: 55207073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 432313680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r. Suppose -273 = -6*o - o. Let l = -29 + o. Let i(z) = -9 - 1 + 4*z + l. Give -6*i(x) + 5*p(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 - 100. Solve 12*f - 6 + 54 = t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016759055 to 5 decimal places.\nAnswer: -0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (201 - 357 - 813)*(-5*n**2 - n**2 + 2*n**2) to c + f*n + i*n**2 and give i.\nAnswer: 3876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391 - -1 - (-5 - (1 + -3))?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 6. Let d be g(0). What is the remainder when (26\/2)\/(3\/d) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 y, and 1 f when three letters picked without replacement from aaaffffafaaaaayffa.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, e: 1, y: 3, u: 1, a: 2, w: 3}. Give prob of sequence xyx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 6 = 3*f, -f + 1809*r = f + 1804*r + 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15193344 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + 3*q**2 + 215*q + 844. Determine c(-4).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 201122?\nAnswer: -201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a minute?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 15 = b - 2*f, 2*b + 15 = 5*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10563733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21202445 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3572*l + 3591*l + 17 + 1)*(-l**2 + l**2 + 2*l**3).\nAnswer: 38*l**4 + 36*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - b**2 + 1. Let t be c(1). Suppose -m - 4*m = w - 3, -5*w + 69 = -t*m. Let y be 3*(1 + 0) + w. Solve o = -3*o - y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7790094, -7790110, -7790126, -7790142, -7790158, -7790174?\nAnswer: -7790190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33950451 divided by 3\nAnswer: -11316817","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/306)\/((-1)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.81 - 2?\nAnswer: 320.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875674137?\nAnswer: 3, 13, 22453183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, w: 1, e: 1, b: 4}. What is prob of picking 4 l?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 + 78 = -46*c - 26 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 9 - (-1 - (-1 + 10 + -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k + 15. Let h(o) = o + 2. Let m be h(k). Suppose m*v - 4*v - 4*w - 155 = 0, 4*v - 204 = 4*w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -812, -3281, -7388, -13127, -20492, -29477?\nAnswer: -40076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.34.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 76 - 56. Suppose 2*s - 291 = y*p + 577, 4*p + 436 = s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111779692 divided by -55889846.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2439956 and 26.\nAnswer: 63438856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**5 - 3*g**5 - 2*g**5 - g**5 + 5*g**5 + 2*g**5 + (-2 - 2 + 5)*(5*g**5 - 19*g**5 - 7*g**5).\nAnswer: -24*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1692\/105 - 20\/(-70))\/(12\/10) and 23\/131.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 15*n - 3 = 0. Suppose n*c = -s + 42, -45 = -2*c + 3*s + 2*s. Calculate the highest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 21*v + 221. Determine i(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*c**2 + 2*c**2 + 17*c**2 + 7*c**2.\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 4*n. Let w(i) = 2*i**2 - 7*i. Let d(y) = -5*o(y) - 3*w(y). Let q(h) = -2*h**2 + 6*h + 1. Give -6*d(f) + q(f).\nAnswer: 4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2775942, -5551874, -8327806, -11103738, -13879670?\nAnswer: -16655602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**12*p)\/(p**(-11\/3)\/p) assuming p is positive.\nAnswer: p**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1307.8 + -18106\nAnswer: -16798.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.6 and 1.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1114*k - 11139. What is a(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63 in -0.4, -5\/2, -13108, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 0.30855.\nAnswer: -0.80855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1829*k**3 - 8*k**2 + 130*k?\nAnswer: -10974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 - h**2 - 3*h + 2. Let x be ((-3)\/2)\/((-2)\/(-8)). Let g(a) = -4 - 5 + 187*a - 174*a + 4*a**2 + 9*a**3. Give x*g(n) - 26*m(n).\nAnswer: -2*n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 4*a - 3. Is j(5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 41\/(-3)) + 8\/24. Suppose f*r - 20*r = 72. What is the third smallest value in -1\/2, -2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 4*x = -420. Let n(c) = -c**2 + 6*c + 12. Let m be n(6). Let p be x*(-2 - 2)\/m. Solve -5*g - 3*o = p, 3*o = 10 - 25 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-2))\/(546*1200\/37440).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9026 - -0.7796. Let f = x - -0.123. What is the closest to -0.1 in 3.4, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 17*y + 0 - 16 - 5 + 23. Let x(c) = 8*c + 1. Determine -2*q(t) + 5*x(t).\nAnswer: 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(132) - (3*sqrt(132) - sqrt(132))*1) + sqrt(132) - sqrt(132))*3)\/((sqrt(2916)*-3 + sqrt(2916) - sqrt(2916))\/(sqrt(108)*-2 - sqrt(108))).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10198*m - 48 = 10202*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 339, 1148, 2731, 5346, 9251?\nAnswer: 14704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1281*y**3 + 1359*y**2.\nAnswer: 7686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/1691 and -13\/623.\nAnswer: 11837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q**3 + 397*q**3 + 5*q**3.\nAnswer: 435*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 137073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -948*m - 1562. Let t(u) = 158*u + 260. Let n(i) = 6*r(i) + 39*t(i). What is the derivative of n(j) wrt j?\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - p + 1. Let w(n) = -4*n**2 + 3*n - 4. Calculate 3*i(l) + w(l).\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Let u = g - -5. Let m = 60 - 38. What is the greatest common divisor of u and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 9*o**3 - 4*o**3 - 5*o**2 + 6*o**3 + 5*o**2 - 5*o**3 + 16*o - 16*o + (5*o**2 - o**2 - 2*o**2)*(o - 4*o + 5*o).\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 11*s + 8. Let z be f(8). Let r = z - -18. Let i = 0.03 + -0.23. What is the third smallest value in r, i, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 24\/13 (b) 7 (c) 1\/6 (d) 0.5 (e) -32 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 986 + -926. Suppose -2*y + 25 + 55 = 0. What is the greatest common factor of x and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*w**5 - 3*w**4 + 4*w**3 + 14227*w + 1?\nAnswer: -1680*w**3 - 36*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 6*t - 6. Suppose 5*i + 8 - 28 = 0. Let f be h(i). Suppose 2*u - 455 = -5*q - f*u, 0 = -2*q + 5*u + 182. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 164\/406533?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 997206708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 2. Let f be p(0). Let z be f\/(-6) + 256\/24. Is z smaller than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 7 = 3*i, 32 = -40*d + 35*d + 4*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -15. Suppose o*a - 109 - 51 = 0. Let t be 6\/((6\/a)\/1). What is the greatest common divisor of t and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41519413 is divided by 830388?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - 0.3. Let r = -12053 - -12055. Let z = -649\/7 + 93. What is the closest to k in z, r, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386*i + 11640 = 677*i. Calculate the lowest common multiple of 2954 and i.\nAnswer: 59080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d**2 - 573*d - 528. What is t(53)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32737 is divided by 201?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 + 432*g + 46*g.\nAnswer: 478*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14\/9)*f\/f**(2\/63))\/(f**(4\/9)*((f**(-11\/4)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(1189\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 151, 150, 149, 148?\n\"Answer: -g + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59.6 + -59.3. What is the nearest to 0 in -0.84, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 4:31 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -60. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmqmmqmmqmfhm. What is prob of sequence mm?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*s + 5*s**2 + 2*s**2 - 3 + 8*s**2 + 2*s**2 + 2 to the form d + t*s + g*s**2 and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -251.9999778 - -252. Round b to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 264*k**2 - 11616*k + 170368.\nAnswer: -2*(k - 44)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186871695?\nAnswer: 3, 5, 719, 17327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:00 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = 0, -2*g - 4 = -3*q + 5. Solve 15 = g*w + 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 19. Suppose -o*y - 3*d - 6 = 0, -4*y + 2*d = 3*d + 11. Sort 4, 2, y.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17955)\/3325*10\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.32, -1\/4, -8, 0.2 in increasing order.\nAnswer: -8, -0.32, -1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0041907 millennia to years.\nAnswer: 4.1907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9517187 rounded to 2 decimal places?\nAnswer: -3.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 - -204. Let n = f - 118. Let v = 11 + -22. What is the second biggest value in n, -3, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4\/8 - 843*x**3\/8 + 2475*x**2\/4 + 12*x - 3300 = 0.\nAnswer: -2, 4, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10)\/x)\/(x\/x**(-3\/7))*(x*x**(1\/2))\/x**(-2\/7) assuming x is positive.\nAnswer: x**(-149\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 659184069838 and 5.\nAnswer: 659184069843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -6*c - 8. Suppose -3*k + 2*k + 2 = -5*x, -6 = -c*x. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/3, 5.6, 2, -0.9, -0.1 in decreasing order.\nAnswer: 5.6, 14\/3, 2, -0.1, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 70 + (43 - 69).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 14 + 6 = 0. Let r be 15\/(-2)*(-4)\/3. Suppose -6*t + r = -t. What is the lowest common multiple of t and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 7*q**6\/6 - 7*q**4\/4 - 1491*q**2\/2 - 908. Find the second derivative of l(s) wrt s.\nAnswer: 140*s**3 - 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 12. Let s be y(-5). Let j = 15 - 12. Let r(i) = 5*i - 2. Let n(l) = -2*l + 1. Determine j*r(m) + s*n(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 600 and 10050.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**2*k*z**3 + 2*g**2*k*z - k*z**2 - 3*k - z**4 + 2*z wrt z.\nAnswer: 30*g**2*k*z - 2*k - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.02 (b) 180 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -14*(1 + (-6)\/4). Suppose -3*o = 4*g - 17, 0 = 4*g - 3 + 19. Suppose c = 3*l - o. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1561338 equal to -1561338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 12. Let h(a) = 45*a - 1. Is h(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Let t = 20 - 19.8. Let y = 0.1 + t. Which is the third biggest value? (a) -4 (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(12\/10) + -3)\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**2 - 3*i + 2. Let z be f(1). Let p be ((-4)\/(-3))\/(28\/z). What is the closest to 4 in p, -5, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 9, s: 2, k: 6, j: 2}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**3 - m**2 - m + 1. Let f = 5 - 3. Suppose 2*l + 2*c = 6, -l + f*c + 1 = c. List the prime factors of z(l).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270375 and 4120.\nAnswer: 2163000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1966 in -6, 2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -367*y + 10 - 360*y + 729*y. What is k(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 0*d - 4*d. Let s(l) be the first derivative of 3 + 0*l + 0*l**2 + 1\/3*l**3. Calculate s(r(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3887a (base 13) to base 8\nAnswer: -314410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 4)*(-2*w**2 + w**2 - w**2) + 0 + 0 + w**2 - 3*w**2 - 4*w**2 + 0*w**2 to i*w**2 + u + j*w and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 4:37 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 4. Let j(z) = -5*z + 5. Let k be (2 - -10)\/(-4) - (6 + 61). Let t be (-20)\/(1920\/(-36)) - k\/(-16). What is t*y(n) + 3*j(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/(15\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 3)*(-3*w - w + 3*w) - 24*w + 67 - 67 as t + l*w and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 63273664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, 24, 3, 5, 19.\nAnswer: -3, 3, 5, 12, 19, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.950106 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 + 4)*26\/10 and (-6)\/4*123\/(-18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**2 + 7*n**2 - 40*n**2 - 3 + n**2 + 3 + (3*n + 2*n - 3*n)*(n - n + n).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*b - 2*j + 6, -3*b + 1 = -5*j. Let h be ((-6)\/4)\/((-1)\/(-2)). List the prime factors of 14*-3*h\/b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -7 + 0 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12415)\/2035 - -6 - 4\/220*-10\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.46, -206.\nAnswer: -206, -0.46, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11501090 - 36*y**3 + 11501090.\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 0*c**2 + 0*c**2 - 1 + c**3. Suppose 4*i + 20 = i - 4*n, 3*n = -2*i - 15. Let p be f(i). Sort 2, 0.3, p in descending order.\nAnswer: 2, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 11 + 2 + 2*m - m + 3*m - m.\nAnswer: 2*m - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-6 + 32) - -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 980 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 199.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/2364506 and -29\/10.\nAnswer: 11822530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101124.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 8 + 22 = 0. Solve 4*c - 3*x - 3 = 5, c - m*x = -7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/3)\/((-3)\/9). Let u be (-1416)\/(-44) + j\/22. What are the prime factors of ((-42)\/(-4))\/(24\/u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-168)\/(-70)*10\/4. Suppose 2*m - 2 = r - i, 3*r - 4*m - 10 = 0. Factor -3*v**r + 4 + 4*v**2 + 2*v - 7*v.\nAnswer: (v - 4)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1. Let m(c) = 2*c - 3. Let w(a) = 2*g(a) - m(a). What is w(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.3. Let f = -13596\/6233 - -50\/23. Let v = f - -1098\/1897. Which is the closest to u? (a) 3 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 u when three letters picked without replacement from uaauugua.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24587536 to the power of 1\/2, to the nearest integer?\nAnswer: 4959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqcee. Give prob of picking 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 1. Let q(u) = -3*u**2 - 21*u - 16. Let r(t) = 2*l(t) - q(t). Let f be r(-20). What is the units digit of (75\/f)\/((-15)\/(-18) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2\/7 - 580*b\/7 - 579\/7 = 0.\nAnswer: -579, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9 + 31*v + 2 + 21*v - 7*v. Let a be d(-7). Is (4 - a) + 2 - -4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axxquqxarxxoa. Give prob of picking 1 x, 1 u, and 1 o.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22736 and 237307.\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 35*n**2 - 99*n + 91. Give h(32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, c: 5, t: 8}. Give prob of picking 3 c.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/724 and 58\/9?\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 6. Let v be q(-5). Let y be 0\/(v - (-1 - 0)). Differentiate 2*l**3 + y*l**3 - l**3 + 2 with respect to l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -216 - -199. Sort -4, f, 0, -3 in increasing order.\nAnswer: f, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/9 + 615688*p**3\/9 + 1231370*p**2\/9 + 205228*p\/3.\nAnswer: 2*p*(p + 1)**2*(p + 307842)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22434, -22433, -22432, -22431?\nAnswer: -22430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8 - 44*c + 28 + 23*c + 22*c + 19*c. Calculate the remainder when g(5) is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w**2 - 3*w - 1. Suppose -14 = n - 5*x, -1 = -4*x + 15. Suppose 3*r - 3 = -5*y - 2, -4*r - y + 7 = 0. Suppose r*l + n = -l. Determine o(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5513 * 14.\nAnswer: 77182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 26. Let d(u) = 2*u. Calculate d(m(i)).\nAnswer: 2*i - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 3*v**3 + 0*v - 3*v**3 - 3*v**3 - 2*v**3 + (2*v**2 + 16*v**2 + v**2)*(-3*v + 4*v + 0*v).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18067\/159 + 341\/3. Let k = q - 269\/106. What is the third smallest value in 2, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668 = 18*c - 47*c + 233 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/433138957 or -1?\nAnswer: 1\/433138957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4250000 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 9*o - 75. Solve 1 = 4*z + o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 14.5. Let p = -3 + f. Let o = p + -0.50012. Round o to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:02 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96452609 is divided by 415744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 66*i**3 - 100*i**2 + 8*i. Let j(n) = 44*n**3 - 67*n**2 + 5*n. Let w(y) = -8*j(y) + 5*q(y). Find the third derivative of w(r) wrt r.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 193*l + 27 = -190*l, 2*v - 18*l = -34 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -229 + 554. Let f = -323 + y. Let l = 5.8 - 6. Which is the biggest value? (a) f (b) l (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 - 12100?\nAnswer: -11541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00694875 rounded to five dps?\nAnswer: 0.00695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 12*n**2 - 895*n. Let p(z) = 5*z**2 + 449*z. Let f(s) = -11*p(s) - 6*y(s). What is the second derivative of f(o) wrt o?\nAnswer: -36*o + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by (2 + -3 - -4)*(-57)\/(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/444935 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51, 35, -7, -87, -217?\n\"Answer: -2*f**3 - f**2 + f + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/12 - 92*m + 1. Let d(r) = 4*r**3 + 4*r**2 + 3*r. What is -d(u) + 4*f(u)?\nAnswer: -4*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -477.7109 rounded to 1 dp?\nAnswer: -477.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, 0.4, 181265?\nAnswer: 181265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {o: 1, a: 5, r: 3, n: 7}?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -67. Solve u = i + 4 - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5146699079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6931 = -710*x + 264*x - 14923 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 7*q**2 - 4*q + 17. Let a be u(-7). Let z = a + -3. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78\/14 + 68\/(-119). Let b be (84\/30)\/7 - (-43)\/5. Suppose 3*z = -h + 29, 0 = 2*z - g*z + 3*h + b. Calculate the remainder when z is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/(p*p**(-5))*p**(-2\/13)\/(p*p\/((p\/(p\/(p*p*p\/(p\/p**0))))\/p)))\/(p**(-3\/43)*(p\/p**(5\/3))\/(p\/p**(1\/5))) assuming p is positive.\nAnswer: p**(28363\/8385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:05 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 950 and 0.025504229.\nAnswer: 950.025504229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11705*p + 40*p**2 + 11705*p.\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 + 55. Let j be (2\/4)\/(33\/4290). Let y = t - j. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14448806976 and -96063?\nAnswer: 14448903039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 917741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -63\/2, -2.4 in decreasing order.\nAnswer: 5, -2.4, -63\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3146166301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14.8 times 5\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-60)\/936*-6)*-5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 21*z + 1138. Let v be a(-55). Let s(j) = -2*j**3 - 32*j**2 + 35*j + 15. Determine s(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09218 - 0.00782. Which is bigger: b or 229\/26?\nAnswer: 229\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-35)*n*n\/((n*n\/n**(-2\/3))\/n))\/((n*(n\/n**8)\/n)\/n**(7\/2)) assuming n is positive.\nAnswer: n**(-145\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22972191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11723 (base 13) to base 10\nAnswer: 31970","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*x**5 - 515748*x**3 - 547*x + 1051?\nAnswer: -80*x**3 - 3094488*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/27 - -1)\/(11160\/(-167400))\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -48.55 and 0.3.\nAnswer: -48.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/20 and 3\/(3 + 21)*95?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -212 + 237.2. Let t = g + -25. Which is the smallest value? (a) -2\/11 (b) t (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -167*u + 216. Let n be g(-12). Suppose -7*k = -10*k + n. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3624913 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*s**6 - 69*s**5 - 2*s**4 + 18*s**2 + 2*s - s + 144*s**5 - 75*s**5 wrt s?\nAnswer: -5160*s**3 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/((-10)\/(-201)). Let g = t + 14. Is 0 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 10. Let t be w(4). Suppose t*k - 1733 + 251 = 0. What are the prime factors of k?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210706 is divided by 1308?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*x**2 - 135*x**2 - 13*x**2.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaiiaiiiaia. What is prob of sequence ii?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m**4 - 44*m**3 + 10*m**2 + 45*m + 4065275 with respect to m.\nAnswer: 16*m**3 - 132*m**2 + 20*m + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + sqrt(180)\/sqrt(4) + 2 + 1 + 2*sqrt(45))*-2)**2.\nAnswer: 288*sqrt(5) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16532 + 7164. Is 6*3\/(-6)*d\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1589 is divided by 1470.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7267*x - 7271*x + 0 + 3 + 4*x**2 - 3 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -24, 25, -2 in descending order.\nAnswer: 25, -2, -24, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 + 314 = 4*l. Calculate the remainder when l is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/22 - (-555)\/1155 and -91\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 9. Let k be o(-10). Is k less than -6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 4*t + 4. Let f be n(3). Let j(z) = -f - z + 0 - 1. Suppose -5*p - 10 = -3*u, -p + 3 = -4*u + 5. Calculate j(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/5)\/((-2)\/50). What is the common denominator of (-2)\/w*(-38)\/8 and -1\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149532 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p**3 + p**2 + 11561*p - 12. What is g(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 4. Let v be k(3). Let f be 115*v\/(-1) + 2. What is the highest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + k + 37 = 0, -6 - 39 = 3*f - 5*k. Let n be (4 + f\/6)*-30. Let u = n - -94. Calculate the lowest common multiple of u and 45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 12) in base 11?\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times 0.84?\nAnswer: 20.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 100 - 1\/9*z**3 + 3\/2*z**2 + 22\/3*z. Let f(p) = 0. What is p?\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -r**4 - r**2 - 19*r + 21273 wrt r.\nAnswer: -4*r**3 - 2*r - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2, -11\/4, -2\/11?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6161.3 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 4*t + 10, 39*q - 28 = 41*q + 8*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -651, -2603, -5841, -10359, -16151, -23211, -31533, -41111?\nAnswer: -51939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 7*s**2 + 5*s - 6. Let m be d(-6). Suppose m*c = 2*c - 16. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -247? (a) 0 (b) 6\/11 (c) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 13*q + 2. Let z be o(11). Let p = 20 - z. Let b be (22 - 2)\/p - -16. Solve -2*l + b - 1 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -30*j. Let v be d(4). Let n(w) = 11*w - 28. Let i be n(12). Let k be 1\/(3\/2) + i\/v. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 605 and 3795?\nAnswer: 41745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 4*b. Suppose 2*w = 4*z + 14, 4*w + 0*w = 4. Let k be s(z). Solve -k*p - 4 = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39988784 divided by 3851\nAnswer: -10384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3480 = 47*p - 27*p. Let y = p - 133. Is 41 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - -1 - (116 + -133).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 7*r + 2. Calculate l(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 9\/8*z**4 + 0*z**3 + 0*z - 3\/40*z**5 + 0 + 1\/140*z**7 - 1\/20*z**6 + z**2. Let f(k) = 0. What is k?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 249 - (168\/(-30) - (-10)\/(-25)). Let n be ((z\/(-40))\/(-17))\/(3\/2). Find p, given that 0 + 9\/4*p + n*p**2 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 2. Let l be u(-6). What is the tens digit of (21\/l)\/((-21)\/196)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(-120)\/36?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 15, -30, -135, -324?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 94*z**3 + 7*z**2 + 3*z + 10. Let l(h) = -63*h**3 - 5*h**2 - 2*h - 7. Calculate -7*l(p) - 5*n(p).\nAnswer: -29*p**3 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65, 275, 485, 695, 905, 1115?\n\"Answer: 210*p - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 4*c + c**2 - 3*c**2 + 2*c**2 - 3. Let u be t(-5). Suppose -3*m + 5*d = -21, 2*d + 12 = -u*d. Let z(l) = -l**2 + 3*l - 3. Calculate z(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1239*o**2 + 49*o + 1680. Let v(x) = 124*x**2 + 5*x + 168. Let k(i) = -5*c(i) + 49*v(i). What is the derivative of k(j) wrt j?\nAnswer: -238*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19836.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/19 + 1370*h**2\/19 + 112638*h\/19 + 904230\/19 = 0.\nAnswer: -591, -85, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 16. Suppose 51*d - 50*d - 4 = o. Let n(w) = 2*w - 15. Let x be n(d). Put 2, x, 4, -2 in increasing order.\nAnswer: x, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -67*i**5\/60 - 7*i**4\/24 - 5*i**2. Let o be c(-6). What is o rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1703 - 1699. Solve -2 = b - 2*r, 14 = -x*b + r - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*j**2 + 139*j**2 + 18*j**3 - 21*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q + 4. Let l be f(-9). Is 18 a factor of (624\/l)\/((-3)\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(2 - 1780\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17 + 1 + -4)*7. What is the greatest common divisor of 28 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 3\/(-6) + 38\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23578, 24603, 25628?\nAnswer: 26653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 264?\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 12598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/7 - 710*u + 238008\/7 = 0. What is u?\nAnswer: -2532, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -3*l**5\/20 - 2*l**4 + 9*l**3\/2 + 360*l. Solve r(m) = 0 for m.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4191312.\nAnswer: 2, 3, 29, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6))\/(2\/(-8)). Let s(y) = -y**3 + 6*y**2 - 6*y + 8. Let f be s(5). Let i(t) = -t - f - 3*t - 6*t**2 + 4*t**w + t. What is i(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2122 and 19098?\nAnswer: 19098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 542, 512, 482, 452?\n\"Answer: -30*g + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5980)\/1495*1\/(-20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 7 (b) 2\/3 (c) 255 (d) -0.289\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -11457153?\nAnswer: 22914306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -94, -3735, -0.2, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3821*-0.3.\nAnswer: 1.01463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.331 minus -0.1695?\nAnswer: 15.5005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w**3 + 204*w**2 + 25*w - 68. What is x(-29)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30036 divided by 4.\nAnswer: 7509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 3. Let l be o(-3). Suppose -b - 4*b = l. Suppose 0 = -4*d + 12, 3*d + 51 = -b*i + 2*i. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 860 = -6*v + 49*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 + 0*l**3 + l**3 + (3*l**2 + 2*l**2 - 3*l**2)*(-2*l - 5*l + 3*l) + (2*l**2 + 2*l**2 - l**2)*(-2*l - l + l).\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1253 - -1226)*5\/3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/12 - (-324)\/16. Suppose w + 3*q = -0*w + 20, 0 = w + 5*q - d. Calculate the common denominator of -75\/8 and (3\/w)\/((-18)\/(-465)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 50.\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40104, 80145, 120092, 159939, 199680, 239309?\nAnswer: 278820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11886935 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (-504)\/60)\/((-2)\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 6:22 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 12*l + 23697 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4270*u**2 + 10*u - 1. Let a(q) = -4270*q**2 - 9*q + 2. Let i(b) = -4*a(b) - 3*v(b). Let j be i(2). Let l = j + -9466. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 5. Let h be a(4). Let q = -10 + h. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15232923*f*y**2 - 24*f*y + 2079*f - y - 2 wrt y?\nAnswer: -30465846*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -2009 - -218978\/109. Let u = -415\/763 + i. What is the closest to 2\/5 in -3, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2968*q**2 + 55*q - 177. What are the prime factors of p(3)?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-1*4 - (4 + (-2 + sqrt(7))**2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/(o\/((o**(-1)\/o*o)\/o))*o)))**(2\/39)\/(o**(-9)*(o*o*o*o\/(o\/(o*o**10))*o)\/o))**(-49))**(-8\/9) assuming o is positive.\nAnswer: o**(-77224\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9023108 meters?\nAnswer: 0.0009023108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + p**2)*(-4*p + 4*p - 2*p**2)*(22 - 32 + 22) + 2*p + p**4 - 2*p.\nAnswer: -23*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -1 + 1 + (-53 + 42 - -15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 - 138*q + 1106. Give b(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 12 = 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(16)*-3).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-37)\/d*d**0 assuming d is positive.\nAnswer: d**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 + 12*s - 12. Let q(z) = -z**2. Let g(j) = -7*j**2 + j - 1. Let y(f) = -g(f) + 6*q(f). What is -a(b) - 12*y(b)?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 386918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 829613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 14*n**5 - 10*n**4 - 6178*n**3 + 4410*n**2 + 1764*n = 0.\nAnswer: -21, -2\/7, 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -43, -36, -7, 44, 117, 212?\n\"Answer: 11*q**2 - 26*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k*w**3 - 61677*k*w**2 + k*w - 3795*k + 5*w**3 + 138*w wrt w.\nAnswer: -30*k*w - 123354*k + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 78033.3l?\nAnswer: 78033300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**3 - 5*l**2 - 5*l + 2. Let h be -10 + 8 + 1 + 0. Let y(s) = s**3 - s**2. Let z(p) = h*f(p) + 3*y(p). Let d be 2 - (0 - (0 + 1)). Calculate z(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -175829.897 + 175658. Let z = r + 172. What is z rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*y**2 - 18207*y**3 - 2*y + 18208*y**3 + 7*y)*(-44 + 24*y + 44) as h + n*y**4 + a*y**3 + l*y**2 + m*y and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 241, 237, 231, 223?\n\"Answer: -o**2 - o + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 11}. Give prob of sequence ly.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - -21 - (-2917 - -33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-71 + 71 - 5*d)*(1 - 3 + 0) + (-1 + 0 + 0)*(d + d - 4*d) - d - d + 3*d)*(d - 3*d + 0*d) to i*d + o + u*d**2 and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6645?\nAnswer: 3, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 - k + 1. Let f be b(1). Suppose 2*w - 10 = -f*w. Solve -5*y + 15 = -w*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202353484*s*u - 2*s - 19165715 with respect to u.\nAnswer: -202353484*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-42)\/(-8))\/(-9*5\/15). Let l = r - -2. Which is the closest to l? (a) -0.05 (b) 1\/3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 - 22*q + 819. What is the hundreds digit of h(36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20538581, -20538580, -20538579, -20538578, -20538577?\nAnswer: -20538576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2. Let y(k) be the first derivative of k**2 + 6. Give y(i(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42, 280, 980, 2388, 4750, 8312, 13320?\n\"Answer: 41*p**3 - 15*p**2 - 4*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/12)\/((-116)\/174).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231\/33 + -8*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16938951 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 - 1 = 0. Let l be (1 - 1)\/(-5 + 7). Solve 5*h - 4*u + 11 = l, u - 14 = w*h - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4364\/4389 + 86\/627. Is t at most -25\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -24183*z**2 + 61*z. Let d(l) = -24*l. What is d(f(r))?\nAnswer: 580392*r**2 - 1464*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20338 greater than 20139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1035264811 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 14 = -2*y, f = 12*y - 18 + 68 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*(i*i**0\/i)\/i*i))\/(i**(-8)*i*i)*(i**(1\/2))**36)**(-1\/58) assuming i is positive.\nAnswer: i**(-25\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -78, -71, -62, -51?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2287\/8100 or -1?\nAnswer: -2287\/8100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*(176\/8)\/(-286)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/25, -2\/9, 2\/7, -1\/324, 2\/5, 5?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a63 (base 12) in base 8?\nAnswer: 27153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*r = j + 14672, -5*j + 3*r = 73388. Round j to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04678 + -0.34678. Let r = -2.52 - -2.5. What is the nearest to r in b, 0.3, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41881 + 3b?\nAnswer: -41842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0404 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p - 8. Solve p*w - 3*w - 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2633 is divided by 1582?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-16 - (-5535)\/345)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from bbyybbbbbbbbybbbbb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16156, 24060, 31964, 39868, 47772?\n\"Answer: 7904*j + 8252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*b = 15104 - 1982 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 - 124. Suppose g = 17*d - 5*d - 192. Solve y = 3*y - 5*p + 28, -3*y = -p + d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -2 + 174 - 4 - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*u + 2)*(1 - 1 + 2) + 2*u + 0 + 0 - 5*u + 3*u - 579 + 578 to t + o*u and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-8))\/(6\/(-264)). Solve 5 = x + 2*d, -3*x + d - 6*d + m = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 37*o + 2380 = -389 - 306 for o.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i. Let x(s) = 10*s - 8. Let f(u) = -9*u + 7. Let b(n) = -7*f(n) - 6*x(n). Determine 2*b(c) + 3*h(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**5*q**2 - 2*l**5*q - l**3 + 16*l**2*q**2 + q**2 wrt l?\nAnswer: 60*l**2*q**2 - 120*l**2*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127\/51 + 37\/17. Is z <= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 35. Solve -5*n = -h*t + 6*t + 32, 3*n + 6 = 2*t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1545*a**3 + 170*a**3 + 9787 - 9787.\nAnswer: 1715*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -19*m + 13*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 327*n**2. Let h(c) be the second derivative of -c**4\/3 + 1154*c. Give u(h(r)).\nAnswer: 5232*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/9)\/(((-6160)\/33)\/(-14)). Let l(p) be the third derivative of 1\/24*p**4 + 0*p**3 + 0 + 0*p - 1\/120*p**6 - 2*p**2 - 1\/210*p**7 + x*p**5. Factor l(o).\nAnswer: -o*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, g: 8, a: 1, w: 2, o: 2}. What is prob of sequence waoo?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - -0.1. Let r = -0.36 - -0.33. Which is the nearest to r? (a) 3\/5 (b) -2\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 192*b + 5. Let h(z) = 191*z + 2. What is 4*h(v) - 3*p(v)?\nAnswer: 188*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Suppose -k = 4, 5*z - 3*k - k - 46 = 0. Solve n + z = g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -87, 1\/6 in increasing order.\nAnswer: -87, 1\/6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 4*n**2 - 2*n + 3. Let q be (-363)\/88*(-8)\/6*2. Suppose -x = -4*t + q, x - 2*t - 11 = 6*x. What is p(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*3894\/(-1770).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*u = 59*u + 44*u - 2928. Let a(r) = 44*r**2 - 6*r + 26. Let d(m) = 9*m**2 - m + 5. Calculate u*d(v) - 3*a(v).\nAnswer: 12*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 2. Let r = v + 8. Calculate the lowest common multiple of 2 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -650485.\nAnswer: -7\/130097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 9. Suppose 5*t + i - 12 + 42 = 0, 10 = -2*i. Calculate p(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 10) to base 16.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35442708407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 45 + 9. Let a be (5\/3)\/((-10)\/(-12)). Suppose -a*o = -o - 5. Calculate the remainder when d is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, o: 2, d: 1, y: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 - 5*h**3 - h**3 + (2*h**2 - 1 + 1)*(5*h - 22 + 22) as l + f*h**3 + a*h + i*h**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 455 - -32045?\nAnswer: 32544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72937 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 6*a - 3. Suppose -3*h = -z + 12, h - 1 = -2*z + 9. Let d = z - 12. Determine j(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 36. Suppose 5*m = -i + 1, -12 = -q*i + 5*m + 5. Let d(f) = -52996*f - 24. Let n be d(i). Round n to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -2 (b) 1\/8 (c) -31 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + n - 1 = -7, 0 = y + 5*n + 8. Suppose 0 = 3*h - 4*h - y*x + 9, 5*h - 45 = 2*x. Let m(t) = -h*t + 6*t + t. Let q(p) = -13*p**2. What is q(m(j))?\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 4 + (36 - 36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -14 + 10 - 7 - 10 - 59*t. Let n be q(11). Let g = n + 2571. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 115 = -3*d, 4*d - 108*j + 110*j - 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0120552643 to six dps.\nAnswer: -0.012055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18596\/9 + 2066. Which is bigger: x or 99\/7?\nAnswer: 99\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*-2)\/(sqrt(22)\/(sqrt(11)*2) - sqrt(2)))**2 - (-5*sqrt(544)\/sqrt(2)*2)**2.\nAnswer: -24752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5\/(n**(-3)*n*n) assuming n is positive.\nAnswer: n**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*h - 3*z - 12, -5*z - 37 = -4*h. Let n be 0 - h\/(3\/20). Let s = n - -43. Calculate the remainder when s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 2*z - 4 - 6*z + 7. Let t be o(0). Solve -t*b = -j + 4 - 6, -2*j - 3*b = -5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2118 - 739 + 108)*(4*p**2 + 0*p**2 - 6*p**2).\nAnswer: -2974*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 29*n + 2228. Give z(-76).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 255290446 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*t - 5*t = 9, -3*j = 3*t + 9. Let u be 2\/4 - 7\/(-2). Suppose 24 = u*v - j. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5739 to two dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20798, 20818, 20830, 20834, 20830, 20818, 20798?\nAnswer: 20770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-3 - (5 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35984762318 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times -139?\nAnswer: 2780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-147)\/(-2)*(-23)\/((-115)\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -8*h**5 - 5*h**4 - h**3 - 46*h**2. Let s(f) = 9*f**5 + 6*f**4 + f**3 + 46*f**2. Let o(x) = 5*s(x) + 6*t(x). Find the third derivative of o(v) wrt v.\nAnswer: -180*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*f + 6*f - 6*f)*(-2*f + 2*f + 1 + f).\nAnswer: -11*f**2 - 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-520)\/(-39) - 11)*4\/(-21).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110546810 divided by -1133?\nAnswer: 97570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1057026 litres?\nAnswer: 105.7026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*m + 28, z = 5*m + 10 + 15. Suppose z*i - 318 = -4*n, -3*i - 2*n = -32 - 158. Let r = 92 - i. What is the highest common divisor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + 56472723581609.\nAnswer: 56472723581608.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1122 - 572. Suppose 12*c + 26 = 25*c. Calculate the common denominator of 37\/12 and 2 - (-215)\/g - c*1.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: c00b97 (base 14) to base 9\nAnswer: 13130180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 9*l = y - 71, 2*y - 21 = -7*l + 52 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/200*-10 - -3*4\/(-12)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**5\/9 + 4331*a**4\/9 - 517195*a**3\/9 + 1729745*a**2 - 3289016*a + 1616256 = 0.\nAnswer: 1, 48, 72, 4209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -5175524?\nAnswer: -5175526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((1 - 0) + (-18 - -15))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*11*(-3)\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/2*(-132)\/30. Suppose -5*r - 3*s + 9 = 0, -5*r - s + d = s. Solve -r*x - 11 = -m, 5*x = m + m - 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 5 - 3)*(-2 + 0 + 4) + 6 - 43 - 36)*(0*v - 4*v + 2*v)*(5*v**2 - v**2 - 2*v**2) to y*v**2 + m*v + b + q*v**3 and give q.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243254750.\nAnswer: 2, 3, 5, 1657673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 12*l + 11. Suppose 2*r - 33 = -5. Let d(u) = -2*u**2 + 36*u - 34. Let h(a) = r*q(a) + 5*d(a). Find s, given that h(s) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109479.\nAnswer: 3, 36493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-2 - -2) + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*4*-1)\/(sqrt(32)\/sqrt(4)*-6)*-5*4.\nAnswer: -40*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**5\/20 + n**4\/6 - 5*n**3\/6 + 7*n**2\/2 + 573*n - 1. Calculate y(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 36 = -z - t, -4*t + 9 = z. Let k = 9 - 10. Let q = 5 - k. What is the lowest common multiple of q and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*z + 941 - 2409 - 2152 = 0 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqwx when four letters picked without replacement from {x: 3, w: 5, q: 4, b: 7}?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 88056?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c + 2689. Let m = c + 18789\/7. Find the common denominator of m and (-3)\/(-15) - (-306)\/20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 351*z - 364*z + 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -215 - -212. What is the smallest value in 0, 1, p, 9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1332 is divided by 103.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3847 + 4604. What are the prime factors of g?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50229743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:58 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q. Suppose 0*a + a + 3*b = 2, -2*a = 2*b + 16. Let n be (4200\/52)\/5 + 2\/a. Let f(p) = -11*p + n*p + p. What is f(z(r))?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/11, 28\/813, 0.3, -37?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m + 104. Let t be q(-11). Suppose 0*a - 2920 = -t*u + a, 0 = -2*u + a + 1171. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 11) to base 3.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 47*p**2 + 80*p**2 + 162*p**2)*(2*p**3 + 0*p**3 - p**3).\nAnswer: 195*p**5 + 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a*(a\/a**(-1\/7))\/a)))**8\/(a**(2\/11)*a\/(a\/((a*a*a**(-4))\/a*a))))**(34\/7))**40 assuming a is positive.\nAnswer: a**(1147840\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -129365 divided by -1?\nAnswer: 129365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 93 = -3*t - 102, 0 = -2*n + 3*t + 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-218)\/(-2289)*(81\/6)\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 4) + 1*-1. Suppose -2*i - 565 - 255 = s. Round i to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*u - 58*u + 61*u + (-4*u + 2*u + 3*u)*(1 - 3 + 3).\nAnswer: 50*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 9*l**5\/5 - 24*l**4 + 41*l**3 + 60*l**2 - 108*l + 157. Determine j so that f(j) = 0.\nAnswer: -1, 2\/3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -520 - -536. Calculate the lowest common multiple of d and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2086 = -3*p - 5*d, 3*p - d + 1386 = 5*p. Suppose 2*y = p - 48. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 10*a**2 + 0*a**6 + 0*a**3 + 0 + 4\/15*a**5 - 1\/105*a**7 + 0*a**4 + 0*a. What is the third derivative of q(u) wrt u?\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 7*q + 0*q)*(-823 + 823 - 75*q) to the form o*q + m + a*q**2 and give a.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 13*p**2 + 5*p - 21. Calculate the lowest common multiple of o(13) and 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77196702 is divided by 416?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -51. Find the first derivative of -16 - 10*u**4 + 4*u**3 + 26 - 4*u**g wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 461348886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/8*(-3508)\/6. Suppose 4*o = -m + i, -4*m + 0*o - 3*o + 3547 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 + 117. Let o = 30 + y. Let n = o - 64. What is the remainder when 36 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 30*r**2 - 60*r. Let s(g) = g**2 - g. What is 3*b(j) - 180*s(j)?\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 105*d + 16 - 6*d + 3*d + d + (0 - 9 + 8)*(-4*d + 0*d + 5*d) as x*d + l and give x.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d + 10. Let n be t(-5). Let y = n - -51. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6259755 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a - 4*s + 52 = 0, -2*s = 10. Calculate the least common multiple of a and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 12:03 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52243523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-14556.\nAnswer: -1455.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + 4*q = 19*k + 231, 192 = -4*k - 4*q. What is the units digit of ((-1756)\/10)\/(k\/235)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 2*f**2 + f + 1. Calculate l(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 77?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1129*h + 13554. Let a be x(12). Which is smaller: a or 461?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 12:29 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*c - 16, 0 = 5*f - 7*f - c + 4. Let w(u) = 4*u - 2*u + 3*u - f*u. Let d(b) be the third derivative of -b**4\/24 + 2*b**2. What is d(w(a))?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21668 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 14*b + 8. What is the tens digit of z(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 6*n + 20. Calculate the remainder when (24\/(-36))\/(n\/(-138)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**6\/10 + 6*i**5 + 41*i**4\/4 - 24*i + 4. Suppose s(m) = 0. What is m?\nAnswer: -1, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25447305\/(-1340260) - (-1)\/((-1)\/(-19)).\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 901*b**2*c**2*q**3 - 484*b**2*c**2*q + b**2*c*q**3 - b**2*c*q**2 + 10*b**2*q + 2*b**2 + 291*b*c*q**3 - b wrt c.\nAnswer: 1802*b**2*q**3 - 968*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16432 by 4108.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1637 - 3\/((-3)\/3). Let t = 838 + x. Let g = -465 - t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i**2 + i**4 + 8*i**2)*(-2 + 4 - 1)*(-15 - 11 + 3)*(-2 + 3 - 3).\nAnswer: 46*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*g**3 - 31*a**2*g**2 + 610*a**2*g + 5*a**2 - 10716*a*g**3 - 17*g**3 wrt a.\nAnswer: 4*g**3 - 62*g**2 + 1220*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134880999 greater than 134880996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11103 - -203?\nAnswer: 11306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (-97 + 122 - 81)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, -2, 11, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 261*g**5 - 2*g**2 - 225*g**5 - g**2 wrt g?\nAnswer: 2160*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o\/o**(-1\/3)*o)**(10\/19)\/(o**(3\/2))**(2\/53) assuming o is positive.\nAnswer: o**(8309\/3021)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -3 (b) -0.2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/17, 1, 0, 3592, 2?\nAnswer: 3592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/24)*s*s*s**(6\/7)*s*s*s assuming s is positive.\nAnswer: s**(991\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4046050 less than or equal to -4046050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7296 and 0.84.\nAnswer: -6128.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2504)\/288 - (-2)\/8. Is i at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d + 124 = 0. Suppose 4*r + 7 = d. Suppose 12 = -t - 4*a, -5*t = -r*t + 4*a + 20. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.055?\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 13*g**8\/112 - 8*g**5\/15 - g**4\/8 - 15*g**2 - 3*g. Find the third derivative of o(v) wrt v.\nAnswer: 2340*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 964, 196, -570, -1334, -2096, -2856?\n\"Answer: t**2 - 771*t + 1734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/7)*p)**(-8))**(-2\/63))**(18\/7) assuming p is positive.\nAnswer: p**(512\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -645*y**2 + 6*y. Let b(j) = -j**2 - j. Let x(z) = -5*b(z) - q(z). Is x(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1923*l - 2 + 1923*l - 10*l**2)*(-3*l + l - l).\nAnswer: 30*l**3 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -175*u**2 + 21. Let z(y) = 35*y**2 - 4. What is -4*k(j) - 21*z(j)?\nAnswer: -35*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 5:59 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1360796*c**2 - 4082375*c**2 + 1360785*c**2 + 1360795*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22584566.832 and 103.9.\nAnswer: 22584670.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:45 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 578459027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 15) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233320 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 342969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(99) + -3) + sqrt(99) - (sqrt(99) + (sqrt(99) - (1 + sqrt(99) + 1)) + sqrt(99)))**2.\nAnswer: -312*sqrt(11) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*119.\nAnswer: -11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2 - 65564*p + 131144 = 0. What is p?\nAnswer: -16393, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -35*g - 32. Let f be p(-1). Let x(n) = -n**2 + 6*n - 5. Let b be x(f). Solve 2*l + 4 + 8 = b*a, -17 = 4*l - a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73771 divided by -6?\nAnswer: 73771\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 136894072128491?\nAnswer: 136894072128490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 + 1 = 0. Suppose -12*m = -m + 11. What is the units digit of (k - -3)\/(3 + m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/7 - 21946*b\/7 = 0. Calculate b.\nAnswer: 0, 10973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w + 7*w - 2*w to the form b + l*w and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/7 + 441*y**2 - 27716*y\/7 + 6156 = 0.\nAnswer: 2, 7, 3078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242473, 242443, 242387, 242293, 242149, 241943?\nAnswer: 241663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.419 * 25.65\nAnswer: 87.69735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2996372 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 833658.04 times 5?\nAnswer: 4168290.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -435\/2, 0.5, -4 in increasing order.\nAnswer: -435\/2, -4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -73*b. Let k(i) = 29*i. Let s(t) = 5*k(t) + 2*y(t). Let w(u) = u + 1. Calculate 3*s(n) - w(n).\nAnswer: -4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, j: 5}. Give prob of sequence jcj.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, h: 1, y: 1, p: 3, l: 2, q: 3}. What is prob of sequence qpy?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*v**3 - 24 - 20 - 56*v - 28*v + 42.\nAnswer: -62*v**3 - 84*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 + -64. Let s = h + -107. Suppose -2*w + 13 = s*r - 0*w, -2*w = 2. Solve -r = -m - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2552015371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/24 + 74\/(-12). Let z = -17 - k. Let p = -8 - z. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1498b (base 13) to base 12.\nAnswer: -1a689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 2:47 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8075*q. Let k(r) = -2*r. Give x(k(i)).\nAnswer: -16150*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*t + t**2 - 366*t - 4*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, q: 1, t: 2, g: 9}. What is prob of sequence zgzg?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -14. Suppose 2*t = 5*g - 13, 5*g + 3*t - r = 15. Suppose 4*x + g*p = 57 + 13, -2*p = -4*x + 80. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -22?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 133 = -3*h + r, 22*h + 10*h = -r + 1317 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5831 + -5833. Let w = 611 + -613.97. Let u = w + -0.03. Sort 1, 2\/5, r, u in increasing order.\nAnswer: u, r, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*j - 2*o, -2*j + 3*o - 10*o = -204 + 253 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 21*i**2 + 53273*i - 904493. What is h(17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10) + (-116)\/(-20) - 1. Suppose -2*o = -f*o + j + 120, 0 = 4*o + 3*j - 160. List the prime factors of (-3*(-4)\/8)\/(3\/o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 + 5*u**2 + 28*u + 291. What is a(-6)?\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.481788324 to four decimal places.\nAnswer: 0.4818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1426, 1437, 1462, 1507, 1578, 1681, 1822, 2007?\n\"Answer: j**3 + j**2 + j + 1423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -169 (base 16) to base 5\nAnswer: -2421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4280 + 4013 + 267 + 14*z**3 + 4*z - 4*z.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 331*m**3 - 345*m**3 - 1.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 20*w = -2*p + 23*w + 24, -10*p + 17*p + w + 24 = 4*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8*q + 6. Let m be 14 + -7 + 2*-1. Suppose m*c + 13 = 88. Let k(h) = -c*h + 8 + 6*h - 1. Calculate -6*k(d) + 7*t(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 363045563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 157425859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/7)\/k*k**5)**(-26)\/(k**1\/(k*k**(-3\/4)*k))**(2\/73) assuming k is positive.\nAnswer: k**(-91097\/1022)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9908 = 661*k - 14810 + 3873 + 2337 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 35, 81, 145?\n\"Answer: 9*p**2 + p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 3:48 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13363 or 1?\nAnswer: -2\/13363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 9*m**2 + 11*m + 2. Suppose -3*z - 21 = -k, -2*z + z - 5 = 0. Let f be 40\/k*6\/4. Let v be n(f). Solve -s + 2 = -2*s + q, v = -s - 4*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 5*h**4\/4 + h**3\/6 + 13*h**2\/2 + 137*h. What is the second derivative of o(f) wrt f?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1805, 123, 78.\nAnswer: -1805, 78, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 6, p: 1, h: 2, y: 1}. What is prob of sequence rpz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 415*r**3 + 3070*r**2 - 7140*r + 5400.\nAnswer: -5*(r - 3)*(r - 2)**2*(r + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 459649 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8882 - -8885. Solve -3*d - 2 - 4 = -z*f, 18 = -3*f - 3*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x + 0*s = s - 1, 5*s + 30 = 4*x + 35 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1858 - 812. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, i: 5, m: 2, r: 3, z: 2, f: 1}. What is prob of picking 2 i, 1 s, and 1 r?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 9*a**3 - 16*a**2 + 37*a - 34. Determine t(4).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 0*s + 2*j - 8, 4*s + 4*j = 16. Solve s = g - 0*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2989, 5960, 8909, 11824, 14693, 17504?\n\"Answer: -2*m**3 + m**2 + 2982*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 58 = -5*n. Find the common denominator of (-922)\/(-180) - (-2)\/n and 131\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4281802 micrograms to nanograms.\nAnswer: 428.1802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**3\/4 - 41*f**2\/4 + 59*f\/4 - 15\/4 = 0 for f.\nAnswer: -15, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212 + 426. Let v = x - 209. Solve -l = v*l - 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5385744 and 13464360.\nAnswer: 26928720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -0.15.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 - w + 1. Let s be u(1). Let k be 6 + (s - 4\/(-1)). Which is smaller: k or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*y - 22, -2*y = -3*y + 3*l + 16. Suppose 0 = -4*q - w + 7, y + 2 = 2*q + w. Which is greater: q or 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 14. Let i(r) be the third derivative of r**6\/120 + 7*r**5\/60 + 7*r**4\/24 + 3*r**3\/2 - 5*r**2. Give i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77203590?\nAnswer: 2, 3, 5, 2573453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1)*k)\/k*k**(-8\/5)\/k)\/(k\/(k\/(k*(k**(7\/3)*k)\/k))*k\/(k\/k**(-11\/3))) assuming k is positive.\nAnswer: k**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmmwmmmwmjwjm. What is prob of picking 2 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62673606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etts when four letters picked without replacement from {u: 10, s: 2, e: 1, t: 4}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 65*x + 0 - 3*x**2 + 19\/12*x**4 + 0*x**3. What is the derivative of l(z) wrt z?\nAnswer: 38*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.1 * 300\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssz when three letters picked without replacement from zpxxzzsps.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -34*n - 19. Is s(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 = -6*k + 2*k, 2*k + 2*x - 10 = 0. Let j be ((-4)\/8)\/((1\/(-154))\/k). Suppose 2*l + j = 2*a + 23, a = -5*l + 15. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -140 and -18.2?\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 7*h**5 + 17 - 40*h - 75*h**2 + 75\/2*h**4 + 5\/3*h**3. Solve y(x) = 0.\nAnswer: -4, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 265342 and 265341 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 10*v**2 - 7*v + 2. Let b be d(-7). Let i be 4\/6 - b\/(-9). Let o = i - -23. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 184 - 190. Let x(l) = 2*l**2 + 3*l + 34. List the prime factors of x(b).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 337*k**2 - 333*k - 239. Calculate d(336).\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277229 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 7*a**2 - 16*a - 16. Let d be r(-4). Put 16, d, -16, 4 in decreasing order.\nAnswer: 16, 4, d, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 438 + -438.0307. Let f = p + 0.03069215. What is f rounded to seven dps?\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 6, -2, -8.3, -5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 13*l + 71. Let b(j) = 24*j + 130. Let s(c) = -6*b(c) + 11*o(c). Let f(r) = -r**2 + r - 5. Let q(p) = p + 4. Let a be q(-7). Determine a*s(d) - f(d).\nAnswer: d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -3.8. Let c = 15.77 + 0.23. Let y = c + -12. Sort y, s, 0.4.\nAnswer: 0.4, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.03 + 9. Which is the smallest value? (a) w (b) 1\/2 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 280 = -2*v. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j - 182 + 1377 - 105*j**2 + 1075 with respect to j.\nAnswer: -210*j - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(63)\/(sqrt(9) + (sqrt(9) - (sqrt(36) - sqrt(9)))))*-4)\/((sqrt(33) - (sqrt(33) + sqrt(297)\/(2*sqrt(9))))\/(sqrt(768) - sqrt(48))).\nAnswer: 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from vbcyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -94 + 92.56. Let q = c - 20.56. What is the nearest to 0.2 in -3, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 3*j - 3*j + (0 + 2*j + 0)*(-4218*j - 369 - 4224*j + 8445*j).\nAnswer: 7*j**2 - 738*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061952 to the power of 1\/2, to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4*h + 40, -9*h = 5*n - 14*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 270*w**2 - 10918*w + 30029. Calculate o(-306).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*x - 30 = 0, -6*x - 20 = -2*v - 2*x. Calculate the remainder when 27 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298054427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -510 - -524. Sort q, 4, -11 in decreasing order.\nAnswer: q, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 129739 (c) -166\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(108) - (sqrt(108) - -2*sqrt(108))*2))\/(sqrt(4) + sqrt(40)\/sqrt(640) - (sqrt(576) + sqrt(576) + 3*sqrt(576) + sqrt(576) - sqrt(576))).\nAnswer: -200*sqrt(3)\/157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.529649 and 0.4?\nAnswer: 0.2118596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 18*v**2 - 74*v - 17. Give l(10).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 7:17 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23125\/2 - 11565. Which is the smallest value? (a) -1.03 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2291 by -6.\nAnswer: -2291\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uulvupuk. Give prob of picking 1 u and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 + 6 + -10 + (-142)\/24 and 5\/171.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + 87. Suppose 35 = -3*f - h. Is ((-211)\/(-3))\/((-19)\/f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-42)\/((-150)\/40 - 6\/(-2)) and 22.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 19. Find the second derivative of 4*l**3 - 3*l**i - l**3 + 5*l - 2*l**4 wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 4*o**2 + 4*o + 2. Let u be d(-6). Find the common denominator of 1298\/11*(5 - (-495)\/(-100)) and (-1)\/((-18)\/u + 1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 483343 + -483340. Factor -8\/15*a**2 - 2\/15*a**y + 32\/15 + 8\/15*a.\nAnswer: -2*(a - 2)*(a + 2)*(a + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328965 a multiple of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 780923803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*o + 15 - 15.\nAnswer: -73*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1243021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 3)**2 - ((sqrt(5) + -2)*2)**2) + 0 + (sqrt(45) + -3 + -2)**2*4.\nAnswer: -80*sqrt(5) + 333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 9*b**2 + 8*b + 5. Let o be t(-8). Suppose -o*y + 127 = -33. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00127835732 to 7 decimal places.\nAnswer: -0.0012784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4784738?\nAnswer: 2, 7, 67, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6505 and 4119690.\nAnswer: 5359716690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + z**2)*(2 - 2 + z**2) + 3*z**4 + z - z + z**4 + 2*z**4 - z**4 + (z**2 - 4*z**2 + 2*z**2)*(0*z**2 + 3*z**2 - 4*z**2) + z**4 + 0*z**2 + 0*z**2.\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29174 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 0.02860638.\nAnswer: 0.0020024466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-60)\/(-36))\/(10\/12). Let v be (8 - 3) + -2 + 1. Suppose 2*t + 3*f - 4 = -f, -2*t = 3*f - v. Solve 0 = w*u - 4, -g - t*u = -3 - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.41 and 0.2408.\nAnswer: 0.6508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 7. Let n(v) = -v - 6. Let q(i) = -3*n(i) + 2*s(i). Suppose -19 + 10 = 167*c - 9. Give q(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2017, 2013, 2007, 1999, 1989, 1977?\n\"Answer: -s**2 - s + 2019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + 2*i**5 - 2*i**5 + 13*i**2 - 13*i**2 + 2*i**5 + (-2*i**5 - 3*i**5 + 4*i**5)*(-1 + 0 + 0) + (2 - 2 - 2*i)*(3*i**4 - 2*i**4 - 5*i**4).\nAnswer: 12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 20064.97327.\nAnswer: 20064.97327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/136 and -61\/44?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 0 + -470 + 437?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*j + 7 = 0, 0*j + 24 = a + 4*j. Let l(r) be the second derivative of -1\/6*r**a + r**2 + 0 + 12*r + 1\/6*r**3. What is l(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239998 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/3 of a day?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -173*c**5\/10 + 20*c**3\/3 - 8*c**2 - 578*c - 2. Find the second derivative of m(t) wrt t.\nAnswer: -2076*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -168 - -196. Let w = -484 - -1128. Calculate the greatest common divisor of a and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133797 less than 133796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -273188*h*s**3 + 6*s**3 - 2255*s**2 - 2 wrt h.\nAnswer: -273188*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287, 2593, 8779, 20765, 40471?\nAnswer: 69817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooaak. What is prob of picking 1 k, 1 a, and 2 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/169 - 10994\/507. Suppose -100 = -24*v + 29*v. Calculate the common denominator of v and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5566 - 5575. Let d(y) = 14*y + 129. Give d(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3297*t**4 + 5569493 - 5569493 + (-t + t - t**3)*(-3*t + 0*t + 2*t).\nAnswer: -3296*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -58138 divided by -141\nAnswer: 58138\/141","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 43 + 10 = 0. Suppose -k - 1 = 2*q + 2*k, 5*q + 3*k - 11 = 0. Solve -q*h + 3*b = y, 4*h - 25 = -2*b - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 4*x - 2*x)*(2*x + 2 - 2) + (-3*x**2 + x**2 + x**2)*(-4 + 0 - 4) + 2*x**2 - 2*x + 2*x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 60 = -10*k + 7*k + 54, -2*k + x - 11 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v**2. Let k(o) = 5*o**2. Let y(g) = 10*k(g) - 4*r(g). Let a(c) = -c**2. Let b(j) = -5*a(j) - y(j). Let i(t) = -4*t**2. Calculate b(i(q)).\nAnswer: -80*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.0793?\nAnswer: -0.03172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 17*m**4\/2 - m**3\/3 + m + 1. Let k = 38 + -37. Is s(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/11403880 and -13\/19180.\nAnswer: 79827160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/4*(-12)\/1380)\/1*-4.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s + 23. Let g(q) = -q**2 + 5*q. Let w be g(4). Let x(m) = -14*m - 47. Let d(t) = w*x(t) + 9*c(t). Let z(p) = -3*p. Determine z(d(o)).\nAnswer: 6*o - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104000 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + 1 + (-2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*l + 97 = -26933 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 19*r**2 + 2*r - 36. Let h(g) = 20*g**2 + g - 36. Give -4*h(y) + 3*q(y).\nAnswer: -23*y**2 + 2*y + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 6, 4*n - 3 = -n - m. Let a(p) = 2*p**2. Let v be a(n). Let l(c) = 2*c**2 - 9*c + 1. Let j(y) = -y**2 + 4*y. Calculate v*l(q) + 5*j(q).\nAnswer: -q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250)\/375*3\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllll. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.77 + -4.7699649. Round u to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 146 - 35773?\nAnswer: -35625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2699 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g + 6. Let f(t) be the third derivative of -15*t**4\/8 - 25*t**3\/6 + 7*t**2. Calculate 25*b(l) + 6*f(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -18. Let n = -11.00044 - t. What is n rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) 272 (c) -6\/23 (d) 0.3 (e) 5 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23\/4 - 12\/16. Suppose 0 = -z + 85 + 2. Let o = z - v. Calculate the remainder when o is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6122, 12272, 18422, 24572?\n\"Answer: 6150*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 32753147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 28*s**2 + 8*s + 5. Let z be d(12). Let y be (2\/(-6))\/(z\/1140). Factor -1\/5*b**3 - 8\/5 + y*b + 2\/5*b**2.\nAnswer: -(b - 2)**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 + 14\/(-12). Let j = 112.979 + -113. Let v = j + 0.121. Which is the smallest value? (a) 11 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 55*z**2 - z - 85. Let q(s) be the first derivative of 2*s**3 - s - 255. Let t(i) = j(i) - 4*q(i). What is the derivative of t(a) wrt a?\nAnswer: 62*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137304379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Let c be (-16 + 17)*(-1)\/(-1). What is the nearest to 1 in 4, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 9:50 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 13*w**2 + 24*w - 25. Calculate a(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - 92. Let v be (d\/20)\/(3 - (-64)\/(-20)). Suppose -l + 0 - 4 = 0, -v*n - 4*l = 69616. What is n rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -75, 172, 419?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, 1776.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/46590 and -44\/284199.\nAnswer: 2841990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3586061\/104 + 34482. What is the common denominator of b and -49\/24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = -3*h + 5*t + 15, 2*h - 5*t = -15. Suppose 3 = -3*n, 0 = 3*u - 2*n - 12 + 1. Solve h = -3*m + 2*w + 2*w + 23, -u*m + 17 = -w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from gqfgffgggagfigg.\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 34.064. Let j = w - 0.036. What is the closest to j in 5, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -51 - -10) + -1?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + -0.2. Put -0.5, -0.1, y in decreasing order.\nAnswer: -0.1, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -25. Let g(q) = -q + q + q**3 + q**2. Let j(b) = -b**5 + 2*b**4 + 8*b**3 + 2*b**2 - b + 2. Let n(c) = s*j(c) + 6*g(c). Factor n(o).\nAnswer: (o - 2)*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 c when three letters picked without replacement from czeecetcczccecze.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 63 + 33 = 0. Let v be (-4)\/o - 5\/(75\/(-36)). Find g, given that -1\/2*g**5 + g**3 - g**4 + 4*g**v + 1 + 7\/2*g = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18\/23 (b) -7 (c) 3\/4 (d) -9941 (e) -0.4 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19.66874 * -0.86\nAnswer: -16.9151164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -141) + -169 - 53?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3796 + -3778. Solve 264 = -j*b - 26*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 3 + 18\/3. Suppose 5*t = u*r + 105, -5*r + 50 + 29 = 3*t. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = 0, -4*n - 7 = 3*p - 3*n. Let d(m) = -3*m - 3. Let v be d(p). Solve -v*q + q = 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17249246*c**3*m + 8086261*c**3 - 2*c**2 wrt m.\nAnswer: -17249246*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -95\/3. Suppose -2*u - 4 = -2*s - 0*u, -5*s - 18 = 2*u. Sort 0.3, s, o.\nAnswer: s, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 316945946.\nAnswer: 316945946.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.718 + -3.718. What is the third biggest value in 4, p, 44\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7 = 13. Let o(i) = -6*i - 5. Let p be o(-3). Let l = 8 + p. Are l and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -1 - (-1 + 66). Let h be r\/(-4)*2\/3. Let b = h + -8. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3228606 to the nearest integer?\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 - 30*w + 16. Let a be p(10). Let g = a - 119. What is the nearest to 4 in 2, 2\/7, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/5 or -3208589?\nAnswer: -3208589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150812653 is divided by 37703159?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2196852*l**2 - 627280*l + 112.\nAnswer: -4*(7*l + 2)*(78459*l - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 13*m**2 + 1075*m - 9662. What is n(9)?\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9634475 divided by 385379\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1793, -1781, -1753, -1703, -1625, -1513, -1361, -1163?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = -0, -124 = -4*b - 4*s. Suppose 7*x + 216 = 15*x. Suppose -b*p = -x*p - 157. Calculate the remainder when p is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107 and 3.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 326*n + 1188. What is m(-7)?\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**3 - 477*c**2 - 9828*c - 13689.\nAnswer: -3*(c + 39)**2*(2*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 1. Let n(t) = -t + 4 + 0*t + 2. Let l be n(4). Give q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**(-3\/4)*h)\/h)\/h*h\/(h*h**(-2\/15))*h)**30 assuming h is positive.\nAnswer: h**(173\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 15416.10146319?\nAnswer: 15420.10146319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w + 43. Let r be c(-11). Let l(u) = 4*u**2 - 61. Let s be l(-4). Solve -r + 15 = -s*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352, -397, -464, -553, -664, -797, -952?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54921*m**2\/4 + 27465*m\/2 - 9\/4.\nAnswer: -3*(m - 1)*(18307*m - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010022 + 1222?\nAnswer: 10012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 22 = 5*m + 3, -b - 19 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + 2*(4 + -6*(-1 + sqrt(468))*-3) + 2)**2 + 3.\nAnswer: -10368*sqrt(13) + 607112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqppqpqpqqphppb. Give prob of picking 2 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1573) + sqrt(1573))*-6)**2 + sqrt(325) + (sqrt(325) - (2 + sqrt(325) + 2)).\nAnswer: -6331*sqrt(13) + 227084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 60, 4, 550\/31, 0.03, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/(56\/(-112)). Let j = 0.53 + -0.4. Which is bigger: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*n**2 + 1\/2*n + 1\/4*n**3 + 0.\nAnswer: n*(n + 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -3\/7, 49\/2?\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30571, -35736, -40899, -46060, -51219, -56376, -61531?\nAnswer: -66684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f = 0, 3*f = 3*t - 774. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2550)\/858 + 3 + (-2)\/(-13). Is -1.9 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2 and -11\/1173.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 80897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.083 + -2689505146.\nAnswer: -2689505145.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*f**2 + 3*f**2 + 21*f**2 - 37*f**2.\nAnswer: -55*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)*u)**(-24)\/(u**(-2\/63))**(-4\/11) assuming u is positive.\nAnswer: u**(-3056\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {f: 4, s: 1, q: 1, u: 2, x: 3, c: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a63b1 (base 13) in base 14?\nAnswer: 13661a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = p - 2*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 3*y = -3*x - 19, 0 = -2*y - 10. Let i(c) = 9*c - 4. Let h be i(-4). Let n be 4\/(-10) - 1\/h. Are n and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 35*o + 18. Let r be f(34). Round r to the nearest one hundred.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -4 (c) -0.091\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.1095 to two decimal places.\nAnswer: 6.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.55 - -28.7. Let f = 3.55 - h. What is the nearest to 0 in f, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 - d - 4. Let g be u(-4). Let s = g + -21. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729643.\nAnswer: 729643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) -2\/9 (c) 15 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 d when four letters picked without replacement from mddddm.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18, -0.1, -1002, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -10. Let l = -9 - r. Let b = l + 39. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6))\/(2\/30). Suppose -w*s + 98 = -127. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1552, 183, 5 in decreasing order.\nAnswer: 183, 5, -1552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1664, 1698, 1750, 1826, 1932, 2074?\nAnswer: 2258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*o**4 - 199*o wrt o.\nAnswer: -1176*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 + -0.05362?\nAnswer: 0.03638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - 2*sqrt(143))*5)\/(sqrt(55)\/(-3*sqrt(5))) + ((-4*(1*sqrt(156) + sqrt(156)) - sqrt(156)) + sqrt(156))\/(sqrt(1728)*-2).\nAnswer: 46*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 8:44 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 - 4*s + 60*s**3 + 4*s.\nAnswer: 60*s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222499?\nAnswer: 222499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 7*l + 30 = 4*l, 40 = -p - 4*l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 798554122 to the power of 1\/2, to the nearest integer?\nAnswer: 28259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1695018.\nAnswer: 2, 3, 13, 31, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 83 = -87 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*l**2 - 843*l**2 + 284*l**2 + 304*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13583.2 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -2 (c) -0.09 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -19. Suppose 3*v = -3*w - 0*v + 63, 0 = -2*w + 3*v + 42. What is the remainder when w is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 215 + -202. Suppose 3*z - j = -25. Which is the closest to 0.1? (a) 1 (b) z (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccdc when four letters picked without replacement from {c: 11, d: 8, b: 1}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78\/361 - 17504\/2527. What is the nearest to -14 in n, 0, -3, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-14)\/(-252)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 45*z. Let x(b) = -15*b + 5. Let w(t) = -7*t + 3. Let q(k) = -5*w(k) + 3*x(k). Give g(q(a)).\nAnswer: -450*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -109490224 divided by 1028\nAnswer: -106508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/(-78)*9\/30?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 9. Let x = -3 + t. Which is bigger: -3\/8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 5 - 47. Solve 2*o + 10 = -2*f, -f + 5*o = -4*f - k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 2*l**2 + 2*l**2)*(3 + 7 - 35) + 0*l**3 + 3*l**3 - 2*l**3 + (-2 - 2 + 6)*(4*l**2 - 4*l**2 - 2*l**3).\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 11 - -6) + 3 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqp when three letters picked without replacement from {q: 2, p: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s - 110 = -14*s + 324 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97546293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 7*k**2 - 97*k + 654. Calculate d(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 - 132. Suppose 0 = -5*k + 3*y + 2425, -939 = 5*k - 7*k - 5*y. Let j = k + -458. What is the remainder when u is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -14168380?\nAnswer: -5667352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1652 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**6\/30 + r**5\/10 + r**4\/12 - 24*r + 23. Let a(b) be the first derivative of p(b). Determine o, given that a(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507210 = -18*m - 506724 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -717 - -764. Suppose 5*d - 305 = 80. Let n = d - f. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from dzgagggorgadagggdg.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*g - 116*g + 62617 - 15367. What is the remainder when g is divided by 121?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o - 5*o + 18*o - 6*o in the form l + j*o and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124123900 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - -12. Let x = -152 + q. Let z = -114.99999941 - x. What is z rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 3*u + 1. Let s be a(5). Let y be s\/(-15) + (-9)\/15. Suppose -2*q = -l - 8, -q + 4*q + 4*l = 1. Solve 0 = -q*j - y*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**4\/4 + c**3\/2 + 2*c. Let z(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 18, 78, 206, 426, 762, 1238?\nAnswer: 1878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374917 greater than or equal to -134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 + 133. Let r be 95\/(-100) + 1\/5. Let f = 3.4 + -3. Sort r, c, f in ascending order.\nAnswer: r, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 20*k - 1007. Let s(i) = 2*i**3 + 32*i - 1510. Determine 5*s(r) - 8*t(r).\nAnswer: 2*r**3 + 506","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**5 - 2*s**3 - 396306*s**2 + 7994979*s wrt s.\nAnswer: -60*s**3 - 12*s - 792612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1320*a - 1896*a - 682*a to o + s*a and give s.\nAnswer: -3898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r + 0*r - 2*r + (-2*r - r + r)*(-3 + 4 + 1))*(446 - 1224 - 139 - 3961 - 267) to l*r + a and give l.\nAnswer: 56595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-1 + -22 + -4) - -24?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2521, 8165, 17571, 30739?\n\"Answer: 1881*y**2 + y + 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 609864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 883969 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6161 (b) 7975 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22692911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 162 - 582. Let x = y - -416. Which is the third biggest value? (a) -1\/4 (b) x (c) -0.97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*q + 13 = 150*q - m, q - 4*m = 37 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 17*g**2 + 31*g - 57. Let t(j) = 11*j**2 + 15*j - 24. Give -2*b(p) + 5*t(p).\nAnswer: 21*p**2 + 13*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + a + 4*a**4 + 0 - 6*a**4 - 2 as u + j*a**3 + d*a + t*a**2 + w*a**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -392a0 (base 13) to base 9.\nAnswer: -171263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64664563 + 2?\nAnswer: 64664565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3045, 3018, 2991?\n\"Answer: -27*u + 3072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Let t be (-4 + 1)\/(3 + (-18)\/5). Which is the second biggest value? (a) 1 (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 35*w - 18. Let y(t) = 17*t - 8. Determine -3*h(k) + 7*y(k).\nAnswer: 3*k**2 + 14*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 99. Suppose -9*w + 586 = -62. Let q = n - w. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-78) + 19216\/(-1196) - (-150)\/(-1725)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.19 - -37.217. What is the fourth smallest value in 0.3, -1, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54344147 bigger than 54344148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-56) - ((-651)\/228 - -3)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**4\/5 + 1708*r**3\/5 - 10212*r**2\/5 = 0.\nAnswer: 0, 6, 1702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 37 = -2*l, 38 = -5*m - 7*l + 4*l. Let y(s) = -s**2 - s - 3. Let x be y(-3). Does 35 divide (x - -14)*m\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - -6*(1*sqrt(190) - sqrt(190)))\/(sqrt(20)\/sqrt(2)*-4).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2448364796?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17113.74 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 11:22 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2534 * -37.9.\nAnswer: -96038.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 3*b + 21 = 28*n, -4*b = n - 16. Solve 13*o - 1 = n*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 10*z + 10. Let u be (-17)\/(-4) - 2\/8. Suppose -28 = -4*q + u. What is the units digit of x(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 9:35 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, -2\/1523, 15, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1\/7)\/z*z)\/z)\/((z*z**(1\/2))\/z))**35 assuming z is positive.\nAnswer: z**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 104*o + 1. Calculate the remainder when q(1) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7599044090.89 + -34.\nAnswer: 7599044056.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 - 171 = 8*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 + -69. Let n be 8\/(1 - 4\/(-4)). Let x(p) = p**3 - 1 + 6*p**2 + p - n*p**2 - p**2. Give x(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/263872 and 67\/27776.\nAnswer: 527744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + m**2 - 3. Let i = 227 + -209. Suppose -20 + 92 = i*p. Let s(q) = -2*q**3 + q**2 - 3. Give p*l(t) - 3*s(t).\nAnswer: -2*t**3 + t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**2*s**3 + 26477*i**2*s + 50282*s**3 wrt i.\nAnswer: -4*i*s**3 + 52954*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2763077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/(-600))\/(0 + (-2)\/(-10)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*v + 11 - 11 + 150*v**2 - 146*v**2.\nAnswer: 4*v**2 - 494*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12855)\/(-56562)*(6\/(-6))\/((-5)\/(-8)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -247, -483, -717, -949, -1179, -1407?\n\"Answer: b**2 - 239*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 11*j**2 + 6*j + 82. Let r(y) = 4*y**2 + 2*y + 28. Calculate -3*f(l) + 8*r(l).\nAnswer: -l**2 - 2*l - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -79.1+6.33\nAnswer: -72.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69\/2 + -103\/3. Let t(c) be the first derivative of 3 + 0*c + 0*c**4 + 0*c**5 - z*c**6 - c**3 + 0*c**2. Find the third derivative of t(d) wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + 585\/(-27))\/(-6 - 176\/12).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6)*3*11. Which is the second biggest value? (a) v (b) -3\/4 (c) 0.3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) 124\/113 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000001101010110 - 10100?\nAnswer: 1001000001101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 365209 and 1690?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*i**4*y - i**4 + 16*i - 268*y with respect to i.\nAnswer: -68*i**3*y - 4*i**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/1 + 0 - 1. Suppose 0 = -4*o + 9 + 35. Let b = o - k. Is b smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - x - 3*x)*(5 + x - 5) - 6*x**2 + x**2 - 5*x**2 + 3*x**2 + x**2 - 3*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 14 = -4. Let l = i + 12. Solve w = -l*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1717 - -1716. What is the closest to c in 6, -9, 4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m + 3057 - 3*m - 3057 + 5*m. Let r(y) = -533*y - 1. What is r(c(t))?\nAnswer: 1599*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85209986.\nAnswer: 2, 23, 197, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 25, -4*z + 20 = 5766*g - 5767*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1953*h - 41173 + 65402 = -101481 - 55919 for h.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f**3 - 16*f + 2. Let n(h) = -11*h**3 + 14*h - 3. Give -2*n(i) - 3*x(i).\nAnswer: -8*i**3 + 20*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1549492260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 34. Let t be x(13). Suppose 6516 = t*l + 1981. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429988228?\nAnswer: 2, 31, 3467647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 2 + 10\/4. Let h = 1 + -0.5. Let n = -0.4 - -0.3. What is the nearest to -1\/2 in n, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/7)\/((495\/70)\/(-11))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from tnchththhnhhhnthvh?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -307 by 307.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 931\/49 + 18*24. Sort -5, 5, k in descending order.\nAnswer: k, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*1*3*-4 - (1 + (sqrt(147) - (1 + sqrt(147))))*4)**2.\nAnswer: 27648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/(833\/85))\/(15\/(-35)))\/((-15)\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (1 - (1 + 2))) + (82 - -36) + -109\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-8))\/(-2*(-6)\/48).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) 2 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d40 (base 16) to base 12.\nAnswer: -6854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 15*w + 5. Let g be z(10). Let q = g - 181. Find the common denominator of -13\/2 and 1014\/q + 1\/3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62240592?\nAnswer: 2, 3, 1296679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**2\/2 - 9. Suppose -76 = -4*g - 0*g. Let q(p) = -g - 18*p + 19. Give q(s(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 6*z**2 - 11*z - 5. Calculate the remainder when 97 is divided by b(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 2:57 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651 + 3059 = 172*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19\/6 - (-2 - 5)\/(-42)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339873076.\nAnswer: 2, 251, 503, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 - 5. Let c(n) = n**2 + 1. Calculate 9*c(h) + 2*d(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -0*c. Let p be (-4)\/(c\/5 - 2). Solve -5*t = -p - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 188.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7842*f - 7792*f - 1200 = 0 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/21)\/(c\/(c*c\/(c**(-27)*c)))*(c*c*c**10)**(-7\/6))**(-3\/29) assuming c is positive.\nAnswer: c**(-269\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3405 and 165.\nAnswer: 37455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -21*v**2. Let k(j) = j. Suppose 3*b = 16 - 1. Let d(c) = 3*c. Let n(g) = b*k(g) - d(g). Determine p(n(l)).\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56240 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 317*y - 18. Is z(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5760 by 64.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 8. Which is the nearest to i? (a) 1 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 4\/13, 1\/5, 3\/8, -2\/3, 1\/3, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.09, 0.11, -65?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzyyzzyzzz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15023 (base 7) to base 16\nAnswer: -1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -44, -26, 8, 64, 148, 266?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153261\/11 + -90113189\/6468. Let m = -1\/196 - a. Let z = -5.7 - -6. What is the closest to m in z, -4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from {g: 11, h: 2}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1088*t**2 - 29*t - 29. What is the hundreds digit of h(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 8*d**2 + d - 8. What are the prime factors of t(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (86\/(18060\/75))\/(385\/147)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 1. Let z be i(2). Suppose -t - z = -6. Find the third derivative of 3*p**2 - t*p**6 - 4*p**2 + 3*p**2 wrt p.\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 + 169*x - 29. Let b be s(-34). Solve l + 2 = -2*w + 5, 2*w + b*l = -1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 738*b + 160 = 758*b. Solve -3*n + 25 = -4*x, 3*x + b = -n - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0799124 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 297.313 - 19.64\nAnswer: 277.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5743329.\nAnswer: 3, 1914443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15894 divided by 28370.\nAnswer: -7947\/14185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 10. Let l = 15.6 + m. Let x = -1.1 + l. Which is the third smallest value? (a) x (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267 + 240. Let x be (-6)\/m + 656\/1584. Which is greater: x or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114861.\nAnswer: 3, 38287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -9. Suppose 4*o + 2 = c, -3*v + 3*o = -36. Suppose 3*w - u + 63 = 5*w, -w - 4*u + v = 0. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 98\/3. Which is the nearest to w? (a) -1\/7 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/16, 0.1, -7, 5, -13?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckzkoz. Give prob of sequence co.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 2*s + 1 - 2*s. Let v be r(-5). Let o be 70\/v + (-8)\/12. Calculate the greatest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/17)*c\/(c*c\/(c**(-4)*c))*c**(2\/7)\/(c*c\/c**(-2\/5)))**(-2\/123) assuming c is positive.\nAnswer: c**(6226\/73185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-684)\/(-133))\/9 - (24960\/(-91))\/10.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 2. Let n(g) = g + 4. Let u(k) = k**3 - 4*k**2 - 4*k - 2. Let r be u(5). Let f be n(r). Let j be o(f). Solve -5*v - j = 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444902218 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 6*v + 2. Let t be a(-6). Suppose 4*z - 5*w = -17, 0 = -t*z + 5*w - w - 16. Differentiate -2*r - 1 - 3 + z + 4 with respect to r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k + 17*k = -7*k - 551 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d**2 - 1 - 4449*d + 4436*d + 2 + 2. Let g(z) = z**2 - z. Give -c(i) + 6*g(i).\nAnswer: -2*i**2 + 7*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 4, -14, -4359 in decreasing order.\nAnswer: 4, 3, -7, -14, -4359","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 - 36*y**3 - 186*y**2 - 160*y + 384 = 0. What is y?\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 13. Let m(r) = -2*r - 6. Let q be m(l). Let u = q - -33. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19159110 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*v - 4*q, 1978*v - 4*q = 1979*v - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9602195 and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 18440?\nAnswer: 55320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6 and (10\/(-8))\/(18170\/(-4108)).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/9 - 22*a**3\/9 + 88*a**2\/9 - 152*a\/9 + 32\/3.\nAnswer: 2*(a - 4)*(a - 3)*(a - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 2*x**4 - 5*x**3\/3 - 148*x + 34. Differentiate i(m) wrt m.\nAnswer: 24*m**2 - 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) 0.1 (c) 411 (d) -1\/3 (e) -0.8 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32116, -31507, -30910, -30325?\n\"Answer: -6*u**2 + 627*u - 32737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**3 + u**2 - 4*u**3 - 13*u**3.\nAnswer: -26*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -281, -514, -739, -950, -1141, -1306, -1439?\n\"Answer: s**3 - 2*s**2 - 234*s - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29\/72 - 53\/144. Calculate the common denominator of v and 47\/6.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + h, 0 = 8*s - 10*s - 2*h - 4. Let g be (0\/(-6) + s)*(-314)\/2. Put 3, g, -1 in ascending order.\nAnswer: g, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2696 and 472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 170446.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101011 + 1110000111110000?\nAnswer: 1110001011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -385\/19 + 2733\/133. Which is the second biggest value? (a) u (b) 4\/7 (c) 2.67 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o - 4*i + 1, -4 = 4*i. Suppose 3*j - 79 = -5*h, -o*h = -5*h + 15. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10055, 20523, 30989, 41453, 51915, 62375?\nAnswer: 72833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 372142 - 372682.9336. Let z = 541 + p. What is z rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 14*j**3\/3 - 20*j. Let d(a) = -a**2. Determine y(d(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 574697, 574675, 574639, 574583, 574501, 574387, 574235?\n\"Answer: -t**3 - t**2 - 12*t + 574711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 628124 divided by -14.\nAnswer: -44866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6633 + -5558. Calculate the highest common divisor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4522 and 3706?\nAnswer: 492898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500581076.\nAnswer: 2, 877, 142697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Let y = -0.025 + 20.025. Let t = y - 19.8. Which is the closest to -0.1? (a) -0.3 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - u + 5*u**3 + u.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 5 = -s - 4*x, -10 = -4*s - 2*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1346 <= -1349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*10\/15 - -152. What is the common denominator of -14\/15 and (1 - 132\/n)*(10 + 1)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1992?\nAnswer: 1\/498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/5 - 1\/15. Put d, -3\/5, -0.1 in ascending order.\nAnswer: d, -3\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 + 5 = 0. Suppose -l - f = -2*l. Sort -5, 4, l in decreasing order.\nAnswer: l, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -866, 19, 483, 3 in descending order.\nAnswer: 483, 19, 4, 3, -866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:38 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0*h + 3\/8*h**4 + 0 + 0*h**3 - 38*h**2 + 79\/60*h**5. What is the second derivative of b(m) wrt m?\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*k**2 + 211*k**2 + 195*k**2 + 16*k - 673*k**2 to the form b*k + v*k**2 + q and give v.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.9, -1\/2, 2.855, 33, 0.27?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -275c - -1?\nAnswer: -275b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 3942.4 and 268381674.\nAnswer: 268385616.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/15 and -37\/5329581.\nAnswer: 26647905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 3*h - 3. Let t be n(-5). Suppose -5*q = -5*j + 110, 0 = j + q - 2 - 18. Calculate the greatest common divisor of t and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l + 7. Let c = 15123 - 15118. Determine t(c).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l**2 - 9*l - 9. Let x be u(-1). List the prime factors of (-25 - -20)*472\/x.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-4)\/32)\/(228\/(-32))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 7*o. Suppose -w = -o*w + 6. Let i be ((-2)\/(-8))\/(7 + w). Which is the nearest to -7? (a) i (b) -1\/8 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**4 + u**4 + 226*u - 223*u - 4*u**4 + 2*u**3 + 23 - 2*u**2 as l*u**2 + g*u + i*u**4 + j*u**3 + q and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 + 537*f + 543. What is w(-76)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 1 - 19\/95. Let u = 80 - 73.7. Let f = -6 + u. Which is the third smallest value? (a) n (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k\/k**(-1\/2))*k*(k\/(k**(-1\/19)*k))\/k*k*(k\/(k*k**(-6)))\/k*k**(-5\/7) assuming k is positive.\nAnswer: k**(1553\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 261 and 15225?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 54667, 54669, 54671, 54673, 54675?\n\"Answer: 2*w + 54665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 + 57 = -96*l. Solve -3*c - 14 + 6 = w, -c = -l*w + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(4*sqrt(396)) + (sqrt(27)\/(sqrt(18)\/sqrt(2) + sqrt(9)) - (sqrt(3)*-1 + 3)).\nAnswer: -3 + 37*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0963 + -415.9037. Let t = -422 - a. Which is smaller: -40 or t?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1561700 is divided by 77.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -52\/5, -0.3, -5, 0, -0.1 in decreasing order.\nAnswer: 0, -0.1, -0.3, -5, -52\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, r: 5, y: 1, k: 7}. Give prob of picking 1 r and 1 h.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.39? (a) 2\/3 (b) -0.5 (c) -4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202111 - 1000220112?\nAnswer: -1002200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 2*d + 3. Let p be i(3). Let v = 402 - 400. Suppose v*h + 1 + 3 = p. Sort 0, 3, h in decreasing order.\nAnswer: 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 38. Calculate h(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316756 divided by 3443.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28455395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121932200 divided by -1325350.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36, 11, -52, -171, -364, -649?\n\"Answer: -3*z**3 - z**2 - z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in 3\/2, -5, -3, 124, 19.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -11, -13, -27, -59, -115, -201, -323?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1442*p + 17575 = -739*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 - -6) - (7 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 x when three letters picked without replacement from {i: 2, x: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -11)\/(-6) + 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1835 divided by 367.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - -3*sqrt(405)*1) + (sqrt(405) - (sqrt(405) - (sqrt(405) - sqrt(405)*2)*-3)))\/((-1*sqrt(108))\/sqrt(12) - sqrt(54)\/sqrt(150)).\nAnswer: -35*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1970 - -950. Round x to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*p, 4*p + 11 = -3*a - 9. Let w be a + 251 + 3 - 2. Let r be w\/10 - 1\/5. Solve -5*f + 0*f = -r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 69*v - 65*v. Let r be 14 + ((-3)\/(-3) - 0). Suppose 4*c - r = 1. Solve f - 7*m = -c*m - 13, -2*m + v = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -195*h*p*s**3 + 2*h*p*s**2 - 534*h*s**3 - 2*h*s - 11*p*s - 29*s wrt p.\nAnswer: -195*h*s**3 + 2*h*s**2 - 11*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -28 - ((-2)\/(-3) + (-4)\/(-12)). Sort -1, 1, -4, b in ascending order.\nAnswer: b, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14995\/8 + -1877. Let m = -1968083 - -165315079\/84. Let q = -318\/7 - m. Calculate the common denominator of q and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -1\/5*v**5 + 1\/10*v**6 - 1\/3*v**3 + 16 + 0*v**4 - v**2 - 2*v. Find the second derivative of y(q) wrt q.\nAnswer: 36*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2707 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -9*p + 16. Suppose -p*u - 15 = -5*z, 4*z - 4*u - 6 = 6. Suppose 2*j + 6 = 2*o, -5*j + z = -2. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 5, k: 2, p: 2, t: 3, w: 7}. Give prob of picking 1 w, 1 p, and 1 a.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3649878.7 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1068)\/(-14))\/3 + (216\/(-63) - -3). Let r be (-1 - (0 + -3)) + 45. Let d = 71 - r. Is d at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -113508 and -0.1.\nAnswer: 11350.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**5 - 365*k**4 - 1170*k**3 + 290790*k**2 + 2751975*k + 2460375 = 0.\nAnswer: -45, -9, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2263 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 - 2669*q**3 + 2 + 131*q - 7 - 1071*q wrt q?\nAnswer: -16014*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819 = -5*b - 3*q + 9731, -4*b - 3*q + 7132 = 0. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 30*z**3 - 32*z - 5. List the prime factors of q(6).\nAnswer: 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 79, 69, 55, 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhmh when four letters picked without replacement from hmhhzcmcmzh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 94004 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1288.4498 and 12.\nAnswer: -15461.3976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3677 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 + -1 + -1 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/10)\/((-14)\/35). Let h(w) = -5 - 5*w**2 - 2*w + w**2 - 5*w + j*w**2. Give h(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**4\/4 - 2*u**3\/3 + 3*u**2 + 5*u - 234. Give b(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 6394704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-1)*2\/(-4). Suppose 6 = 3*y - g*y. Is 1\/y - 223\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1414.\nAnswer: -5\/1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8620 and 10344?\nAnswer: 51720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69741 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**4 - 89*l**3 - 303*l**2 - 336*l - 142. Let k(f) = 4*f**4 + 312*f**3 + 1060*f**2 + 1176*f + 496. Let d(o) = -7*k(o) - 24*p(o). Factor d(m).\nAnswer: -4*(m + 1)**2*(m + 2)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2029271111 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 7*c**2 + 8*c - 3. Let j be o(8). Does 18 divide (j\/(-2))\/((-1)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 0*y**2 - y + y**2 as p*y**2 + l*y + x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222593, 222595, 222599, 222605, 222613, 222623?\nAnswer: 222635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45)\/(-23) + (4 - (-2 + 3)). Let r be (4911\/(-46))\/(-8 + 2). Let m = r + c. What is the common denominator of m and -101\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11213074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 10, z: 1, p: 8}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. Let s = a + -2.2. What is the second smallest value in 0.2, 1, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*q + 312*q - 637*q + 9 = 0. Let u(j) be the first derivative of 10*j**3\/3 - j**2 + j - 1. What is u(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 17914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 308 - 55 = 0. Suppose 4*h = 5*h - z. Suppose -3*j = 15, 3 = -5*q + j + h. Solve -t + 2 = -q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -40*t**2 + t + 25*t**2 - 1 + 19*t**2. Let z be u(1). Suppose f = -z*k + 263, 4*f - 435 + 109 = -5*k. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17704 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 565774 to the power of 1\/2, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.3 (c) 0.303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t - 188. Determine q(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/3 + 48\/(-104). Put 0.2, -3, y in descending order.\nAnswer: 0.2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**5\/11 - 32058*t**4\/11 + 128448366*t**3\/11 + 128865170*t**2\/11 - 1541765400*t\/11 = 0.\nAnswer: -4, 0, 3, 8015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 5*t + 1. Suppose 3*y + 20 = 2. Let a = y + 0. Give l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -2151.754.\nAnswer: 2146.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 7858621.\nAnswer: -3929310.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 - 34*i**2 - 6*i**3 + 32*i**2 + 6*i**3 + 20 - 2*i as x*i**3 + f*i**2 + y + h*i**4 + p*i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) + (sqrt(160) - sqrt(160)*1*6))*2)\/(sqrt(128) - sqrt(392)*-1).\nAnswer: -16*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w**2 + 1. Suppose n - 4 + 5 = 0. Calculate o(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -49, -87, -129, -175, -225, -279?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/240 and 7\/2690?\nAnswer: 64560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k = 88*k - 16224. Calculate the greatest common divisor of k and 2808.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 8*l + 9. Let y be n(-5). Let g be 1\/(-2)*36\/y. Solve -d + 10 = -g*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and 0.21.\nAnswer: 9.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1040)\/(-170) - 2\/17 - (-37)\/(-6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i - 82. Let a be d(-17). Suppose -2*y = a*y + t - 489, y - 4*t - 81 = 0. List the prime factors of y.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 152, 151, 140, 113?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 5*i**4\/4 - i**3\/3 - i**2 - 8*i. List the prime factors of z(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -706 + 726. Factor -1744 - 3612*d + 3303*d**3 - 3389*d**3 - d**4 - h - 1933*d**2.\nAnswer: -(d + 1)**2*(d + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = -7. Let s be (-1)\/v + 2231\/130. Let g = s + -32\/13. Find the common denominator of g and 23\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 37 = -6*s. Let u be (s - (-12 + 0)) + -3. Suppose -5*a + 7 = -3*v, a + u*v + 21 = -0. Sort a, 0.5, -2 in descending order.\nAnswer: 0.5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 96168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -526, 12, 1 in increasing order.\nAnswer: -526, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630 (base 12) in base 3?\nAnswer: 10121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -247571 at most as big as -247510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -45, -90, -177, -324, -549, -870?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12620*n - 12593. Give c(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12200 + 11?\nAnswer: 12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-2))\/((-4)\/(-8039 + -5)). Let x = b - 1092. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, m: 1, j: 7}. What is prob of sequence mjb?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 + 1921832*h + 230839889764 = 0. What is h?\nAnswer: -240229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.883997785 - -2.884. Round l to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 163050612, 163050613, 163050614, 163050615?\n\"Answer: w + 163050611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 997617342 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*2\/(-4)*4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.06, 0.5, -5, 0.3, -2\/47, -161.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.1 - -0.1. Let b = -4.8 - w. What is the nearest to 1\/2 in 4, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1170816, 2341634, 3512452?\nAnswer: 4683270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -30. Let v(q) be the third derivative of -q**5\/30 - q**4\/24 + 2*q**3 - 10*q**2. What is the remainder when u is divided by v(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*j + 4, 5*j + o - 2 + 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*r - 0*r - 126, -4*p + 93 = r. Calculate the remainder when p is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from kkbbbbkkkkkkkbkkbk?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(144) + sqrt(144))*-5)\/(sqrt(192)\/sqrt(4)))\/((2*sqrt(66)*-5)\/(sqrt(99)*2)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -253 and -11698704?\nAnswer: 11698451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**5*j**3 - 5174*c**4*j**3 + 534*c**2*j**2 - 56*c*j**3 wrt c?\nAnswer: -300*c**2*j**3 - 124176*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/3 of a day in hours?\nAnswer: 544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1462.5 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 + 2*s - 16. Let q be o(4). Let i = q - -6. Let p = i - -50. Solve 5*a - 3*a - 2 = p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**3\/3 + 13*b - 10. Differentiate j(f) with respect to f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85200840 to the nearest 10000.\nAnswer: -85200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 s when four letters picked without replacement from {s: 3, f: 3, z: 3, c: 10}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -30. Let s = -8.99 + -0.01. Let w = 6 + s. Which is the closest to w? (a) 0.2 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22144, 44252, 66370, 88504, 110660?\nAnswer: 132844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**2 + 6*k**2 + 63*k**3 - 3*k**2 + 9*k**2 wrt k.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/3*(-39)\/(-286)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5699 - -0.1999. Which is the second biggest value? (a) t (b) 0.09 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9125 + -9123. Solve 2*k - 4*k + 3*a - 1 = 0, -t*k = a + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3686106.\nAnswer: 2, 3, 337, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1050514 (base 6) to base 13.\nAnswer: 1b370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*v - 38543242 + 9355242. What is v rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 4, -5, -1, 0.9, -1\/4, 7.1?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 15*u - 14. Let l be g(14). Let o(b) = 9*b + 2. Let p be o(l). Factor -1\/4 + 0*v + 1\/4*v**p.\nAnswer: (v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 1)*(39*k**5 + 66*k - 66*k).\nAnswer: -117*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18104370 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7054139468+-30.1\nAnswer: 7054139437.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1992425 + 536425. What is r rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ara when three letters picked without replacement from aazaraaaaaa.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (8 + -10 + -16 + 5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -399 and 417.034?\nAnswer: -166396.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11406.\nAnswer: 2, 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5 - 0)\/((-220)\/1848)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.7 in -4, 0.1, -3, 739?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26509, 53381, 80253, 107125, 133997, 160869?\n\"Answer: 26872*v - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f - 3. Let x(p) = -10*p - 8. Let q = 256 - 263. Calculate q*r(c) + 2*x(c).\nAnswer: c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 2, -56\/13, 2\/13 in increasing order.\nAnswer: -56\/13, 2\/13, 5\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 80.5. Is h > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 + 14 - (-615)\/48)\/((-3)\/3)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 j when four letters picked without replacement from fjwwjwwjwjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s + 3 - 5 - 10 + 0*s in the form v + q*s and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37 - -c2b6?\nAnswer: c2ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3416 + -3376. Solve 8 = -2*c, -3*n - 35 = -2*c - y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**2\/2 + i - 289. Let a(g) = -g - 4. Let p(c) = c**3 - 2*c**2 - c + 1. Let y be p(2). Determine y*a(h) - 2*j(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31275999 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243497522*3.\nAnswer: 730492566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*q = 0, 2 = s - 8*q + 15*q - 31 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/4))**(-28\/3)\/((s**(2\/11)\/s*s)\/((s*s*s*s**(-4\/5))\/s)) assuming s is positive.\nAnswer: s**(-329\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6176 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440 (base 14) to base 10.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 194929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58678783\/63959413 + -6752\/17951. Let q = -4\/509 - p. Factor 3\/7*k - 9\/7*k**2 + q - 3\/7*k**3.\nAnswer: -3*(k - 1)*(k + 1)*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11788, -11791, -11792, -11791, -11788?\nAnswer: -11783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 347 and 67318?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let m be 12 - (0 - 0\/i). Calculate the greatest common divisor of 60 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32645 (base 8) to base 2.\nAnswer: -11010110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 437 - 180. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (396\/495)\/((-6)\/(-45)*219).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-56)\/(-10) + 6\/(-10). Suppose -5*l + 279 = -0*l + k, m*l - 2*k - 282 = 0. What is the units digit of (2\/(-2))\/((-4)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tststststsss. What is prob of picking 3 s?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136135959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30269020 divided by 5?\nAnswer: 6053804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-4)\/162)\/(((-2560)\/60)\/(-32)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3465995 to the power of 1\/2, to the nearest integer?\nAnswer: 1862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107.1 + -107. Let z = 95.3 - 95.1. Which is the smallest value? (a) -4 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 0*m**2 - 6*m**2. Let j be 72\/42 - 2 - 3504\/(-14). Let z(u) = j - 250 - 4*u. What is z(o(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -42500 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.85, 4, -213, -4, -3, 3?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4498.92926 - -4499. Let y = x - 0.07. What is y rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12558 - -21340. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/13416 and 93\/8944?\nAnswer: 26832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -511*s - 3726*s + 364382 for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36012 is divided by 522.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1398*b - 2803*b + 1407*b. Let r(s) = 5*s. Let u(i) = -24*i. Suppose 3*k = -0*k + 48. Let c(f) = k*r(f) + 3*u(f). Give c(l(v)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 12:38 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/107? (a) -1 (b) 2\/7 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 254 - 80 = 5*x, -2*x + 63 = -3*h. Solve x = -37*d + 31*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*((-2*sqrt(52))\/sqrt(4) - sqrt(13)))*3.\nAnswer: -12 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-65)*(-3)\/(-2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -2537a0?\nAnswer: -2537a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -2, 1, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 0.7. Let z = 33.4 - 131.9. Let o = z + 98. Which is the third biggest value? (a) -4 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*c = -c + 20, -3*c - 15 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46110 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (2016\/(-266))\/24*58?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 6*y**2 - y**2 - 2*y**2 - 5 - 3*y - y**3. Let r be l(4). Let q = r - -15. What is the highest common divisor of 35 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239398*n - 47152 = -238977*n for n.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3099 = 3*s, 3*s - 250 - 536 = -q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 288 + 69 + 7)*(1 - t - 1) in the form b*t**2 + m*t + u and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 1708.\nAnswer: 18788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2*-9\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**4 + 10*f**3 + 9*f**2 + 12*f + 2. Let w(l) = -3*l**3 + 85*l + 4*l**3 - 84*l. Let u(o) = -q(o) + 5*w(o). What is k in u(k) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2293324 - 2293324 + 454*y**2.\nAnswer: 454*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 453 (b) 2\/59 (c) -0.2 (d) -0.7 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 166209805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404269 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284467542?\nAnswer: 2, 3, 23, 449, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 710*m**2\/7 + 5533022*m\/7 - 62344\/7.\nAnswer: 2*(m + 7793)*(355*m - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 38*p + 12 = 0. Let d(o) = o**2 - 5*o - 2. Is d(p) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 659 - 654. Solve 15 = w*x - f, -2*x + 9 = -5*x - 3*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396822 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 19169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**2 - 21*k**3 - 9*k**2 + 6*k**3.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k - 2*k**3 + 2*k**2 - 2*k**2 - 2*k**3 + (8*k + 47*k + 6*k)*(5*k**2 - k**2 + 7*k**2).\nAnswer: 667*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -40, 0, -3\/2?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/27*6*(-72)\/(-16). Suppose 0 = -r*a + 5*a. Solve d + 2*d - 13 = 2*h, a = -3*h + 4*d - 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - m)*(1145 - 769 - 185 + 1040 + 1188).\nAnswer: -2419*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 634, 1265, 1896, 2527?\n\"Answer: 631*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26942, 215365, 726712, 1722419, 3363922, 5812657, 9230060, 13777567?\nAnswer: 19616614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659*g + 23460 = 693*g. Solve 685*b - g*b - 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + -2 - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 7*t - 9. Suppose 2*i = 10, 4*k = 4*i + 1 + 3. Determine b(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1764790 is divided by 38363?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 77 = 2. Let s be (-6)\/b - (-186)\/10. Let g = s + 6. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.017 + -0.253. Let b = m + 1.27304. Round b to 4 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (sqrt(448) + 1*sqrt(448) + 0)**2 + (0 + sqrt(448) + -1 + (sqrt(448) - (sqrt(448) + (1 + sqrt(448))*6)))**2)*-6.\nAnswer: 3360*sqrt(7) + 78252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 - 3*j**2 + 2*j + 1. Let m be c(2). Suppose -4*k + m = -k. What is the second derivative of k*n**3 + 0 - 4*n + 0 + n wrt n?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.96 + -0.04. Let l = -749.8 - -750.3. Which is the biggest value? (a) s (b) l (c) -4\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525715 by 2.\nAnswer: -525715\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1312633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 322*n - 2867. Is 9 a factor of m(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 21*i**2 - 55*i - 97. Is d(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-20))\/(x*((x\/(x*x**(-5)*x)*x)\/x)\/x) assuming x is positive.\nAnswer: x**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 - 4*n**4 + 2*n**4 + (1 - 4 + 1)*(6*n - 14*n + 9*n)*(-157 + 8*n**3 + 157).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h = 18*h - 7*h. Which is greater: 7\/559 or h?\nAnswer: 7\/559","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 14*t**2 + 3*t + 2. Let v(b) = -b**2 + b - 1. Let u(o) = h(o) - 3*v(o). Give u(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6236 is divided by 718?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*x - 0*s - 1, 0 = 3*x + 5*s. Let c be (22\/x)\/((-2)\/(-10)). Suppose -5*v - c = -167. Calculate the remainder when v is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128\/3 + 43. Which is the nearest to u? (a) -0.3 (b) 0.3 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15093, 15061, 15017, 14961, 14893, 14813?\nAnswer: 14721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**5\/2 + 165*g**4\/2 + 465*g**3 + 380*g**2 = 0. What is g?\nAnswer: -4, -1, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374684740.\nAnswer: 2, 5, 18734237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 - -391271167853.\nAnswer: 391271167853.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbjbbowwpb?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764)\/sqrt(6))\/sqrt(3).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 949 + 2*w**3 + 1902 - 7*w - 946. Let q(f) = -3*f + 3. Give -7*q(o) + 3*s(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -9546 + 1942. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1716 and 109\/48?\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 463435 divided by 5\nAnswer: 92687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1212021222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-162)*(-33)\/22.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421632 to the power of 1\/2, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 590524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*s - 18 = -2*k - 207*s - 211*s, 42 = -2*k + 4*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15232.04 - 15232. Which is the nearest to -0.1? (a) 5 (b) 4 (c) -37 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -4*a - 19. Find the second derivative of -a*v + 222 + 2*v**5 + 44*v - 222 wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 887 (base 9) to base 4.\nAnswer: 23113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/19)*a)**(-32) assuming a is positive.\nAnswer: a**(-1312\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3256 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20.7, 9, -1, 17, 1\/3, 0 in increasing order.\nAnswer: -1, 0, 1\/3, 9, 17, 20.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -52. Let y(p) = -9*p**3 + 3*p**2 + p - 1. Calculate the lowest common multiple of y(c) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33.3202 + -0.6798. Which is the second smallest value? (a) -3\/4 (b) -3 (c) 11 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**7\/420 + 3*t**6\/80 - 7*t**5\/30 + 3*t**4\/4 - 4*t**3\/3 - 41*t**2 + t. Solve c(g) = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times 0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 12*l**2 - 3 + 3.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 389123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from bvbvbqqvv.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 2:22 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 159282362 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 minus -10787079.42?\nAnswer: 10787405.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 393 + 473 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.152 * 2.\nAnswer: 0.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -35155911?\nAnswer: 16\/35155911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (-5 - -2))\/2. Suppose 2*s - 5*s = v. Suppose p - 2*p + 6 = s. Calculate the remainder when 17 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0, -5, 5 in descending order.\nAnswer: 5, 0, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -j, -4*j - j + c = -9. Let v(b) be the third derivative of 0 - 1\/24*b**4 + 0*b - 2*b**j + 1\/3*b**3. Give v(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 1, h: 2}. Give prob of sequence hha.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(108) + 1 - sqrt(108)) + (sqrt(108) + -1)*-5 + (-6*sqrt(108)*2 - sqrt(108)) + sqrt(108) + -1 + (3 + sqrt(108) - sqrt(108)) + -2)**2.\nAnswer: -1224*sqrt(3) + 31248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 21. Let p be (-18)\/(-120) - (36\/(-135) + (-4)\/(-6)). What is the closest to 6 in 1\/2, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*u + 6*u. Let p be (u - -1)*(-2)\/(-20). Let g = -44 - -218\/5. Sort p, g, 0.\nAnswer: p, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-33) - 4\/(-22). Let t(n) = 2*n + 6. Let f be t(-5). Let g = o - f. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.9381 tonnes in grams?\nAnswer: 953938100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 1. Let w be f(-6). Let y be 6\/(-15) + (-32)\/w. Solve y*n - n = -20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13078247 to the nearest integer?\nAnswer: 3616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.95 + -627.05. Let r = -637.00309 - n. What is r rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/59 (b) 1\/19 (c) -0.005 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13, -29, -3 in decreasing order.\nAnswer: -1, -3, -13, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1237377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 7514.\nAnswer: 7514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2 + 10. Suppose 0 = -0*p + 3*p + 18. What are the prime factors of 6 + w\/p*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 3. Let v = -2482 + 2489. Calculate the remainder when v is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 - 7072\/91. Suppose -15 - 81 = 24*m. Let z be (6\/(-4))\/(f\/(-24) + m). Solve z*q - 2*r + 17 = -3*q, 8 = -2*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110010 (base 2) in base 16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*sqrt(684)*3)**2 - (2*(sqrt(114) + (2*sqrt(114) + sqrt(114) - sqrt(114))))\/(sqrt(6) - sqrt(6)*-3*-1).\nAnswer: 3*sqrt(19) + 153900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2117 + 5?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125.1 + 116. Let g = u - -9.1000479. What is g rounded to 6 dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -69, -91, -133, -201, -301?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7161, 7214, 7273, 7338?\n\"Answer: 3*z**2 + 44*z + 7114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 9:15 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -78 + ((-23 - 13) + 41 - -12)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*3*6)\/(sqrt(24)\/sqrt(24)).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486104843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20429229*s**2*z**6 + 4137*s**2*z**2 - 559*s**2*z wrt z?\nAnswer: 2451507480*s**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + a = -8*o + 13, 5*o + 2*a - 22 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -18386.943 to the nearest one hundred.\nAnswer: -18400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 11*t**2 - 852*t + 8406. What is a(10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101831921 to the power of 1\/2, to the nearest integer?\nAnswer: 10091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(1 - 9 - 8)*(2*t - 3*t - t) in the form d*t + c and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -34\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.4. Let s = -4\/17 + 94\/255. What is the third smallest value in b, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p + 6. Let w be (-1 - -1) + 7 + -3. Solve -w*y - 19 = p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -49.972. Let q = 0.228 + d. What is q rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d495 (base 15) in base 13?\nAnswer: -175a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -928*j**5 - 1901*j**3 - 646*j**2 - 138*j - 7.\nAnswer: -55680*j**2 - 11406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1260)\/49)\/(-9) - (-3)\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 138, 561, 1270, 2265?\n\"Answer: 143*j**2 - 6*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 + 12*s - 38\/3.\nAnswer: 2*(s - 1)*(s + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 z when three letters picked without replacement from cckiikzciic?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 6. Let g be c(4). Suppose f + 1 = 2*f + g*u, -2*u - 4 = 0. Let t be (1\/(-3))\/(1\/(-6)). Solve 0 = t*q + p + f, -q - p + 1 = 3*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/33 and 31\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 16 = 4*p + 3*l, -2*p + 4*l = 12. Is p at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 17 (b) -2 (c) -17 (d) -5 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 944.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 + -4 - (7 + -6 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17568705 is divided by 1451.\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/160? (a) 1 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46219 or 739519\/16?\nAnswer: 46219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*h**6*w**2 + 313*h**4*w**3 - 3*h**2*w**3 - 1195*h**2*w wrt h?\nAnswer: -3840*h**3*w**2 + 7512*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.831 + -0.169. What is the nearest to b in -1\/3, 1\/2, -2\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 168, 174, 184, 198, 216, 238?\n\"Answer: 2*w**2 + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2. Let y(b) = -2*b**2 + 4. Let w(s) = -s**2 + 3. Let a(q) = 4*w(q) - 3*y(q). Determine a(p(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1233192 and 131\/192.\nAnswer: 9865536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -175 + s**2 + 137 + 2*s**4 - s**2 - 285 wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 11:17 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + -21001?\nAnswer: -21112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-142)\/8)\/((-16)\/320) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s = 71*s - 466 - 94. Let o(w) = 12*w. Let n(h) = -6*h. Let y = 18 + -9. Determine s*o(t) + y*n(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - h - 12, -2*w - 2 = -4*h - 0. Suppose 12 = -b + w*b. Let f(p) be the second derivative of p**3\/3 - 2*p. Let s(o) = 3*o. Give b*s(t) - 4*f(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in -0.01, -2\/5, 6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 5. Calculate c(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 + 2*b**2 + 0*b**2 - 6*b + 2*b - 8 + 3*b**3 = 0. What is b?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.49 - -122.49. Let o = -122.02 + z. Which is the third smallest value? (a) o (b) 0.3 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593 + 613 = -5*v. List the prime factors of (-136)\/((v\/6)\/((-12)\/(-9))).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**4 - 1916*t**3 - 15*t**2 + 574195.\nAnswer: -4*t**3 - 5748*t**2 - 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -9\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*w**4 - 4*w**3 + 4*w**3 + (2*w**2 - 2*w**2 - w**3)*(-3*w + w + 3*w) + (-6 + 6 + w)*(-3*w - 2*w + w**3 + 4*w).\nAnswer: 13*w**4 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 28 = -3*m - 34, 5*l + 3*m = 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219824 is divided by 219256?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38705123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23262 - 15550. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1153*g + 64*g**3 + 0 - 3 + 33*g**3 + 3.\nAnswer: 97*g**3 - 1153*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -36?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 2319*k**2 - 3*k + 12*k - 2323*k**2 to o*k + b + c*k**2 + s*k**3 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 5*s - 101487 + 16417, r - 3*s - 17016 = 0. Suppose -2*k + 5671 = -4*v + 5*v, -3*v = -4*k - r. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**6\/60 - j**5\/30 + j**4\/24 + j**2. Let i(v) = v**3 - 2*v**2 + 3*v - 5. Let d be i(2). Calculate m(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2108)\/24 + (-2)\/12. Let z = v + 175. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.7526 centuries to months.\nAnswer: 116103.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/65)\/(34\/5)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 359614*d*k**4 - 699*d*k + 2*d - 36*k wrt k.\nAnswer: 4315368*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/11 + 3157678*p\/11 + 3157680\/11.\nAnswer: -2*(p - 1578840)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.4 (b) 3\/4 (c) 22 (d) -0.1 (e) 34.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2802 = -14*q + 646. Let i = q + 166. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4234506588 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(68) - (sqrt(17) - (sqrt(612) + -1 + sqrt(612)) - (sqrt(204)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1726 + 1736. Let l be (-4 - 26)\/((-6)\/(-4)). Let u = b - l. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(45)\/(sqrt(40)\/sqrt(8))))\/(2*(sqrt(10) + sqrt(10)*-2*5 + sqrt(10))).\nAnswer: -sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 34341?\nAnswer: -34341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*d - 1113. List the prime factors of d.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*h - 0*h. Suppose 21 = j - h*i, 2*j + 0*i + 10 = -3*i. Let d = 40 - j. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43.839 or -15?\nAnswer: -43.839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*4 - (0 - 4))\/(-2). Suppose -5*y = -4*h + 635, -345 = -2*h - i*h - 3*y. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 5*d - 2*m, 0*d - 4*d + 79 = 3*m. Let v be (-1)\/(2\/20*1). Let r = v + d. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131463*q**3 - 262617*q**3 + 131167*q**3.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 359 - 56 - 11\/1. What is the greatest common factor of 511 and k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78970351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2833591 to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 106884.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.26 + -7.26. Let k = -0.2 + -0.8. What is the closest to k in -5\/3, -2\/7, o?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -7 (b) -0.08 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 4:18 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 105139 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8476*z**5 + 24*z**3 - 6*z**2 - 17606*z - 2?\nAnswer: 508560*z**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 90 = 4*n. Suppose 732 = 11*m - n*m. What are the prime factors of m?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 16*y**2 + 14 - y)*(4 - 1 - 1 + (-1 + 1 + 2)*(2 + 4 - 4) + 7 - 6 - 4) + 8*y**2 + 2*y**2 + 8*y**2 to g*y**2 + c + r*y and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**6\/120 - 7*t**5\/20 + t**4\/24 - 11*t**3\/3 + 367*t**2. Determine u(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1007682?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2, -215, -3 in decreasing order.\nAnswer: 5, 2, -3, -5, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 147*k**5\/5 - 777*k**4\/4 - 223*k**3 + 237*k**2\/2 - 18*k - 1779. Let b(l) = 0. Calculate l.\nAnswer: -1, 1\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -0.3. Let l = 23.5 + -24. Which is the smallest value? (a) -3 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-2 - 0) - -13) + 3 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 32 = -7*y, 4*c = 2*y + 18 + 21 - 7 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112033 is divided by 16003.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-10))\/((-8)\/20). Find the common denominator of d\/12 - (-315)\/(-12) and -73\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*p)*(p**3 + 2*p**4 - p**3) - p**5 + 4*p**5 - p**5 + (51*p**3 - 222*p**3 + 62*p**3)*(p**2 + p**2 - 5*p**2).\nAnswer: 325*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q**4 - 14*q**2 + 3*q + 3. Let i(k) = -72*k**4 + 126*k**2 - 26*k - 26. Let w(y) = -52*b(y) - 6*i(y). Find the third derivative of w(j) wrt j.\nAnswer: 384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*g + 34*g + 845*g**2 + 340*g**2.\nAnswer: 1185*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -290, 137, -1, 13, 5, -12 in decreasing order.\nAnswer: 137, 13, 5, -1, -12, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -27646*i. Let p(k) = 4747*k**2 - 2*k. What is p(m(f))?\nAnswer: 3628138347052*f**2 + 55292*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10887, -10349, -9811, -9273, -8735?\n\"Answer: 538*r - 11425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(432)*1 + -2 + 4 + sqrt(432)*-2 - -3*(1 + sqrt(432) + 3)))**2.\nAnswer: 864*sqrt(3) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -830 - -929.8. Let m = j - 167. Round m to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 8*s**2 - 36*s.\nAnswer: s*(s - 36)*(s + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.1532 * -4.187\nAnswer: -9.0154484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 + 4*n**2 - 6*n - 10. Let q be h(-4). Let x = q - -149. Which is the biggest value? (a) -4 (b) x (c) 0 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 * 17822.\nAnswer: -1247540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 41\/2 of a day?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 768 = 3*d, -6*d - i = -3*d - 756. Calculate the remainder when d is divided by 171.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -569 + 580. Put s, -3, 0, -1 in descending order.\nAnswer: s, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 308 - 177. Let n = b - 59. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -152, -344, -614, -962, -1388, -1892?\nAnswer: -2474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1018)\/(-6) + (-3)\/(-9). Calculate the highest common factor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514142 (base 7) in base 4?\nAnswer: 111131033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489600381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29b (base 12) to base 3.\nAnswer: -120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:22 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7484.\nAnswer: 2, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5))**41)**(1\/7) assuming i is positive.\nAnswer: i**(-205\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 239, 352, 473, 608, 763, 944, 1157?\n\"Answer: c**3 - 2*c**2 + 112*c + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 5048 + 5039 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*g - 17. Suppose 0 = -t - g + 19. Calculate the remainder when 19 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113695\/13 - -8747. Let 10\/13*m**2 - w*m - 2\/13*m**3 + 8\/13 = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-28)*(-42)\/35)\/1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o - 4*w + 27 - 1, -47*w = o - 52*w + 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/61 in -0.1, 0.4, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 205825121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*m*t**6 - 51*m*t**2 + m + 8*t**6 - t**2 wrt t.\nAnswer: 840*m*t**3 + 960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156\/5 + -31. Let s(w) = -89*w - 1336. Let h be s(-15). What is the nearest to -2 in -0.1, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(153) + 0)*-3)**2 + -2 + -2 + sqrt(153) + sqrt(153) + 4 + 0).\nAnswer: 12*sqrt(17) + 2754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13642 greater than or equal to 13642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15570 or -9?\nAnswer: 15570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -216 + 219. Let t(s) = s**2 - 2*s + 1. Give t(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-342464)\/(-32106))\/(6*(-1)\/(-81)*3*2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/32 + 0 + 11\/4. Is 4960\/15 + i\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396599 to the power of 1\/2, to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide -5*((-420624)\/30)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - b + 6*b = -52350, -2*f - 2*b = -34900. Suppose -5*n + 34 + 6 = 3*p, 3*p = -n + 20. Suppose f = n*u - 2550. Round u to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*i**2 - 1887*i + 105 = 0. What is i?\nAnswer: -35, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-4\/13))\/t)**47\/(t**(-27)\/t**0) assuming t is positive.\nAnswer: t**(539\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:26 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 837*w - 60686 = -23*w - 18936 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*r + 65*r = -3*i - 5, 8*r - 65 = 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5110159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 7*i + 1. Let d be g(-7). Let l(r) be the third derivative of 11*r**2 - 1\/6*r**3 - 1\/3*r**4 + 0 + 0*r. Determine l(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + b**2 - b - 1. Let a(w) = -38*w - 2*w**3 - 3 + w**3 + 35*w + 3*w**2. What is -a(n) + 3*o(n)?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 19*s**2 + 7*s - 5. Let l(o) = -36*o**2 - 16*o + 10. Determine -5*d(a) - 2*l(a).\nAnswer: -23*a**2 - 3*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + 5 + 26 - (5 + -4 + -5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + 16 - (-248 + 180)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (254\/3)\/(26\/39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -9.12. Let n = v - 4.88. Let t = n - -8. Which is the closest to t? (a) 0 (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731460 is divided by 146166?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 51*d**2. Let v be s(-1). Suppose 2*o - 20 = -3*t + v, -3*o + 90 = -t. Suppose 4*m - r = -m - o, 3*r + 12 = 0. Which is bigger: -8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 12. Let t(y) = 4*y - 18. Let x be t(7). Suppose v*j + 0*j = x. Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 - 51 + 14*n - 54 - 55 - 65.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13430 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**15\/a)**15 assuming a is positive.\nAnswer: a**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 18540.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, o: 6}. Give prob of sequence ppo.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*l = 43786 - 43740, -x = -4*l + 41 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119471.\nAnswer: 37, 57283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 17*l**2 + 18*l. Let x be w(-18). Let y = -3.06 + 0.06. What is the nearest to -2\/3 in x, 1\/5, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/71535 and 23\/786885.\nAnswer: 786885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -19. Solve 4*a + 2 = 4*p + 10, a + 3 = z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 0) + (-4)\/((-120)\/(-90))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(5600) + sqrt(5600))*1 - sqrt(5600))*-6)\/(sqrt(392)*2 - sqrt(16)\/sqrt(2)*-2).\nAnswer: -15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:18 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**3 + 3*t**2 + 3*t. Let g(u) = 24*u**3 + 14*u**2 + 14*u. Let h be ((-12)\/(-14))\/((-44)\/(-154)). Determine h*g(i) - 14*q(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 143, 389, 737, 1187, 1739, 2393?\n\"Answer: 51*b**2 - 9*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28996929, 57993888, 86990849, 115987812, 144984777, 173981744?\nAnswer: 202978713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44505 (base 11) to base 14.\nAnswer: -19710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*w - 86 = -w, 16 = -4*w. 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: What is the third derivative of 3931*b**4*k + 7141*b**4 - 54*b**2*k + 2*b**2 - 23330*b wrt b?\nAnswer: 94344*b*k + 171384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -28. Let c = q + 26. Suppose -p - 3*x = -12, 2*x + x = c*p - 24. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**3 + 4*i**2 - 3*i + 4. Let g(h) = 9*h**3 - 5*h**2 + 4*h - 5. Calculate -4*g(l) - 5*u(l).\nAnswer: -l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/128 + -5555\/896. Find the common denominator of (-20)\/(-24)*6\/(-40) and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4272645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + 3*b**3 - 2*b**3)*(-5*b**2 + 2 - 2) + 4*b**4 - 2*b**5 - 4*b**4.\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9320*r**2 - 1 + 3036*r**3 + 512*r + 9318*r**2 - 1 - 225*r**3 wrt r.\nAnswer: 16866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-35)*105\/(-7)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 2*g, -7*p + 11*p - 3 = -5*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 3, -14, 2 in increasing order.\nAnswer: -14, 2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/20)\/(2660\/105450)*((-385)\/10)\/11\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**3\/6 - 2*w. Let k be p(-3). Suppose k*v + 0*v - 61 = z, 86 = 4*v + z. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 27, -78 in descending order.\nAnswer: 27, 2, -3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u, 3*n + 2*u + 14 = -2*u. Let r = -78 + n. Let b be (-4 - r\/24)\/(4\/6). Which is bigger: 1\/17 or b?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4248, -4225, -4186, -4131, -4060, -3973, -3870?\nAnswer: -3751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 2, -6\/7, 44, 1, 3\/7, -6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r + 3. Let q be 4\/(-14) + (-60)\/(-14). What is i(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 121, 150, 179, 208?\n\"Answer: 29*h + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 51 = -2*k, -3*b - 15 = -3*k - 51. What is the lowest common multiple of 3 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10917 - 10914. Let n = -0.05 - -3.05. What is the closest to y in -11, n, -2\/9, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-42)*n*n\/(n\/n**5)*n*n*n**(-1\/8)*(((n*((n*n**(-3)*n)\/n)\/n)\/n)\/n*n\/(n\/n**(-1\/2)))\/n**(-5\/9) assuming n is positive.\nAnswer: n**(-2741\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/20 and -117\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1931, 6353, 10775?\nAnswer: 15197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**4 - 180*z**3 - 837*z**2 - 660*z = 0.\nAnswer: -55, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + -2.03. Let d be 10*(-3)\/(-42) + -1. Let b = 162 - 1780\/11. What is the closest to f in b, d, 4\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.51 * -9.66143\nAnswer: 4.9273293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q - q + 31 - 40. Let z be t(-12). Suppose -1 = -z*u - d, u - 4 = 2*u - 4*d. Solve -2*p + 5*p - 2*o - 13 = u, -3*p = -3*o - 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 1275?\nAnswer: 11475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5694*k**3 - 5700*k**3 - 5690*k**3 + 17094*k**3.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + -0.8. Let j = -1.688 + 1.188. Which is the third biggest value? (a) z (b) j (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*g**2 - 2 + 2*g**2 - 3 - g**2 - 4*g**2 + 2*g**2 - 6*g**2 + 2*g**2 + (g + g**2 - g)*(4 - 5 + 0) in the form v*g**2 + m + i*g and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 1. Let x be f\/(-2) - 2 - -1. Let u be 17\/204 - (-2)\/3. Which is the second biggest value? (a) 4 (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16099608 and 11529.\nAnswer: 144896472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10074 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(13) - sqrt(13)) + -5 - ((sqrt(13) - (sqrt(13) + -2*sqrt(13)))**2 + 3)).\nAnswer: 12*sqrt(13) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6 - -1)\/(-5). Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 6*q - 5. Let c be v(6). Let z = 25 - c. Let m = z + 6. Solve 0 = 3*k - 0*n - 5*n + 31, m = k + n - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2093 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -375.170991531 - -0.171409531. Let i = -375 - d. What is i rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssjsesssdsds. What is prob of sequence ed?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + -10. Let m = v + 18. What is the highest common factor of 14 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**3 - f - 663*f**2 + 164*f**2 + 171*f**2 + 161*f**2 + 167*f**2.\nAnswer: 23*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3542 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(10\/(-5))*16*6\/2160?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/3065579 and -22\/836067.\nAnswer: 9196737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 5, -907, -69?\nAnswer: -907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrqqrrqq. What is prob of sequence qrrq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 7:29 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1055, -2084, -3095, -4082, -5039?\nAnswer: -5960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:01 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 7:30 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2840002.\nAnswer: 2, 11, 167, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20373 is divided by 1757.\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, -3, 11 in decreasing order.\nAnswer: 11, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 48, 102, 178, 282, 420?\n\"Answer: w**3 + 2*w**2 + 25*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 11:38 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 - 8566*r + 8566*r.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5 + 2*v**2 - 7*v**2 + v**2 + 12*v**2. Let f(a) = -9*a**2 - 6. Let k(t) = 3*f(t) + 4*z(t). What is the first derivative of k(i) wrt i?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(((l*l*l**(1\/3)*l)\/l*l*l)\/l))\/(l**(2\/9)\/l))\/(l**(-2\/5))**43)**(1\/22) assuming l is positive.\nAnswer: l**(749\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -23*l**2 + 3*l - 24. Let m be ((-4)\/3)\/(-3 + 23\/9). Let o(f) = 46*f**2 - 5*f + 47. Let p(i) = m*o(i) + 5*a(i). What is the derivative of p(t) wrt t?\nAnswer: 46*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2210002202 (base 3) to base 4\nAnswer: -31113131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**40)*u*u)\/(u**(2\/93)*u)*(u**(-2\/19)*u)**6 assuming u is positive.\nAnswer: u**(81895\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10103657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -108 (c) 2\/17 (d) -652 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 2329?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112144 and 1725192?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 0*v + 4*v)*(1 + 0 + 0)*(-1 + 4 - 1) + 5*v + 8 + 11*v - 10*v in the form j*v + t and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 3*m - 15, -8*f = -4*f - m + 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18760205 is divided by 815661.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 0. Let n = -6 - c. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {n: 1, o: 1, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/(25\/50)*-1. Is v\/(-5) + 907632\/165 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + -2446.\nAnswer: -2445.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1525*i**2 - 46*i + 20186. Let a(s) = -763*s**2 + 21*s - 10090. Let j(b) = -13*a(b) - 6*w(b). Differentiate j(n) wrt n.\nAnswer: 1538*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) - (-223)\/5. Suppose -5*y = t - 160. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 take away -480967?\nAnswer: 480932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -56.1 (b) -584 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 634999493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 2. Let z be g(1). Let v be (4\/4 + z)\/(-1). Suppose v = -8*s + 7*s + 10. Calculate the greatest common divisor of s and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82*f**5*n**3 - 30074*f**4*n**2 - 81336*f**2*n**3 + 14*f**2*n wrt f?\nAnswer: 4920*f**2*n**3 - 721776*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, -15, -51, -107, -189?\n\"Answer: -y**3 - y**2 - 12*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 464 and 8904740.\nAnswer: 35618960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**5\/4 - 5*l**2\/2 + 5*l. Differentiate s(b) wrt b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10169, 10168, 10161, 10142, 10105, 10044, 9953?\n\"Answer: -o**3 + 3*o**2 - 3*o + 10170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3678202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 11*b**2 - 6*b + 9*b + 5*b**3 - 10*b**2 - 2*b - 9 + 0*b to the form d*b**2 + p*b**3 + r + w*b + x*b**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*w - 324, -361*h + 359*h = w - 108. Solve i - 1 = 103*o - w*o, 5*i = 2*o + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*a - 107*a - 203 = 37 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70504 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67391 + 67517 = -6*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 3e?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 326 + 24. Suppose 4*b - 6 = q. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.04 + -0.04. Let o = 2.02 - w. What is the nearest to o in 2, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3036914981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - b + 342 = 0, -1740 = 5*m + 7*b - 6*b. Let q = m + 341. Put 1, q, 10 in descending order.\nAnswer: 10, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 802627?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from ooowwooooowo?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 16 + 158 + 76 + 23*p**2 - 7.\nAnswer: 23*p**2 + 312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 204929783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -166*v**2 + 12*v**2 - 111*v + 112*v in the form u + a*v + s*v**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016479 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + c**4 - 2 - 4*c**4 + c**4 + 2*c**4 + 2*c**4 + c**3 - c**3 + (2*c + 2*c - 3*c)*(c - c + 2*c**3) + 2*c**4 - 1 + 3*c - 3*c.\nAnswer: 6*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 + 17*z + 20*z - 45*z.\nAnswer: -9*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 32221 - 32209. Let z(w) = -9*w**2 - 4*w - 4. Let c(k) = -36*k**2 - 15*k - 15. Determine i*c(h) + 15*z(h).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 3.648\nAnswer: -10.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/5 + 56\/20. Let j(f) = 5*f**3 - 1 - 2*f**b + f**3 + 2*f**2. Let u be j(-1). Are u and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14423, 57716, 129877, 230912, 360827?\n\"Answer: q**3 + 14428*q**2 + 2*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.014 - -0.014. What is the nearest to g in -3\/8, -2\/3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.186219*2.\nAnswer: -0.372438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, 0.4, -1\/6, 0.9, 0.5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*p - 2*p + p)*(-4*p - 2*p + 2*p) + 17*p**2 + 5*p**2 - 2*p**2)*(44 - 18*p - 44) + 3*p**2 - 2*p**3 - 3*p**2 as c*p + d*p**3 + i + f*p**2 and give d.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -66*q**2 - 66*q + 51. Let v(y) be the first derivative of 5*y**3\/3 + 5*y**2\/2 - 4*y - 64. Let k(g) = 2*m(g) + 27*v(g). Solve k(n) = 0 for n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46413*p**3 + 41*p + 12747395 wrt p.\nAnswer: -139239*p**2 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (111\/42 - 15\/105)*(-44)\/55\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 36 + 8. Let m(n) = n**2 + 3*n - 2. Calculate the remainder when w is divided by m(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -22*d**2 + 3. Let y(x) = 110*x**2 + x - 16. Let c be (-13)\/(-8) + (-16 - (-3930)\/240). Determine c*y(g) + 11*o(g).\nAnswer: -22*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -427.4 - -428. Let n = -0.2 + f. Which is the biggest value? (a) n (b) 10 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 472051 divided by 4\nAnswer: 472051\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -63*b**2 - b - 206. Let h(r) = 179*r**2 + 3*r + 619. What is 6*h(c) + 17*l(c)?\nAnswer: 3*c**2 + c + 212","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -44 + 0*h**3 + 18*h - 10*h**6 - 1\/2*h**2 + 0*h**5 + 0*h**4. What is the second derivative of p(l) wrt l?\nAnswer: -1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -44, 57, 1?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7620935.\nAnswer: 5, 7, 23, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24159 - 17050. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167.87 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(304) - (sqrt(304) + 5 + 2) - (-3*sqrt(304) + -1)))**2.\nAnswer: -576*sqrt(19) + 11088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 g when three letters picked without replacement from {g: 2, j: 2, k: 1, x: 1, o: 1, m: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -10*o**3 - 52*o**2 - 648*o - 3196. Determine x(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -237676199 or -237676198?\nAnswer: -237676198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 - -2. Suppose 2 = 47*w - 39*w + 2. Sort u, w, -2, 1\/4 in ascending order.\nAnswer: -2, w, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2474906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 730431, 1460862, 2191295, 2921730, 3652167, 4382606, 5113047?\n\"Answer: j**2 + 730428*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 10. Give r(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -896 (b) -2\/3 (c) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.136 + 26.264. Let o = -29.4 + j. Which is the third smallest value? (a) o (b) -1\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-17) + (-824)\/(-68). Let b be ((-2)\/n)\/(16\/(-4)). Is -1 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -14, 1\/27 in descending order.\nAnswer: 3, 2, 1\/27, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6 + 3\/(27\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 5. List the prime factors of o(-13).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7275*k - 13*k**2 + 41 - 7277*k + 46*k**2 wrt k?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i*t**3 - 276537*i*t**2 + 483*i*t + 75*i wrt t.\nAnswer: -18*i*t - 553074*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(605) + sqrt(605).\nAnswer: 3 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1925, -3, 10 in descending order.\nAnswer: 1925, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (7 - 2) - -1) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1423847 (base 9) to base 11\nAnswer: -495838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11374.8597s in days?\nAnswer: 0.13165346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(-c - 2*c + c)*(0*c + 0*c - 2*c)*((0*c + 0*c + c**2)*(4*c - 4*c + 2*c) - 2*c**2 + 2*c**3 + 2*c**2).\nAnswer: -16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 16 - (-3 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (129\/78 + (-2)\/13)*4. Suppose 0 = i*o - 15*o. Which is greater: o or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -16. Let m(s) be the second derivative of -s**2 + 5\/12*s**4 + 2*s - 1\/2*s**3 + 3\/10*s**5 + u. Determine h so that m(h) = 0.\nAnswer: -1, -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(((t**8\/t)\/t)\/t))\/t*(t\/(t*(t**2*t*t)\/t)*t*t)\/t*t**(-2\/5)\/t**(-1\/3))**(11\/4))**(-1\/8) assuming t is positive.\nAnswer: t**(583\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -30*c + 3. Let m(t) = -t. Calculate m(x(j)).\nAnswer: 30*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 7\/5 (b) 8 (c) -5 (d) 0.583\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + z - 2)*(5 - 4 + 0)*(4 + 29 - 3)*(-2 + 0 + 6 - 3 + 4 - 3 + (0 + 1 - 2)*(-3 + 5 + 0) - 1 - 2 + 5) - 4*z - 2*z + 2*z as q*z + l and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(300))*-2)**2.\nAnswer: 80*sqrt(3) + 1207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.34287 and -2.8.\nAnswer: 3.760036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -55410?\nAnswer: 55402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/8 - 1610475*t\/8 - 16910649\/4.\nAnswer: 3*(t - 536846)*(t + 21)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81393298 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/44086 and -7\/6?\nAnswer: 132258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:29 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 4*v**3 - v**3)*(-3*v - 3*v + 3*v)*(-5 + 3 + 1).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x**2 + 1. Suppose 20 - 19 = -m. Give p(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 - 2*n + 8. Let v(o) = -4*o**2 - 2*o + 9. Let d(t) = -5*u(t) + 4*v(t). Let l(a) = -4 - 3 + 6. Determine -d(f) + 2*l(f).\nAnswer: f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 152 = 9*f - 12*f, 0 = -2*f - 4*v + 88. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/75270 and -29\/13804518?\nAnswer: 69022590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o - 35*o - 15 = 0. Solve 3*x = o + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 94*k**2. Let s(y) = 34*y**2 - 2*y. Calculate s(a(x)).\nAnswer: 300424*x**4 - 188*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -101, -213, -361, -539, -741?\n\"Answer: w**3 - 27*w**2 + 4*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*a + 489*a - 162 - 33 = 35 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130 or -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -1 - (18 + -35 + 6 - 21).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 15 = -b, 5*b = 4*h - 10 + 1. Does 35 divide 7*(1 + 2 + h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2338 - 754. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199 + 332. Let g = x - 107. Suppose -6*u = -3*u - 228. Calculate the remainder when u is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91469140*l**3 - 73536864.\nAnswer: 274407420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1787*u**6 + 2 + 2987763*u**2 - 2987762*u**2 - 1 + 1299*u wrt u?\nAnswer: -214440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 37. Let g = m + 24. Let b be g\/(-4) - 95999994\/4. What is b rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 - (-2)\/(-6). Suppose -z = -o - 15. Let l = -2 - -2. Solve 3*n - z + l = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**2 + 900*w - 15656 = 0.\nAnswer: 19, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -99149, -198243, -297335, -396425?\n\"Answer: t**2 - 99097*t - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, e: 1, y: 6, k: 1, g: 2}. Give prob of picking 1 e and 1 g.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 245814421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y\/y**(-9))))*(y*y\/(y**(-2\/33)\/y)*y)\/y*(y\/(y**(-2\/13)\/y))\/(y*y**(2\/9)))**(-13\/2))**(-46) assuming y is positive.\nAnswer: y**(-148235\/99)","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 {a: 5, j: 1, y: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.472 * 800.\nAnswer: 1177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93310\/209 - -8500\/19. Factor 16\/11*l**2 + 0 + 2\/11*l**4 + 8\/11*l + n*l**3.\nAnswer: 2*l*(l + 1)*(l + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33520189 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 18*w**3 - w. Let l(q) = q**3 + 5*q**2 + 3*q + 14. Let o = -120 + 115. Let v be l(o). What is x(v)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-60)*(-16350)\/545?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = c - 4*w, 0 = -4*c - 3*w - 2*w + 1. What is the second biggest value in c, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/15)\/y**4)\/(y**(-14\/3)\/(y*y**(5\/3)\/y)))**34 assuming y is positive.\nAnswer: y**(374\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 10) to base 3.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 11*y**3 - y + 8*y**3 + 1 + (-3*y**2 + y**2 + 4*y**2)*(-y - 3*y + 6*y).\nAnswer: y**3 - y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5778843 plus 0.35?\nAnswer: 3.9278843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260 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: Solve -60 - 87 = 277*g - 7072 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7074*i*s**2 + i*s + 1060019*i + 2*s**3 - s**2 wrt s?\nAnswer: 14148*i*s + i + 6*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (27 + 1) - (-8 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1677654\/46620 + 2\/140.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-4) + 736\/(-7038)*-34\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (46\/8)\/(30\/16). Let r = 22\/5 - v. Let c = -32\/105 + -1\/35. What is the third smallest value in -1, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqj when three letters picked without replacement from jqfqjjjqfjqj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 23672 and -0.4.\nAnswer: 23671.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 643.4 and -4?\nAnswer: -2573.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 75. Let y = p + 37. Let c be (4\/(-10))\/(y\/10). Solve -2*i + 6*i + c = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91195 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 25*v + 46 = 0. Let o(x) = -2 + 3*x + 0 + 9017*x**2 - 9019*x**v. Suppose -5*g + 10 + 0 = 0. What is o(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*h**3 - 2*h**2 + 834*h - 822*h + 2*h**2 as x*h + z*h**2 + j*h**3 + a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32985 = 9*t - 94500. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.2095nm in micrometers?\nAnswer: 0.2382095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279 = 292*y - 261*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - i = 7, -3*y + 3*i + 3 = -12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10302346\/3457 - 83947580375\/29370672. Let x = o + -7150\/59. Find the common denominator of 77\/16 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2555)\/10220)\/((-2)\/(-152)))\/((-1)\/3)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 247*y**2 - 15128*y - 15376.\nAnswer: -(y - 124)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:48 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -37 - 19. What is the common denominator of -3 - ((-60)\/q)\/(-3) and -71\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*z + 1, 2*f - 7 = -0*f - z. Solve f*h - h + 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 20*q - q. Suppose b - q - 10 = -p, 0 = -3*p. What is the smallest common multiple of b and 194?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -261188*o**3 + 6*o**2 + 4*o + 3. Let i be w(-6). Let r be (8803726\/(-4) + -2)\/(5\/90). Let z = r + i. Round z to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -68. Suppose c = k - 10*k + 2916. Suppose 8*q - 2*q - k = 0. Are q and 53 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 6*b**2 + 0*b - 4*b**3 + 5*b**3 - 6*b - 2. Let g be f(-7). Let n = 28 + g. Calculate the remainder when n is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7808.318 millilitres in litres?\nAnswer: 7.808318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -193*k - 962. Determine y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*sqrt(1100)*2 + 0 + -2*sqrt(1100) - (2 + (sqrt(1100) - (sqrt(1100) + (-1 + sqrt(1100) - sqrt(1100)) + sqrt(1100) + 2)))))**2.\nAnswer: 1980*sqrt(11) + 1197909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44563*v**3 - 1611*v**2 wrt v.\nAnswer: -267378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2260*o + 29475. What is y(-13)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 82900 - 82929 = 4*c, -2*c - 20 = -2*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11002202 (base 3) to base 4\nAnswer: 232232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 124*m - 3247. What is the remainder when 405 is divided by b(42)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 896 = -3*c + 7*c + 4*r, -2*c - 5*r + 454 = 0. Let k = c + -95. Let a(j) = 123*j + 3 - k*j - 2. What is a(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:13 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -295 + 286. List the prime factors of ((-13)\/5)\/(m\/1170).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, u: 10}. What is prob of picking 2 u?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)\/(t\/t**(1\/9)))\/(t**(2\/11)*t**7)*((t\/(((t\/(t\/((t**2*t*t)\/t*t)))\/t)\/t))**43)**(-4\/3) assuming t is positive.\nAnswer: t**(19409\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.1673 weeks in minutes?\nAnswer: 979446.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184087239169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -n - 5*n. Let u = -71 + n. Factor -24*l**2 - 12 + 32*l + 3*l**u + l**4 - 7*l**3 + 7*l**3.\nAnswer: 4*(l - 1)**3*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 15820.7?\nAnswer: -63282.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22009417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**5\/60 + f**4\/24 + 2*f**2. Let k be r(1). Suppose 5*h + k*h - 165 = 0. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -60*f + 1662. Calculate s(31).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a8 (base 13) to base 7.\nAnswer: -616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 387192*y - 12 - 393258*y + 12 to t*y + k and give t.\nAnswer: -6066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, 194, 0.4?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**5 - 1092*g**4 + 58896*g**3 + 1204112*g**2 + 2163840*g = 0.\nAnswer: -14, -2, 0, 105, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 5. Let x be h(7). Let s(b) = -b**2 - 5*b + 5 - 4 + 2*b**2 + x. Let v = 10 + -7. Give s(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 22447*o - 67363. Calculate k(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/50370 and 57\/713575.\nAnswer: 4281450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1125)*2 + -5).\nAnswer: -60*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 67.56695 seconds?\nAnswer: 67566950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0657 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008476774 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 146, 153, 160, 167, 174?\n\"Answer: 7*o + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 24*k**2 - 4*k + 80. Let w be m(24). Suppose r = 2*o + 5, 2*o - 6*o = -r + 13. Let v = r - w. Solve -8 = 2*g, 0*g = 3*u + g + v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 591 - 481 = -59*d. Which is the nearest to 1? (a) -0.4 (b) d (c) 7.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427*t = 447*t + 80. Which is the smallest value? (a) 51\/4 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312233 is divided by 26244?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 + -573\/4. Let s = -28\/65 - 529\/130. Sort s, -3, v in descending order.\nAnswer: v, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, g: 1, a: 1, x: 1, q: 2}. What is prob of picking 1 a, 1 q, and 2 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 365 = 140. Let b = -134\/3 + x. Factor -4\/3*h + 8\/3*h**2 + 0 - 5\/3*h**3 + b*h**4.\nAnswer: h*(h - 2)**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2, -5, -1666 in descending order.\nAnswer: 4, 2, -4, -5, -1666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 101257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**21\/v)\/v**(-27))\/(v**15)**(-2\/7))**(-2\/15) assuming v is positive.\nAnswer: v**(-718\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 7 = -4*f, 3*f + f - 2*g = 2. Let l(c) = 3 - 9*c**f + c - c**2 + 3 - 5. What is the remainder when l(-1) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r - 1090 = -28*r + t, -1098 = -3*r - 3*t. Calculate the lowest common multiple of r and 36.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g - 29 = -z - 25*g, g = -6*z. Sort 0.311, 1, -0.5, z in decreasing order.\nAnswer: 1, 0.311, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 935\/35 - 2\/(-7). Suppose -z - 5*t - d + 5 = 0, 0 = z - 2*t + 15. Let p = -6 - z. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 7:57 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*v - 30 = 72*v. Suppose 5*g - 9*f - 3 = -v*f, 0 = 4*g + 3*f + 3. Factor g - 3\/8*d**2 + 0*d**3 + 1\/8*d**4 - 1\/4*d.\nAnswer: d*(d - 2)*(d + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*y - x + 6, -3 = 4*y + x. Suppose -9 = -3*c - y*c. Solve c = 3*b, -6*n + 3*b = -2*n - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - 33. Let u = l - -57. What is the highest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-301)\/43)\/(-1 + 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 + (-87 - (37 + -170))?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156005, 624014, 1404029, 2496050, 3900077?\nAnswer: 5616110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 80. What is u(-24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2205 - 2205. Solve -4*u - 48 + 28 = m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2685370354 to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25462*l**2 - 5 + l**3 + 3*l**4 + 25460*l**2 - 8*l + 5*l to c + h*l**2 + g*l**3 + j*l**4 + z*l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 + 2 - 2 - 3 - 5*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from amzdabaaaca.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/7 - 27374*j**4 + 6119640188*j**3\/7 - 65149688973056*j**2\/7 + 65131331010560*j\/7 + 130287139815424\/7 = 0. Calculate j.\nAnswer: -1, 2, 31936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*n**3 - 7*n**2 + 11*n**2 + 26*n**3 + 790 - 8*n**2 as i*n + x + o*n**3 + r*n**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*d - 523, -3*d - 2*i + 420 = 110. Let n(x) = -98*x. Let j be n(-2). Suppose d + j = -a. What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - (-4 - -88) - -47 - (-6 + -1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/7)\/m*m)**(14\/11)\/((m\/(m*m**(-3\/8)))\/m**(-14)) assuming m is positive.\nAnswer: m**(-1169\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/63307912 and 37\/16.\nAnswer: 126615824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 = 4*v - 9*v. Suppose -2*k + 3*n + 79 = 0, 4*n + v - 30 = 2*k. Let i be 60\/(2 + 5\/(-4)). What is the greatest common divisor of k and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2447000 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 103*p = -11*p - 1330 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 3*c**2 - 3*c. Let w(f) = f**3 - f**2 + f. Let b = 73 + -75. Let z = -6 + 5. Let x be 3\/(1 + b) + z. Give x*w(n) - i(n).\nAnswer: -2*n**3 + n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13*z**2 - 46*z + 98. Let l(v) = 6*v**2 + 23*v - 40. Let k(i) = 9*l(i) + 4*w(i). Give k(-14).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -s + 5548 - 894, 5*s = 8*k + 23264. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2387 and 2766082.\nAnswer: 600239794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35282668, 35282659, 35282644, 35282623?\n\"Answer: -3*g**2 + 35282671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (713 + 923 + 1126 - 173 + 485)*(-2*y**2 + y**2 - y**2).\nAnswer: -6148*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -4\/5, 17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*s**4 + 9*s**4 - 43*s**4 + (-3*s**3 + 4*s**3 + 0*s**3)*(4*s - 3*s + 0*s).\nAnswer: -50*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4093 (base 13) in base 15?\nAnswer: -298d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 23*w - 70 = 0, 40*t - 30*t - 54 = -3*w for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5318143?\nAnswer: 31, 171553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/217 and 59\/434.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31508 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592235 to the power of 1\/2, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2\/3, -4842.648 in descending order.\nAnswer: -2\/5, -2\/3, -4842.648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 - 123\/(-6). Let s be v\/16*-1*20. Let p = 36 - s. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3198*s**3 + 1. Let j = -17 - -25. Let n be 4*2\/j*-1. Is w(n) 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 -136, -248, -360, -472, -584?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/292 and 16\/69277.\nAnswer: 277108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*m + 2*m + 6*m)*(-m - 3*m + 5*m) + 6*m**2 - 2*m**2 - 3*m**2 - 2*m**2 + 4 - 4.\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 16*w**2 - 13*w - 36. Give t(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let h = -15 - -18. Solve h*z - 2 = 2*g, -v*g - 3 = -5*z + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 32*j**7\/21 - 2*j**6\/15 - 305*j**3 - j**2 + 47*j - 4. What is the first derivative of z(v) wrt v?\nAnswer: 1280*v**3 - 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 14)\/(-5)*-1. Let n(f) = 10*f**3 - 7*f - 7. Let l(j) = -8 + 2*j + 6 + 2*j**3 - 5*j**3 + 4. What is b*n(x) - 7*l(x)?\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00084547636 rounded to 6 dps?\nAnswer: 0.000845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 161\/72 - -40063\/72. Let g = y - 33679\/60. What is the common denominator of ((-284)\/(-24))\/(8\/(-6)) and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31 + (-3 - -2))*-1. Let z = 91 - 55. Let i = z - g. Solve i*s = -2 - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0 (c) -257\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**4 - 16937*w**3 + 64351 wrt w?\nAnswer: -4*w**3 - 50811*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1049*w**2 + 18*w + 101. Let l(n) = 1063*n**2 - 19*n - 102. Let x(b) = 6*l(b) + 7*z(b). What is the second derivative of x(s) wrt s?\nAnswer: -1930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 63675, 63688, 63737, 63840, 64015, 64280, 64653?\n\"Answer: 3*w**3 - 8*w + 63680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/27 and (-2 - 3)\/5 - (-40)\/(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 355619\/750 - 2845\/6. Is -0.1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 3)*(-4*p + 3*p - p).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(-1)*(-16)\/24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x + 0*x**5 + 2*x**4 + 0*x**2 + 0*x**3 + 5\/3*x**6 - 5. What is the third derivative of l(k) wrt k?\nAnswer: 1200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -15*u**2 - 13. Let y(v) = -7*v**2 - 6. Let w(g) = 6*s(g) - 13*y(g). Let r(c) be the first derivative of 32*c**2 - 2*c - 215177. Calculate w(r(t)).\nAnswer: 4096*t**2 - 256*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -38.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 5. Let z(b) = b**2 - 5*b - 2. Let w be z(6). Let y be j(w). Let v be -3 + (52\/(-6))\/((-8)\/12). Solve -5*h = 5*f + v, -4 = h + h + y*f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39559338, -39559336, -39559334, -39559332, -39559330, -39559328?\nAnswer: -39559326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i - 15 = -30*i + 70 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -154, -350, -546, -742, -938, -1134?\n\"Answer: -196*d + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76229 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 228707180 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2. Let o(q) = -q**3 - 6*q**2 - 11*q - 10. Let u be o(-4). Let g(l) = -5*l**2 - 6*l**2 + 172*l - 5*l**2 + 17*l**u. Calculate g(p(z)).\nAnswer: 4*z**4 + 344*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 3. Suppose 0 = 5*q - t - 16, 0 = -7*q + 2*q + 4*t + 19. Let g = q - d. What is the highest common divisor of 24 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*s + 10*s - 11 - 135. Let j = -0.2 + 0.8. Which is the smallest value? (a) s (b) j (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)*1*2 + sqrt(200) + (sqrt(200) + 1)*-6 - ((-1 + sqrt(200))*5)**2*5.\nAnswer: -25131 + 2470*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -4095 and 34539.\nAnswer: 30444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w + 36. Suppose 4*j = 2*x - x - 18, 2 = -5*x - 3*j. Let n be 2\/((-24)\/39)*(-8)\/x. List the prime factors of i(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 921460*b - 921464.\nAnswer: 4*(b - 1)*(b + 230366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (7663230\/(-75))\/((-4)\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11*(r**(1\/4)*r)\/r)\/(r**(1\/11)*r**4*r*r) assuming r is positive.\nAnswer: r**(227\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.35 + -0.05. Suppose -y = 4, -4*t + 5*y + 25 = t. Are t and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211 (base 7) to base 4.\nAnswer: -13001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18835571 a multiple of 2017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140 + 4041?\nAnswer: 4221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 225 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.8 - -5.86. Let u = -0.06 + n. Let c = -0.2 + 1.2. Is u bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + 21*j - 44. Give k(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4 + 46*w**3 - 379*w**2 - 424*w = 0. Calculate w.\nAnswer: -53, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 778.\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -496, -570, -534, -388?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 967572184 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07014 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*c + 3*v, 2*v + 6 + 1 = 3*c. Find the second derivative of 5*w + 0*w - 8*w + w**c wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 50 = -16*t. Calculate the remainder when t is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238326 divided by -3454.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 13*y**2 + 10300*y + 290700. Give g(-763).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b9349 (base 13) to base 12.\nAnswer: 1293499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56421?\nAnswer: 3, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006581619705 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*d**2*k**3 + 19*d**2*k - 2*d**2 + d*k**2 + 30*d*k + 81164*k**3 - 518*k wrt k?\nAnswer: 156*d**2 + 486984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345.0340186 - -0.04624.\nAnswer: -344.9877786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577040.\nAnswer: 2, 5, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/147*9*7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2*q - 2*q)*(q + 3*q - 5*q) + (4 - 2*q - 4)*(-2 - 2*q + 2) + 5*q**2 + 2*q**2 - 17*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/12*88)\/(-1). Calculate the highest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 116411 - -1?\nAnswer: 116412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(120)\/sqrt(4) + sqrt(30)))\/(sqrt(30)\/sqrt(20)) - (sqrt(1715)*-1)\/(sqrt(14)\/sqrt(2)*-1))*-4.\nAnswer: 92*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -166, -248?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 + 3*c + 5*c**3 - 4*c**3 + 3*c in the form a*c**3 + s + l*c**2 + p*c and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (-5*(sqrt(50) + -4) - sqrt(50))).\nAnswer: -57 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -12 + -59 + 69?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25a0 (base 11) to base 10\nAnswer: -3377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 14, l: 5}. What is prob of sequence lh?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 33*x + 185. Give g(14).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j + 16664 = 1432 - 8168. What is the highest common factor of 234 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*n - 11 = 0, n = j - 3133 + 3137 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1615\/8 - -202. Let p = 3.5 - 0.5. Let t = p + -1. Sort t, 0, m in ascending order.\nAnswer: 0, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4828 take away 2875383.43?\nAnswer: -2870555.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - o - 25, 0 = -12*b + 11*b - 5*o + 7. Let m(h) = h**3 - 9*h**2 + h + 2. Let j be m(9). Calculate the highest common divisor of b and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.3 * 6487339\nAnswer: 86281608.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.32312607316 + 484\nAnswer: 481.67687392684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 29*r**3 + 4*r**2 + r + 1. Let h(z) = -86*z**3 - 11*z**2 - 2*z - 3. What is 11*g(x) + 4*h(x)?\nAnswer: -25*x**3 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3558 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.1. Let g = 159 - 126. Let v be (-10 + 9)\/(g\/6 + -2). Put v, -3\/2, z in descending order.\nAnswer: z, v, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 27*q = 4280. Is -428 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17\/1122)\/((-22)\/165). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -955684 from 3.7.\nAnswer: 955687.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4891\/8295 - 21\/79. Find the common denominator of 73\/532 and y.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/61 in 0.5, -2, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -203*i**3 - 2*i**2*n**3 - 2*i*n - 1482*n**3 - 4*n**2 + 3*n wrt i?\nAnswer: -609*i**2 - 4*i*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89319*y - 17*o = -89317*y + 153, -2*o = 2*y + 108 for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 0\/(-1 + -1). Does 13 divide 29 + -3 + (-1 - y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18*1*(-83)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27848 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 + 216 + 297 = -156*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1032 - 1025. Let q(f) be the third derivative of 0*f**3 + 1\/224*f**8 - 8*f**2 + 0*f**4 + 0*f**5 + 0*f**6 + 0*f + 0*f**j + 0. Factor q(c).\nAnswer: 3*c**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + j - 667, -4*p + 208 = 5*j - 313. Calculate the highest common divisor of 16750 and p.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 28. Let g = a + -22. Let y = 0.6 - 0.2. What is the nearest to -1 in -0.5, g, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(24\/(-240)*(-2 + -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*r = 4 + 12, 0 = 5*k + 2*r - 25. Suppose -k*s + 105 = -39. Suppose -4*t - s = -7*t. Round t to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46 + 49 - 69 - 13*o**2 wrt o?\nAnswer: -26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161*(-18)\/630*5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 11. Let z be j(11). Suppose 2*r + 2*l - 28 - 6 = 0, z = 4*r + l - 59. Solve -5*s - r - 6 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 + 2*g - 27. Let n(q) = 3*q - 90. Let p(a) = 5*a - 144. Let d(x) = -8*n(x) + 5*p(x). What is d(s(f))?\nAnswer: -3*f**2 + 2*f - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-15))\/(28\/420). Suppose f + 0 = -4. Sort f, -10, -2, c in descending order.\nAnswer: c, -2, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + x - 6. Let l(c) = -6*c**2 - 2*c + 12. Determine 7*b(m) + 4*l(m).\nAnswer: -3*m**2 - m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4\/2 - 747*p**3 + 94482*p**2 - 368277*p + 549081\/2 = 0.\nAnswer: 1, 3, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -3*o - 48 + 32, -4*o = -3*l + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414101422 (base 5) in base 12?\nAnswer: 12859b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let z = -337 - -334. Put 0.07, z, n in increasing order.\nAnswer: z, n, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 1175*v - v**4 - 1174*v - 2*v**2 - 10 + 1 to the form q*v + o + k*v**4 + y*v**3 + r*v**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1766 + -1183. Let b = -84 + h. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1216 - 2035 = -57*n - 686. Let t = -7 - -55. Which is bigger: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 217, -9134, -24719, -46538?\n\"Answer: -3117*n**2 + 3334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -636, -733, -830, -927, -1024?\n\"Answer: -97*b - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10829383 and 1263?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h - 16. Let g(b) = 13*b + 33. Let r(c) = 6*g(c) + 11*l(c). Calculate the smallest common multiple of r(0) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -25 - (1 + 1 - 14 - -7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16552 + -16554. Let a = 0.09 + 17.91. Let r = a - 13. What is the second biggest value in r, b, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-3)\/(-15))\/((-18)\/(-90)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 291.3149 weeks in nanoseconds?\nAnswer: 176187251520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*v - 68. Let y = -19 - v. Which is the closest to -9? (a) -1 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1010729*o + 775203?\nAnswer: 1010729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20 = -2*t, 5*r = -0*r - 2*t - 7. Let g be (-10 - -20)*((-6)\/4 + 1) + 0. Sort 7, g, 0, r in ascending order.\nAnswer: g, r, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + c + 1. Let j(g) = -5*g**2 + 6*g + 6. Suppose -12*s + 26 = -46. Let d(w) = s*n(w) - j(w). Let u(y) = -3*y**2 - 2*y. What is u(d(f))?\nAnswer: -3*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 (base 6) in base 8?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {m: 4, h: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + v**2 - v - 1. Let f(b) = 4*b**3 - 6*b**2 + 6*b + 6. Suppose 11*x + x + 840 = 0. Let l = -71 - x. Let z(i) = l*f(i) - 5*j(i). What is z(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1138.1 + 1140.2. Is f < -1.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.807 - 4.807. Which is the closest to -1? (a) 1\/11 (b) f (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 29*y**2 - 181*y - 206. Give h(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 9*j - 18. Let r be a(10). Let o = 30 + r. Is (20 - o) + 39 + (-1)\/1 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 27 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 28\/2519, 3\/10 in increasing order.\nAnswer: -4\/9, 28\/2519, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.72 + -0.8. Let u = -1.08 - s. Which is the nearest to 1\/4? (a) -3 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 14 = -4*s. Let y = -0.2 - -0.2. Let j be (23\/(-35) - (-1)\/(-5)) + 14\/49. Which is the second smallest value? (a) j (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1010000101010010010111000?\nAnswer: -1010000101010010010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 22 - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(10)\/sqrt(72) + -3*((sqrt(5) - (sqrt(50)\/sqrt(2))\/sqrt(5)) + sqrt(5)))**2*4.\nAnswer: 1400\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20574467 (base 8) to base 11.\nAnswer: -252871a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6512 is divided by 3256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8*h = 0. Suppose -k + 7 + 0 = h. Suppose 4*v + 2*w - 64 = 46, -5*v + 130 = -5*w. What is the remainder when v is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -385 + 387. Let l(q) = 1 - 5*q + 6*q**2 - q**r + 4 - 8*q**2. Suppose 5 = 2*d + t, 2*t + 30 = 5*d + t. Let j(z) = 3*z**2 + 6*z - 6. Give d*j(s) + 6*l(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*x + 781, -3*p - 3*x = -745 - 32. Calculate the smallest common multiple of 102 and p.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 55*m**2. Let t(l) = 8*l**2 + 2*l + 3501. Calculate t(o(n)).\nAnswer: 24200*n**4 + 110*n**2 + 3501","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 5*g = -12418. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*b**2*h**2*n**3 + b**2*h*n + 2*b*h**2*n**2 - 7*b*h**2 - 73*h**2*n**3 wrt n.\nAnswer: -60*b**2*h**2 - 438*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 33*j + 3*j + 28 + 64 - 92 - 2*j**2. Let h(o) = -24*o. Calculate h(u(n)).\nAnswer: 48*n**2 - 864*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 - 39 = -3*l. What is the units digit of (l\/3)\/((-8)\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:51 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1548 - 1543. Solve -2 = -2*z, -g*h = -4*z + 34 - 25 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 5533 + 3190 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 5*q**2 - 4. Let c be 2\/5 + (-54)\/(-15). Let n(y) = -y**2 + 1. Let s(h) = c*n(h) + p(h). What is the units digit of s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-21) + 295\/70*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193885715141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -135. Let g be 2*21*y\/(-70). Is (-567)\/g + 1\/4 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + g. Let j(z) = -z**3 + 2*z**2 - 3*z - 3. Let c(b) = j(b) + 3*k(b). Let m be c(0). Let r = m - -4. Solve w = i - 7, -w = 3*i - r - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.9, -2, -1\/2325, 4, -3 in ascending order.\nAnswer: -3, -2, -1\/2325, 4, 7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 68, 132, 212, 314, 444, 608, 812, 1062?\n\"Answer: u**3 + 2*u**2 + 51*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 12. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.8 take away -3208320?\nAnswer: 3208349.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Suppose -2*v - 135 = -7*v. Let w be v\/(-3)*(-7)\/3. Calculate the greatest common factor of a and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 251*b + 516. Calculate u(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.021 times 1\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 8. Let k(x) = 2*x - p - 2*x - x**2 - 8*x. What is the units digit of k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*o - 6 = 4*f, -3*o = 4*f + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + x**4 + 8*x**4 + x**4 + 2*x - x**3 - 8*x**4 to f*x**3 + m*x**4 + u + r*x + n*x**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15619 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: b\"What is the cth term of 43, 125, 239, 379, 539, 713?\n\"Answer: -c**3 + 22*c**2 + 23*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*o**4 - 649*o**3 - o**2 + 74097*o - 2 wrt o?\nAnswer: 72*o**2 - 3894*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -143. Let x = -75.0000012 + f. Round x to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16904670 is divided by 1973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 - 5*n**2 + 20*n - 3. List the prime factors of a(10).\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153282441583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 25*o**3\/6 + 65*o**2 + 114*o. Let q be a(-5). Solve -2*y + r + 6 + 2 = 0, 0 = q*y - 5*r - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 4, h: 2, k: 3, w: 4, j: 1}. What is prob of picking 2 w and 1 u?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 98161083223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/9))\/(b\/b**(-3\/4))*(b\/b**(-1\/3))**(-5\/4))\/((b\/(b**(1\/3)\/b))\/b*b**(5\/6))**3 assuming b is positive.\nAnswer: b**(-257\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3833 - -3835. Solve 0 = y*a, 4*j - 8*a - 20 = -3*a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-4\/5)*i**(-2\/33)*((i**7*i)\/i)\/i**7 assuming i is positive.\nAnswer: i**(287\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 4528273?\nAnswer: -1811309.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3011968.04 rounded to the nearest ten thousand?\nAnswer: 3010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 + -11 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 28*w - 1556. Give h(55).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1088) - (sqrt(1088) + -4)) + 1 + sqrt(1088))*6 + -3*(3 + sqrt(1088)*3)**2)*1.\nAnswer: -29373 - 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 + 34 - (-14 - -17 - 3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*j + 2051*j - 27 + 918*j.\nAnswer: 3130*j - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**3 + 3*w**2. Let u = 17 - 25. Let m(r) = -r**2 - 3*r + 2. Let s be m(-3). Let p(j) = -2*j**2 + 14*j**3 + 9*j**s + j**2. Give u*l(b) + 3*p(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21395822?\nAnswer: 2, 7, 211, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4574718, 4574719, 4574720, 4574721?\n\"Answer: v + 4574717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*x - 282 wrt x.\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 0.051 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, o: 9}. What is prob of picking 3 p?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10366\/10)\/(27\/135). What is x rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 9*r - 13. Let t be a(-6). Let n = -74 + t. Suppose 4*b = 2*m - 0*m - 292, n = 3*b. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -732 by -1.\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + v**3 - 3*v**3 - 2 + 3*v**3 - v**4 + v**3 as a*v**4 + s*v**2 + n*v**3 + d*v + r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 8:55 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, j: 6}. What is prob of sequence jaa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 931.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 3)*(47*f + 41*f - 31*f)*(7 - 2 - 3) in the form y*f + h and give y.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 15*x + 57. Let k(q) = 14*q + 23. Let l(a) = -29*a - 45. Let u(f) = 13*k(f) + 6*l(f). Let o(v) = -5*u(v) + 3*y(v). What is the units digit of o(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024*d + 1038*d = -98 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1065 = 110. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5638, -5635, -5632?\nAnswer: -5629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10808.59 millimeters in kilometers?\nAnswer: 0.01080859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 31?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15162514 + -12?\nAnswer: -15162526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(637) - 2*sqrt(637) - sqrt(637)) + -2 - sqrt(637)))**2.\nAnswer: 84*sqrt(13) + 5737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -64*o. Let u(m) = -6264*m. Give p(u(f)).\nAnswer: 400896*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.92 + 0.08. Let f = -3.9 - -7.8. Let s = j - f. Put s, -0.2, 0.2 in increasing order.\nAnswer: -0.2, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*o + 22327 = -501*o. Let z(h) = 2*h**3 - 4*h**2 - 2*h - 3. Let n be z(-3). Let v = n - o. Which is smaller: -9 or v?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426098 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 8797920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30554 in 17, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:01 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7 - f + 0*f + 4. Let p be ((-1100)\/(-70) - 16) + 58\/7. Let j be u(p). Solve a = 5*y + j*a - 8, -2*y - 5*a - 1 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by 2\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 580 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 3)*((-6*y + 8*y - 8*y)*(-1 + 4 - 1) - y - y + y) + y + 2*y + 5*y.\nAnswer: 125*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9 = -117. Let s be (-15)\/g*3 - 1. Which is the third biggest value? (a) -4\/3 (b) 4\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001687 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -285. Is 10118\/16 + -1 + (-99)\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1377*d + 1041*d - 445*d.\nAnswer: 1973*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258574548 and 6972.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 32*u + 50. Which is the third smallest value? (a) 3 (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*a - 32. Suppose -5*y + 0 = -10. Solve -a = 4*p - 5*k, -y*p - p + k - 8 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 - 0.08. What is the closest to 2 in 0.1, -4, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -3 + 0*b**3 + 0*b + 3\/4*b**4 + 3\/2*b**2. Find the second derivative of p(z) wrt z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u**5 + 3*u)*(-540 - 55 + 1069).\nAnswer: 474*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3 + 86*(-3)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c**(-4)\/c))\/c**3)\/(c**(-3)\/(c*c\/c**(4\/3)*c)))**12 assuming c is positive.\nAnswer: c**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 y when four letters picked without replacement from {r: 8, y: 6, d: 3, e: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccu when three letters picked without replacement from {u: 3, c: 2, p: 3, b: 1, v: 2, t: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3.8. Let g = 9.6 + 5.2. Let m = -15.2 + g. Which is the biggest value? (a) k (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 - (-72)\/42. Suppose -6*q - 134 + 134 = 0. Sort q, 3, w, -1.\nAnswer: -1, q, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 2)*(-20 + 6*q + 20) to y + s*q and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.0454, -2\/95, -6\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 9*a**2 + 11*a + 10. Let g be f(-10). Suppose 2*r + 0*r - 2 = g. Is (-14)\/(r*(-4)\/58) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8191 is divided by 2632.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.8 and -134269 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -14. Let r be (u - 1)*1 - -16. Suppose -21 = -2*o + r. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 25 = -5*o. Let m = -10 - o. What are the prime factors of m\/((-40)\/14 - -3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {n: 2, w: 9, h: 1, g: 1}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 = t + 3, 0 = -5*g - 2*t - 9. Let r be 12*g\/(-48)*4. Find the second derivative of -5*i + 12*i + 9*i**3 - 7*i**r wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 14. Let t be z(-15). Which is the smallest value? (a) -4 (b) 1\/30 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20984*c**3*g**2 + 468*c**2*g**2 + 6*c**2 + g**2 wrt c.\nAnswer: 125904*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 1 = 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 60*y + 74. What is the hundreds digit of r(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 1. Let h(f) = -5*f + 4. Let m(v) = -4*c(v) + h(v). Let n be (-1 + 4)*3\/9. Let y(t) = -3*t + 2. Determine n*y(i) - 4*m(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155*h**2 + 181*h**2 + 5*h**2)*(-3*h - h + 2*h)*(1 + 1 - 3).\nAnswer: 682*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -2.4595.\nAnswer: 9.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - k**2 - 5. Let j(f) = -3*f**3 + 8*f**2 + 3*f + 25. Let l(q) = -4*g(q) - j(q). Give l(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2977 and 15\/229.\nAnswer: 2977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -6*w + 7 - 27, 0 = 4*l - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*o - 12500 - 17627, d = o + 7531. What are the prime factors of d?\nAnswer: 2, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -138.5001126 + 138.5. Round c to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*i - 265041 - 111633 + 105582 = 0. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -172 - -176. Factor 20*o**3 + 194*o**2 - 99*o**2 - 87*o**2 + 8*o**q.\nAnswer: 4*o**2*(o + 2)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let k(n) = -1452181511*n. Determine c(k(m)).\nAnswer: -1452181511*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.834761 minutes?\nAnswer: 0.03057935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.3 - -2.9. Let n = -160.6 + t. Let g = n - -174.00000083. What is g rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-34)\/4 + 9)*(-1619)\/(-6). Let o = -135 + j. Let t = 2.9 - 0.9. Which is the closest to -2\/5? (a) -2 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118404?\nAnswer: 2, 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2113 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -3*d + 4*r + 8, 10 = -2*d - 5*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/65)\/(1\/(-40)). Solve 3*i + b = 5*r - 3, 2*i - 5*r = -16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/6749 and 37\/902778.\nAnswer: 15347226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 21. Solve -1 = -a*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t. Let k(i) = 43*i**2 - 3. What is k(w(p))?\nAnswer: 688*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(135) - (1*sqrt(135)*-1 + sqrt(135) + sqrt(135)))\/(sqrt(48)*-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102362.4567 milliseconds to weeks.\nAnswer: 0.00016925009375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**2 - 2*t**2 + t**2)*(-4149*t - 333*t + 247*t - 633 + 635) as v*t**2 + d*t**3 + g*t + x and give d.\nAnswer: -8470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 5*s - 3*s)*(-2*s - s - s)*(0 + 5*s + 0) as b*s + x*s**2 + u*s**3 + j and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.009 + 0.004. Is -1 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56448765.\nAnswer: 3, 5, 257, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a meter in millimeters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5 - 4 - 5*t + 2*t + 2*t. What is the remainder when z(-8) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -13. What is the remainder when (-87)\/(0 + 3)*o is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1438 = -8*w + 5*w, -w - 2*g = -486. Suppose 0 = 19*v - 5*v - w. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/(-618) - (-61 - (-22204)\/366)?\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 248\/225 - 11\/9. Is n less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - 28. Let t be (-95)\/y + 2\/(-4). Factor 0 + 4\/7*c - 10\/7*c**3 + t*c**2.\nAnswer: -2*c*(c - 1)*(5*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2786718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-54))\/(1\/(-2)*1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3352 - 3352. Let i be 0\/2 - -1 - 0. Let x be i*(-1 - -3 - 10). Sort x, -5, p in descending order.\nAnswer: p, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*x + 28*x + 21*x + 26*x - 197*x + 28*x + 59*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/14025 and 83\/1496.\nAnswer: 112200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 38 + 2*g - 76)*(-71*g**2 + 141*g**2 + 3 - 58*g**2).\nAnswer: 24*g**3 + 84*g**2 + 6*g + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 + 414\/5. Let q = 376\/1935 + 6\/215. Put h, q, 2, -0.1 in increasing order.\nAnswer: -0.1, q, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*u + 106*u - 4671 + 4669 as w + p*u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100988.\nAnswer: 2, 25247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108\/35 - -14\/5. Which is bigger: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sijlwlwns. Give prob of picking 1 w and 1 j.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.44759 days in hours?\nAnswer: 2122.74216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 94*x - 94. Let j be z(48). Solve -31*c + 145 = -j*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 415*n**4*s*t + 2061*n**3*s*t - 2*n**3*s + n**2*s*t - 3*n**2*s - 52*n**2 + 6*n*s*t + 5*s*t + 2*s wrt n.\nAnswer: 9960*n*s*t + 12366*s*t - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 150*g + 726. Calculate the smallest common multiple of 54 and v(-4).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -350\/257, -5, -7 in ascending order.\nAnswer: -23, -7, -5, -350\/257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 11 - 27 + 3 + 295*u**2 to p*u + k*u**2 + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 41.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*(sqrt(152) + -6*sqrt(152)*2))\/((6*sqrt(88)*2)\/sqrt(11)))**2.\nAnswer: -11*sqrt(19)\/6 + 2443\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -11*s - 145. Suppose 0 = -3*q - 67 - 152. Let c = 42 - q. Calculate the remainder when c is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*h - 4*h + 90000 = 0. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 - ((-2)\/(-2) + 0) is divided by -12*(-3)\/6 - -13?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15047391?\nAnswer: 3, 5015797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -910*w**3 - 114*w - 4 wrt w.\nAnswer: -5460*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 8. Let t be x(-4). Suppose -4*p - t*j = 156, -3*j - 10 = 2*j. What is the remainder when p\/((-2)\/(-2 - -4)) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155350 is divided by 498.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -907994\/11 or -82545?\nAnswer: -907994\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q - 7. Calculate j(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1531, 1533, 1535, 1537, 1539, 1541?\nAnswer: 1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.270286cm in kilometers?\nAnswer: 0.00002270286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48\/(-3 + 6) + 5 + -11 + 0 and 4885?\nAnswer: 9770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004102606 to 5 decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-22) - (-6044)\/(-88). Let d = 70 + t. What is the third biggest value in d, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l**2 - 3*l + 61. What is s(-9)?\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*7\/((-168)\/(-304)). Suppose -8 + h = 15*j. Solve -j*x - 3*c = -8, -3*c + 5 = 4*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + -1. Let u = i - -9. Suppose -2*v - 49 = -l, -3*l + 5*v - 4*v + 162 = u. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4624*c**3 - 11663088*c**2 - 3430020*c - 252200 = 0. What is c?\nAnswer: -2522, -5\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 324187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13313*m**2 + 13313*m**2 - 2*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -1141, -2571, -4539, -7027, -10017, -13491, -17431?\nAnswer: -21819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -303321, -303326, -303331, -303336, -303341?\n\"Answer: -5*q - 303316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -3, -0.92 in descending order.\nAnswer: -0.92, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -244.2 + -64.3. Let f = -222 - q. Let o = f - 86.5000591. Round o to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -32*u. Suppose -4*k = 3*g - 0*k - 7, 2*g - 3*k - 16 = 0. Let z(l) = -3*l + l + g*l - l. What is h(z(t))?\nAnswer: -64*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 80*a**3 - a**2 - a + 1. Calculate h(-1).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2113990.\nAnswer: 2, 5, 179, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a4b6 (base 12) in base 3?\nAnswer: -121201100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**28*h*h)\/h**17*(h*(h*h**(1\/6))\/h*h)**2 assuming h is positive.\nAnswer: h**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 109 + 31 + 43 + 6*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 - 1620*d**2 - 1581*d + 19404 = 0. Calculate d.\nAnswer: -539, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 2\/15 (b) -0.5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 17\/(-34) + 1 + (-11)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 403\/(-372) + 2\/24. Sort d, 14, -10.\nAnswer: -10, d, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - f + 20, 3*q - 2 = 5*f + 10. Suppose -y + 20 = 2*p, -3*p + 2*p - q = -3*y. Let n(d) = 2*d**2 - 8*d - 4. Is 20 a factor of n(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4979.987715 - -4980. Round n to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 246?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3\/10, -1.19, 1 in decreasing order.\nAnswer: 1, 0.3, -3\/10, -1.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*m + 3. Suppose i = -2*i - 4*a - m, 3*a + 12 = 0. Let o(j) = 16 - i*j - 16. Let l(r) = 7*r. Calculate l(o(n)).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5604 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 + 46\/115. Is o > 7\/300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q**2 + 42*q + 84. What is m(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/4 and -131\/7740?\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -41121030 (base 5) to base 14\nAnswer: -89320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 586 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4 - 8. Suppose u = 2*b - 7, j - 15 = 3*u + 2*b. Let h be 18\/15*u\/(-2). Solve -2*r - 2 = 5*z + h, 2*r - 4*z - 22 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*o + 21057 + 19138 = 9570 - 14871 for o.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/8)\/((34\/(-36))\/((-19142)\/1689)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syn when three letters picked without replacement from {h: 1, s: 1, n: 5, y: 2, q: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203532 (base 8) to base 4.\nAnswer: 100131122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 69\/26321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**4*k - h**4 + 13*h**2 + 3*h*k + 27*k wrt h?\nAnswer: -12*h**2*k - 12*h**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-486) - (-160)\/(-27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1252439 to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45602\/5 - 22197\/5*j - 1\/5*j**3 + 60*j**2 = 0 for j.\nAnswer: -2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6700706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1093643486834947 + -0.3.\nAnswer: 1093643486834946.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 + 10 - 5)\/(-3))\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 - 20\/(-15). Is (u*-5)\/((-2)\/22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -259341.\nAnswer: -259341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 2*k = 3 - 3. Let p(z) be the third derivative of -1\/300*z**6 - 12*z**2 + 1\/60*z**4 + k*z + 1\/75*z**5 - 2\/15*z**3 + 0. Factor p(h).\nAnswer: -2*(h - 2)*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by -170?\nAnswer: 67\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 5:10 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - c**2 + 84*c - 741. Determine w(8).\nAnswer: -1157","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 11, y: 1, v: 3, o: 2, q: 2}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-172)\/(-8) + (-1)\/2. Let q be a - (-3 + 3 + -1). Suppose 2*s - 32 = q. Calculate the remainder when s is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4\/7 + 27100*n**3\/7 - 4663464*n**2\/7 + 18328592*n\/7 - 2602880 = 0.\nAnswer: -13720, 2, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35\/385 - (-208)\/(-110). Suppose 2*c - 2*j + 66 = 5*c, 0 = -3*c - 3*j + 69. Let v be c\/15*2\/(-20). What is the second biggest value in 2, -0.2, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -154, -170, -198, -238, -290?\n\"Answer: -6*r**2 + 2*r - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 206 and -180.\nAnswer: -37080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/217 and -11\/279?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8184 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 1 + 2 + 190*v**3 - 191*v**3 - 25*v**2 to the form b*v + c*v**3 + k + m*v**2 and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5870042 to 3 dps.\nAnswer: -1.587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 150, 507, 1072, 1845?\n\"Answer: 104*h**2 + 45*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 7:16 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*y + 405 - 345 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h**3 + 9127 - 29*h**4 - 9118 - 4*h**3 in the form l*h**4 + k*h**3 + s*h**2 + y*h + m and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16110 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1860 divide 92475480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 + 97. Is f <= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p = -21*p + 3, -3*l + p + 895 = 0. Solve -40 = -l*w + 306*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2 - u - 2. Let p(z) = -17*z**2 - 5*z - 8. Let a(k) = 2*p(k) - 9*s(k). Let m be a(3). Let g = 26 - m. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*t - 35 = -5, -5*z + 2*t + 64 = 0. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**4 + r**3 - r + 1. Let x(h) = 7*h**4 - 6*h**3 + 6*h - 10. Let q(l) = 6*g(l) + x(l). What is the derivative of q(y) wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 345042?\nAnswer: 1725210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 - (-14)\/8. Let y be 1\/3*3 + (9 - 3). What are the prime factors of (y - 1)*2*z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -74 + (-3 + 15 - (18 + -24 - -25))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44354, -44343, -44332?\nAnswer: -44321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 330 + 2*h**3 + 2*h + 3*h**2 - 330 to the form v + r*h**2 + m*h**3 + k*h and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -907, -906, -905, -904, -903?\n\"Answer: q - 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*u - 5 = 0, 43*r - 4*u = 39*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*v**3\/7 - 116902803*v**2\/7 - 111336063*v + 38967621 = 0. Calculate v.\nAnswer: -7, 1\/3, 12989207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 1032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1997 - 1356. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/2042722 and -83\/17827392?\nAnswer: 196101312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -30 + 6. Suppose -10 = 2*k, -4*k - 592 = m - 5*m. Calculate the remainder when m is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12 + -99*(-30)\/45. Solve -j = -33*d + 24*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4010970 (b) -5 (c) -0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {p: 1, e: 2, v: 4, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r - 18*r + 215804. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 70 = -6*h. Suppose h*j = -4*u + 66, -4*j - 8 + 62 = 2*u. Solve 5*g = y + 22, j = -y + 4*g - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2282\/(-7824)*(72\/28 + -3).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 6*z + 539. Let g be (-3)\/2 - z\/14. Does 3 divide g\/(-3*8\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l + 4*u - 3, 4*l + u = 9. Suppose -6*g + l = -7*g. Let o(a) = 4*a - 2. Let z(m) = 9*m - 4. Give g*z(q) + 5*o(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 1, z: 2, c: 4, t: 1}. What is prob of picking 3 m?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4085*a**3 + 378 - 188 - 4075*a**3 + 8158*a**3 - 190.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 12. Let h(m) be the third derivative of m**6\/120 - m**5\/12 + m**4\/24 - 5*m**3\/6 - m**2. Let c be h(5). Determine r(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 129, -6, -4, 3, 1, 6 in ascending order.\nAnswer: -24, -6, -4, 1, 3, 6, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3088186 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 (base 9) in base 4?\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfffnfnnnnnnfffnfff. What is prob of sequence fff?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-3)\/(-24)*4. Solve v*j + 1 = 5, 5*p = -5*j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - u + 5. Let o = -3 + 6. Let a(x) = 3*x**2 + x - 6. Let v(i) = o*a(i) + 4*p(i). What is the units digit of v(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405089.04 + 0.06829.\nAnswer: -405088.97171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.057 + -8.989. Let y = m - -22. What is y rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 - -736. Suppose 2*p + p - g = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3 - 1. Suppose 10567*y - 10569*y + 6 = 0. What is the smallest common multiple of y and (0 - v)*(-10 + 3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 - 0.098\nAnswer: -0.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (103\/(-42) - 12\/(-42)) + (13 - 11). What is the second biggest value in u, 2, 3\/125?\nAnswer: 3\/125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1 + -1 + 1. Let j = 3 - d. Suppose -m + 4 = -2*r + j, 0 = -5*m - 4*r + 24. Solve 0 = 2*b + m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8622.\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.7944 - -0.2254. Let u = -0.151 + f. What is u rounded to one dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y + 13*y - 23*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3928860 divided by 156\nAnswer: -25185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 59?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2552 or -12758\/5?\nAnswer: -12758\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 904541 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 1\/2*d**2 + 1\/12*d**4 + 0 - d + 5\/6*d**3. Calculate g(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 285.\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(228) + (sqrt(228) - (sqrt(228) - ((sqrt(228) + (sqrt(228) - sqrt(228)*1) - sqrt(228)) + sqrt(228)))))*-2)\/sqrt(12).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*13.382.\nAnswer: -1.3382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 185, 364, 549, 740, 937, 1140, 1349?\n\"Answer: 3*i**2 + 170*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -584649, 2, 3 in ascending order.\nAnswer: -584649, 2, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -745.87743 rounded to two decimal places?\nAnswer: -745.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/13 - 2*b**4\/13 + 84*b**3\/13 + 392*b**2\/13 + 656*b\/13 + 384\/13 = 0. What is b?\nAnswer: -3, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.94338 - 0.05662. What is the nearest to 24 in 0.4, k, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 13 = 7. Suppose 0 = 5*r + a*r - 837. Suppose 2*q = -2*l + 32, 0 = 5*q - 3*l - 159 + 55. Calculate the remainder when r is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -20, 882, -0.227?\nAnswer: -0.227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*m, -3*z - 15 = m - 258. Let x = -47 + z. Let o = x + -20. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-15))\/(-2*5\/(-40)*-2). Factor y*g**2 + 2\/5*g**3 + 1\/5*g**5 - 3\/5*g + 1\/5 - 3\/5*g**4.\nAnswer: (g - 1)**4*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -0.1 (c) -2\/145 (d) 0.5 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 3)\/(4\/168). Which is greater: y or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 k, and 1 v when three letters picked without replacement from {k: 5, o: 6, h: 1, v: 5}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-14) + (-687)\/(-21)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 33*f**2\/2 - 2*f + 466. Let z(o) = -4*o. Give z(h(x)).\nAnswer: -132*x + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 315193*g**4 - 14*g**2 + 1421*g wrt g?\nAnswer: 7564632*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxxn when four letters picked without replacement from {o: 4, x: 2, c: 4, i: 3, n: 1, u: 6}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1936\/(-24) + 19\/(-39) + 698\/4537.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 502487355 by 100497471.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2026?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-21) + -2 + (-1558)\/(-3444).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:09 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, -4, -0.19 in descending order.\nAnswer: 13, 4, -0.19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in years?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4 + 946*q**3 + 110432*q**2 - 339864*q = 0 for q.\nAnswer: -238, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29927 and 24.\nAnswer: 718248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -513 - -860. What is the tens digit of m\/5 - 4\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418 times -3196.5\nAnswer: -1336137","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -24\/23?\nAnswer: -24\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 2*g)*(-3*g**2 - g - g + 0*g**2).\nAnswer: 6*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.0914853 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 212*i - 1969. Is 81 a factor of u(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37935 - 8311 = 56*o. Suppose 3*l + 5*q = 293 + 510, -o = -2*l + 3*q. Calculate the highest common divisor of 70 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 425 and 850?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1800 (base 10) to base 13.\nAnswer: -a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 2*s + 2*s)*((5 - 4 - 2)*(-4 + 3 - 1) + 0 + 3 - 1 - 8 - 2 + 3).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0434485 litres in millilitres?\nAnswer: 43.4485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {z: 3, h: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.1? (a) -19 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - y + 2)*(-3 + 12 - 4 + (-1 + 0 + 4)*(-3 - 1 + 2)) to the form o*y + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/65)\/(((-1)\/(-4))\/(2460\/2952))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 15*x = 42*x + 215 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28135 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 19, -944, -5, -3.\nAnswer: -944, -5, -4, -3, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, e: 1, k: 8}. What is prob of sequence gge?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 89 - 90. Which is the third biggest value? (a) i (b) 0.3 (c) -632\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 178335, 178337, 178335, 178329?\n\"Answer: -2*g**2 + 8*g + 178329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117) + 2 + 5 + 2 - (1*1*sqrt(13) - (1 + sqrt(13) + 2))**2) + 5.\nAnswer: 5 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 1, e: 1, c: 2, h: 2}. Give prob of sequence cho.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6054 and 38107912.\nAnswer: 2018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1839882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231732358?\nAnswer: 2, 11, 13, 810253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -84*o + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 687 + -665. What is the highest common factor of i and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 45 + 58 + 0*i + 93.\nAnswer: i + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eebh. What is prob of sequence eebh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5824 (b) -16 (c) 0.4 (d) 11 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*b + 11 = 0, -2 - 12 = -5*d + b. Let m be d\/2*(-5)\/(-15). Suppose -i + m + 1\/2*i**2 = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23805 or 0.2596?\nAnswer: -23805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 32. Let d(p) = 57*p + 6. Is d(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*i = -33*i - 1057326 - 57060. Does 182 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 + -15 - -13 - -10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6513 is divided by 107.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/(-30))\/(9\/(-53895)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351\/14*244\/(-366) - (-4)\/(-14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7*(24528\/147)\/(-16). Let u be 1\/2*(2 + -8). Sort z, u, -1.\nAnswer: z, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -490271*y - 7844316. Determine m(-16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 482 times -0.26\nAnswer: -125.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21025, 21026, 21027, 21028?\nAnswer: 21029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 303, 1 in descending order.\nAnswer: 303, 38, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1916, 15223, 51336, 121661, 237604, 410571, 651968?\n\"Answer: 1901*r**3 - 3*r**2 + 9*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*d + 18. Let f be 3\/((d\/(-4))\/3). What is the second derivative of -141*i**f + i - 3*i + 133*i**2 wrt i?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2464199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6819996?\nAnswer: 2, 3, 547, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34060 divided by -52.\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -6.3614.\nAnswer: 44.5298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 1:41 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by -4 + (-90)\/(-24) + (-145)\/(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 2:38 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9939230 less than 9939234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 436048028 to the power of 1\/3, to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*l**2 + 1 + 18*l + 18*l - 40*l + 81*l**2 as i*l + f*l**2 + c and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 3*d**2 + 5*d + 10. Let h be w(7). Suppose -3*a + h = 5*c, -18*c = -2*a - 23*c + 365. Is a a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 - 172*m - 56. Let y be v(-57). Let b(p) = -5*p. Calculate b(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23936 + -766027\/32. What is the common denominator of a and 49\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30*41\/205*-1)\/98?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 - -31) + (-8 - -1) + (-254 - -275).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 5. Let g = 37 - 74. Let a = -37 - g. What is the closest to a in -0.4, s, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18771, -37528, -56267, -74982, -93667?\n\"Answer: z**3 + 3*z**2 - 18773*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, k: 5, a: 4}. What is prob of sequence aaa?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21616 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1419241*r + 1. Let t be o(-1). Suppose t = -3*z - 710758. What is z rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*w - 2200599 = 8*a, 3*a + 1320354 = 3*w. Let m = a + -32881. Round m to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22213 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 5*g - 3*g - 2*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**3 - 2*z**2 + 2*z - 1. Let j = -33 + 26. Let d(p) = p + 10. Calculate the lowest common multiple of d(j) and w(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l + 2 - 2*l - 2*l. Give m(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2\/9 + 536*h\/9 + 532\/9 = 0.\nAnswer: -133, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/236776 and 23\/680.\nAnswer: 1183880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2397860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(2\/17)*w)\/w)\/(w**(3\/7)\/w))\/(w**3)**49)**(3\/32) assuming w is positive.\nAnswer: w**(-52233\/3808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 151 * -28792.\nAnswer: -4347592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6055287661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 11. Let x(k) = k + 5. What is 4*b(j) - 9*x(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5135 + -4563. Calculate the greatest common factor of 44 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((40362\/(-56))\/(-31))\/(9\/12)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1276.\nAnswer: 1\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10218 and 351.\nAnswer: 91962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**5 - 150*p**2 + 9*p + 6?\nAnswer: 20*p**3 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/180)\/(1\/8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 48. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 - 82*q**2 - 15*q + 332. What is f(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 12*u + 13. Give p(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22947951 or -1\/2?\nAnswer: -22947951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - sqrt(300)*-2*4)\/(sqrt(1000)*-2))\/(sqrt(810) + (1*sqrt(810) - sqrt(810)) + sqrt(810) + (sqrt(10) - 6*sqrt(50)\/sqrt(5))).\nAnswer: -9*sqrt(3)\/260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -18. Which is the nearest to -0.1? (a) -5\/2 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2098bb (base 16) in base 11?\nAnswer: -1229aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 28. Factor 0 + 3 - t - b - 4 + b**2.\nAnswer: (b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -119\/3?\nAnswer: -119\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2835)\/6*3*(-16)\/60. What is the highest common divisor of 108 and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - -32. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*f*n**3*y**3 + 167*b**3*f*n**3*y - 3*b**3*f*y**2 - 2*b**2*f*n**2 - 69*b*f*y + f*n**2*y**3 wrt n?\nAnswer: 12*b**3*f*y**3 + 1002*b**3*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f - 138*f + 348 = 985 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53726 is divided by 26861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 6148a8?\nAnswer: 6148a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 57265*f + 229044. Determine p(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {f: 1, o: 3, l: 1, b: 2, y: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 310424676 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3154*0.8794.\nAnswer: -2773.6276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 50*x**2 + 6*x + 11. Is v(-3) 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) 1 (b) 10 (c) -4 (d) 9 (e) 113 (f) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/413 and 660\/20 - 39 - ((-8667)\/472)\/3?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 390\/(-26)*17\/(-5). Let t = 24 - 41. Let d = t + j. Calculate the remainder when d is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -16063, 1\/3, 2\/13, -5 in descending order.\nAnswer: 1\/3, 2\/13, -2\/13, -5, -16063","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 23*s - 8. Let g(m) = 2*m**3 + 2*m**2 - 9. Let a be g(-2). Calculate o(a).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q = -44*q. Suppose -2*l - 5*v = 11, 5*l = 2*v + v + 19. Suppose -5*j - 4*f + l*f = -9, -2*f + 4 = 0. Solve 2*m + j - 7 = q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -9634910\nAnswer: 9634920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4 = -k, -4*k - 3*s - 39 = -55 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/(-10)*(-5)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1503, 6015, 13535, 24063, 37599, 54143, 73695?\n\"Answer: 1504*l**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-20)\/(-15))*29*13\/16965.\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 3:05 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 98622 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056 a factor of 388584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (346*c - 333*c - 311*c)*(-c + 2 - 2 + (-1 + 1 + 4*c)*(-1 - 2 + 5)) to the form r + g*c + k*c**2 and give k.\nAnswer: -2086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/8 and 2\/4 + 574\/(-168).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.52 or 474?\nAnswer: 474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58907? (a) 5 (b) 3\/8 (c) 2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*i = -5*m - 260*i + 80, 2*m - 7 = 3*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 94?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 432*d**3 - 2*d**2 + 299*d + 2. Let t(g) = -2160*g**3 + 10*g**2 - 1498*g - 11. Let i(u) = -11*f(u) - 2*t(u). Find the second derivative of i(a) wrt a.\nAnswer: -2592*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/9 - 50749892*q**2\/9 + 16916632*q\/3.\nAnswer: -4*q*(q - 1)*(q + 12687474)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 26648 = -z - 0*y, 4*y + 106544 = 4*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*(-3)\/(-63) + 2 + (-200)\/105\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**2 - 13*b - 14. Let z be j(-1). Solve -z*l = 3*t + 22, t + 26 = -3*l - 4*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9 + (-10)\/(-6). Let j be ((-4)\/3)\/(h\/(-3)). What is the second smallest value in 0.3, j, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 3430?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/336*-8)\/((-3)\/(-21)*22)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 664*t + 1344.\nAnswer: -4*(t - 2)*(t + 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.356 rounded to zero decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.3 (b) -4\/7 (c) 0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 113*d**2 + 276*d + 10. Determine b(-3).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38789 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 0, -2\/5, 2.8, -0.1, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184 + -101. Let t be (2\/(-5))\/((-2)\/80). Let c = w - t. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.7 and 6112829?\nAnswer: 6112830.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, 23, 0, 21 in descending order.\nAnswer: 23, 21, 6\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 3)*(1 + 1 - 3) - 1 + 1 + 1)*(-2 + 2 - 2*r - 2).\nAnswer: -6*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in -5\/3, -11\/9, -5?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4533265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(8)*4 - (sqrt(224)\/sqrt(4))\/sqrt(8)) + ((0 + sqrt(28))**2 - sqrt(7)) + -2*-4*sqrt(7).\nAnswer: 10*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 59*b**2 + b - 4. Let n(s) = 117*s**2 + 2*s - 7. Give -4*n(f) + 7*x(f).\nAnswer: -55*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000828024631 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + j - 2*f + 6, -3*f = j + 5. Let n be 7 + 1 + 4\/j. Let l(z) = z + n*z - z + z. Let r(k) = -k**2. Give r(l(v)).\nAnswer: -49*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 158461, 316972, 475483, 633994, 792505, 951016?\n\"Answer: 158511*x - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 2395*i**3 + 11865*i - 9948. Differentiate s(r) wrt r.\nAnswer: 14370*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2196125?\nAnswer: 5, 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 2*c**3\/3 + 6*c**2 - 2739*c. Let z(d) = -44*d**2. What is z(x(g))?\nAnswer: -704*g**2 - 4224*g - 6336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*6\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4392784463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 589, 585, 581, 577, 573, 569?\n\"Answer: -4*o + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) -3\/4 (c) 4 (d) -4543 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2fb5e (base 16) to base 12.\nAnswer: -95112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 0.8, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 3:56 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/12)\/(1\/(-24)). Let c(k) = 5*k**2 + 18*k - 24. Is c(f) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 7*k**2 - 14*k - 4. Let x be p(-3). Suppose 4*u + 29 = u - 4*b, -2*u - 4*b = 26. Is 11 a factor of x\/u + 204\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 359421489 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 350297*a = -350301*a - 24, 2*a + 92 = 11*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(1872) + (0 + sqrt(1872))*4)**2.\nAnswer: -720*sqrt(13) + 67417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1)*(-22 - (-14)\/1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 + 915 - 2743 = -43*p - 449 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35261 is divided by 929.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 35*l**2 - 2*l - 1. Let t(r) be the first derivative of -r**4\/4 + 2. Let d be t(1). Is a(d) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274458083 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394*n - 263 = 2101. Let b(i) = -6*i**3 + 6*i + 4. Let j be 1\/(-2)*(-2 - 8). Let u(q) = -7*q**3 + 7*q + 5. Give j*u(a) + n*b(a).\nAnswer: a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10084, -21104, -32124, -43144, -54164?\nAnswer: -65184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5266 - 1.5337308. Round b to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2 + sqrt(275) - sqrt(275)) + -2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**3)\/t)\/t*t*t**(1\/4)\/t)\/((t*t*t**(1\/2))\/(t\/(t**(-1\/6)\/t))) assuming t is positive.\nAnswer: t**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -27 + 7. Let o(m) = -6*m + 2. Let s be 3 - 1\/((-1)\/4) - 3. Let z be (-2)\/(s - (-14)\/(-4)). Let c(l) = -5*l + 2. Determine a*c(u) + z*o(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3 + 294801*x**2 + 7256873064*x + 715543999632 = 0. What is x?\nAnswer: -49084, -99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2, -p + 14 + 16 = 4*a. Suppose 4*q - 7 = 5*i, 3*q - a*q - 2*i = -14. What is the nearest to -4 in 1\/9, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - 25 - (-12 + -16 + 13)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45033636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 2597*l**6\/6 - 237*l**3 + 270. What is the third derivative of c(j) wrt j?\nAnswer: 155820*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(7\/1))\/(40\/(-12)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 4*c + 7*c - 2*c**3 - 5*c + 4 to x*c + b*c**3 + r*c**2 + m and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.81895 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e7c28 - 1bd?\nAnswer: e7a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -85796*m**2. Let a(t) = 895*t. Give d(a(w)).\nAnswer: -68724740900*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-d + d + d) + 3*d + d + d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 32*l - 10*l)*(-6*l**4 - 3*l**4 - 5*l**4).\nAnswer: -210*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = -11*c - 9. Solve u + 5*f - 1 = 0, 4*f - 15 = c*u + f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13449.785 to the nearest one hundred.\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1174*y**2 + 1615*y**2 + 6 - 2 to the form x*y + s + g*y**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + -7)\/5 + 53974. Let p be (i\/16)\/((-9)\/6). Let u = p + 2239. Find the common denominator of u and 35\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2852 + -2850. Let c(k) be the third derivative of 0*k - 2*k**3 - k**4 + 7\/20*k**5 + 1\/8*k**6 - 4*k**f + 0. Factor c(q).\nAnswer: 3*(q - 1)*(q + 2)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -33*f - 63. Suppose 3*x - 3*l - l = 6, 11 = -4*x - l. Let t be w(x). Solve -2*o = -8, -t*a - 2*o = -0*o - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 10:19 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -9*a**8\/56 - a**5\/4 - 1657*a**4\/12 + 1554*a. Find the third derivative of h(v) wrt v.\nAnswer: -1080*v**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = -5*z - 22. Let l = z + 46. Let n be 0*(-1)\/l - (-1 - -1). Solve 21 = -3*t + 3*w, 5*w + n*w - 17 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -7. Let z be (-79)\/x + 6\/21. Is z\/44 - (-477)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 3*q**2 - 2*q**2 + 0*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/14707 and 9\/10505.\nAnswer: 73535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-450)\/(-66) + -7 - (-38)\/88.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 1230.\nAnswer: 13530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*b - 15. List the prime factors of 3\/((-18)\/b)*903\/(-14).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8524a + 4?\nAnswer: -85246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2\/13 + 30798*f\/13 - 645876\/13 = 0.\nAnswer: 21, 15378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 537 + -533. Solve 8*r + i = 4*r, -3*y - 3*r + 3 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 160*g**3 + 17*g**2 - 20*g. Let n(p) = 53*p**3 + 6*p**2 - 7*p. Calculate -6*d(y) + 17*n(y).\nAnswer: -59*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 7 - 60*v + 60*v + 7 - 19*v**3.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 50.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 < 18\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135 + 136. Let i = -8 + -22. Let c be (i\/(-25))\/((-1)\/(-5)). Solve n + c = t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 6*s + 5. Let c be i(6). Let r = 31 - 15. Let k = r + -11. Solve -k*p = m - 4, -9 = -5*m - c*p + 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 + -92. What is the remainder when 67 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1100*v - 62*v - 44632 - 28027 = 395*v for v.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/2))**(16\/5)*(u**3)**(-17))**(-11\/8) assuming u is positive.\nAnswer: u**(2717\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -1319608?\nAnswer: 1319611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 6760. Let c = -940 + x. Let p be c*640\/(-35)*1050. What is p rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/57*1)\/(6\/4)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3555 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(0 - -4) - -37. Let c = 38 - d. Let i(z) = -z - z**2 + 0*z**2 + 2*z. Let m(s) = -2*s**2 + 3*s. Determine c*m(j) + 5*i(j).\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 946 and -865?\nAnswer: -818290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + m - 2 = -0*c, -5*c + 18 = 3*m. Which is smaller: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 21 - 7 = 0. Let r = -16 + q. Let l = r - -22. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) - -2*sqrt(130))*2 - sqrt(130) - sqrt(130))*-6)\/((sqrt(1440) - sqrt(1440)*-2)*-6).\nAnswer: -7*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b + 23. Give t(9).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44844686 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 20 = 0, -4*b + 3*i + 12 = -0*i. Suppose b = -5*p + z - 21, 6*p + 9 = 3*p - 3*z. What is the units digit of p\/7 + (-263)\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 12:32 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 - l - 2. Let k be p(3). Suppose -g + 59 = -k. Suppose -z - g - 1416 = -5*b, 3*z - 1502 = -5*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = 5*q - 13*f - 2995, q - 605 = f. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96957144.\nAnswer: 2, 3, 23, 58549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 3*z**2 - z + 3. Let v be c(3). Suppose -2*y = 5*y + 14. Let m be v - y - 4\/2. Solve -6*w + 3*w + 12 = m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 448, 1\/2, 1, 2\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 384915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 325 + -327. What is the closest to 0 in 0.2, l, -667?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuyyyuuu. What is prob of picking 2 u?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from hwwwwwwwhhw?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 4*z = -17*o - 12, 0 = -4*o + z + 15. Which is the nearest to 1? (a) 1\/4 (b) o (c) 3\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100011 (base 2) to base 10\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(6050) + 3)**2.\nAnswer: 6050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:54 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*n - 90*n + 6 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u*u**(-1)))\/u)*u*u\/u**(-26\/7)*u\/(u**(1\/10)\/u)*u**16)**(-21) assuming u is positive.\nAnswer: u**(-5169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -23*g**4\/24 - g**3\/2 - 9*g**2. Let u(f) = -34*f - 4. Let i(x) = -5*u(x) + 7*y(x). Let n be 2\/3*(-3)\/(-2). What is i(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-2)\/8)\/((732928\/(-4608))\/409).\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 16*c**4 - 110*c**3 + 105*c**2 + 101*c - 103. Let z(p) = 7*p**4 - 55*p**3 + 53*p**2 + 51*p - 52. Let q(l) = -4*u(l) + 9*z(l). Let q(g) = 0. What is g?\nAnswer: -56, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 7) in base 13?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 22.31962 minutes?\nAnswer: 1339177.2","meta":{"dup_signals":{},"source":"measurement__conversion_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: What is the units digit of (-1)\/7*18*-7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-15)*((-279)\/57 + 8\/(-76)). Solve 4*j - 7*j = 4*l - 29, -f*j - 7 = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let o(y) = -5 + 2*y + 0*y + t. Let n(d) = 41*d**3 + d**2 + 3*d - 4. Let g be n(0). What is o(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1029 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983065.7l to millilitres.\nAnswer: 983065700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 389 and 316 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1470, 3711, 6726, 10515, 15078, 20415?\n\"Answer: 387*x**2 + 1080*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*b + 11 + 26 = 0, -74 = -2*g - 3*b. Let c = -39 + g. Sort c, 2, -0.01 in descending order.\nAnswer: 2, -0.01, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2433790 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o - 318 = 24 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, 2664, 58\/9?\nAnswer: 58\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 0*k - 14 = -5*s + 4, k + s = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(704) + ((4 + sqrt(704))*3 - sqrt(704)) + -5 - (1*sqrt(704)*5 + sqrt(704) - (sqrt(704) + sqrt(704) + -3 + sqrt(704) + -1 + sqrt(704)))))**2.\nAnswer: 48*sqrt(11) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/239512 and 85\/119756.\nAnswer: 239512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 2 + 3 + 1)*(-3 - 3 - 2)*(-z**2 + 5*z**2 + 2*z**2) to the form p*z**3 + m*z + q*z**2 + b and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 80 - 50 - 99?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5ddd1 (base 15) to base 13\nAnswer: -a67b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.164*-19.\nAnswer: 3.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 587 + -584. Let s = 4 + -8. What is the second biggest value in r, 2, 0, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -3*a - 2*a - 3*a + 12*a - 62 - 15, 0 = 4*o - 12 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2069*o - 2. Let f(d) = -11*d. Give f(u(t)).\nAnswer: -22759*t + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + -2 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h. Let k(g) = 5855767*g**2 + g. What is d(k(j))?\nAnswer: -11711534*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 40889, -48.\nAnswer: -48, -10, 40889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3619 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 13*k - 21. Let h(o) = 3*o - 5. Let q(l) = -9*h(l) + 2*t(l). Let y be q(4). Let a be 1*y*(0 - 1). Is a at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53092 is divided by 17697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52017796*c**4 - 4*c**2 - 52018463*c**4 - 2*c**2 - 1 to l*c**4 + x*c**2 + i*c**3 + h*c + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 68925992100 rounded to the nearest one million?\nAnswer: 68926000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 - 20*f - 21. Suppose -8 = -4*d - 4*b, -b = 4*b - 15. Let w(q) = -1. Let c(u) = d*p(u) + 6*w(u). What is z in c(z) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q**6 + 1\/6*q**3 + 0 + 0*q**4 + 1\/70*q**7 + 0*q - 4*q**2 + 0*q**5. Differentiate p(a) wrt a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19687603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 - b + 1. Let c(o) = 2*o**2 - o + 1. Give 5*c(l) - 3*p(l).\nAnswer: -5*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*o - 266, -v - 3*o + 70 + 164 = 0. What are the prime factors of v?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(11) + -3*sqrt(11) + 5 - sqrt(11)).\nAnswer: -3*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23244, 23199, 23154, 23109, 23064, 23019?\n\"Answer: -45*v + 23289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -1. Let s = w + 0. Let q = -439\/5 - -88. What is the nearest to 3 in s, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 663 (base 9) to base 14\nAnswer: 2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 803 divide 59764881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70031, 139883, 209737, 279593, 349451?\nAnswer: 419311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - -4. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x - 4*x**2 + 54*x**4 + 2*x**3 - 53*x**4 + x to k*x**4 + q + z*x + o*x**2 + i*x**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -2.8553?\nAnswer: -8.8553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -53*g - 1261. What is the least common multiple of 1481 and w(-24)?\nAnswer: 16291","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 + 7*w**2 - 4*w + 3. Let q be h(-4). Let x be (2052\/45)\/(q\/10). What is the greatest common divisor of 38 and x?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -342 or -1\/6652?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50623 + 11?\nAnswer: -50612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -6, -1, -0.03, 19\/2 in increasing order.\nAnswer: -6, -1, -0.03, 0.5, 19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + 0 + ((-1*(-2 + sqrt(448) - sqrt(448)))**2 - (5 + sqrt(448)*-1)) + 1 + 5.\nAnswer: 2 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, g: 3, r: 7, m: 4, b: 1}. Give prob of sequence hgb.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2. Let h(w) be the third derivative of -15*w**4\/4 - 5*w**3\/3 - 632*w**2. What is h(m(i))?\nAnswer: -90*i**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*p - 146*p - 7073 = -98 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -2\/3, -77, 46, 12 in descending order.\nAnswer: 46, 12, -2\/3, -3\/2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxcwwwxxtwvv. Give prob of picking 1 l, 1 c, and 1 x.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 375 and 17405568?\nAnswer: 2175696000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-995*w + 497*w - 283*w**3 + 498*w - 427*w**3)*(1 - 4 - 6).\nAnswer: 6390*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 11:40 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 719485 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732 = -2*m + 2*l + 564, 2598 = 4*m - l. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(4)*-6*-5)\/(-1*sqrt(512) + sqrt(8)).\nAnswer: -15*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-106 - 549 - 6*c - 2*c + 10*c).\nAnswer: -4*c + 1310","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 10 + 2 + 5. Let h(x) = 5*x - 8. What is -3*h(g) + 8*k(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-5250)\/(-39)) - (-1015)\/(-50750)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -263050 or -263052?\nAnswer: -263052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29, -12, 9, 34, 63, 96?\n\"Answer: 2*l**2 + 11*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from eeeeerbreeebee.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**2\/5 - 104*g\/5 + 448 = 0.\nAnswer: -40, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + sqrt(128))*5 - 4*(-1 + sqrt(128))).\nAnswer: -6 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/s)\/(s*s**(-1\/6))*(s*s**(2\/5)\/s)\/s**(2\/9))\/((s**2\/s)\/((s\/((s*s\/((s*s*s*s**(-3)*s)\/s))\/s))\/s)*s*s**3*s**(2\/3)) assuming s is positive.\nAnswer: s**(-659\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j + g + 73 = 0, -2*j - 5*g = -77. Suppose j*y = 12*y + 2478. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5352406.\nAnswer: 2, 71, 37693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.1, 0.1, 1\/167 in ascending order.\nAnswer: -4.1, 1\/167, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (38\/57)\/((-4)\/6)*-1. Let i be u\/1 + ((-35)\/30 - 0). Which is the nearest to i? (a) -1 (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2\/11, 25558 in decreasing order.\nAnswer: 25558, 9, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/(c*c*c**(2\/7))*c*c*c)**(2\/3))**30\/((c**(-2)\/(c\/(c**(2\/9)*c)*c))\/(c*c**7*c*c*c**(-5)\/c*c)) assuming c is positive.\nAnswer: c**(5170\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 20583 = 3*d, d = 7*d - 6. What are the prime factors of u?\nAnswer: 2, 3, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -40*g**2 + 402*g - 15. Let j be c(10). Solve 0 = 3*i + j*l - 21, 3*l - 15 + 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 40. Let o be (3\/w)\/(1\/(-2)) + 0. Suppose -4*q - 2*x + 31 + o = 0, -10 = -q - x. Solve -5*g = 1 - q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*s**3 - 27*s + 89*s**3 + 2*s**2 - 2*s**2.\nAnswer: 4*s**3 - 27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 130 - 58. Solve -g*r = -7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Suppose -2*a + c*a = 0. Let p(s) = s**3 - s**2 - s + 8. List the prime factors of p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135368\/25 + 5414. Let k = 0.02 + -1.02. Is k less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**2 + 5*n**2 - 5*n**2)*(-691*n + 409*n + 364*n) as i*n**3 + v*n + l*n**2 + o and give i.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/4 and 31\/871744?\nAnswer: 871744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*n**3 + 67 + 122*n**3 - 36 - 31.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 152*v**2 + 42414*v. Let t(r) = -r. What is a(t(l))?\nAnswer: 152*l**2 - 42414*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-48))\/((-135)\/162)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -30*j**3 + 11135*j**2 - 1820*j - 12985 = 0.\nAnswer: -1, 7\/6, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 614529 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410*o + 126588 = -407*o + 4*u, 0 = -2*o + u + 84370. List the prime factors of o.\nAnswer: 2, 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13215956 and 962.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {l: 1, o: 1, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*x**2 - 4*x**3 + x**2 - 7*x**4 + 3*x**4 - x**2 to h*x**3 + l*x**2 + u + v*x + g*x**4 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1136 - -1883. Let u be (-3)\/5 + (p\/(-15))\/(-3). What is the greatest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278696.\nAnswer: 2, 11, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.92 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000063 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**3 - 4*s**2 - 2*s. Let f be h(-5). Suppose -3816 = -5*x - l, -4*x - 2*l = f - 3833. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 155, 150, 145, 140, 135?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 1, 17, -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6351763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -10*i**4 - 183*i**3 + 786*i**2 - 628*i - 264 = 0.\nAnswer: -22, -3\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28846445 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 29554, -6.\nAnswer: -6, 1, 5, 29554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1283, -30, 1209, 2428, 3621, 4782?\nAnswer: 5905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q = -56*q + 15*q + 185647. List the prime factors of q.\nAnswer: 11, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/2 - (-11 - -6). Suppose 1 - c = -11*v. Sort v, 14, 5.\nAnswer: v, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 12 = 4*l, -3*x - l + 203 = 206 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*r + 327 = -299 + 1010 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 335909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*f + 1143 = -852, -3*y + 3*f = -1995. Suppose 131 = 4*c - 3*x, 0 = 3*c - 4*x + 5 - 98. What is the greatest common divisor of y and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 1399?\nAnswer: 12591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 426, 1718, 3902, 6984, 10970, 15866, 21678?\n\"Answer: k**3 + 440*k**2 - 35*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*c + 1259401, 2*c + 1204525 = 4*l - 54881. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 5. What is c(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 5:10 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(567)*4*1*-2*1)**2.\nAnswer: -144*sqrt(7) + 36289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/35 + 3\/5. Let d be (3 + (g - 2))\/(-2) + 210. Suppose 3*b - 62 = 5*m, -3*b + 4*m + 60 = m. Calculate the highest common divisor of d and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -16. Let k = b - -8. Solve -2*c + f + 13 = 0, 5*c + k*f - 40 = 7*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*v + 3*v - v)*(0 + 4 - 3)*(4 - 6 + 0)*(98 + 100 + 108) to the form b*v + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - ((-1)\/(-1) - 371). Suppose 3*m + 378 = h, 6*h - 7*h - 3*m + f = 0. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150908160 a multiple of 3023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 60\/9 + -7 - -38*5\/(-60)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -3178.\nAnswer: -3\/1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -354, 160, 1140, 2586?\nAnswer: 4498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 24 = -4*g. Let q(t) = -t**2 - t - 43. Let b be q(0). Let a = -11 - b. Solve -5*v + 31 = g, 4*v = -4*c + a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33125393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2983891 and 204?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2308, -2306, -2304, -2302?\n\"Answer: 2*d - 2310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 733192883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 - 23*q + 32. Let w(n) = 2*n**2 - 15*n + 21. Let u(b) = 5*p(b) - 7*w(b). Give u(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3205016147?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356617 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6092010 divided by 810\nAnswer: 7521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 250?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 18*z**2 - 18*z - 15. Calculate i(16).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -25. Let h be 216\/21 - (-2)\/z. Solve -5*x = -0*x + h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + (sqrt(1620) + sqrt(1620)*-2 - sqrt(45)))\/(2*sqrt(81) + sqrt(9)))**2.\nAnswer: 180\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23115 and 0.5?\nAnswer: 11557.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2*w + 4*w**2 - 5*w**2)*(11*w + 74*w - 45*w).\nAnswer: -40*w**3 - 40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmbmpbbbpb. What is prob of sequence bp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -535 by -215805.\nAnswer: 107\/43161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-127 - 131 - 56*p + 260)*(6*p**2 + 2*p**2 - p**2) in the form w*p + i*p**2 + m*p**3 + q and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 5:50 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -5*r - 25. Solve 3*h = 5*s - 31, 6*h = h - 3*s + r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*v**2 - 6*v**4 - 3*v**4 + v**4 + 4*v**4 wrt v.\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15439.99 rounded to the nearest 10?\nAnswer: -15440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 - -0.35. Let t = -130\/3 - -44. Let i = -0.159 + -0.141. Which is the third smallest value? (a) q (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 4, 7775, 5, -3, -4 in decreasing order.\nAnswer: 7775, 8, 5, 4, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2401 (base 9) to base 15.\nAnswer: -7dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 41*z**2 - 4*z + 3. What is p(-2)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -377.48 times -398?\nAnswer: 150237.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 32*p**2 + 211*p - 6. Let l be y(-10). What is the highest common divisor of l and 1308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*k - 14. Let y(u) = -6*u**k - u**3 - u**3. Let w(d) = -418*d + 9195. Let o be w(22). Determine y(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3974794858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2. Suppose -5*m = 0, 2*s + 3*s = -3*m + 10. Let o(z) = 14 + s*z**2 - 14 - 3*z**2. Calculate y(o(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r + 149 = 5*x, -x - 4*r = -13. Let u = x + -26. Suppose 0 = -5*s - m + 204, -2*s - 38 = -3*s - u*m. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 3. Let r be l(-5). Suppose 15 = -r*m + 7*m + 5*y, 2*m - 4 = -y. Let q be (-1)\/(-5) + 18\/(-140). Put q, m, -2\/9 in descending order.\nAnswer: m, q, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9163 and 48027210?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -4. Let f = v + 8. Let i = -14 - -15. Sort -1\/4, f, i in decreasing order.\nAnswer: f, i, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 891219 a multiple of 777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 5, 41, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 18. What is the remainder when 20 is divided by q(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -433142\/153 + 2831. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.52 - 0.96. Let o = -61.7 - g. Which is the biggest value? (a) o (b) -0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -574*n + 3667. List the prime factors of o(-121).\nAnswer: 73121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*t + 36*t + 26*t**2 + (-t + 2*t - 2*t)*(3*t + 2*t - 6*t))*(t + t - 6*t).\nAnswer: -108*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from ccjggcdbggdzdd.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/9)\/(l*l**(11\/6)*l))\/(l**(-3\/7))**(-20) assuming l is positive.\nAnswer: l**(-1619\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000426 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 636.70996 rounded to the nearest ten?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6514 (base 7) in base 13?\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -233*d**2 - 1186*d - 12. Let s be r(-5). Solve -90*o = -s*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 24*p + 12. Let u be l(24). Find the second derivative of f**4 - 16*f + 8*f + u*f wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 993990.3794044?\nAnswer: -993996.3794044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1175 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38348 + -12108. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlllxlxxxxxlxxxxxl. Give prob of picking 2 l and 2 x.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.51 - 76.\nAnswer: -75.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 410.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 18*j - 39. Let n be x(-14). Let q(r) = n + 30 - 46. Let v(d) = d**2 - d + 6. Calculate 11*q(f) - 2*v(f).\nAnswer: -2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + -1 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -855 or -987?\nAnswer: -987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2\/6 + 13123630*q\/3 + 17222966437690\/3.\nAnswer: 5*(q + 2624726)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*x + 6 + 16, 5*q - 4*x - 13 = 0. Suppose h + 17290 = 2*h - d, q*h + d = 86456. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o + 13 = -3*j, 37 = 2*o + 5*j. Suppose -f = 6 - o. Suppose -5*w = 2*g - 4771 - 3432, -4*w + f*g + 6536 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73510?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/7)\/(i\/i**2))\/((i\/(i*i**(-1\/4))*i*i)\/(i**(1\/6)\/i))*(((i*i**(-6))\/i)\/i)\/i**(-2\/9)*(i*(i*i*i**(3\/8)*i)\/i*i*i)\/i*i**(2\/3) assuming i is positive.\nAnswer: i**(-2213\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/2928 and 187\/2126460.\nAnswer: 8505840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 8*m + 9. Let c be z(-7). Let y be (-2)\/4*-2*c. Suppose 3*v - 40 = -y*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*p + 87*p + 335 + 2857 = 0. Put 2, 0, p, 6, -3 in decreasing order.\nAnswer: p, 6, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**2 + 0*a - 1\/3*a**3 + 0. Let f(x) = -x**2 - 18. Suppose 72 = -8*l + 4*l. Calculate l*u(q) + 2*f(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33031377877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*l + 560, -2*a + 376 = -l + 3*l. Calculate the highest common divisor of a and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d + 28*d + 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + k + 0*k)*(-k**2 + 0*k**2 + 3*k**2 + (-3*k**2 + 9*k - 9*k)*(3 - 5 + 0)) as h*k**2 + v*k + c + b*k**3 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 652 and 8?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*p = -22, -5*p + 2*p = 15. Put 2, -5, -9, k, 3 in increasing order.\nAnswer: -9, k, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1076 - -1117 - (55 - 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-80)*-2 + 220\/16. Solve 2*q = 29*x - 32*x + j, -26 = -4*q - 5*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 14*p**2 - 26*p - 6. Let t be q(13). Let c = -104 - t. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a. Let n(h) = -3*h - 75. Let i(w) = -6*g(w) + n(w). Let k be i(28). Suppose 20 = -f + 6*f. Solve -4*j + f*y = 4, 0*y - k = 3*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 445155*c - 7567609. Calculate o(17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445330241?\nAnswer: 445330241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03 and -0.3332?\nAnswer: 0.3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 236746279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*g - 141*g + 12*x = -9*x - 594, 0 = -g - 2*x - 61 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 - 1 = 0, -2*f - 7 = -3*o. Let m be 1\/(-4)*-18*(-22)\/33. Let w be (33\/(-110))\/(-174*m\/15). Is w not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**5\/20 - 7*l**4\/12 - 3*l**3\/2 + 9*l**2\/2 + l. Let h be b(8). Let j(p) = 0*p + 7*p - 8*p - h + 2. Determine j(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + 9*n - 8. Let u(g) = -g**2 + g - 1. Let w(h) = -t(h) - 4*u(h). List the prime factors of w(15).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245798, 245747, 245668, 245549, 245378?\nAnswer: 245143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*p**2 + 19*p**3 + 59*p**3 + 51*p**2 + 44*p**2 - 21*p**2 wrt p.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 26 + 11 = 4*n. Suppose 5*x - 4*x = -2. Sort 4, 30, n, x.\nAnswer: n, x, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*p**2 - 248*p**2 - 80*p**2 + 65*p**2.\nAnswer: -623*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(42)\/(sqrt(6) + sqrt(24)\/sqrt(4)) + -4)**2 - (2*(sqrt(77) + (sqrt(77) - -2*sqrt(77))))\/(sqrt(1331)*-2))*-5.\nAnswer: -1315\/4 + 420*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2921820 divided by 12815\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**4*w)))\/w**(-2\/17))\/(w*w\/(w**(-2\/5)\/w)*w**(-8)) assuming w is positive.\nAnswer: w**(826\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 273 + -223. Let g be (-5*(-48)\/150)\/(4\/t). Solve 3*d = -d + g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/7 - (14 + -38 + (-15)\/5*1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q - 3*q - 4*q - 5*q + q**2 - 15 + 3*q. What is b(14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17473640 - -1?\nAnswer: -17473637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*r - 743 = 10201 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 319663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 5355.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*m = 5*j - 72, 36 = 2*j - 5*m. Suppose 4*l = -28, 2*x - 25*l - 298 = -21*l. What is the greatest common divisor of j and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.61 + 3.39. Sort -2, p, -0.22 in descending order.\nAnswer: p, -0.22, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/37737170 and -95\/6.\nAnswer: 113211510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -3.2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2*l*l*l**(-6))**(-34) assuming l is positive.\nAnswer: l**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 13*r - 10. Give q(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -324 + 471. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2262 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*p + 0 = 2, -2*a + 8 = -p. Suppose a*o + 5*q - 143 = -22, 4*o - 4*q = 204. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + sqrt(7)*1 - (sqrt(7) + sqrt(28))*-6)**2.\nAnswer: -10172 + 608*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.0584 (c) 0.022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + q - 4. Let l(u) = -6*u**2 - 2*u + 13. Let w(z) = -7*c(z) - 2*l(z). Suppose 0 = 5*j + 5 + 10. What is w(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 295\/10*(-10416)\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -26*x - 4. Suppose -5*d = -4*o + 7, 3*o - 8*o - d = -16. Let n(a) = -9*a - 1. What is o*g(u) - 10*n(u)?\nAnswer: 12*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1148, -3, 20.\nAnswer: -3, 20, 1148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 5623105?\nAnswer: -5623112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68)\/(-11) - (-4)\/(-22). Let u be 155\/(-70) - (-2)\/(-7). Which is the second biggest value? (a) z (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 61 + 47. Suppose 3*l + 3*b = 0, -5*l = -b - 3 - x. Solve 0*u + 3*u = -3*o - 3, 2*o + l = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10651003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*t**2 + 8*t - 35*t + 133*t**5 - 61*t + 28*t**2 + 19*t wrt t.\nAnswer: 7980*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 2*w + 2. Let y be m(-4). Let b = 24 + y. Suppose 1351 = -b*j + i + 168, -3*j - 1779 = -3*i. What is j rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = -4*o. Suppose 0*c - 8 = -o*c. Sort -0.1, c, 0 in decreasing order.\nAnswer: c, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogo. What is prob of picking 2 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23776, 23603, 23460, 23359, 23312, 23331?\nAnswer: 23428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9285056.5 to the nearest 1000.\nAnswer: -9285000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-15) - (-984)\/(-820).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 21*o = 38. What is the remainder when 93 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -9, 4 in decreasing order.\nAnswer: 4, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1811.2 + -1161. Let q = x - 552. Round q to zero decimal places.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Calculate m(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8471\/4 + 2118. What is the smallest value in 3\/7, -4\/3, u?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 3, -11, 92, -2?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87729*w - 87734*w + 4*f = 17, 0 = 2*w - f + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*r = r + 15, -3*v + 55 = -5*r. Suppose -5*s + v + 5 = 0. Calculate the remainder when 0 - -1*13 - 0 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -175*x**3 + 25*x**2 - 25*x - 25. Let g(a) = 22*a**3 - 3*a**2 + 3*a + 3. Suppose 5*z = -4*s - 274, 49*z + 2*s = 45*z - 212. Give z*g(c) - 6*m(c).\nAnswer: -50*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) + sqrt(95)*2))\/sqrt(5) + 0 + sqrt(2736) + sqrt(2736) + -3.\nAnswer: -3 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1231\/39 - -458\/13. Let y = 5 - 7. What is the common denominator of z and (-51)\/8 + 0\/y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k - 2*k + 2*k)*(-3*k - 5*k - 3*k + (-7*k + 2*k + 3*k)*(1 - 3 + 0)) as n + v*k**2 + g*k and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17656900397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -40568?\nAnswer: 40569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from yyxyxyyyxyy.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -7 + 0 - -6 - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -428762\/131 - -3273. What is the common denominator of g and -61\/16?\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -7*o + 14*o - 6. Solve 1 = -4*d + 5*h - 0, -o*d + 6 = 3*h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b + 229852 = 2*u, 5*b + 2*u - 287313 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.485 - 58.615. Let b = -40.46 - v. What is b rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2 - 3*i**2 + 3 + 23*i**2 - 3*i + 2*i. Let t be u(1). Solve 12 = 4*r - 0*r + 5*l, 5*l - t = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 193986300*i - 581958927.\nAnswer: 3*(i - 3)*(i + 64662103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, u: 1, h: 2, r: 2, p: 3}. What is prob of picking 1 p and 1 s?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5168 in 0, 25, -2\/33?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*-18*(-3)\/9. What is the hundreds digit of s - -7 - (-164 - (1 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**4\/24 + 17*r**3\/6 + 152*r**2. Calculate k(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*w)*(3 + 1 + 1)*(-78 + 89 - 61) + (-3 + 1 + 0)*(0*w - 3*w + 4*w) to the form j + b*w and give b.\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.2865 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -67463*p - 31910012. Give i(-473).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 24 + 16*b**3 + 7*b**3.\nAnswer: 23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*k**2*z - 15*f*k**2 - 5*f*k*z - f*z + 3938*z wrt k?\nAnswer: -2*f*k*z - 30*f*k - 5*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 200104 (base 5) in base 14?\nAnswer: 2407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 63*j + 21*j**2 - 24*j + 16*j - 5*j wrt j?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-1)\/2*590\/(-472). What is the third biggest value in y, -2\/7, -5, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21*y + 1. Let p(m) = 212*m + 10. Let x(n) = -p(n) + 10*w(n). Let s(a) = 2*a - 1607. What is x(s(h))?\nAnswer: -4*h + 3214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 8*q**2 + 24*q + 40. Let z be x(-10). Suppose -7*p - 20 = -2*p, 4*p = -5*a - 6. Solve s - a = -z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 - -3 - 90\/(-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6383 (b) 114 (c) 1\/5 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 140\/(-44) + 4\/22. Let z(n) = -2*n**3 - 4*n**2 + 1. Let u be z(j). What is the greatest common divisor of u and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -481*i**7\/105 - 293*i**3\/2 - i**2 - 502*i. What is the first derivative of y(g) wrt g?\nAnswer: -3848*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.042911, -0.3, -5?\nAnswer: -0.042911","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-30) - (-25)\/6. Solve -h - 1 = 4*s - s, -c*h + 10 = 5*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5dc - -7?\nAnswer: 5e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -12*c - 9. Let s be w(-1). Let g = 7 - 4. Let m = g + -4. Put -5, m, s in ascending order.\nAnswer: -5, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (36 - 32 - (1 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 15453870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-19330)\/(-90))\/(5\/(-15)). Let r = g + 643. Which is the biggest value? (a) 0.003 (b) -5 (c) -0.4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 45*s - 37. Give v(43).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -2\/235 (b) 3\/8 (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 2. Let k(o) = -o. Let r(p) = 59*p + 55*p + 61*p - 1 - 182*p. Suppose 3*v - 1 = 2*v. Calculate t*k(a) + v*r(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 62*z + 7. Let r(k) = 9*k**2 + 165*k + 20. Let u(c) = 8*i(c) - 3*r(c). Calculate u(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19712 + 27849. Is l a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-20640)\/120*(56\/(-58) - -1)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21221621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*m**2 - 141*m**2 + 91*m**2 + 32*m**2 - 289*m**2 to n + w*m**2 + c*m and give w.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/10 and 89\/8454.\nAnswer: 42270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-72)*12)\/((-12)\/2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let p(i) = -9*i. Let u = -54 + -1. Let n(l) = -19*l + 77*l + 67*l. Let j(w) = u*p(w) - 4*n(w). What is q(j(r))?\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v + 24. Let s be v\/33 + 1104\/22. Suppose -b + 6*b = s. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.5 + -4. Let s = 0.458 - -2.537. Let q = s + 0.005. Which is the smallest value? (a) l (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeqeeeeeq. Give prob of picking 1 e and 2 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r**2 - r - 4. Let l = -22 + 22. Give j(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 99 = -65. Solve 2*n = -4*x - 24, -86*n + 8 = -85*n - c*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 846, 2874, 6254, 10986, 17070, 24506, 33294?\n\"Answer: 676*o**2 + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 7*g + 2. Let j = -13 + 20. Let z be i(j). Solve 0 = -2*a - 0*a + z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -129*t - 1020. Determine j(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.1. Let z = 0.5 + a. Suppose 4 = 4*h + 16. Put h, 0.3, z in descending order.\nAnswer: z, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1584 = -4*s - 0*j - 4*j, -j = -4. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 1 (b) 1\/5 (c) -8 (d) 19 (e) -3\/2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 231134, 1, -1\/5, -0.1, 0.2, 4\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1175646 - 7?\nAnswer: 1175638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/11748 and -85\/3916?\nAnswer: 11748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 266741241?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1055 - -1059. Let -1\/2*y**2 - 3\/2*y**3 + 1 + 3\/2*y - 1\/2*y**c = 0. Calculate y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26321 or 676?\nAnswer: 26321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1243*v + 2034. Let i(d) = -d + 3. Determine c(g) - 678*i(g).\nAnswer: -565*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 169?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 4*k + 14. Let j be u(6). Solve 5*q - 8 = j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y + 8 + 14*y + y**3 + y**2 - 6*y**2 - 24*y. Let w be (6*-1)\/(-27 + 26). Give a(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 14 = 4. Let j be 16\/(-120) - 22\/60. Put -4, q, j in ascending order.\nAnswer: -4, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-72)\/(-7) - (-6)\/(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -117, -290, -501, -750, -1037, -1362?\n\"Answer: -19*i**2 - 116*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 14*b + 21. Let c be (-3 - b\/9)*(-30)\/(-25). Let s = 5.4 + -0.4. Put c, 0.06, s in descending order.\nAnswer: s, 0.06, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 55177014 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 34 = 9. Let t be ((-14)\/(-5) + -2)*q. Let n(u) = u**2 - 4*u - 3. What is n(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*g)*(-90344*g + 45173*g + 45171*g - 52640*g**2).\nAnswer: 105280*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 128 = 10*j. Sort j, 3, 5 in increasing order.\nAnswer: 3, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-662)\/(-5627))\/(-1 + 2). What is the biggest value in 0.4, n, -71?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6982.648 grams?\nAnswer: 6982648000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m + 77. Suppose -s = -3*b - 185, 3*s = b - 0*b + m. What is the units digit of 6\/45 + (-2272)\/b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/54)\/((-6)\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 1 + 9. Suppose -d*z + 5*r = -20, -r + 0 = -3*z + 14. Let s(w) = -3180000*w. Let v be s(z). What is v rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4488 and 952.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcg when three letters picked without replacement from ixcgxxiggiggccgcccg?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/13, -3\/4, 2?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2 - 5*k - 5. Let f(d) = 37*d**2 - 66*d**2 + 31*d**2 + 3*d + 3. Let v(n) = -5*f(n) - 3*y(n). Let q(t) = 6*t. What is v(q(r))?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.8296 litres in millilitres?\nAnswer: 935829.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47802 and 780766.\nAnswer: 2342298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -5. Let m(k) = -86*k - 1291. Let j be m(-15). Let z(b) = b**3 + 1. Let u(q) = 2*q**3 + q**2 + 3. What is d*z(w) + j*u(w)?\nAnswer: -w**3 - w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h + 4*h)*(-1 - 3 + 3) + 76*h + 74*h + 64*h.\nAnswer: 212*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a - a)*(8 - 7 - 6) + (-2 + 0 + 5)*(-5*a + 3*a + a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -8 - 2) + -11 + 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p + 9 - 5 - 12*p. Let q be u(-5). Suppose -67 = -2*x + q. What is the greatest common factor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 14) to base 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (20\/30)\/((-13)\/((-78)\/(-8)))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 1. Let i(n) = -16*n**2 + 2*n - 16. Let d(u) = 12*b(u) + i(u). Let k be d(4). Let s = k + 123. 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: Let z(o) = -2*o**2 - 157*o + 2616. Calculate z(14).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2053*i**2 - 2051*i**2 - 2405*i**2 + 6504*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18456)\/140 - (-24)\/(-42). Is -132 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 0. Let n be (0 + 3 - 3)\/r. Solve n = -m - 4 - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -206397, -206383, -206367, -206349, -206329, -206307?\n\"Answer: n**2 + 11*n - 206409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-78))\/(((-15096)\/442)\/(-37))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 + -5.8000976. What is m rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = -4*l, -4*k - 3*l = -25. Solve 20 = k*z + z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 625454?\nAnswer: -625462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - f**2 + 13*f + 6. Let n be r(-4). Let p be (-1)\/28*-76 - n\/(-7). List the prime factors of 0 + p\/2*500\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 5)\/(2\/(-5)). Suppose -3*o - 15 = -w - 2*w, -i*o - 1 = 3*w. Solve q - 3*q = 4*a + 2, q - 9 = w*a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/19)\/j)\/(j\/(j\/(((j\/j**(-5\/4))\/j)\/j)))*(j*j\/(j*j\/j**(-2\/5)*j))**(-6) assuming j is positive.\nAnswer: j**(2677\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*q + 15715 - 27090 = 0 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 38. Let x be 1 + -3 - b - 522. Let w = x - -1066. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*u + 39 = 0, -5*u - 149 = -13*v - 70. Factor 0*g + 0 - 18*g**2 + 2\/3*g**v.\nAnswer: 2*g**2*(g - 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 2*m**2 - 6*m - 8. Let x be q(-2). Sort -3, 2, x, -4 in descending order.\nAnswer: x, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 2, 5, 199, -24, -6 in increasing order.\nAnswer: -24, -6, -4, 0, 2, 5, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1 + (-6)\/3 + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2888673824.\nAnswer: 2, 283, 318979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(2\/(-3) + 5\/(-15)). Factor -1\/5*z**b + 1\/5*z**3 + 0*z + 0.\nAnswer: z**2*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15621 = -4*p - d, 2*d = -3*p - 0*d - 11717. What is the common denominator of -23\/2 and p\/(-8946) + (-3)\/((-21)\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-64)\/20)\/(-4))\/((-2)\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6 (b) 1\/4 (c) -29 (d) 1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*sqrt(605) - sqrt(605) - sqrt(605)) + 4*(sqrt(605) + 0))**2.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -74a3 (base 13) in base 5?\nAnswer: -1004223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062 minus -31113829?\nAnswer: 31113828.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*534.2.\nAnswer: 1602.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/2928 and 17\/1464.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/663 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/9)*n)*n\/(n**(-8)\/n))**12)**(-1) assuming n is positive.\nAnswer: n**(-364\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -961664, -961672, -961680, -961688, -961696, -961704?\n\"Answer: -8*s - 961656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/6)\/(g*g\/g**(-4)))**6\/(g**(-1\/2)\/(g**(-2)\/g))**(2\/11) assuming g is positive.\nAnswer: g**(-390\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 33260*y - 6552223. What is h(197)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s + 1. Let j be r(-1). Suppose 0 = -2*n + j*h - 6*h + 15, -4*h = 5*n - 20. Solve n = 3*g - 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4713\/23 (b) 0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (4 - (1 + -8 + 0)) - 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*sqrt(117) - sqrt(117))**2*-1.\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Let q(g) = g**3 - 8*g**2 + 12*g + 5. Let o be q(6). Let h = -1.7 - -2. Which is the closest to 1\/5? (a) o (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= 1136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10845*x + 10845*x - 87*x**3)*(23 + 12 + 3) to the form h + i*x**2 + j*x**3 + y*x and give j.\nAnswer: -3306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 211aaa (base 11) to base 12\nAnswer: 1444b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 - 146*p**2 + 12*p**4 - 1 + 296*p**2 - 148*p**2 as i*p**4 + f*p + r*p**3 + y*p**2 + z and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*s - 5 + (-3 + 2 + 3)*(4 - 4 + s))*((-s - 3*s + 5*s)*(-8 - 3 + 1) - 2 + 2 + s - 12*s + 2*s - 30*s) as g*s**2 + c + i*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -266 (b) 0.2 (c) -3\/2 (d) -2\/9 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3))**27*m**(1\/8)*m**5*m)\/((m*m**(-2\/5)*m\/(m\/(m\/(m**3*m))*m))\/(m**(-2\/9)\/(m**(6\/7)*m*m))) assuming m is positive.\nAnswer: m**(-29117\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1394514, 1394442, 1394366, 1394286, 1394202, 1394114?\n\"Answer: -2*q**2 - 66*q + 1394582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2704 + 1976 = -91*n - 1979 + 2018 for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 3. Let b(w) = -w**3 + 10*w**2 + 14*w - 15. Let r be b(g). Suppose p = -0*p + r. 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: Suppose 2*w - q = 24670, -w + 5451 = q - 6884. List the prime factors of w.\nAnswer: 5, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73235 is divided by 1003?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 74869804283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -1781*r**8\/336 + r**7\/210 - 6107*r**5\/30 + 640*r**2 - 4*r + 1. What is the third derivative of w(o) wrt o?\nAnswer: -106860*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 94*x + 5. Let t(d) = -2*d**2 - 23*d + 1. Let h(m) = c(m) - 4*t(m). Suppose 0*o + 4 = -o. Let f be (-9)\/(-12) - 1\/o. Calculate h(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 15 = -5*i. Is 2\/55 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01683 times -0.1767?\nAnswer: -0.002973861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173897, 173892, 173887, 173882?\nAnswer: 173877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(108)*-3)\/sqrt(9))\/(sqrt(6) - -3*sqrt(294)))**2.\nAnswer: -15*sqrt(2)\/11 + 6059\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, 14, 1727, 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -38155941\nAnswer: -5\/38155941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.4, -12, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 388584 and 12744.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 12*a + 26. Calculate m(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1859\/52 - ((-9259)\/188 - -49)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3277*g + 3*g**2 - 1092*g - 1 - 1089*g - 69*g**3 - 1096*g to the form b*g**2 + o*g**3 + h*g + m and give o.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 - 153. Let f = 862 + d. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000796 rounded to seven dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -g - 2. Let i = -8 + g. What is the smallest common multiple of i and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9383.43 weeks?\nAnswer: 5675098464000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -7. Let f = 5 - w. Suppose 4*y + 2 = a - 20, y = 5*a - 53. Calculate the lowest common multiple of a and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -185, -4, -0.057, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 bigger than 4\/12747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18196019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/((-12 - 114)\/21)*(2 + -8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 1538, 4, -2, 0 in increasing order.\nAnswer: -2, 0, 1, 4, 5, 1538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/1*2\/4. Let q = 0.373 - 0.273. Suppose 44*t + 152 = 25*t. What is the closest to q in 1\/3, t, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192376 divided by -48094.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1799.91 and -0.2.\nAnswer: 359.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4831, 20256, 46257, 82834, 129987?\n\"Answer: 5288*l**2 - 439*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 3. Let v(z) = 8*z**4 - 2*z**5 + 2*z**2 - 3*z - 7*z**3 - z**5 + 0*z**3. Let p(q) = q. Let t(u) = h*p(u) + v(u). What is l in t(l) = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-73)\/(26572\/26))\/(-6*1\/8)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/sqrt(5) + -1)*-3)**2.\nAnswer: -18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/(-10)*(-16)\/7. Suppose -5*q = k*f - 3*f - 90, 0 = -2*f + 8. Suppose -4*x + 5*t + 18 = -0*x, 0 = 5*x - 2*t - q. Is 2 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/1911)\/((-6)\/(-104)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303382 to the power of 1\/2, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1531737 by -1531737.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 - 79 + 16*t)*(-9 + 1 + 4)*(-2*t**3 + 0*t**3 + 0*t**3).\nAnswer: 128*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 0, -10, -6583 in ascending order.\nAnswer: -6583, -10, 0, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 89 in -2, -4, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdbxbidu. Give prob of sequence xdbb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-12) + (-112)\/(-24). Solve -r - 4*u = 24, q*r + 40 = -r - 4*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1690582, 6762321, 15215220, 27049279, 42264498, 60860877, 82838416?\nAnswer: 108197115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 595, 1.4, 0.25, 0.1, -0.3, 0, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a - 20. What are the prime factors of b(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*c + 2043, c - 408 = -0*m - m. Let b = m - 272. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 51 - 5*o**2 - 8*o + 8*o - 51. Let p(u) = 11*u**2. Determine x(p(m)).\nAnswer: -605*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 3, r: 7}. Give prob of sequence xa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(1\/(-1))*-4. Let m be -1 + 1 - b\/(-16). What is the nearest to 0 in -4, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21012 (base 3) in base 7?\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 12:42 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 minus 3.41826?\nAnswer: -149.41826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 9:09 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.14024 + 0.14024. Sort -1\/12, 0.3, -4, z, 0.06 in descending order.\nAnswer: 0.3, 0.06, -1\/12, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175989347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 2*b - b)*(-18 + 14*b**3 + 30 - 10).\nAnswer: 70*b**4 + 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -255*p - 2672. List the prime factors of g(-33).\nAnswer: 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 2485. Let k(b) = -b. What is z(k(o))?\nAnswer: 2*o**2 + 2485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(106\/742)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 7, h: 5, y: 7}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3865408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 5*i**4 + i**4 + (4*i - 3*i - 3*i)*(i**3 - i**3 + 2*i**3) + 3*i**4 + 0*i**4 - i**4 + 0*i**4 + 6*i**4 - 2*i**4.\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7 = -d, 3*d + 8 = b - 1. Suppose b = 9*a - 24. Solve x - a = m, 0 = -4*x + 8*x + 2*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k - 184. Calculate m(14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dab + -282?\nAnswer: b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -77d4 - -24c?\nAnswer: -7588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -25. Let p(u) be the third derivative of -1\/120*u**6 + 1\/8*u**4 + 0*u - u**m - 1\/20*u**5 + 0 - 1\/2*u**3. Give p(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.694374174 and 0.3?\nAnswer: 1.394374174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1869 - 2?\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082463407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1025 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1005.2 in 0.1, -0.2, -0.34, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 891 - 714. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 3*n + 7. What is the units digit of t(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3189198 and 448092?\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/4 and -11\/41961.\nAnswer: 167844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*b + z, 5*b + z = 4*z - 15. Suppose -3*c - 3 = -2*a - a, 2*c + 1 = a. Let m be c + b + 18\/2. What is the greatest common divisor of m and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -21. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3096983*c**3 + 3*c**2 + 170474*c - 1 wrt c?\nAnswer: -18581898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2. Let l(c) = 4896*c**2. What is q(l(w))?\nAnswer: -95883264*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -472*j - 3297. Determine b(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2679*b**2. Let d(c) = 2*c**2. Give d(j(n)).\nAnswer: 14354082*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s - 2402033080375 + 2402033080375.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 8*u + 4. Let p be c(-5). Suppose p = -i + 61. Let h be (i\/12)\/(15\/54). Which is smaller: h or 13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2be (base 16) to base 11\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 13*j - 10. Let h be g(-12). Suppose 2*q + 11 - 1 = -5*x, 0 = 3*q - h*x - 23. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffmm. What is prob of picking 1 f and 1 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-136)\/16)\/((-1)\/10). Let n = 28 + x. Suppose c = -z + 22, n = -0*z + 4*z - c. Calculate the remainder when z is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 6:26 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u + 53*u - 20 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.1, 11, 33?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-80956)\/3282*4\/((2\/(-48))\/1)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194288434 to the power of 1\/2, to the nearest integer?\nAnswer: 13939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-21)*q)\/q**(-8)*(q**(2\/5)\/q)\/q**(-2\/5))**(-3\/4) assuming q is positive.\nAnswer: q**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u - 3. Let s be h(4). Let t = -50 + s. Suppose 5*q + 20 = -p, 4*q - q - 4*p = 11. Put t, -5, -2, q in descending order.\nAnswer: -2, q, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*5\/56*(132\/(-20) - -7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -11843.907397?\nAnswer: 11843.607397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3611 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q + 32 + 0*q**2 - 1\/3*q**3. Let d(y) = -7*y**2 + 2. Give g(d(b)).\nAnswer: -49*b**4 + 28*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 3:35 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -85. Suppose -n - 22 = -2*t. Calculate the remainder when 56 is divided by t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*k + 24*k + 15834. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82012364?\nAnswer: 2, 7, 167, 17539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - m + 1. Suppose -1 = -3*c + 2. Let f be v(c). Solve d - f*d = -5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -310 - -316. Suppose 165 = t*x + 5*x. Calculate the remainder when x is divided by ((-27)\/(-6))\/1*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*t = -16, 2*m - 3*t = -3*m - 9. Which is the closest to 0? (a) 0.16 (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**3 + 3*v**2 - 5. Let k(j) = j**3 + j**2 - 2. Let i(h) = 5*k(h) - 2*r(h). Calculate i(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54\/(-81)*(-9)\/(-2) + 31. Suppose 5*l = 728 + 252. Calculate the highest common divisor of r and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/(2100\/532) + 5\/(-1). Which is the nearest to 71\/2? (a) -5 (b) 2 (c) t (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/6 + -1)\/(40\/65). Let q = 19 + -19. Are b and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 0*f**2 - 2 + 5 - f + f**2. Suppose 4*n + 9 + 3 = 0. Let k be d(n). Solve 2*q + t = -3*q + 19, -t + k = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -231*h + 2 + h**5 + 384361*h**3 - 384315*h**3 - 9*h**5 wrt h?\nAnswer: -160*h**3 + 276*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + -3)\/((-2)\/38).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, l: 3}. What is prob of picking 1 b and 1 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -22*b + 1. Let u(m) = -44*m + 3. Let f(n) = 5*a(n) - 2*u(n). Let t(h) = -2*h**2. Calculate t(f(d)).\nAnswer: -968*d**2 - 88*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 298.479 - 298. Let j = 0.44 - u. Round j to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -5*i - 29*i + 276 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 15\/8) + (-533)\/104.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15.3 and -5.3.\nAnswer: -20.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164811, 329486, 494169, 658860, 823559, 988266, 1152981?\nAnswer: 1317704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/4032 and ((-4)\/(-1280))\/(1233\/(-15481)).\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -752611 (base 10) to base 13.\nAnswer: -204742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*z**2 - 4*z**2 - 1 + 57*z + 0 + 15*z**2 - 24*z**2 as r*z**2 + d*z + u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 105254 divided by 105254?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7517.511 to zero dps.\nAnswer: -7518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1424 + 0.2211. Round f to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and 16.4.\nAnswer: -2.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (75\/6)\/1 - 1\/2. Solve -8 - g = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28701627 less than -43152?\nAnswer: -28744779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 533, 531, 529, 527, 525, 523?\n\"Answer: -2*w + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3124)\/(-1694)*11)\/((112\/49)\/(-8)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 minus 150277423.7?\nAnswer: -150277415.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 557?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1943 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 j, and 1 c when four letters picked without replacement from {j: 1, m: 1, d: 3, c: 7, f: 7}?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2411 + -2381. Solve 7*d - 4*d = -t + 10, 4*d - q = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/176 and ((-2)\/(-3))\/((-3672)\/(-2916)).\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 12*y - 7. Let d be f(11). Let g = d + -72. Let c = 135 + g. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q - 4*q + 10*q + q - 3*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22128762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 5*f - 3*f + 2 - 2 + f + (4 + 7 + 2)*(-f + 3*f - 3*f) + (-7*f + 2*f + 3*f)*(-3 + 10 - 18) + 3*f - 3*f + f as n + z*f and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -183, -329, -505, -705, -923, -1153, -1389?\nAnswer: -1625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*n = -40 - 36 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 5*l**2 + 4*l + 8. Give z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 - 6*j - 4*j**2 + 109 - 2*j**2 - 2*j**3 = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/20 + f**4 - f**3\/6 + 12*f**2 + f - 10. Let x be n(12). Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1864212 + 246615895.\nAnswer: 244751683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/3 + -2 + 5. Suppose 0*s**5 - s**3 + 2*s**g - s**3 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1366*b**4 + 143*b**2 - 4600937 wrt b?\nAnswer: 5464*b**3 + 286*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -11 - ((-51 - -34) + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 13 = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/2 - 1965\/558. Let m = -216\/11 + 20110\/1023. Let u = m + p. Which is the second smallest value? (a) u (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267588 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: What is twenty-one halves of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.2 - 14. Let x = u + -3. Let o = 5 - 2. Which is the third smallest value? (a) -2 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = a - 10095394, -4*a + 3*i + 34291555 + 6090041 = 0. Let h(c) = 49872*c**2 + 10. Let t be h(-6). Let o = a - t. Round o to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 40080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3261.08 - -3284. Round c to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**7\/840 + d**5\/10 + 10*d**2. Let w(a) be the third derivative of n(a). Let v(h) = h. Give v(w(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 123 = 52*r. Suppose 3*v + 3*f = 402, -8 + 2 = -r*f. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6745? (a) -3 (b) 0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-8)*(-8)\/200*-10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 7*s + 9*s + 2*s as p + r*s and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -18\/13511?\nAnswer: -18\/13511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.132 - 0.068. What is the fourth biggest value in 14\/23, -5, f, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2758 + 3508. Is 50 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/44*((-380)\/25)\/(-19).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 95116444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 2 + 0 + -5 + (23 - 23)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 96\/72*(373 - 1) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 83\/(-3320)*-16*5\/10. What is the closest to 0.1 in 2, v, -152\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 3*b = 4*a - 7*b - 100, -8*a = 2*b + 24 + 38 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9487602 and 10251?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**3\/3 + 5*u**2 - 10*u - 2. What is m(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 94717.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1295 and 61\/3171063.\nAnswer: 586646655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*-318 - 0. Suppose -32 = -w + 3*p - p, -5*w = 3*p - r. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 2*o. Suppose 2*y + 4*f + 5 = 5*f, y = 3*f. Let u be v(y). What is the highest common factor of 12 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -2 (b) -81 (c) 0.1 (d) 29 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7536556 (base 8) to base 16\nAnswer: -1ebd6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 53?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a - 3036366 - 28533634 = 0. What is a rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 953*v**4\/12 - v**3\/6 + 2005*v**2\/2 + 1170*v - 1. What is the first derivative of c(k) wrt k?\nAnswer: 1906*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0*f**2 + 8*f - 1\/2*f**3 + 0. Let r(d) = 2*d. What is r(o(y))?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/169128 and -65\/17496.\nAnswer: 507384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001084962201 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 10 = 0, 2*o + h = -o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-16) + 46\/16 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.2 (c) -0.071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4402 + 4?\nAnswer: 4411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -91301, -91357, -91413, -91469, -91525?\n\"Answer: -56*y - 91245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2843.35 to the nearest 10.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 20. Let b(h) = -h**3 + 4*h**2 - 4*h. Let m be b(3). Calculate the remainder when j is divided by (m\/5)\/((-2)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 450 + -661. Let p = -220 - m. Let z = 15 + -13. Is p less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -4 (b) 18 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 64, 238, 514, 880, 1324?\n\"Answer: -2*l**3 + 63*l**2 - l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -667992 at least -667993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5 = 0, -3*g + 84 + 5 = 4*i. Suppose 0 = o - 9 - 31. Let x = o - i. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339626441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2. Let g(d) be the second derivative of d**4\/12 - d**2\/2 - 3*d. Let r(v) = -v**2 - 1. Let p(b) = -4*g(b) + 4*r(b). Give p(z(u)).\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jooqgojoojto. What is prob of picking 1 o and 3 j?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 3*h - h)*(-637 + 851 - 1392) in the form l + w*h and give w.\nAnswer: 1178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25789501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - r + 11, -4*r = d + r + 15. Let q(v) = 13*v - 24. Calculate the remainder when q(d) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 33*j - 23. Suppose -s + 43 = 4*o, 3*o + s - 46 = 3*s. Is m(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -16. Suppose -u = -2*u + 22. Let m = 5 - 3. Solve -m*b + u = -4*y, -b = b - 5*y - o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + v**2 + 2*v)*(11 + 13 - 34 + 82) as s*v + x + u*v**2 and give u.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(120\/100)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3846, 2703, 1558, 411, -738?\n\"Answer: -k**2 - 1140*k + 4987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Suppose -l = 5*j - 6, 4*j - 5*l - 22 = 3*j. Solve -c*o = -j - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -4. Let q = r - -6. Which is the biggest value? (a) q (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12555 - -30444?\nAnswer: 43443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/1715 and 5\/347802.\nAnswer: 1739010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -11*v + 101. Let j be o(9). Factor 124*f - 49*f - 40*f - 43*f + 4*f**j.\nAnswer: 4*f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -863 + 865. Solve g - d = -3, -3*d = -4*g + m*d - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d - 1805. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3*p - 696 + 704, v + 4*p = -9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-624)\/(-352) - (-3)\/(-11)) + 0. Let j = 1 - 1. Which is the second smallest value? (a) q (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1005476158*h - 797722335 wrt h.\nAnswer: 1005476158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -1. Let q = -5.4 - 40.6. Let o = q - -41. Which is the nearest to 1? (a) f (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 570, 2215, 4992, 8907, 13966, 20175, 27540?\n\"Answer: r**3 + 560*r**2 - 42*r + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/2068 and 41\/3102?\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 3033075?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325946513 less than -2.6106?\nAnswer: -325946515.6106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20527406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -98 divided by -49\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.75\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-33) + (-342)\/(-66). Suppose 0 = z*c - 114 - 141. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*d = 596, l - d = 3*d + 131. Suppose -4*v + l = -v. Calculate the common denominator of (79\/12)\/((-8)\/(-16)) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 2*j + 3*j**3 - 1 - 15*j - 23*j**2 + j**4 + 25*j**2 to the form o*j**2 + q*j**3 + p + c*j + i*j**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*p - 22*p + 712 - 10924 = 0 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 441281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143561213 (base 7) to base 10.\nAnswer: 9510812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10040.6um to nanometers.\nAnswer: 10040600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 - 0.34. Let m = x - -0.18. Which is the third biggest value? (a) 1\/5 (b) m (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -48. Let l be o\/3*4\/((-320)\/(-45)). Let v be 16\/65 - (-4)\/(-10). What is the closest to -3 in 1, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 0*a + 1\/2*a**2 - 1\/8*a**4 + 2 + 0*a**3. Let h(o) be the second derivative of l(o). Let c(y) = -2*y**2. Calculate h(c(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x + 4. Let j(l) = 5*l - 5. Let f = 176 - 180. What is f*h(y) - 3*j(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 = 3*y + 2*t, 2*y + 2*y + t = 293. Suppose -4*n = 20 - y. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = -4*c, -2*o - 2 = 3*c - 6*c. Suppose 0 = m - 5*v + 2, 4*v + 24 = 2*m + 2*m. Suppose -m = c*s - 4*s. Solve -8 = s*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 41\/4. Let i = -131\/3 + 1435\/33. Which is the closest to j? (a) -5 (b) 1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 76886 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, r: 1, e: 2, d: 6}. What is prob of sequence xerx?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1 + 3 + 4*k + k**2 + 4 - 3. Let f be o(-4). Let p = 8 - f. Solve -p*w = 4 - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3880 = 3*c + 2*m, -3*m = -5*c + 4*c + 1286. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5020 + -5044.03. Let x = 24 + i. Let d = 1.03 + x. Which is smaller: 15 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 21*q = -32. Suppose -q*w - w = 216. Let j be (-6)\/2*4*(-6)\/w. Which is smaller: j or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbxnbnbnbnmbnbbb. Give prob of sequence xbbn.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 6*a**2 - 5*a + 1. Let z be i(5). Suppose 2*u - z = u - 5*q, -3*u + 4*q + 3 = 0. Solve m + 0*m - 2*w + 11 = 0, u = 4*m + w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1051*k + k**2 + 0*k**4 - 2*k**4 - 1048*k + 2*k**3 to the form s*k + c*k**4 + i + m*k**2 + v*k**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2241 = n, -2*v - 4*n + 633 + 267 = 0. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10747.2 - 10747. Let c = -2.7 + 3. Sort 0, c, o in decreasing order.\nAnswer: c, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 0*g**3 + 0 - 13\/4*g**4 - 11*g**2 - 9*g. What is the first derivative of l(h) wrt h?\nAnswer: -78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 2:13 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.135 - 0.865. What is the biggest value in -0.7, -2, q?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = 3*d - 4*q, 2*q = -5*d + 492 + 388. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2038994? (a) 28 (b) 2\/5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1777 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211750*k**3 + 24498*k - 5.\nAnswer: -1270500*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - t + 1)*(356*t - 52*t - 84*t) as d*t**2 + q + c*t and give d.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, o: 5, a: 1, g: 1}. Give prob of picking 2 l.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1 (c) 0.17 (d) -3\/14 (e) 285 (f) 2 (g) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*l - n - 16, 0 = -4*n + 12. Let o(g) = -g**3 + 20*g**2 - 17*g - 17. Is o(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*r**2 - 175*r + 10*r**2 + 246*r + 278*r - 4*r**4 wrt r?\nAnswer: -48*r**2 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-4\/5)*m**6)**(2\/9))**(-1\/26) assuming m is positive.\nAnswer: m**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/6 - 19*x**2\/3 + 543*x\/2 - 1365.\nAnswer: -(x - 21)*(x - 6)*(x + 65)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g - 397. Let v be s(35). Let l(n) = -n**2 - 12*n - 14. Determine l(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12597\/2696 + -16\/337. Calculate the common denominator of (-714)\/70 - (0 - 0) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 397*a**3 - 9*a**2 + 9*a + 9. Let j(t) = 99*t**3 - 2*t**2 + 2*t + 2. Determine 18*j(x) - 4*u(x).\nAnswer: 194*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 - 19 - 34)*(-6 + 1 + 2)*(-666*v - 85629 + 85629) as h + x*v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r. Let p(l) = 9587947*l**2. Determine a(p(o)).\nAnswer: -38351788*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 4:54 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12491, 24070, 35649, 47228?\n\"Answer: 11579*o + 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 312*s**3 - 10*s**2 + 8*s. Let y be 56\/(-10) + ((-6)\/(-10) - 1). Let i be h(y). What is i rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(209)*-1 + sqrt(209) + sqrt(209)))\/((sqrt(99) - sqrt(99)*-1)\/sqrt(9)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 586*g - 601*g + 3915. Solve -18*m = -270 + g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755 at most as big as 15790\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 8*d**2 + 9*d + 8. Let x(s) = -10*s - 266. Let c be x(-30). Let t(v) = -42*v**3 + 1. Let g be t(1). Let h = c + g. What is p(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 50 = -5*x. Solve 0 = 5*u - x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1182*i - 1113*i + 4557*i - 1129*i - 1117*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - d + 3 = 0, 27*n = 28*n - 5*d + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95609?\nAnswer: 67, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46198 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - -116?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38536, -64421, -107562, -167959?\n\"Answer: -8628*l**2 - l - 29907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 - 3109*j**2\/2 + 4159945*j\/4 - 184658619.\nAnswer: (j - 5484)*(j - 367)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4 - 316*w**3 + 12456*w**2 + 1264*w - 49856 = 0.\nAnswer: -2, 2, 76, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-66)\/14 - -8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-684)\/(-95)*(-90)\/(-24). Solve p*f - 52 = 40*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + -21. Let z be (-2)\/18 - (-102)\/(-54)*-17. Let u = z + p. Solve b - 3*f = 20, -25 = b - u*b + 2*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8122 times 4664?\nAnswer: 8452.1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-1501)\/(-6498))\/(-79)*15?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5909, -12220, -18531, -24842, -31153, -37464?\nAnswer: -43775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 0*r - 5*r)*(4*r - 5*r + 0*r)*(279 - 13 + 14) in the form o*r + w*r**2 + x and give w.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12331580243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 75. What is the remainder when k is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 4:54 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p + 29 + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10868*p = 10869*p + 6 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + x**2 - 5*x**2 - 28353*x**3.\nAnswer: -28353*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 43*z**2 + 375*z - 732. Determine r(32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n - 3*n + n. Let l(j) be the third derivative of -1\/20*j**5 + 30*j**2 + 0*j**4 + 0*j**3 + 0*j + 0. Give l(c(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k**3 + 32*k + 5. Let r(v) = -3*v**3 + 16*v + 3. Let p = -16901 + 16898. Calculate p*x(i) + 5*r(i).\nAnswer: 3*i**3 - 16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d. Let u be (676\/(-12))\/(2\/54). Let z = 1533 + u. What is the least common multiple of z and n(-4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/91, -28.529, 0.4?\nAnswer: -28.529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = 16*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -15*u**2 - 13*u - 5. Calculate d(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t + 36. Let p be x(6). Let f(n) = n**3 - 3*n**2 - 5*n - 5. Let v be f(p). What is v rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zeezeezezee?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 14388?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-752)\/1)\/((-2823)\/549 + 5). Let h = w + -5297. Find the common denominator of -107\/28 and h.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -67*o**8\/336 - o**4\/24 - 49*o**3\/6 - 145*o**2. What is the second derivative of z(h) wrt h?\nAnswer: -1340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f + 4. Let x(l) = 4*l - 3. Let c(j) = 6*j + 2*j**2 - 4*j**2 - 6*j**2 + 7 + j**3. Let h be c(7). Suppose 5 = -h*r + r. Calculate r*w(y) + 6*x(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11*y + 35. Let t be u(-6). Let r = t + -48. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138069 and 2088.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 519*o**2 + 62*o - 51. Let r be h(1). What is the highest common factor of r and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*-52*(3002\/(-228))\/79.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 376*l**2. Let s(o) = -6*o**2. Calculate s(r(w)).\nAnswer: -848256*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1202, 1207, 1214, 1223?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(176))**2 - (0 + sqrt(176) + sqrt(176))**2.\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-16))\/(42\/5670*-18)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 8:53 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -4*o - 5*t + 23, 2*o = 4*t - 38. Let q = -62.1 + 62. Put q, 2, o in increasing order.\nAnswer: o, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 6722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 0*a, a - 160 = -2*b. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 24*h + 55923 = -4*h. List the prime factors of h.\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3637 - 3635. Which is the third biggest value? (a) -9 (b) 4\/7 (c) w (d) -5\/2 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778*k - 727*k = 255 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.082 times 1.9?\nAnswer: -0.1558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*d - 838 - 1243 = 0, 0 = -2*s + 2*d + 1398. What is the remainder when s is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -546125 divided by 5\nAnswer: -109225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121089.951 nanoseconds to days.\nAnswer: 0.0000000014015040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 1\/4, -9\/7, 13?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 66977 divided by 16610\nAnswer: 66977\/16610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3588 or -3593?\nAnswer: -3588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - k = 74, 4*u - 5*k - 21 = 63. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -1.2. Which is the biggest value? (a) 0.5 (b) -1\/6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -11. Let j be (-4)\/(-2) + (-24)\/10. Which is the smallest value? (a) y (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-20)\/120)\/(15\/(-12))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6919397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by -3\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 9:17 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -714*w - 2 = -715*w. Solve q - 3*b = -2, -3*b = w*q - 8*b + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 - 4*u - 7*u**2 + u**2 - 7*u**2 + 4*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g - 31. Let m(p) = p + 7. Let i(d) = -l(d) - 4*m(d). Let c(f) = 3*f**2 - 12 + 12 - f**2. What is c(i(j))?\nAnswer: 200*j**2 - 120*j + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 347425, 347419, 347413, 347407, 347401?\n\"Answer: -6*a + 347431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 521.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 19, 15, 1, -23, -57, -101?\n\"Answer: -5*k**2 + 21*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06900858391 + 121942.96162858391. Let g = x - 121944. Let y = g + 1.11. Round y to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32653 - -77188. What are the prime factors of f?\nAnswer: 3, 5, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2045)\/2863 - ((-1033)\/70 + 14)?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7907 = t, 2*j - 3*j = -2*t + 15842. What is the remainder when t is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*w = -78*w + 54. Solve -w*h + 4*h = 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 0*i - 15, -2*m + 4*i + 54 = 0. Let s = m + -31. Suppose -4 = -6*x + s*x. Put 4, -3, x in decreasing order.\nAnswer: 4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6 = -2*p. Suppose -6 = p*u + u, -3*h + u = -77. Let t(b) = -b. What is the remainder when h is divided by t(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/57 + -6\/19. Let y = -0.022 + 0.732. Let x = -6.71 + y. Sort v, 0.5, x.\nAnswer: x, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5686 divided by -1?\nAnswer: -5686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + sqrt(13) + -1 + sqrt(13) - (1 + sqrt(1872))) - ((sqrt(208) - (sqrt(208) - (1*sqrt(208) + sqrt(208))) - (-1 + sqrt(208))) + -4))*5)**2.\nAnswer: 25200*sqrt(13) + 1021225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60938004 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2 - 17. Suppose -5*n + 22 = -d. Let u(b) = b**2 - 6*b + 5. Let g be u(n). Solve g = 4*c - 4*l + 16, 4*c + l + 4 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29, 8, -19, -58, -115, -196?\n\"Answer: -l**3 + 3*l**2 - 23*l + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 4*x - 5084 = -15*n, 3825 = 3*n + x. What is the highest common divisor of n and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by -4\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*z**3 - 96*z**3 - 90*z**3 + 281*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (567\/(-30))\/9. Which is the nearest to -3\/7? (a) 3 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 278.2 and -22.3745848.\nAnswer: 255.8254152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1.173.\nAnswer: -4.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tytcecyyyttiytc. Give prob of picking 1 c and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**6\/10 + 25*f**4\/12 + 21*f**3 - 69*f. What is the second derivative of p(i) wrt i?\nAnswer: 36*i**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -19*(0 + (-4 - -3)). Let f = 22 - t. Suppose -2*y + 1148 = -5*o - 3, -y = f*o - 548. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43154145 or 647312162\/15?\nAnswer: 43154145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.2, -310, -9386?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggvglvgvllqgvv. What is prob of sequence ll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -q - 0*q. Suppose -4*k - 10 = 2*s, -k - 3 - 2 = q. Suppose -s - 46 = -r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - (151 + -142 + (3 + 0 + -2 - 4))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -6. Suppose -q*k + 74 = -238. Calculate the remainder when 153 is divided by k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11551431, 11551429, 11551427, 11551425, 11551423, 11551421?\nAnswer: 11551419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-2)\/4 - 4. Let i be ((-8)\/18)\/(k\/(-6)). Let o = 41 + -39. What is the nearest to i in o, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let s(o) = 392*o - 5*o**2 - 392*o. Calculate s(y(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -23382 (c) -0.11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l - 14. Let x(z) = 10*z - 16. Determine 4*a(q) - 3*x(q).\nAnswer: -2*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*l - y, -2 = -l - 0*l + y. Let v be ((-2)\/(-1) - l) + -33. Let b = v + 47. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7530 = 829*i - 54783 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4200140 + -12?\nAnswer: 4200123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733817?\nAnswer: 7, 104831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6691 and 22.\nAnswer: 147202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -1795331 and -1795354 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2 + 19. Let u(p) = 1 - p**2 - 2*p**2 + 2*p**2 - m. Let s(b) = -2517 + 2517 - b. Calculate s(u(f)).\nAnswer: f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48.971 + 0.029. Let c = w - 61. Is -0.2 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -881, -2016, -3615, -5678, -8205, -11196?\nAnswer: -14651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -20, -24, -26, -26?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-7))\/(55\/(-385)))\/(840\/16).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 - 54065*p**2\/4 - p\/4 + 54065\/4.\nAnswer: (p - 54065)*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2804 + -2720 - (1 + 116).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28363771 divided by 32?\nAnswer: -28363771\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-15))\/i)\/(i*i**(-1\/10)*i)*i**(-16)\/i**(-8\/11) assuming i is positive.\nAnswer: i**(-3539\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/(12\/728*(-728)\/(-624)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3)*t)\/t)**(5\/4)\/(t**(-2\/5)\/(t*t\/(t*t**(-6))*t))*(t**(-1)\/(t**(1\/9)*t*t))**33 assuming t is positive.\nAnswer: t**(-2803\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccg when three letters picked without replacement from {g: 3, c: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y = 6. Find the third derivative of 60*k - 146*k**y - 21*k**3 + 2*k**2 - 5*k**2 - 4*k**2 + 9*k**2 wrt k.\nAnswer: -1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -299633*c**3*h**2 - 7*c**3*h + 2*c**3 + 7*c**2 + 39*c*h**2 + 2*c*h - 225*h**2 - 2*h wrt c.\nAnswer: -1797798*h**2 - 42*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6803*u + 1888*u - 1478*u - 683298 = 66854 for u.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p - 14 = 86 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-42 - -21) + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/((-2124)\/(-132))*-1?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -110011000?\nAnswer: -110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ba - -93?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -5*i - 5*b - 16, -2*i - 3*b = 11. Let y = -0.51 + 3.47. Let f = y + 0.04. What is the closest to 1 in f, i, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173 times -12869?\nAnswer: -2226.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3433748*d**4 + 484*d - 123*d**2 - 1 - 23*d + 3433742*d**4 - 5*d**3 wrt d.\nAnswer: -72*d**2 - 30*d - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22757 and 2337469.\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, i: 1, y: 7, p: 2, k: 1}. What is prob of picking 1 g and 1 i?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -344\/355 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:46 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 10*o**2 - 10. Let m(w) = 6*w**2 - 4. Let x(k) = 2*d(k) - 5*m(k). Let a(u) = 7*u**2. Calculate a(x(i)).\nAnswer: 700*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 40 = 4*h, 0 = -u - 0*u + 5*h - 12. Calculate the remainder when 227 is divided by ((-767)\/(-52))\/(2\/u).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088 a factor of 172145160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k**2 - k - 10. Let y(w) = 8*w**2 - w - 9. Let d(f) = -2*f + 138. Let u be d(66). Calculate u*y(t) - 5*l(t).\nAnswer: 3*t**2 - t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*u + 65*u**2 + 89*u.\nAnswer: 65*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158467 + 242478. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570, -2116, -4730, -8514, -13570, -20000, -27906?\nAnswer: -37390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*i**5 - 3701*i**4 + i**3 + 139188*i**2 + 6*i wrt i.\nAnswer: -480*i**2 - 88824*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoao when four letters picked without replacement from aojako.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + ((-48)\/8 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)\/o*o)**(-31)*o**4\/o**(5\/3) assuming o is positive.\nAnswer: o**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4277789?\nAnswer: 53, 80713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*v + 16, -5*o = 34 - 29. Is 0.0636 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -344515, -344369, -344223, -344077?\n\"Answer: 146*g - 344661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 + 9451316*u - 11165921766482 = 0. What is u?\nAnswer: 2362829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 + 251. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1))\/((((p**5*p)\/p)\/p)\/p))\/(p**(1\/4)\/(p*p**(-1\/5)*p*p)))**(4\/3) assuming p is positive.\nAnswer: p**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-1 - -2)\/(-1). Suppose -f*o = -o - 6. Let z(l) = 0*l**2 + 3*l + 2*l - 3 + 0*l**2 - l**2. Determine z(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 5*n**2 - 2 + n**2 - 3 + 1. Let h(d) = -9*d**2 - 4*d - 9. Calculate 13*a(x) - 6*h(x).\nAnswer: 2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7*u - 4 - 7*u - 2*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (1 - 3)) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 22972445100 to the nearest one million.\nAnswer: 22972000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17.7 (b) -2\/11 (c) -0.06 (d) 0.3 (e) -3 (f) -10 (g) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5175 + 2734. Let v = t - -19607\/8. What is the common denominator of v and 41\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/210*35*6\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -94.9. Are -0.125 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/120 + z**5\/15 + z**3\/6 - 5*z**2. Let t be r(-4). Sort -2, t, -1 in decreasing order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.58399 to 0 decimal places.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 174*i. Let v(o) = -87*o. Calculate -3*c(x) - 5*v(x).\nAnswer: -87*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 11*y**2 + y + 6. Let q be w(-11). Let o = 9 + q. Suppose r - 4*a + 1 = -o, -2*r = -4*a + 6. Is -1 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 837674.4 millilitres in litres?\nAnswer: 837.6744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43358?\nAnswer: 2, 7, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -257, -424, -621, -854?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 2, 7, 12, 17, 22?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btytt. Give prob of picking 3 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(114) - sqrt(114)) + sqrt(114))*-2)\/(sqrt(12)\/((sqrt(2)*-2 - sqrt(2)) + sqrt(2) + sqrt(2))).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/14 + 3840\/84?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 1361\/82?\nAnswer: 1361\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*g - 14 = -5*n, -3*g = -5*n + 4. Sort n, -4, -1.\nAnswer: -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6104071, 6104057, 6104027, 6103975, 6103895, 6103781, 6103627, 6103427?\nAnswer: 6103175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -821 - -836. Solve p = a + 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b - 49*b + 7*b + 27*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 19*a = 26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 15*y = 0. Suppose -5*z + z + 20 = y. Suppose 82 = z*g - 8. What is the greatest common factor of 72 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -668.95201924 - 0.1\nAnswer: -669.05201924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 7 + 6 - 16)*(11 - 15 - 7 - 2 + 0 + 1 - 5 + 2 + 1 + (4 - 3 + 1)*(3 - 1 - 3) + 1 - 2 + 3).\nAnswer: 28*m + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 2*o**2 - 3*o + 3. Let w be s(3). Let n be (2\/2)\/(5 + -6)*10. Let y = w + n. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-30)*-2*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 2685 + i - 2685 + i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3323692?\nAnswer: 2, 830923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 50943957.\nAnswer: 2\/16981319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 31. Let z(u) = -3 + u + 0*u + 4. Let f(s) = 3*s + 2. Let t(o) = c*z(o) - f(o). Determine t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - n - n + 1)*(-4*n + n + 5*n) - n + n - 2*n**2 as d + g*n**2 + o*n and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -475, -949, -1423?\n\"Answer: -474*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461*i + 5344 = 477*i. What is the highest common factor of 1169 and i?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -105?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmtbtttbttv. What is prob of picking 1 m and 1 t?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4138?\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -11*y + 5*y. What is the remainder when 327\/8 + y\/(-128) is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/2, -1, -95, -0.03?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11533326 to the power of 1\/2, to the nearest integer?\nAnswer: 3396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*q. Suppose q*w + 16 = w. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2 (c) -3 (d) 35 (e) -0.0634 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/(-8) + (-1)\/4. Let j(a) = 10*a - 3. Let l be j(1). Let o(r) = -7*r**2 + 7*r - 2. Let x(h) = -10*h**2 + 10*h - 3. Calculate l*o(t) + p*x(t).\nAnswer: t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 81155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.78 * -69.1625\nAnswer: 123.10925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947809146 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 - z**2 + 22*z**2 - 47*z**2 + 18*z**2 + 11*z**2 + 11*z**2.\nAnswer: 23*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 2 - 1) + 4504 + -5. Suppose i + 130 = 18*l. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2388420929*t - 2388420929*t + 22*t**2.\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v. Let g(a) = -321*a. What is g(y(z))?\nAnswer: -1605*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijihjhihh. What is prob of sequence iihh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 6:28 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 125585.88 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**3\/2 - 3218691*c**2\/2 + 11265345*c = 0?\nAnswer: 0, 7, 1072890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001088880099 to 7 dps.\nAnswer: -0.0001089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 10\/2*-2. Do 8 and t have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 33.26. Let q = n + 0.06. Suppose 5*u - 3*u = -10. What is the closest to 1 in q, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.01 (b) 3\/37 (c) -1\/5 (d) 7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2142 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7 = a, t + 0*a + 2*a = -1. Suppose -2*c + 2*j - j - 12600001 = 0, 2*c + 12599997 = -t*j. Round c to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/14776 + -1048631\/2290280. Let p = q - -791\/62. Find the common denominator of p and -121\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2897855, -2897851, -2897847?\n\"Answer: 4*l - 2897859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -4*r - 9*d + 16, 3*r - 13 = -d. Let z(i) = 3*i**3 + 14*i + 6. Let t(l) = 2*l**3 + 9*l + 4. Determine r*z(w) - 8*t(w).\nAnswer: -w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 9565946*k**2 + 4 - 9565947*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12627 and 1342.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 3*b + 3*b)*(-2*b - 2*b - b)*(b + b - 3*b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 12*l - 8. Let f be u(11). Let p be 17 - f*3\/9. Find the third derivative of 13*d**3 - 39*d**2 + 2*d**3 + p*d**3 wrt d.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeemmmssesmsssmc. Give prob of sequence ee.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-20)\/56*(-28)\/(-10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z**2 - 108*z + 33. Does 5 divide o(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -2)**2 - (5 + sqrt(72))**2.\nAnswer: -108*sqrt(2) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**4 - 7 + 0*x**2 + 0*x + 10\/3*x**3. What is the third derivative of q(y) wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:22 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -5 (c) -1 (d) 0.3 (e) 780\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -239\nAnswer: 16.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11742022 - 30?\nAnswer: -11742052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 14*m**2 - 10*m - 63. What is p(13)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 2, c: 2, k: 3, r: 1, s: 4}. What is prob of picking 1 k, 1 s, and 1 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 + 69 + 358)*(p - p + p)*(-4 + 3 - 1).\nAnswer: -678*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8681521, -8681533, -8681553, -8681581, -8681617?\nAnswer: -8681661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4328508 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uppsvur. What is prob of sequence vu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/12)\/(3\/(-36)*-33)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*(10\/2 - 4). Let u be (3*(0 - 1))\/(-1). Solve u = b + a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 3*s**2 + 7*s - 11. Let f be i(3). Let m be 46\/f + (-16)\/(-40). Solve m*d + 12 = -8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140316 divided by 46772.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87187\/1746 + -203\/194. Let w = g + -9511\/180. Calculate the common denominator of w and (-1)\/2*(-83)\/(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 12. Let j = x - -13. Let f(t) = 2*t**2 - 2*t. Let s be f(-2). Solve 15 = -j*w + 2*v - v, 4*w - 5*v + s = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**6\/120 - 5*q**4\/24 + q**3\/2 + 2*q**2 + 571*q + 3. Let i(s) = -s**3 + 2*s - 2. What is 5*i(m) + 2*z(m)?\nAnswer: -3*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02745763 + -0.02748. What is l rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88709478?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -3*h - 6. Suppose h + 7 = w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121\/1413 - -4\/157. Do g and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4. Suppose 0 = -w*x - 4*x + 12. Which is greater: x or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1556 and 7.\nAnswer: 10892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46119, -92416, -138707, -184992, -231271, -277544?\nAnswer: -323811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**5 + 2*c**4 - 10108067*c**3 - 2*c**2 + 1878*c + 79725 wrt c?\nAnswer: -180*c**2 + 48*c - 60648402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)\/(n*n**(-6)\/n)*n*n**(3\/19)*n*n*n**(-2\/5) assuming n is positive.\nAnswer: n**(642\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18274320 by 4.\nAnswer: 4568580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2152 - -3?\nAnswer: -2148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45621228 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 34643, 666 in decreasing order.\nAnswer: 34643, 666, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (34\/1*-1)\/(6\/36). What is the common denominator of (-237)\/54 + (-1)\/3 and (18\/4 - 2)*x\/135?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**3\/6 - 347*n**2\/2 - 871*n - 2092\/3 = 0.\nAnswer: -4, -1, 1046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50328329 to the nearest integer?\nAnswer: 7094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 2*n - 2 = 0, -3*b = -4*n + 10. Solve -1 = -3*j + b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856940.5 years in millennia?\nAnswer: 856.9405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 10. Let m be f(0). Suppose m = 4*o - 22. Is 7 a factor of (6\/(-3) - -4)*o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**2))**(7\/4)*y**(-2\/7)*y**(1\/18))**(-10\/7) assuming y is positive.\nAnswer: y**(2350\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n - 99405640 + 16542360 = 122591120. What is n rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/8461 + 1032068\/736107. Let u = k - 2\/29. Which is the closest to -6? (a) u (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 5*k + 3*g - 15, -5*k + 3*g = -75. Suppose 3*r - k = 6*r. Let u be 40\/(-6) - 2\/(-3). Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 3*v + 11, u - 4*v + 5*v = 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8680 by -5.\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-8)\/(-48)*-45.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31 * 0.2.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 11:48 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -39208412.\nAnswer: 39208412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 26, 281 in decreasing order.\nAnswer: 281, 26, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**3 - 2*a**2 - a. Suppose 3*x + 1 = -2. Let j be (-2)\/((x\/2)\/1). Suppose 5*n = -5*h + 15, 20 = n + j*n. Give b(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*n + 3*n = -194, 4*x + 5*n = -297. Let b = x - -68. Solve b = -3*m + 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2 + 1988662*f + 988694137561 = 0. What is f?\nAnswer: -994331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -396 + 6730\/17. What is the closest to 3\/2 in -0.4, -5, a, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 - 20468*b - 143274\/7.\nAnswer: -2*(b + 1)*(b + 71637)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 43 - 40 - (-1 - -2). Sort 0, r, -12.\nAnswer: -12, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 940*k**3 + 69327*k**2 - 216468*k.\nAnswer: k*(k - 3)*(k + 84)*(k + 859)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + r = -1 + 10, -3*k + 2*r = 15. Let m be k*(4 - 84\/9). Let n = 82 - m. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 759, 758, 757?\n\"Answer: -v + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 21521734\nAnswer: -1\/21521734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13488479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/12? (a) -5 (b) 2\/7 (c) 2\/11 (d) 2 (e) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 453 - 396. Let k(u) = l*u**2 + 60*u**2 + 54*u**2 - 163*u**2. Let i(x) = 56*x. Calculate k(i(q)).\nAnswer: 25088*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 772 - 772 + 7*k. Let w(a) = -2*a. Determine t(w(o)).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2719*l - 2281 wrt l?\nAnswer: -2719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 474126, 7 in ascending order.\nAnswer: -19, 7, 474126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 4*v + 5*v to o*v + t and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 18 + 2. Suppose 3*f + f - 26 = -5*v, f = -2*v + c. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 10*t**2 - 6*t - 11. Let n be m(-8). Suppose 9*s - 1857 = -n. Is s a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*s**6 + 10*s**5 + 868*s**3 + 128966*s**2 wrt s?\nAnswer: 1080*s**3 + 600*s**2 + 5208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31902812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 2*p**2 - 2. Let m = -13 + 5. Let h(x) = 3*x**3 + 6*x**2 + 5. Determine m*q(i) - 3*h(i).\nAnswer: -i**3 - 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 344\/9 - 38. Let z(x) = x**3 - x**2 - x - 3. Let t be z(-2). Let l be (-261)\/585 + 2\/t. Which is the second smallest value? (a) q (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 995 times -1884?\nAnswer: -1874580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -1.8, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 10448018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/629 - 609\/6290. Find the common denominator of 121\/12 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(78)*-4)\/(-3*sqrt(54) + sqrt(6))*-5.\nAnswer: 25*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(11) - (-1 + sqrt(11))*4) + 1))**2.\nAnswer: -120*sqrt(11) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -21675.\nAnswer: -43350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -115\/6, -0.3, 0, -0.5, 1.8, 5.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4ca (base 14) to base 9\nAnswer: -1278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1. Let u(s) = 4*s - 2. Let b(f) = u(f) + 5*x(f). Let z(t) = -2*t + 3. What is 2*b(q) + 5*z(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 23, 48, 93, 164, 267?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -5. Let v be 8\/k*12\/8. Solve -v*j = i + 3*i - 14, 4*i = -3*j + 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/7)\/h*h*h)**(3\/2)\/(((h\/h**(-16))\/h)\/(((h\/h**(1\/11))\/h)\/h)) assuming h is positive.\nAnswer: h**(-1184\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of (-159732)\/(-238) - (-12)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 9. Let h be a(-5). Solve -2*s = -h*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163501 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(2\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 9*h = -840. Suppose 0*y - h = -4*y. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15523 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 - 4\/112. Suppose -4*a + 5*a = 39. Let r = -44 + a. What is the nearest to -1 in x, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2819344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001297027213 to seven dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1200\/132)\/(78\/143). Let n(g) be the second derivative of -1\/36*g**4 + 0 - w*g**2 + 10\/9*g**3 + 18*g. Find a such that n(a) = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1125842177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 6*b + b)*(-10*b + 19*b - 10*b - 4).\nAnswer: -6*b**2 - 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1 + 6 - 2 + s. Let o be f(-5). Suppose o*k = -k - 330000. Round k to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2053515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -30. What is the least common multiple of g and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(100)\/(sqrt(90) - sqrt(10))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40168 + -10?\nAnswer: 40158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -183532 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 7, -1, -4509?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 - 32*d**4 + 108*d**3 - 152*d**2 + 98*d - 24.\nAnswer: 2*(d - 12)*(d - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/14 + ((-49959)\/49)\/3. Sort b, -3, -1 in decreasing order.\nAnswer: -1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-5\/6)*o\/(o\/o**14))\/((o*o*(o**17\/o)\/o)\/o*o\/o**(1\/21)))**(-3\/10) assuming o is positive.\nAnswer: o**(47\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -151.3953 rounded to one decimal place?\nAnswer: -151.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -15 + 20 + (-1 - 8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 8*m + 9*m**2 - 7*m**2 + 7*m**3 as w*m**2 + x + q*m + h*m**3 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 132, 151, 184, 237, 316, 427, 576, 769?\n\"Answer: v**3 + v**2 + 9*v + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*d, 3*w + 3*d = d - 10. Let b be (-10170)\/(-134)*w\/24. Let p = -52\/67 + b. Find the common denominator of 85\/8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 + 8*r**2 + 6*r - 10. Let j be f(-5). Let v = j + 95. Suppose -v = n - 7. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407380089 a multiple of 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 9*o**2 + 12*o - 20. Let n be x(10). Suppose 2*i - 20 = -n. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l**3 - 11*l**2 + 10*l - 12. Let q = 27 - 25. Let p(z) = z**3 + 0*z + 0*z**2 + z**2 - z + 1. Determine q*u(t) + 22*p(t).\nAnswer: -2*t**3 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/154 and -87\/112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*h = 0. Let j be (-1)\/((-3)\/(21 - 6)). Put h, j, -1 in decreasing order.\nAnswer: j, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 30*p - 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 5*t + 342. Calculate the remainder when t is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1958095?\nAnswer: 5, 391619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -985, -984, -981, -976, -969?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*w - 1251265 + 1251490 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 2043*q + 6156.\nAnswer: -3*(q - 3)*(q + 684)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -24 (c) -2\/19 (d) -5\/4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.66 rounded to the nearest 10?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 278721 a multiple of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 10*p**2 + 10531*p**3 + 4 - 5.\nAnswer: 10531*p**3 - 10*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1508*h**2 + 5*h - 10. Let v(o) = -1509*o**2 - 4*o + 8. Calculate 4*i(p) + 5*v(p).\nAnswer: -1513*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 9 - -66) + -27 - -16?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(-2 + 0 - 2)*(-96 - 82 - 112)*(w + w - w) as v*w + l and give v.\nAnswer: 2320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6) + (-21)\/(-9). Which is the closest to 1\/3? (a) f (b) -3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 325*n - 14554 + 3090 - 1536 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1435, 1497, 1559?\n\"Answer: 62*u + 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 449 = 592 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omzjrcm. Give prob of sequence zmo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.75172 rounded to two decimal places?\nAnswer: 5.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 64*m = -86*m + 40348. Solve 8*b + m = 254 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 114386118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2608 divided by 652.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 58. Let g be 33*((-3)\/(-2) + 8\/(-16)). Is g at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1066386, -1066373, -1066360, -1066353, -1066358, -1066381?\nAnswer: -1066428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 681 + -616. Let t(f) = -f**3 - f**2 + 2*f + 2. What is the remainder when u is divided by t(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q + 1 + 3*q - 9. Let i be a(-11). Is (8 - -1)*7\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*q**2*r - h*q**2 - 57*h*q*r - 2*h*q + 2*q**2*r + 59*q**2 + 21 wrt q?\nAnswer: -2*h*r - 2*h + 4*r + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**12)\/(r*(r\/r**(-2\/41))\/r)*r**(6\/11)*r\/(r\/(r\/r**11)) assuming r is positive.\nAnswer: r**(-9698\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 12. Suppose 0 = -5*i - 5*j - 35, -10*i + j = -8*i + 14. Let r(y) = -y + 8. Calculate i*r(f) - 5*z(f).\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 - 82. Let c be (-11 - -2 - -1) + 4 + h. What is the second smallest value in -0.2, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0 (b) 0.5 (c) -5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i*i**(-2\/3))*i*i)\/i*(i*i\/i**(-9))\/i)\/(i**(3\/2)*i*i**(3\/2)*i) assuming i is positive.\nAnswer: i**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yebssvsezbbssbzezse. What is prob of sequence svey?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.7, -10678 in decreasing order.\nAnswer: 2\/9, -0.7, -10678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9789686 and 8?\nAnswer: 39158744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/31, 1\/5, 125, -2\/11?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 43 - 24*t**2 - 22 - 72.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 5. Suppose -3*q = -y*q. Solve 0 = a - q*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398689642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neen when four letters picked without replacement from nneeneeennnen.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10bd (base 14) to base 11.\nAnswer: -2207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/1*6\/(-195)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.99 + 0.27. Let h = -3.07 + t. Round h to two decimal places.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 + 3176*h - 32055. Give w(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**5\/20 + 5*i**4\/3 + i**3\/6 + 10*i**2 + 18*i. Let h be j(-20). Solve -z + 6 - 2 = h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from zzfyxsy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-80)\/25)*11\/(264\/(-16))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010233608 to 4 dps.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/3, 127183 in decreasing order.\nAnswer: 127183, 1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1228 and 13146968.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -687200\/1309077 + -4\/13223. Let j = l - -8\/9. Calculate the common denominator of 17\/2*4\/7 and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225874729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdkddk. What is prob of picking 2 d and 2 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3698885 - -1204885. Round u to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z + 8000012 = 3*u, -2*z + 5*u - 4000020 = 0. Round z to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 3*w - 8*w - 8 + 68 = 0, 29*w - 115 = 3*h - 27 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.162 to the nearest integer.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*u**4 + 7*u**4 - 79*u**3 + 78*u**3 + (1 - 1 - u**3)*(0*u + 0*u - 2*u) + 2*u - 2*u + u**4 + 2*u - 2*u**4 - 2*u.\nAnswer: -23*u**4 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z = -5*n + 5, -3*z = 3*n - 21. Let b(q) = -q + 7. Let g be b(5). Solve -2*w - g = 4, n*w = -3*u - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2425970*q. Let v(t) = -3*t. Determine i(v(u)).\nAnswer: 7277910*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2709, -10895, -24499, -43485, -67817, -97459?\nAnswer: -132375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 12*h**3 - 2*h**2. Let q be -11 + 13 - 12\/2. Let w be u(q). Round w to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 5*u. Let r = -2 + 6. Suppose r*n + 2*c = 22, -3*n + 15 = -0*n + c. Let h(x) = 1 - n*x + 5*x - 1. What is -3*h(q) + l(q)?\nAnswer: q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 2458 + 2458.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1245328?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Suppose 12 = -4*t - s*o, -3*t - 4*o - 5 = 11. Solve 4*u + u + 5*q = -50, 5*u + 3*q + 40 = t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 0.5, -5, 103.24?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - k + 18*k + 50.\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (34 + 12 + -38)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -39, 4, -3\/5, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 376\/275 + -131\/165. Let q = r - 6\/25. Factor -q*n**3 + 1\/3*n**2 + 0 - 1\/3*n**4 + 1\/3*n.\nAnswer: -n*(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26909 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1864 - 1026. List the prime factors of o.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1021541940?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1053418*j**2*w**2 - j**2*w - 2*j**2 - 2*j - 19747*w + 9 wrt w?\nAnswer: -2106836*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 3*d**2 - 3*d - 11. Let x be a(-3). Let u be x\/(24\/198)*-12. What is the greatest common divisor of u and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*y + 6 - 6. Solve 0 = -12*v - 0 - y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 741781.8 to the nearest 100.\nAnswer: 741800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520297?\nAnswer: 520297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 + 2*l**2 - l. Let a be p(1). Suppose 0 = -4*k + 3*k. Sort a, k, -4 in decreasing order.\nAnswer: k, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 5?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 9*u**2 - 6.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 0.01, 0.2, -27\/8, 1\/3.\nAnswer: -27\/8, -1\/7, 0.01, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 4. Let u = 3731 - 3726. Sort u, -5, y, 4.\nAnswer: y, -5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.85805 + 0.14195. What is the nearest to -0.237 in -0.5, 5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 828, 783, 692, 543, 324, 23, -372, -873?\n\"Answer: -2*y**3 - 11*y**2 + 2*y + 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 373*c**6 - 842*c**6 + 3167*c**6 + 366*c**2 + c wrt c?\nAnswer: 323760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7714 by 266.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2042 (base 8) in base 10?\nAnswer: -1058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 121507302 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 u when four letters picked without replacement from uzbuzuuuubbbz?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 11. Let w = 86\/13 + -1050\/143. Let h = w + 35\/33. What is the second biggest value in c, 1\/7, h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/8)\/(a**(3\/2)\/a)*((a*a**(-1\/10))\/a)**(2\/21) assuming a is positive.\nAnswer: a**(-533\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*z - 39. Suppose l = 2, z*l - 1 = k + 14. What is the third biggest value in 0.2, -2, k, -8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 11870*d + 1961. Is g(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5)*(-729 - 39*j + 729) - 3*j - 1 + 1 as y + v*j and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(4\/11)*u\/(u*(u*u**13)\/u)*(u**(-1))**(-9\/10) assuming u is positive.\nAnswer: u**(-1261\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 3*y = 46960. Suppose 5*m - 14667 = -3*j, -6*j + 5*j = m - y. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + 0 + (1230 - 1240).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1545 by 5.\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5643 is divided by 64?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/19)*b*b**5)\/(b**(-3)*b**(-5)*b))\/((b*b**(-3)*b*b)\/b**8)**(-11) assuming b is positive.\nAnswer: b**(-1427\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(96)\/(sqrt(324)*-4 - sqrt(4)))\/(sqrt(588)*-4*1).\nAnswer: 3*sqrt(2)\/518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5 + sqrt(612) + 3 - (sqrt(612) - 6*-1*sqrt(612)))*3 + 3)**2*5.\nAnswer: -145800*sqrt(17) + 4975425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 898 = 5*d + 233. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -247897.\nAnswer: 991588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**5\/20 + 3*n**4\/4 + 2*n**3\/3 - 5*n**2\/2 + 20*n - 4. What is q(-8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (13 - (-13 - -11 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 2*p**2 + 9*p + 17. Let c be r(-3). Solve 4*u - 8 = 5*w - 6*w, 5*w - 2*u = -c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1918 - 1912. Solve 0*f + 6*f = -c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**5 - 2*t**4 + 6440*t**3 - t**2 + 72296 wrt t?\nAnswer: 120*t**2 - 48*t + 38640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1246, -1245, -1246, -1249, -1254, -1261?\n\"Answer: -g**2 + 4*g - 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3340*t. Let n(v) = v**2. What is n(b(s))?\nAnswer: 11155600*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.3, 2\/7, 15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1683)\/(-7) - ((-45)\/(-35))\/3 and 140?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 318.4 - 3104.76. Let s = p + 2721. Let x = s - -68. Round x to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(3\/4 + (-62 - -62))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2325412241 + -21?\nAnswer: 2325412220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) -8 (c) 2\/21 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405149657.\nAnswer: 11, 36831787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -9, -2 in ascending order.\nAnswer: -9, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a. Calculate the remainder when 77 is divided by o(-13).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/60 - 610\/732.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + d - 7*d + 3.\nAnswer: -6*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2105325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3 + 0*r + 6*r - r. Suppose -2*p + 8 = 2*n, 5 = 3*n - 1. Let i(q) = -4*q - 2. What is p*b(k) + 3*i(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 6, 1\/1901, -3 in decreasing order.\nAnswer: 6, 1\/1901, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*o + 2*o**3 + 29*o + (1 + 0 - 4)*(-4*o**2 + 4*o**2 - 3*o**3) as y + r*o**3 + g*o**2 + b*o and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.475 + -0.045. Let v = s - -0.72. Let b be 1 + -2 + (-15)\/(-17). Put 1\/7, b, v in decreasing order.\nAnswer: v, 1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 - 103. Suppose -w - 3 = -2. Sort w, z, 2.\nAnswer: w, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v*v*v*v**0)\/v)\/v*v))\/v)\/(v**(2\/7)\/v)*v**4\/v*v**4 assuming v is positive.\nAnswer: v**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 3, j: 10, e: 4}. Give prob of picking 2 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7177 (b) -0.308 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 377 and 1891838?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/2436 and -145\/12.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 176.219834405 - -0.780152995. Let q = -177 + g. Round q to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -5*b**4\/4 - 2*b**3\/3 - b**2\/2 + 2. Let n be g(-1). Suppose -n = 2*p - 6*p. What is the greatest common factor of p and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 45627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 d, and 1 y when four letters picked without replacement from dddrwdryrrrwdrryr.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*h + 2*p + 969, -4*p - 4 = 0. Let r = h + 448. Suppose 5*i - r = -4*x - x, 3*i + 5*x = 115. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 487.8217 litres?\nAnswer: 487821.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*p**2 - 3155*p + 3157*p - 97*p**2 - 72 - 79*p**2 wrt p.\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16.67 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1\/10, -56?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, r: 1, b: 1}. What is prob of picking 1 r, 1 b, and 1 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201 by 6848.\nAnswer: 201\/6848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-2) - (-516)\/215. What is the closest to -15 in 0.3, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1327*k**3*u**2 + 2*k**3*u - 3*k*u**2 + 1032*k*u + 5 wrt u?\nAnswer: 2654*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.2. Let u = -1.91 - 0.09. Which is the third smallest value? (a) 0.2 (b) w (c) u (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5628*x + 1198802. What is m(213)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -62.2341 < -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55594 by -1.\nAnswer: -55594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 + 138*d**3 - 432*d**2 + 8*d + 576.\nAnswer: 2*(d - 2)**2*(d + 1)*(d + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 12*l = -120. Let p be 9\/63 - l\/(-63). What is the second smallest value in -2\/7, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -86 (b) 7 (c) -5 (d) 31\/11 (e) -0.59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/2744 and (-1018)\/(-7840)*2 - (224\/20 - 11).\nAnswer: 13720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/6)\/(14\/(-4)*(-111)\/518)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 10:21 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:48 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/1569, -0.1, 1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 14*j**2 - 15*j + 18. Let z be b(-15). What is the tens digit of z - (3 - (4 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 5*m**2 + 2*m. Let q be y(-2). Let t be q\/20 - 24\/35. Which is the nearest to -1\/4? (a) t (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/15300 and -91\/510.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10874*w - 54435. What is r(5)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15220*o**2*v**3 + o**2*v + 41*o**2 - 2*o*v**3 + 2*o*v**2 - 3*o - 237*v**3 - 35*v wrt v.\nAnswer: 91320*o**2 - 12*o - 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 309916639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/20 (b) -0.3 (c) 2\/13 (d) -42 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89462\/4 + 426\/284 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2966, 14679, 46476, 108401, 210498, 362811?\nAnswer: 575384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = -8. Suppose -i*a = -12*a + 8. Let r = 75 + -75. What is the nearest to a in r, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 2*y - 61173 + 3*y + 2164 + y.\nAnswer: 2*y - 59009","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1912 by 4.\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 184865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 11*q = -0*t - 51, -20 = 22*t - 5*q + 4 + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/102 and 109\/1632.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19716304 by 4.\nAnswer: 4929076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -323372766, -323372767, -323372768?\n\"Answer: -x - 323372765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 6991794.\nAnswer: 34958970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -58149.441 to the nearest one thousand.\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djaujjlljubuj. Give prob of picking 1 j and 1 l.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5059480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -6, 3, 16, 33?\n\"Answer: 2*t**2 - t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 6*l**2 - 6*l - 1. Let y be (1\/(-1) - -1) + 25. Suppose 0 = 4*p, 5*f + 0*p = 2*p - y. What are the prime factors of q(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2358 + 1416 = 111*b. Suppose 3*u - 5*r = 2*u + 59, 0 = -2*u - 4*r + 48. What is the highest common factor of b and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -409*c**3 + 95 + 23 + 56*c + 411*c**3 wrt c?\nAnswer: 6*c**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254594.\nAnswer: 2, 127297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - 0.6. Let n = 0.103 + -0.403. Let a = 1.5 - 2. What is the nearest to n in 0, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**3 - 9*s**3 - 6*s**3)*(-2 + 1 - 6)*(s - 3 + 3) in the form x*s**4 + u*s**2 + w + p*s**3 + j*s and give x.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i - 30. Let z be s(-7). Solve 4*x + 3*o - 3 = 0, x - z*o = -x - 31 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32\/3 - -31\/3. Let l = 0.37 + 3.43. Let i = l + -4. What is the fourth smallest value in i, 4, -4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 584 (c) 21665\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20014117522 plus -6?\nAnswer: 20014117516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 + 15 - -11 - (-16 + -91)) + -4 + -1.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**23)**3*b**2*b**37 assuming b is positive.\nAnswer: b**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 11:52 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -0.5 (b) -3\/20 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**3 - 116444*g**2 = 0.\nAnswer: -29111, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 10*y + 74. Let p be u(-7). Suppose -19*t = p*t - 46. Factor 0 + 4\/5*k + 2\/5*k**t.\nAnswer: 2*k*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 3*m - 3*m)*(-m - 10 + 5 + 3).\nAnswer: m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 27804.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -2\/5 (c) 10.301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 3*p**2 + 2*p + 2. What is the least common multiple of u(-4) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -9, -5, 1, -11, 6 in ascending order.\nAnswer: -14, -11, -9, -5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -10 (c) -0.015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 at least 498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/227 in -468, -5, -4\/3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -6) + (-83 - (-30 + 15)) - -1.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 519 - 528. What is the third biggest value in -5, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/30 - 19*y**4\/24 - y**3\/2 - 3*y**2 + 100*y - 1. What is w(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-4)*s**(-1\/5)\/s)\/(s**(-1\/2)\/s*(s\/(s**(2\/7)*s))\/s))\/(s**(1\/7)*(s\/s**(-3\/2))\/s*s)**(-1\/7) assuming s is positive.\nAnswer: s**(-9\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6*(-8)\/16)\/(2 - 1). Determine y, given that 2\/3 - 2\/3*y - 2\/3*y**2 + 2\/3*y**b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 2.7, 2, -3, 0.63, -59, -2 in descending order.\nAnswer: 2.7, 2, 0.63, 1\/7, -2, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/60)\/((-1)\/(-3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 f when three letters picked without replacement from qqqqqqfqfqq.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*n + 17*n - 15*n - 36*n to s*n + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2649*d**2 + 3611802*d - 3611802*d)*(-3*d + d + 7*d).\nAnswer: -13245*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003505618042 rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**5\/30 + l**4\/6 + 8*l**2. Factor n(s).\nAnswer: -2*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2457 by 27.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 179 = 5*b, -s + 113 = 3*b - 0*b. What is the remainder when 147 is divided by b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -30 and -21913\/751 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 25. Let b = u - -1. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 0 + 1\/2*a**3 + 7\/15*a**5 - 1\/24*a**4 + 54*a**2 + 0*a. Find the second derivative of z(v) wrt v.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -58. Let r be ((-1)\/(-2) - 1) + 0. Let o = -2.2 - -2.3. Which is the closest to o? (a) -0.4 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214140 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17636\/9 != 1960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 1. Let g(q) = 3*q**2 + 22*q - 160. Let d(j) = -g(j) - 3*n(j). Let s(p) be the first derivative of d(p). Let x(r) = -2*r. Determine s(x(i)).\nAnswer: 12*i - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6508 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 12440 = -4*h - 0*v, -3*h + 9336 = 3*v. Let w = -2056 + h. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -84*u + 1613. Determine c(18).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -585.66 or -2\/3?\nAnswer: -585.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32659\/9 - 3627. Let 0*b + 14\/9*b**2 + 2\/9*b**4 - u*b**3 + 0 = 0. What is b?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 62. What is the remainder when 285 is divided by o(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v - 27*v = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-217980)\/10380)\/((-1)\/(0 + -1))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - -0.3. Let w = j + -4.2. Suppose -2085*m - 1711*m = 3796. Which is the closest to m? (a) w (b) -2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 119265 (b) -0.8 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6704 and 2864.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3103129266?\nAnswer: 2, 3, 71, 7284341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 730134 - -269866. What is o rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = -2*l, -3*l = 5*c - 2*c - 12. Solve 0*i + 178\/5*i**2 - 160*i**c + 0*i**3 - 8\/5 = 0.\nAnswer: -2\/5, -1\/4, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 - -0.01. Let z = -0.16 + u. Is 1 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 3*v**2 + 12*v + 17. What is i(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 62.41162 years?\nAnswer: 6.241162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.903 and 205.\nAnswer: 390.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*w + 1)*(-5 + w + 5) + 18 + 5*w**2 + 15 - 29.\nAnswer: 2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -757 at most -767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4045*y**2 + 12154*y**2 + 0 + 13314*y**2 + 0.\nAnswer: 21423*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -311040241*y**2 - 930122462*y.\nAnswer: -622080482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16573 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 135 - ((-2)\/(-1) + -1). Let a(o) = o**2 - 4*o + 4. Let t be a(4). Suppose -38 + m = t*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -11*v**4\/4 - 17*v**3\/3 + 117*v**2. What is the derivative of j(a) wrt a?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/o)**(2\/5)\/(o\/((o*o**1)\/o))**(-1\/76) assuming o is positive.\nAnswer: o**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629192?\nAnswer: 2, 78649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*g + 8 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-4))\/((c\/c**5*c*c)\/c*c)*(c**0*c)**(-6\/7) assuming c is positive.\nAnswer: c**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - ((-36)\/(-21) - 5). Is t less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -11, -39, -99, -203, -363?\n\"Answer: -2*n**3 + 2*n**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21499 minus 377574?\nAnswer: -399073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26048 and 54464.\nAnswer: 599104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-34*(-166)\/324530)\/(2\/(-20))\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/18271 and -113\/667722.\nAnswer: 7344942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (143 - 153) + 82\/8. Let s(a) be the second derivative of -k*a**5 + 0 + 5\/6*a**3 - 5\/12*a**4 + 5\/2*a**2 + 15*a. Determine y so that s(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123544656 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 1\/4 (b) -4 (c) -97 (d) 0.5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**3\/6 + 5*y**2\/2 + 4*y. Does 3 divide i(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54914 take away 11?\nAnswer: -54925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.03, -1, -1\/15, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 1, d: 6, b: 3, i: 4}. Give prob of picking 1 z and 2 b.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -458 + 457.789. Let d = f - -2.811. Which is the second biggest value? (a) -2\/7 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*k - 9 = -3*l, 2*k + 13 = l. Which is the smallest value? (a) l (b) 0.4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 22. Let z(p) = p**2 + 5*p + 3. Let c be z(-2). Let k = c - -5. Solve -k*y + b = -5*y - 2*i, -y + 18 = -4*i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 449394 and 57112?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -6*z + 2*z - 6*f, -284 = -3*z - 4*f. Let v = 18 + -16. Suppose 5*w = v*w + 279. Is z less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3463140.\nAnswer: 2, 3, 5, 57719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - ((-594)\/11 - (1 + -1)). Let n = 10 + -6. Calculate the highest common factor of n and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 7:36 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2 - 1. Let t(v) = v**3 + 4*v**2 - 6*v - 6. Let s be t(-5). Calculate c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 8 - 62 = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56006 + 103816. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 + 3*y. Let r be m(-2). What is the highest common factor of 238 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -538*i + 3213, 0 = 604*o - 607*o + 3*i - 33 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -819, -0.4, 1, 10\/9 in decreasing order.\nAnswer: 10\/9, 1, 2\/9, -0.4, -819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 352*s**2 - 249*s**2 + 0 - 2 - 2*s wrt s?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Let i = 82.53 + -158.53. Which is greater: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -33*v + 52*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14296345 = -i + 2*k + 11233643, -2*i = 3*k - 51060018. What is i rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 4*h + 1. Let u(q) = -3*q**2 + 7*q - 2. Determine -5*n(a) - 3*u(a).\nAnswer: -a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 13*b**2 + 10*b - 9. Let c be r(-12). What is m in 6*m - 5 + 0 + 27*m**3 + c*m**4 + 21*m**2 + 5 + 3*m**5 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5226*o**2 + 18*o. Let g(s) = -84*s**2. Give c(g(k)).\nAnswer: 36874656*k**4 - 1512*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05289761 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 1\/6*l**7 + l**3 + 0*l**6 + 0*l**4 + 0*l**5 + 0 + 7*l + 0*l**2. What is the second derivative of m(q) wrt q?\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 3 - 4*w**3 + 3 + 5 to the form f*w**3 + k*w**2 + t*w + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*q - 30, -o + 3*q - 6 = -2*o. Suppose 3*k + 18 = o*k. Solve 0 = -0*f - 3*f + k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/9)\/(t*t**(-2)\/t)*t\/(t*(t\/t**(-1))\/t)*t**(4\/3))**(8\/11) assuming t is positive.\nAnswer: t**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -12122211100?\nAnswer: -12122211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-1))\/(-7)*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 - 14*p**2 - 22*p + 49. Determine q(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-22) - 56\/66. Let m be -1*3\/(-9)*-1. What is the closest to 0.1 in f, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 l, and 1 y when four letters picked without replacement from {m: 12, l: 1, y: 6}?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163 - -20. Suppose 2*s - b = 333. What is the units digit of s\/9 + (-8)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10799, -10815, -10843, -10883, -10935, -10999, -11075?\n\"Answer: -6*g**2 + 2*g - 10795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2001 and 2484.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*f + 13 = 2*f, 3*b - 2*f = -28. Let d be (2*-1)\/(4\/b). Let x = -4.62 - 0.38. What is the nearest to 1 in 0.3, x, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 7*l - 1 - 7.\nAnswer: 7*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11214 divided by -8870?\nAnswer: 5607\/4435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3 - 3. Let k(y) = -7*y**2 + 11*y + 18. Let z be k(r). Let o = 430 + z. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -51. Let l = 1 + -3. Let s = -4 - l. Which is the biggest value? (a) s (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/6, 2\/3, -25 in descending order.\nAnswer: 4, 2\/3, 1\/6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w + 3*w + 12*w + 3*w - 3*w + w + (-5*w + 4*w - w)*(-5 + 0 + 3) - w + 6*w - 4*w - 3*w - 2*w + 2*w + (-3 + 2 - 1)*(2*w + 2*w - 5*w).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m - 8*m + 9*m)*(4 + 50*m**3 - 44*m**3 - 17*m**3 - 3*m**4).\nAnswer: -33*m**5 - 121*m**4 + 44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.6 + -4.2. Let k = l - 10.3. Let z = 6 - k. What is the third smallest value in 0.2, z, 2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 33\/5 of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70? (a) 0.13 (b) -4928 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 16.1. Let z = u + -0.31. Let s = z + 0.21. Which is the closest to 0.1? (a) s (b) -6 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6255 - 0.3255. Let o = 0.31 - 0.3. Let h = 0.41 + -0.01. What is the third biggest value in p, o, h, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -8976.\nAnswer: -35904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pphhrpph. What is prob of picking 2 h and 1 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(10\/13)\/d*d*d\/(d\/(d\/(d\/(d**39*d)))) assuming d is positive.\nAnswer: d**(530\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2077 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 238*q**2 + 80438*q**3 - 80438*q**3 + q**4 to the form s*q**4 + v*q + f*q**3 + b + t*q**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is (((-595)\/(-14))\/17)\/(2\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 42. Suppose -f*m + m = -108. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r - 3*m - 274, 5*r - 2*m = -1319. Let j = r - -387. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2\/5 - 15355584*b\/5 + 15355586\/5 = 0.\nAnswer: -7677793, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1463\/2 + -733. What is the third smallest value in s, -93, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 8581022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 0*p**2 - p + 0*p**3 + 0 - 1\/6*p**4. Let k(y) = -2 + y + 3 - 1. Give x(k(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s + 101. Let h(m) = 25. Let n(a) = f(a) - 4*h(a). Give n(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 159616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 14*y**2. Let l be n(-1). Solve -5*i + 9 + l = -4*z, 0 = 2*i + 4*z + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557622.\nAnswer: 2, 3, 13, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2448093492342 and -74.\nAnswer: -2448093492416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let t(j) = 1449*j. Determine t(x(v)).\nAnswer: 1449*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1039 = 406*q - 3069 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5814.797mm to centimeters.\nAnswer: 581.4797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 2408299.\nAnswer: 50\/2408299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = -0*g + 64. What is the hundreds digit of 1 - -323 - (-12)\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316*k - 3657 = -317*k. List the prime factors of k.\nAnswer: 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1)*o)\/o*o**(-5))\/(o**7\/o**(-1\/4))*(o**(-1\/4)*o*o**(-2))\/(((o*o**(-2\/3)*o)\/o)\/(o\/(o**1*o))) assuming o is positive.\nAnswer: o**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 846, 731, 634, 561, 518?\n\"Answer: i**3 + 3*i**2 - 131*i + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4111 - 1524?\nAnswer: -10035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 11 = 2*u + 3*a, a = -4*u + 27. Suppose 0 = 19*z - u*z - 180. What is the greatest common factor of 45 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/(q*q**(-7))*(q**1)**(-15\/4))\/((q**1)**(-11)\/(q**(2\/5))**(-32)) assuming q is positive.\nAnswer: q**(169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 72017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.550266 rounded to 2 decimal places?\nAnswer: 28.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 2*a + 1. Let m be n(-1). Let o be ((-4)\/12)\/(m\/(-3)). Let q(d) = -10*d**2 + d. What is q(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**2\/2 + 4*h - 26. Let u be j(5). Is ((-45)\/(-10) + u)*3148\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2. Let l be 0 + 18\/30*20\/18. Let f(i) be the second derivative of 0*i**2 - 5*i - l*i**3 + 0. Determine f(t(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 275*f**2 + 404*f + 529. Give i(136).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + 4.01. Let i be (0 - 0) + 2 - -1. Which is the biggest value? (a) i (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10996601690 rounded to the nearest one hundred thousand?\nAnswer: -10996600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 815957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i. Let r(v) = 650*v. What is r(p(m))?\nAnswer: -2600*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3736.13193 rounded to 1 decimal place?\nAnswer: 3736.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -5, 11 in descending order.\nAnswer: 11, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10 = 5. Suppose 0 = -n*i - 2*i. Suppose i = 4*k + k - 20, -5*r - 2 = -3*k. Solve 0 = -r*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.4, 1\/3, -0.13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459318 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1002945208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4*5\/70)\/(136\/357). Factor 0*x - g*x**2 + 3\/4.\nAnswer: -3*(x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 138706820.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 182 - 181. What is the second derivative of 0 - 31*p**4 - 1 + p**3 - c + 208*p - 95*p wrt p?\nAnswer: -372*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -z - 37, -4*z = -25*i + 24*i + 34. Let d(h) = 2*h**2 - 21*h - 4. Let b be d(11). Solve -i*y = -1 + b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000608 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c + 188 + 112 = -14*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 736\/48 + -12 - (-4)\/(-1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2134 + 2134. Solve 22 = -p*f - 11*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1341 + 1339.799. What is n rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/3 + 1\/(-3). Suppose -4*l = -12, -4*l = 3*t + 30 + 6. Let g = t - -18. Solve -4*m + 3*n = -2*n - 10, f = -m - g*n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231003220 (base 4) to base 3\nAnswer: 100101011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -15. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*r + 150. Suppose i + 4*i = -2*y + r, i - 27 = -3*y. Let u = 80\/9 - y. Sort u, 2\/13, -4 in ascending order.\nAnswer: -4, u, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 1 + m**2 - m**2 + 4*m + 2. Let n be y(-3). What is the first derivative of o - n + 5 - 3*o wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/2 of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35421546 and 24.\nAnswer: 141686184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z - 39. Determine c(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(9\/7))**(-14\/5))**5 assuming r is positive.\nAnswer: r**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33401746 and 504994.\nAnswer: 233812222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -22312\/5 at least -4462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**5\/7 - 3300*o**4\/7 - 675660*o**3\/7 + 2046820*o**2\/7 - 2053440*o\/7 + 685584\/7.\nAnswer: -4*(o - 1)**3*(o + 414)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 982\/545 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -3, -100.\nAnswer: -100, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 23*m + 159. Determine n(17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5599253.\nAnswer: 11, 509023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0) + (1 - -2) + -4. Let v be (-26)\/(-6) + (-32)\/8. Factor 2\/3*f + h - v*f**2.\nAnswer: -f*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(3\/(-1))*(-5)\/(-25). What is the smallest value in 4, -11, q?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -29. Let m be 4*-2*(-12)\/x. Suppose -s - s - 2*o = -26, 0 = -m*s - 4*o + 39. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 11*o**2 - 13*o - 7. Let c be n(-12). Suppose -3*s + 5*j = -19, -s - 20 = -c*s + 4*j. Sort -1, -5, s in descending order.\nAnswer: s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c8c45 (base 13) in base 11?\nAnswer: 919166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = s + 7, 6387*y - 3*s - 21 = 6383*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(960)*-1)\/(sqrt(243) + sqrt(243)*-2*5 + sqrt(243)) + 4.\nAnswer: -sqrt(5)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3\/5 + 75996*s**2\/5 + 334759824*s\/5 + 409371423552\/5 = 0. Calculate s.\nAnswer: -20124, -2604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -54992979136 + -3.46?\nAnswer: -54992979139.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.2 + 9. Let y = 3 + -3.1. Put 4, j, y in decreasing order.\nAnswer: 4, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 77 - 40 = 37. Sort -763, -5, o.\nAnswer: -763, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125408 divided by -125408?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**3 - 6*a**3 + 0*a**3)*(-a + a - 2*a) + 9*a**4 - 2*a**4 - 38*a**4 in the form w*a**4 + d*a + s*a**2 + u*a**3 + f and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 8:38 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 101*f**2 - 80*f + 1996. Determine p(-100).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*g - 8, 2*g + 1 = v + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5 + 23*x**4 + 189*x**3 + 637*x**2 + 686*x = 0. Calculate x.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 6, 5864, 5 in ascending order.\nAnswer: 5, 6, 166, 5864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61188 - -4?\nAnswer: -61184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*k + 5, 0*k + 3*x + 3 = -5*k. Let i(h) = 4*h**2. Let l be i(1). Suppose l*a = 12, -3*a = -g - k*a. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4 - (-65)\/60. What is the nearest to -1.3 in -1, c, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12229 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 f = -45 + 44. Let m(i) = -i**3 - 5*i**2 - 3*i + 2. Let h be m(-4). Let u be 2\/(-3 + (3 - h)). Which is the closest to f? (a) -2\/9 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8b (base 12) to base 11\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1)*-7*644\/(-588)*-3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -488*c - 3. Let v be f(1). Let w = 364 - v. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1645 + -1003. Calculate the remainder when w is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 2*b. Let i(g) = -7*g + 4*g**2 - g**2 + g**2. Suppose -3*o + o - 27 = -y, -y = 1. Let c(q) = o*h(q) - 4*i(q). Let f(l) = l. Calculate c(f(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 900?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1575)\/sqrt(9) + (1*sqrt(63) + sqrt(63))\/sqrt(9) - (2*(2 + sqrt(7)) + 0 + sqrt(343) + sqrt(343)).\nAnswer: -9*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33 + (3\/(-8) - (-148)\/(-32)). What is the highest common factor of 413 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**3\/7 - 13*d**2\/7 + 4*d\/7 + 12\/7 = 0 for d.\nAnswer: -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 310 = 4*d. Let w = d - 37. Suppose 3*a = w + 5. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 142021*c**2 + 15127402320*c - 45382633024\/3.\nAnswer: (c - 1)*(c + 213032)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59204608 and 27648.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -83a8?\nAnswer: 83a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = 0. Suppose 0 = f - 3*f - 5*i + 5, -2 = 2*i. Suppose j + 0*j = h, -2*j = -f*o + 10. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*i + 4, -3*i = 4*r + 2*i + 49 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s - s)*(2 - 2 - s)*(-7*s + 2*s + 0*s).\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3835414552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 450, 1101, 2366, 4449, 7554, 11885, 17646?\nAnswer: 25041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25066)\/(-888) + (-8)\/(-24). Let q = j - 9\/148. Find the common denominator of q and (-301)\/30 - (-3)\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/21, -1\/6, 14, 0.4, -1\/5 in descending order.\nAnswer: 14, 0.4, 1\/21, -1\/6, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4*(2295\/68)\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - y + 18. Let f be d(0). Let k = -4 + f. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -4)*-1*5. Suppose 0 = 2*o - 62 - 20. Let z = o + x. What is the greatest common factor of z and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.11595894 to one dp.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 + 150*t**2 + 30000*t + 2000000.\nAnswer: (t + 200)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4257?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 83272?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 times 4?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15360689 - 0.1536. Round s to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109958903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/5)\/(w\/(w\/((w*w\/((w\/(w\/(w\/w**7))*w)\/w))\/w))*w)*w**(-1)*((w*w**(-7))\/w)\/w)**(-49))**43 assuming w is positive.\nAnswer: w**(176988\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 7*q**2 - 6*q + 10. Let s be l(-8). Let u(j) = j**2 + 3*j - 14. Let f be u(s). Solve f = -c + 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o - 7. Let l be m(-8). Let z be 1 + 6 + l + -14. Solve -6 = -3*j + 4*a + 17, -z = 5*a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhhhahfkfgkkkkhf. Give prob of sequence hf.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5444\/396949 or -1?\nAnswer: -5444\/396949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -40*v + 645. Let o be q(16). Let y = 1.96 - -0.04. Let n(g) = g + 4. Let m be n(-5). What is the nearest to m in y, o, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/4595616 and 25\/792.\nAnswer: 50551776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 4:28 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 18896.\nAnswer: -3\/18896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*n**2 + 13*n**2 - 17*n**2)*(-5*n**2 - n**2 + n**2 + 2*n) as r + f*n**2 + m*n**3 + p*n**4 + l*n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**4 + l + 0 + l**2 - 5*l**4 + 1. Let u(c) = -20*c**4 + 3*c**2 - 18*c + 3. Let v(m) = 3*g(m) - u(m). Find the second derivative of v(i) wrt i.\nAnswer: 276*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -4 (c) -4\/3 (d) 1603\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -8 - -9) + 1 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3004 + -525.3004. Which is the nearest to -0.1? (a) 0.5 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24006 - 13529. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/12*1*4\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, a: 1, w: 4, o: 2, r: 2}. What is prob of sequence do?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-42))\/((-779)\/(-114))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.737 + 838738.743\nAnswer: 838738.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r + 3. Let g(u) = -40*u + 25. Let d(s) = 3*g(s) - 25*x(s). Let v be 4 - (-2*1 - -2). What is the least common multiple of 16 and d(v)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o**4 - o**2 + 2*o**2 + o + 0*o**2 as h*o + j*o**2 + g*o**4 + w*o**3 + m and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -188024 divided by -94012?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*t**2 - 308*i*t + 662*i - 1547818*t**2 with respect to i.\nAnswer: -t**2 - 308*t + 662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 248 divided by 10\nAnswer: 124\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 - 5*n**3 + 7*n**3 + 2*n**4 - n + 0*n**3 as p*n**2 + q*n + k + l*n**4 + h*n**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*l**2 + 0*l**2 + 7*l**2 in the form g*l + u + j*l**2 and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3) - 8\/84*7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 11986166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w + 190 = 0. Let u(j) = 52*j + 1390. Let h be u(-26). What is the greatest common factor of w and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 446, -1436, -1 in descending order.\nAnswer: 446, -1, -1436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24394 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117103793 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -155.39087 to zero dps.\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**4\/8 - 7*g**3\/6 + 2*g**2 - 4*g. Let f(o) be the first derivative of b(o). Find the first derivative of f(v) wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 6*d**2 + d + 1. What is w(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 22*a**2 + 88*a - 56. Is f(17) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 4*y + 0*y)*(5*y**3 - 5*y**3 + 2*y**4) - 13928*y**3 + 17*y**5 + 13925*y**3 + 1 - 2*y + 1.\nAnswer: 19*y**5 - 3*y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/20 and -143\/12802314?\nAnswer: 128023140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/180*13\/(104\/(-20))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(1\/3)*(a**1\/a)**25 assuming a is positive.\nAnswer: a**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 97646.08?\nAnswer: -292938.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -301.24, -3, -4, 3\/2, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 13. Suppose -v = -2*k - 4. Calculate the lowest common multiple of 18 and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -97838*v. Let l(n) = 8*n**2 + 1. Calculate b(l(r)).\nAnswer: -782704*r**2 - 97838","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**3\/3 - 3*f**2\/2 - 55*f - 94. Let x be m(-6). Let u = -150 + 3601\/24. Is u at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924366732003 - -0.3?\nAnswer: 924366732003.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.94 - 0.94. Let g be (-7)\/(-14) - 35\/62. What is the second biggest value in g, 3, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -3\/4 (c) -1\/14 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*n = -40, -4*p = 6*p - 3*n + n - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(5) - 2*sqrt(5)) - (sqrt(245) + 0)) + -6*(-5 + -1*sqrt(500)))**2.\nAnswer: 3016*sqrt(5) + 14361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2281\nAnswer: 3\/2281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -620380513 by -1.\nAnswer: 620380513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*h - 4*c + 96, -21 - 30 + 36 = 5*c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25 + 9)\/((-2)\/3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (42\/(-12) + 3)\/((-29)\/780216)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**3\/6 + 5*x**2\/2 + 4*x. Give o(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -2493709?\nAnswer: -2493709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69290\/11125732941 + -310852690782395067791\/11904534246870. Let o = 26112128 + c. Let q = o + 8\/107. Find the common denominator of q and 37\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-75)*(3\/(-3))\/(-1))\/(-12).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l - 4*h = 116, 2*h - 2 = 0. What is the remainder when l is divided by 1 - 1 - (-28)\/(-4 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 rounded to the nearest integer?\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270159444 and 21624.\nAnswer: 540318888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1540\/(-6))\/(4 - (-19204)\/(-4800)). Round w to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13594, -13592, -13590, -13588, -13586?\nAnswer: -13584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -7671, 85 in decreasing order.\nAnswer: 85, 5, 3, -7671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - (3 + -2)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 3:48 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 151 = -a. Suppose -a = 18*g - 23*g. Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -828134 divided by 43586.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -63305 divided by -12661?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0 (b) -0.5 (c) 21 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*g + 16*g - 24*g - 3)*(-2 + 4 + 5).\nAnswer: 35*g - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 115. Let m = z + 94. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(117) + 1)*-3*2 + sqrt(117)*2*-1 + 1*-2*sqrt(117))**2*-2.\nAnswer: -70416 - 2160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24009\/22 - 1090. Calculate the common denominator of c and (-297)\/30 - (2 - 3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 t when three letters picked without replacement from {w: 1, t: 5, f: 3, b: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 + -628\/5. Suppose -x - 5*v = -26, -x = -6*x + 5*v - 20. Which is the nearest to j? (a) x (b) 12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 3. Let i(d) = -d + 14. Let n be i(o). Solve -5*w + n = c, w - 5*c - 4 = 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 1\/3*l**3 + 0 - 1\/120*l**6 + 1\/15*l**5 + 1\/8*l**4 + 0*l - l**2. Is s(4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13172 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.018 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 9132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-6)\/10 + -1. Let t = -2\/9 - 5\/18. Let s = 27.842 + -30.842. Which is the nearest to j? (a) s (b) t (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(9)\/sqrt(3) - (sqrt(3) - (sqrt(30) + sqrt(30)*3)\/sqrt(10)) - sqrt(30)\/(sqrt(10) + (sqrt(80)*1)\/sqrt(8)).\nAnswer: 11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k + 22. Let f(c) = -2*c + 7. Let r = -13129 - -13145. Determine r*f(t) - 5*d(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 78? (a) -0.5 (b) -14 (c) 0.4 (d) -60 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 3*j**2 + 67. What is l(0)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0*h - 2\/3*h**3 + 0*h**4 + 1\/120*h**6 - 16*h**2 + 0 + 1\/60*h**5. Determine a(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 22330.36 centimeters?\nAnswer: 0.2233036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeov when four letters picked without replacement from eovovvoo.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 2:29 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076955307 to the power of 1\/3, to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2376)\/(-1144)*-13*((-39)\/(-9))\/1\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + 6 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2607 a factor of 59989677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(-4)\/120 - 1\/6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 41589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 55782*y**2 + 725565*y + 2009556.\nAnswer: -3*(y - 18607)*(y + 4)*(y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -2.124.\nAnswer: -0.6372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4476737?\nAnswer: 1973, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/48*-39*-8. Let b = w - -31. Solve -b*i = -2*i + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/41 (b) 1\/4 (c) 39 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 0, -2*j = -93*m + 95*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -975, -3281, -7767, -15159, -26183?\nAnswer: -41565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096\/127 at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -5*v + 13, -18*t = -22*t - v + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + 2 + -15 + -4 + 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 17 = 4*n. Suppose 0 = -3*x + 72 - n. Suppose x*z - 14*z = 99. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12404471 by 12404471.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -821 less than -709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) 31 (b) 2\/17 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 1. Let n be ((-50)\/(-100))\/(54\/48) + (-546)\/8721*7. Are f and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 - 4*c**4 + 3*c**4 + (1 - 3 + 3)*(c**4 - 3*c**4 + 0*c**4))*(106 - 80 - 73) + (31*c**3 - 97 + 97)*(c + c + 0*c).\nAnswer: 344*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + -1111000111011100?\nAnswer: -1111000111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14*q + 342. Give m(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eggjuupeeppp. Give prob of sequence ju.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -743, -769, -933, -1343, -2107, -3333, -5129?\nAnswer: -7603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 801 and 11392?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1455923 is divided by 18908.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 112*w**3 + 336*w**2 + 0 + 2*w + 11*w**3 - 334*w**2 in the form u + d*w**3 + c*w + m*w**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/5)*k**(-3)*k)\/(k**5*k**(2\/7)*k)*((k*((k\/k**(-1\/4)*k)\/k)\/k)**(-20\/9))**(-1\/22) assuming k is positive.\nAnswer: k**(-52387\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) + (-17)\/(-2). Suppose -21 = -n*m - 21. Suppose m = 13*r - 2*r - 22. Let d(g) = -2*g + 1. What is d(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6377.3 - 6659. Let c = -282 - f. Let d = 10 - 1. What is the second smallest value in 1\/9, 1, d, c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3009 - 9026\/3. What is the second biggest value in 3\/7, 0.03, 1, g, -45?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2. Let b(n) = 32*n**2 + 4. Calculate b(i(l)).\nAnswer: 128*l**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - 0.7. Which is the third smallest value? (a) 5 (b) 3 (c) 1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1 - 8 - 8*i + i**2 - 9. Is d(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44 - -9c237?\nAnswer: 9c1e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.68991003 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2425*s**2 - 2*s + 4*s + 2566*s**2 - 2*s to m*s**2 + n*s + f and give m.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 478251698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -42, 2, 121 in increasing order.\nAnswer: -42, -4, 2, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y + 4*y - 460 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -321061 or -321047?\nAnswer: -321061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4183, 7468, 10743, 14002, 17239, 20448?\nAnswer: 23623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 659535\/11 - 59915. Let y = -2289\/4972 - 3522847\/84524. Let i = y + m. Is i less than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(sqrt(96) + -4*sqrt(96)))\/(sqrt(84)\/sqrt(7)*1*-3).\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5\/11 + 8*y**4 - 76*y**3 + 2152*y**2\/11 + 838*y\/11 - 2240\/11 = 0.\nAnswer: -1, 1, 5, 7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1.28105 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (435 - 418) + (-12 - (-1 + (-7 - -14))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 249 and 8418.\nAnswer: 698694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 481.49927 days?\nAnswer: 68.78561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7730, -7728, -7716, -7688, -7638, -7560, -7448?\nAnswer: -7296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/3 + (-7)\/(-21). Let l be (-6)\/3 - 1*b. Suppose l = 4*t - 3*t - 5. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 14\/9 (b) 14 (c) -12127 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -228\/13 in -1, 3\/2, -0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ala when three letters picked without replacement from {a: 2, l: 1, q: 2, u: 1, d: 1, w: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 - 4*v**2 + 2*v**2 - 14 in the form u*v**2 + w*v + l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 331, 1019, 2335, 4489, 7691, 12151, 18079?\nAnswer: 25685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 5*y**2 + 3*y + 6. Determine b(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 2454?\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -298332 + 458831. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 642*c**2 + 10 + 3 - 2*c**4 + 3*c - 640*c**2 as k*c**3 + t + l*c**2 + d*c**4 + z*c and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94121210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*d + d. Find the second derivative of 5 - 2*f**d - 4*f - 5 + 2*f wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 24\/221?\nAnswer: 24\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 1. Let z(m) = 10*m - 2*m - 4*m - m. Calculate -2*w(u) - 3*z(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4 - 2065*j**3 - 952*j**2 + 2*j + 1?\nAnswer: 24*j - 12390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -236.\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 5*o = 1590. Suppose -2*k + o = 4*k. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9fe0 (base 16) in base 13?\nAnswer: 15824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4054171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y. Let d(h) = 3*h - 4190 + 4190. Calculate d(z(m)).\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122858 divided by 15.\nAnswer: -122858\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9 (b) -14 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.023 - 70.977. Let h = u - -64. Let t = h + 10. Is t smaller than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 11 = -5*y, 0 = -3*y - w + 2 + 13. Suppose -j + 359 = -5*r, -2*r - 139 = -y*j - j. Let l = 145 + r. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-72)\/(-168) + (0 - 2\/(-28)). Let d = 2896\/9291 + 2\/489. Is d < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l - 5. Let g be w(9). Solve -18 = -2*b - 4*d - 2, -5*d = 3*b - g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -241706.\nAnswer: 725118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = j - 4*t, -14*t = 3*j - 16*t - 31. Let p be (7\/(-4))\/(1\/(-20)). Suppose -2*n = j - p. Calculate the remainder when 100 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**(-1\/4)))**3)**(-26)*(j*j**(1\/8)\/j*j*j**(1\/6))\/(j**0)**12 assuming j is positive.\nAnswer: j**(1435\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from haa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -11. Let w be 6 - (-4 + 15*1\/3). Suppose -4*r - 15622 - 17382 = w*h, -g*r = h + 6602. Round h to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14222 and 194732?\nAnswer: 2531516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2070806*i**2*k**3 + 2*i**2 - 14*i*k**3 + 2*i*k**2 - 10692*i*k + 2*i - k**3 wrt i?\nAnswer: -4141612*k**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*p**4 - 2*p**3 - 2*p**2 + 4*p - 25 + 33*p**4 + 20 to v + d*p**4 + y*p + l*p**3 + c*p**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/16)\/((-4)\/10774). Let r = 2715\/8 + p. Let i = 29521 + -177227\/6. Calculate the common denominator of r and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g. Let f be k(-1). Calculate the greatest common factor of 35 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5455580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i**3 - 2*i**2 - 32*i + 2. Let z(g) = 21*g**3 - 7*g**2 - 93*g + 7. Determine 14*o(l) - 4*z(l).\nAnswer: 14*l**3 - 76*l","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:05 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 - -132. Suppose v = -0*o - o + 2. Suppose -2*f = 2*f - 16. Is o at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t + t**2 + 14 - 14)*(2 - 1 + 1) in the form p*t + w + g*t**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b*g*y**4 - 3*b*g*y**2 + 95*b*y**3 - 7186*b - 7*g*y**3 wrt y?\nAnswer: -168*b*g*y + 570*b - 42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*3*sqrt(171)*6)\/(sqrt(72)\/(sqrt(8)*1 - sqrt(8) - sqrt(8) - sqrt(8)) + 4*sqrt(81)))**2.\nAnswer: 886464\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*z**2 + 6*z - 2553 with respect to z.\nAnswer: -188*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 44 = -15*k. Suppose 2 + 2 = g. Suppose 5*x - k*q = 37, 0 = -g*x + 3*x - q + 11. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.489216638 rounded to one decimal place?\nAnswer: 21.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/18 - (-4)\/6. Let x be -2 + r - (-4)\/4. Suppose 0 = -5*a - x*a + 15. Solve 0 = -i - 2*g + 5, a*i = -g + 4*g + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1578847 = -g - 615114, -g - 3*d + 963728 = 0. Let z = 236287 + g. Suppose 11*b - 7*b = z. What is b rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5275657, -10551322, -15827001, -21102694, -26378401, -31654122, -36929857?\nAnswer: -42205606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (0 + 4) - (-2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22 - 6)*(-2)\/4. Let j(t) = 0 + 5*t - 3*t - 7. Is j(y) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 695 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 505, 510, 525, 556, 609, 690?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(sqrt(72) + (sqrt(72)*2 - sqrt(72) - sqrt(72))))\/(sqrt(99)\/(sqrt(44)\/sqrt(4)))*2.\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**38\/r)*r)\/(((r**26*r)\/r*r)\/r) assuming r is positive.\nAnswer: r**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 3*r - 2*r + 3, 5*r = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18366, -36734, -55102, -73470?\n\"Answer: -18368*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3181968 is divided by 530324?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14695 - 91?\nAnswer: -14786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13df (base 16) in base 4?\nAnswer: 1033133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Let l(p) = 32*p**3 - 3*p + 3. Let c be l(1). Suppose -8*x + c = 4*o - 4*x, -2*o + 19 = 5*x. Solve b + 11 = -f + 5*m, -4*m = 3*f + o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4917 divided by -3.\nAnswer: -1639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21\/2, -2\/15, 2, 1 in increasing order.\nAnswer: -2\/15, 1, 2, 21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 3*z**2 - 6*z + 6. Let v be p(-5). Let b = 17 + v. Calculate the remainder when 9 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 287123 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/5*(-2328)\/28. Let v = -6352\/55 - f. Is 1 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 1200 = -18*q. Let z = q - 237. Solve 2*u = h + 2, -6*u + z*u - 4*h = -25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 45\/1424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6) + (96\/9 - 6). Put 8, k, -2 in decreasing order.\nAnswer: 8, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnsnxsfxnfrx. What is prob of sequence ns?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/21*(0 - 3). Let p(z) = 6*z**2. Let b be p(w). What is the highest common divisor of 18 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*w - 7*w - 3*n, n + 15 = 5*w. Is w*-998*(-7 + 216\/32) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73\/4 + -18. Let z = 8.4 + -8.9. Which is the nearest to 1? (a) u (b) -2\/9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k**2 + 14*k**2 - 11*k**2)*(-1 - 3 + 2)*(2 + 1 - 4).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/20 of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 7. Calculate r(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2202 divided by -2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n - 2. Determine l(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1318 - 6613\/5. Find the common denominator of 61\/45 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**3 - 52874 - 52847 + 105721.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3554794 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*f*q**3 + 3*b*f*q**2 + 5*b*f + 15*b*q + 44*f with respect to q.\nAnswer: -3*b*f*q**2 + 6*b*f*q + 15*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -295810000 rounded to the nearest one million?\nAnswer: -296000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, p: 2, x: 3, y: 2}. Give prob of sequence xpp.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -6.7\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vee when three letters picked without replacement from {l: 1, e: 2, q: 7, m: 2, v: 1, z: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**2. Let f(p) = 140*p**2 - p + 10159. Calculate f(g(l)).\nAnswer: 2240*l**4 + 4*l**2 + 10159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323672 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 2, -55403, -4, -8, 1 in descending order.\nAnswer: 5, 2, 1, -4, -5, -8, -55403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = 4*w + 2*u, -3*w - 3*u = 0. Find the common denominator of 17215\/1320 + 14\/w and 47\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2 + 4*c - 415. Let n(l) = 3*l**2 - 5*l + 417. Calculate 4*n(z) + 5*v(z).\nAnswer: -3*z**2 - 407","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 32*k**2 + k + 8. What is the hundreds digit of t(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6217 + -3724. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**3*o**2 + 21*n**3*o*w + 2*n**3 - 2*n**2*o**2 + 4*n*o**2*w - 85*n wrt w.\nAnswer: 21*n**3*o + 4*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from audaaau. Give prob of sequence adua.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, c: 5, b: 3, f: 4}. Give prob of picking 2 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 0*s - 2\/3*s**3 - 8*s**2 + 0 - 1\/4*s**4. Calculate the remainder when 39 is divided by r(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2751 + -298. Let m = 440 + d. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 398 + -398.969. What is b rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -245079, -490161, -735243, -980325?\n\"Answer: -245082*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -2) + (-7533179)\/(-24). Let m = u - 313731. Let g = m + -983\/6. Find the common denominator of -61\/5 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 9559703.543.\nAnswer: 9559697.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 990.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -2.8 (c) 2 (d) 52 (e) -0.1 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2305*y - 2307*y + 3*v, 0 = 8*y + 4*v - 60 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3 bigger than 1\/5670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 10:11 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 8*w**2 + 7*w - 3. Let b be o(-7). Let v(z) = 2*z**2 + 5*z + 2. Let a be v(b). Solve -4*f - a = -h, 5*h - 1 - 24 = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2973 + 25*s**4 + 206*s**4 - 30357*s + 30354*s wrt s.\nAnswer: 924*s**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2322 - 2321. Sort c, 0.1, -1\/7, 0.06 in decreasing order.\nAnswer: c, 0.1, 0.06, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -19 + 99980*(-24)\/(-60)?\nAnswer: 71, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zztym. What is prob of sequence zmyt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 48 + (0 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*i, -i - 38 = -3*w - 5*i. Suppose -3*m + 62 = w. Let u(o) = o**3 + o**2 - o + 46. Calculate the remainder when u(0) is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 546*p - 13680.\nAnswer: -3*(p - 152)*(p - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (3 - 5)) + -431. Let i be (p\/(-3))\/(2\/3). Suppose 0 = -5*n - 4*c + 544, -n + c = n - i. What is the highest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 divided by -1?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) - 1\/(-4). Is 5 - -404 - p\/(1 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0*x + 3*x - 4*x + 2*x - x**2. Let j be g(-1). List the prime factors of 45\/(-30) - 45\/j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6094 is divided by 591.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is e262 (base 16) in base 6?\nAnswer: 1124150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 - 6*g**2 + 17*g**3 + g + 5*g**4 - 79*g**3 + g**2 - g**2 to p*g**4 + x*g**3 + r*g + m + w*g**2 and give x.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/15 - 478040*k**2\/3 - 4780370*k\/3 - 11950900\/3.\nAnswer: -2*(k + 5)**2*(k + 1195090)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*x + 123*x - 2009220 = 0. What is the thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 190909*g. Let f(u) = -u**2. Give k(f(b)).\nAnswer: -190909*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1132231 + 141?\nAnswer: 1132422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4381 is divided by 365.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:10 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + 3 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-13 - -7)\/((-12)\/200)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5543328 and 9492.\nAnswer: 5543328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + -2 + 1 + 2. Let m be (0 - h) + 12\/(-60). Which is the third biggest value? (a) 1 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 655*s = 654*s + 36, -b - 2*s = -16 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)*h**(-8))**(-13)\/((h**(-3)\/h)\/h**(-2\/5))**(-3\/13) assuming h is positive.\nAnswer: h**(6368\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**4 - 2229*z**3 - 4467*z**2 - 2235*z = 0.\nAnswer: -1, 0, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.27 (b) 0.226 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44 or -474\/11?\nAnswer: -474\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 26 = -17*n. Suppose -q = -3*q. Let y(t) = t**2 + t. Let r be y(q). Put -3, n, r in ascending order.\nAnswer: -3, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 9 - (-3 + -4 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f. Let l(d) = d**2 + 3*d - 2. Let w be l(-4). Let g(k) = -3*k**2 + 3*k**2 + 2*k**w. Calculate i(g(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3177048056?\nAnswer: 2, 7, 13, 4364077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y. Suppose 0*b + 4 = -4*b. Let f(m) = m. Give b*t(r) + 3*f(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33305 is divided by 182.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-2) + 4\/(-8). Let z(u) = 74*u - 1. Is z(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Let x = 70 + -71. Let f(t) = -2*t - 1. Suppose -z - 4*l = -11, -z = -2*l - 0 + 7. Give x*f(g) + z*d(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-21))\/((-11370)\/1516)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -14 + 0*s**4 + 0*s**2 + 0*s - 16\/3*s**3 - 8\/5*s**5. Find the third derivative of q(h) wrt h.\nAnswer: -192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 + 1 + 6*z**3 - 4 - 2*z + 5 to the form y*z**3 + h + q*z**2 + v*z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d**3 - 2*d**2 + 7. Is z(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**2 + 19*y - 5. Let b be 11\/(66\/(-150))*5*3. Let x = 378 + b. Let t(g) = -2*g**2 + 10*g - 3. Determine x*j(s) - 5*t(s).\nAnswer: -2*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159.89 - -162. Let m = w - -0.89. Which is the closest to -10? (a) -1\/3 (b) m (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*a + 4*w - 135 = -973*a, -a = 3*w - 100 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - -2.03. Let a = 3.05 - 3.2. Let n = 0.15 + a. What is the third biggest value in b, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 137172 and 13916?\nAnswer: 960204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + (103\/17 - (5 - 6))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/6346, 3\/32, 0.1, -0.3.\nAnswer: -0.3, -3\/6346, 3\/32, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4294 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 18 - 30. Suppose -10 = -v + 5*r, -3*v - s*r = -v + 6. Solve v = 3*a - 6*a - 2*c + 9, -3*a = -2*c + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*l + 13*l - 1628 = 7*l - 1588, 0 = 2*j + 4*l - 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = -5*m + 5*r - 47, 0 = -2*m + 4*r + 20 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.382, 1, 1\/5, 13.2, 2, -5 in descending order.\nAnswer: 13.2, 2, 1, 1\/5, -5, -6.382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-12) + (-3)\/(-6) + 0. Let p be -5*2\/(-25)*(1 + 4). Solve -b - s + p = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two sevenths of a week in minutes?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 48.2. Let d = 221\/4 + -55. Which is smaller: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 47*z + 42. Is f(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/387 + 3106\/1935. Is s > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-10)\/(-44))\/(76077\/92983)\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85464 - 85441. Suppose -2*d + 0*d + 92 = 0. What is the greatest common factor of h and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*o + 36 = 274*o. Let t be 0*((3 - (-5)\/o) + -5). Factor -3\/2*s**2 - 1\/2*s + t - s**3.\nAnswer: -s*(s + 1)*(2*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3581.816 weeks?\nAnswer: 25072.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 350*c**3 + 122*c wrt c.\nAnswer: 2100*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + f**2 + 7 + 0*f**2 - 3. Let p be (-1)\/(2*(-3)\/162). Suppose 5*u = -5*z, 4*z - p = 4*u + u. Give g(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2896301 rounded to three dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94763262 and 68918736.\nAnswer: 758106096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 63, -0.3, 0.4 in ascending order.\nAnswer: -0.3, 0.4, 3\/2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8512 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/sqrt(3)*-3)\/(-2*sqrt(8)))**2 - (-2*sqrt(3267))\/(sqrt(45)\/(-1*sqrt(5))).\nAnswer: -22*sqrt(3) + 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -316826 + 2530979\/8. Let o = r + 453. Let w = o - -19\/56. Is w smaller than 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-43)\/(-84) + (10\/(-3) - -3) and -42\/11.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1815 - -1819. What is the third smallest value in -75, 2\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8 (base 16) in base 8?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l**2 - 524*l**3 + 3*l**4 - 10*l**2 + 252*l**3 to the form k*l**4 + v*l**3 + x*l**2 + j + r*l and give v.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:19 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/((-2)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8426 - 8*q - 6*q + 8428)*(2 - 4 - 3*q**2 + 1) to the form l + r*q**2 + h*q + d*q**3 and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - 2*y. Let t be c(-2). Let n = t - -15. Let m(i) = -i**3 + 8*i**2 - 7*i + 10. What is the tens digit of m(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-15)*10\/(-4). Let u = 3168\/5 - 634. Sort h, -5, u, -2.\nAnswer: -5, -2, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 579263 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21040953?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 + -74. Solve -5*m = -0*m + w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {r: 2, t: 1, b: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1818127, -3636254, -5454381?\n\"Answer: -1818127*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -13*z**3\/3 + 7*z**2 - 6. What is the second derivative of h(c) wrt c?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2146, -4431, -6844, -9391, -12078, -14911, -17896, -21039?\n\"Answer: -f**3 - 58*f**2 - 2104*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 231757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(80)*2*3 + -1*(-1*sqrt(605)*3)**2 + 1 + 0.\nAnswer: -5444 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*y - 7 - 8, -3*y + 5*w = 15. Let h be 22\/4 + y\/(-10). Let s = 20 - h. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(180\/78)*-5. Solve 4*z - f - 2 = -11, -3*f = 2*z - w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 23*k - 10)*(-2 - 2*k + 2) + (-2*k**2 - 3*k**2 + 2*k**2)*(-4 + 21 + 6).\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387284?\nAnswer: 2, 96821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2589 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 110928782 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 187*x**2 - 105166*x + 873. What is o(431)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a1a (base 12) to base 13.\nAnswer: 6c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 6a0b4?\nAnswer: -6a0b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**18*(i*i**(1\/4)\/i)**35*((i**1\/i)**(-40))**(-1\/8) assuming i is positive.\nAnswer: i**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6361 divided by 141?\nAnswer: -6361\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1482 and 101322.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j**4 + 591*j**3 - 204*j**2 - 396*j = 0. Calculate j.\nAnswer: -66, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.32909312 to 1 dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 - -1.8. Let y = -8.1 + u. Sort 5, -0.1, y in descending order.\nAnswer: 5, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 6:43 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in minutes?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 18*k + 67. Calculate v(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*q**2 + 40*q**2 + 885 - 883 - 2*q as u + c*q + j*q**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 94175 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u + 3*u)*((4 + 1 + 1)*(-2 - 1 + 1) - 5 + 1 - 1)*(0 - 2 + 0).\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 22. Let q(z) = -1000*z**2 - 22. Determine f(q(c)).\nAnswer: -2000*c**2 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (1 + sqrt(363) + 5) - (sqrt(363) + -2 + 5 + sqrt(363)) - ((-1 + sqrt(363) + sqrt(363))*1 + 4 + -1))**2.\nAnswer: 968*sqrt(3) + 5929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 11}. Give prob of sequence bbm.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12999 divided by 619\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 12. What is the units digit of x - (3 - 2 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 50 + 407 = -5*i, 4*p - 586 = 2*i. Suppose -2*t - 4*t = -p. Suppose 21*y + 12 = t*y. Solve -16 = -y*k - 0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:12 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 4*f**4\/3 - f**3\/6 - 3*f. Suppose -5*y + 4*y = -6. What is the remainder when k(1) is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -497, -1025, -1555, -2087, -2621, -3157, -3695?\nAnswer: -4235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-27\/5)*i\/(i\/i**(-6))*i)\/(i**(-20)\/(i*i**(-20)\/i*i)))**49 assuming i is positive.\nAnswer: i**(-2303\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.68358 + 1116.\nAnswer: 1140.68358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1975111*l**2*t*v + 54*l**2*v + 166*l*t*v - l*t + l*v - 16*l - t*v + 27*t + 11*v wrt l?\nAnswer: -3950222*t*v + 108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 - 1533*h**4 + 228252*h**3 - 7713492*h**2 - 43492080*h - 35548800 = 0. Calculate h.\nAnswer: -4, -1, 56, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -84, -152, -206, -246?\n\"Answer: 7*k**2 - 89*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1314 - 1334002121?\nAnswer: -1334003440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k + 254 = 968. Calculate the least common multiple of 444 and k.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1755*k + 742*k + 788*k. Let z(q) = q. Calculate n(z(r)).\nAnswer: -225*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3 + 15 = 2*c, 5*f = -5*c. What is the tens digit of (-7)\/7 + 5 + f + 846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -15. Let n = b + -6. Is 83 - (-4 + -2)\/n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/6 - 6*z. Let h(m) = -m. Determine h(i(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -821*q**3 - 1752*q**2 wrt q?\nAnswer: -4926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*o + 32*o - 75. Suppose 103 = 4*x + 3*l, o*x + 4*l = 40 + 88. Solve -4*s + x = -4*g, -3*s = -0*s + 3*g + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 11*c - 2*c**2 + 3*c**2 + 0*c**2 + 0*c**2 + 8. Let n be z(-8). Let q = n - -54. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -101. Solve 3*z = a - 12, -a - 8 = -4*a + i*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, 0.094, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 20*d + 1755. Calculate o(-88).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from mmmmmmmommomommmommm?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(57)\/sqrt(3)*-2)**2 + 3 + 1)*-2.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207*m - 295*m - 351*m to the form s*m + d and give s.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -323\/4 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2\/5)\/x)\/x)\/x)**(-1\/50))**(-11)\/((x**(-6)*x**5)\/(x**(1\/2))**(-44)) assuming x is positive.\nAnswer: x**(-5437\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -70*d**2 + 909*d + 38. Let s be k(13). Let c(l) be the first derivative of 27\/2*l**2 + s*l - 21. What is the first derivative of c(a) wrt a?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/7)\/g**(-11\/4))\/((g*g*(g**(-14)\/g)\/g*g)\/g**(-4)) assuming g is positive.\nAnswer: g**(317\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -12156 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t**(-5\/3)*t*t)*t)*t)\/(t\/(t*t**7)) assuming t is positive.\nAnswer: t**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2\/3, 309, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 2, h: 2, d: 1}. Give prob of sequence sd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = h - 0*t - 19, 2*t = -3*h + 37. Let d(k) = k**3 - 8*k**2 + 8*k + 2. Let i be d(7). Suppose 2*m - 19 = i. Is h less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, -252, -1164, -2940, -5868, -10236, -16332, -24444?\nAnswer: -34860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406546*j + 121 = 406535*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Let b = v - 3. Let r = b - -1. Solve r*m - 9 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 18 = 3*a. Let o(i) = i**3 + 8*i**2 + i + 13. Let n be o(a). Solve -k + n*f - 3*f - 5 = 0, k + 3*f = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21328373?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 762 - 541. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 120\/(-21) - (-4)\/14. Suppose -m = -4*g, 0*p - 35 = -5*p - 5*g. Which is the fourth smallest value? (a) p (b) 0.1 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -140600 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-341)\/930 + (-2)\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4994 + 5002. What is the greatest common factor of 158 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:04 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1457 = -7*m + 1429. Let s(k) be the third derivative of 7*k**4\/24 + 5*k**3\/2 + 2*k**2. Let u(a) = 6*a + 14. Calculate m*s(y) + 5*u(y).\nAnswer: 2*y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, -1\/998, -8\/11?\nAnswer: -1\/998","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.96 - 7. Let y = f + -0.06. Let w = -0.6 - y. Which is the second biggest value? (a) 0 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**3 + 13*v**2 + 13*v + 2. Let x(r) = 2*r**3 + 6*r**2 + 6*r + 1. Calculate -13*x(n) + 6*z(n).\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 83.7485 and 3?\nAnswer: 251.2455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*p = -m - 4, m - p - 8 = 0. Suppose -4*n - 2*a + 2 = -0*n, -2*a = 5*n - 5. Let i = 7 - n. Solve -i*k = -m*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -6851 - 4237. Let z = 695 - j. Solve 0 = -5*u - a + 12 - 4, -z*u + 2*a = -8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, o: 2, j: 6}. What is prob of sequence lol?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -333, -492, -651, -810, -969?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*v + 9838 = 8413 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12230 = -42*m + 11390 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l*r**3 - 87*l*r**2 - l*r + 62*l - 16163*r**2 + 311*r - 8 wrt r.\nAnswer: 6*l*r - 174*l - 32326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 769491, 769529, 769571, 769617?\n\"Answer: 2*u**2 + 32*u + 769457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -170 - -394. Suppose 0 = w + 3*w - j. Let l be (15\/(-12))\/((-2)\/w). What is l rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.056 - 45.056. Let x = 35.5597 + 9.447. Let t = b + x. Round t to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*i**2 + 2*i**3 + 108*i**2 - 178*i**2 - 5*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2625966 = 9*w - 877293. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3691753.\nAnswer: 2\/3691753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2089\/11 + 191. Calculate the common denominator of s and 14\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19307 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7.1. Which is the second biggest value? (a) 2\/15 (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*x = 8, -3*v = -v - 3*x - 3. Solve -w - v*z - 8 = 2, 4*w + 6 = 5*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 8 = 2*y, -n - 49 = 2*y - 42 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 4 - v**3 - 2 - v**2 + 9. Let h be u(-2). Solve h = -2*c + c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -334, -680, -1056, -1474, -1946, -2484, -3100?\n\"Answer: -2*k**3 - 3*k**2 - 323*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49708345 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3407449\/361794 + -3369061168423\/345803066994. Let w = -2\/12413 + t. Calculate the common denominator of 125\/6 and w.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 823701 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -24. Let g be (5\/(-3))\/(a + (-48)\/(-18)). Solve -g*z = 22 - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -38*r**2 + 678*r - 638. Calculate t(17).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 72, 112, 188, 312, 496, 752, 1092?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 64021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -557 and -5589.\nAnswer: 3113073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389569558?\nAnswer: 2, 7, 47, 181, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-12)*10\/40.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*k + 24 = -597*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-204)\/(-8))\/(4\/24). Let s = j + -79. Let m = s - 70. Solve 0 = 4*o - 5*o + m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 3*f + 39. Determine i(-12).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0*o - 4*o)*(-o**4 - 2*o**4 + 5*o**4) - 2*o + 3*o**5 + 2*o - 4*o**5 + 3*o**5 + 3*o**5 + 22*o**5 - 2*o**5 + 13*o**5.\nAnswer: 34*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-25))\/(((-17)\/(-3))\/((-370)\/(-222))).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 + 173. Let p be 8\/4*(-1 - 3). Let b be (-52)\/p*1*2. Calculate the highest common divisor of b and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 6*p**2 + 4*p - 1. Let q be w(-6). Let i = 11 - q. Calculate the greatest common divisor of 24 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 615 + -746 + 3 + 174.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 7. Let i be v(0). Let n = i + -5. Solve -n*g = -a - g + 4, -4*a + g = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 8) in base 7?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2294 + 67*w + 16*w**2 - 66*w - 5871.\nAnswer: 16*w**2 + w - 8165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**3 - 21 - 4*p**3 - 4*p**4 + 20 - p**2 + p + 3*p**2 + 6*p**3 in the form s*p**3 + x*p**4 + y + j*p**2 + d*p and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100934 is divided by 1100711?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7541717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (13 + -2 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b = -28*b - 16*b + 360 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8419 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Let g = -0.824 - -1.224. What is the third biggest value in g, a, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0*f**2 - 6*f**2)*(-1 + 1 - 2*f**2 + 55 - 55 - 3*f**2 + (f + f + 0*f)*(-2*f - f + 2*f)).\nAnswer: 35*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + 3*c**2 - c**2 + c**3 - c**2 to n*c**3 + o*c + v*c**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1735*-0.1.\nAnswer: -173.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -773 divided by -28094.\nAnswer: 773\/28094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17621 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 399276253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 57. Let j = d + -29.999997. What is j rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 377 (b) -2\/7 (c) 0.006 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/24*0)\/(3\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 29\/8, 18?\nAnswer: 29\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11339 - 50729 - 29698 + 3*w - 24279.\nAnswer: 3*w - 93367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from gtgggttgllgtttl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*d = d - 23, 3*d - 47 = -5*f. Suppose -f*t + t + 84 = 0. Solve 3*x + 27 = -5*p, x - 5*p + 3 = t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**11\/b**(-13) assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (578\/(69360\/180))\/(3*(-2)\/388)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -445524, -445527, -445530, -445533?\nAnswer: -445536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + 13*o**2 - 25*o - 68. Calculate the remainder when 395 is divided by n(-7).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.784613 centuries in decades?\nAnswer: 7.84613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79942 divided by -311?\nAnswer: -79942\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71765 and 374.\nAnswer: -26840110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 282 = 5*h. Differentiate 36 - 7 + 2 - 40*g + h wrt g.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12054 and 147404348.\nAnswer: 4018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9586*r + 106036. Calculate w(11).\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6*w = 432. Let j = 166 + w. Suppose c - 3*c = -6. Solve 4*x = x + 6, c*t + 5*x - j = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5) + -4 - (sqrt(720) + 0)**2) + -5 + sqrt(60)\/(sqrt(12)*3) + 2.\nAnswer: -728 + 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-15)\/(-159)) - -3. Let t = -43 - p. Solve 3*b = -4*u + t, 5*b - 1 = -4*u + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 40528464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 11*v**2 - 13*v - 2. Suppose 2*p - 8 = 0, 5*u - u + 20 = -5*p. Calculate the remainder when (-4)\/u + 2068\/55 is divided by o(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 48*h**2 - 7*h - 116. Calculate the remainder when j(-48) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*11 + -7 + 5. Let t = -101 + 1108\/11. What is the common denominator of v\/(-22) - (-8)\/16 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*-1*sqrt(2)*6 - (-1 + -2*sqrt(2) - (-2 + 0 + sqrt(2))**2).\nAnswer: -26*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 2650?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 494.777 + -495. What is b rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001110101100010110100 (base 2) to base 4\nAnswer: -101311202310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-1\/6)\/t)\/t)\/t)\/t*t**(-4)\/t)\/((t*t**4)\/t**(3\/10)) assuming t is positive.\nAnswer: t**(-208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7747.1 + 7747. Let v = 8 + -9. Which is the nearest to v? (a) 14 (b) -4\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22487807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**4\/12 - 11*t**3\/6 - 6*t**2 + 4*t. Calculate the remainder when q(-8) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(3 + 6*c**3 - 3).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4754 = -4*o - 2*q, -4*q - q = 4*o - 4769. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*a = 13, 0 = 3*j - 0*a - 2*a - 9. Let u be -1 + -1 - 456504\/j. Let h = -226506 - u. Round h to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 16 - 6 + 49 to the form u + s*k and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*i + 2664*i**3 + 15*i + 266 + 66*i - 2662*i**3.\nAnswer: 2*i**3 + 266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 16*d**2 + 17*d + 22. Let w be m(-17). Let x be 6\/30 + w\/(-10). Let c be ((0 - -2) + -3)*-1. Do c and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 4)*(1 + 0 - 2) + 3 - 1 - 1 + 1 + 3 - 5 + 3 + 35 - 5)*(-d**3 + d**3 + 5*d**3) - d**3 - 4*d**3 + 2*d**3.\nAnswer: 167*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*26*(-87)\/(-87).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1512.8321 to the nearest ten.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -260\/27 - -1901\/189. Which is the fourth biggest value? (a) 3 (b) -1 (c) w (d) 120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30653\/7137 + 7\/549. Which is the second biggest value? (a) 2\/13 (b) 0.03 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3 + 25468*h**2*p + h*p + 10*h + 2*p - 66 wrt h.\nAnswer: -6*h + 50936*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(32\/12)*6\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 1. Let l be w(-4). Suppose -1 = -r - l. What are the prime factors of r*3\/12*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/50*(-8075)\/(-665)\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 18*g**2 + 17*g + 4. Let y be o(-17). Suppose 3*l + 3*i - 36 = 0, 3*l - y*l + 5*i = 18. Sort -4, 5, l in increasing order.\nAnswer: -4, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*b + 45*b + 49*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -1, -3, 0.3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 7*z - 6. Suppose 2*s = -0*s + 10. Let n be h(s). Solve -n*b = -3*y + y - 4, -3*b = -5*y - 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**4\/12 - 85*m**3\/6 - 33*m**2 + 849*m. Find the first derivative of h(y) wrt y.\nAnswer: 2*y - 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 - 4*x**2 + x**2)*(0*x - x**2 + 0*x) + 286*x**3 - 240*x**3 - 46*x**3 - 950*x**4 - x.\nAnswer: -952*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 - 4*l - 3. Let k be r(-2). Let m(x) = -2*x**2 - 8*x + 4 - 15*x + 36*x - 15*x. Let f(o) = -4*o**2 - 5*o + 9. What is k*m(a) + 3*f(a)?\nAnswer: 2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-116)\/(-8))\/((-15)\/(-6) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -125, -143, -165, -191, -221, -255?\n\"Answer: -2*p**2 - 8*p - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:02 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a microsecond in nanoseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 + 4*q**2 - 5. Suppose -286 - 214 = -10*g. Suppose -9*n + 5 - g = 0. Let i(c) = -1 + 0 + 0*c**2 + c**2 + 0*c**2. What is n*i(v) + s(v)?\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 238195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 90389635 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 7*v**6\/120 - v**5\/60 + 7*v**4\/12 - v**2. Find the second derivative of n(h) wrt h.\nAnswer: 42*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5727 to two decimal places.\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*l = -92, -4*l - 3 + 11 = 0. Let o = 4 - h. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.005 - 3.995. Let n be 10\/56 - (-1)\/4. What is the third smallest value in i, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 52 = -2*q, -5*q - 173 = -3*n - 22. Let x = -24 + q. Let g = x - -86. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8191*u + 245340 = -269*u for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 836.3 + -828.3. Let q = 1.4 - 4.2. Let j = 3 + q. Which is the third smallest value? (a) 2\/19 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 13*s - 3. Let b(g) = 7*g - 2. Determine 6*a(v) - 11*b(v).\nAnswer: v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/180 and -143\/14431530?\nAnswer: 86589180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14627, 29634, 44641, 59648, 74655, 89662?\nAnswer: 104669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11724 and 42988?\nAnswer: 128964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1826\/(-360) - (-6)\/27 and ((-6)\/(-4))\/(36\/(-86)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -125, -127, -129, -131, -133?\n\"Answer: -2*k - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 93 = 15*p. Let s = -28 - p. Suppose -3*q - 4*r + 890 = -2*r, 0 = -5*q + s*r + 1496. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 6) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1046864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 163165421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0.19141741726?\nAnswer: -2.19141741726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*j**2 - 68*j + 36 = 0 for j.\nAnswer: -2, 18\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 4) to base 5.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24159, 96858, 218023, 387654, 605751, 872314, 1187343?\n\"Answer: 24233*i**2 - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -281, -292, -319, -368, -445, -556?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + -86. Solve b*k + 26 = -4*v, 3*k - v - v = -7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5943043 or -5943048?\nAnswer: -5943043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3439 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 4*c - 5*c)*(2 + 10 - 20).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 357\/35 + -6 - 2\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -37 + 200 + -66?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*u)*(2 - 5 + 2) - 116*u + 280*u - 101*u.\nAnswer: 61*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00306728 rounded to 5 decimal places?\nAnswer: 0.00307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3170 divided by 10\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:54 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*v**3 - 6*v**2 + 20*v**2 - 11*v**2 - 4*v**2 to r*v**2 + d + s*v**3 + a*v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 13087970.\nAnswer: 117791730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3963 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4231867l?\nAnswer: 423.1867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9922311 months?\nAnswer: 0.00082685925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1252 + j**3 - 2373 + 1135 - 3*j - 4*j**2 in the form z*j**3 + t + s*j + q*j**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12661915 by -12661915.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-270)\/(-51) - 5. Is 0 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1271, 1506, 1739, 1970, 2199, 2426?\n\"Answer: -x**2 + 238*x + 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2223124 (base 5) in base 6?\nAnswer: -501152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 10. Let d be j(10). Suppose 5*l - 373 - 257 = d. Suppose -5*k + l + 89 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 643941613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1142.6 to the nearest ten.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -111*o**2 + 7*o - 13. Is x(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 + 58877148078?\nAnswer: 58877148077.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 6125583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 19*t + 23. Let z be o(-20). Let g = 57923 - 27024. Suppose -z*y - 65101 = g. What is y rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 356126 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*u + 448. Suppose -2*b + 22 = -h, -4*b + 5*h = -0*h - u. Calculate the smallest common multiple of b and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*i + 23, 0*h + 7 = -i + h. What are the prime factors of 8\/((-40)\/(-225)) - (i - -1)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2413.84 - -2411.84. Suppose -5*h - 12 = 3. What is the smallest value in h, w, 1.7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 1. Let z(u) = 52*u - 1. Let t(d) = -2*n(d) - z(d). Calculate the remainder when t(-2) is divided by -4*((-116)\/(-16) + -7) - -26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23972 is divided by 11984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(900) + (-1*sqrt(900) - sqrt(900)) - sqrt(900))*-5)\/(6*3*sqrt(12) + sqrt(12) - (sqrt(12) - (sqrt(768) - (sqrt(768) + 3*sqrt(768))))).\nAnswer: 25*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + u = -30, -3*u + 5 = 2*h - 7. Let q = h + -4. Find the second derivative of -w - 2 + q + w**3 - 2*w wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:49 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103310 (base 5) in base 16?\nAnswer: -4b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 3*g**2 - 5*g + 1. Let n be 1 + (5 - 8) + 6. Let b(f) = -3 + 9*f + f**3 + 2 - 3*f + n*f**2 - 1. What is -3*b(j) - 4*c(j)?\nAnswer: j**3 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, b: 3, j: 3, c: 1, o: 2, h: 1}. Give prob of picking 1 h, 1 c, 1 b, and 1 j.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 283646299 to the power of 1\/2, to the nearest integer?\nAnswer: 16842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*k = -25394 + 2769 - 16781. What is the remainder when k is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoololl. Give prob of sequence xo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 - 90 = 3*p. What is the remainder when 2 + 4 + p\/(-2) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 1:33 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**3\/4 - 940*f**2 + 176720*f = 0.\nAnswer: 0, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 3*x + 12 = 6*a, 2*a = 5*x + 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -84*(12\/(-36) + (-5)\/(-6)). Let v = l - -44. What is the remainder when 12 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17650 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 23 = -3*u, -14 = 5*d - 400*u + 434*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.031 from 2443.\nAnswer: 2430.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*s**6 + 284*s**4 - 37*s**3 + 141*s**2 + 200*s + 2 wrt s.\nAnswer: -7800*s**3 + 6816*s - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o - o + 6*o + (2*o - 1 + 1)*(-4 + 1 + 2) + 2*o - 3*o - o)*(-2*o + 0*o - 7*o) as m*o**2 + s*o + x and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 7 = 5*f. Suppose 0 = -3*q - 5 + 17. Sort q, f, 2 in descending order.\nAnswer: q, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*j = -276, -3*a + 235 = 5*j - 595. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/63)\/((-20)\/15). Let x(c) be the third derivative of 0*c + 1\/3*c**3 + 1\/30*c**5 + n*c**4 + 7*c**2 + 0. Factor x(y).\nAnswer: 2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/5)\/(1\/5). Let p be (k - 2) + -4 + 37. Suppose 4*i - i - 30 = -3*z, -4*z + p = 5*i. Calculate the greatest common divisor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -550*l**3 + 45*l + 45. Let j(s) = 1916 + 1922 - 3836 + 2*s - 20*s**3 - 5*s**3. Calculate -2*b(t) + 45*j(t).\nAnswer: -25*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.09, 13, 5, -5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*b + 2*b + b**4 - 2*b wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -10 (b) 7 (c) -1\/6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1275832 and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 m when three letters picked without replacement from wmmrwwwmmwm.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*u**3 + 54*u**3 + 17*u**3 - 22*u**2 wrt u?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243405524 and 544.\nAnswer: 1947244192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -7*j**6\/6 - 21*j**5\/5 + 633*j**2\/2 + 1036. What is the second derivative of q(y) wrt y?\nAnswer: -140*y**3 - 252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5274.5 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 5*b**2 - 3*b + 2. Suppose 3*g + 4*m - 25 = 0, 1 + 3 = m. Calculate j(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 333557403.\nAnswer: -1\/111185801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**7\/1785 - w**6\/170 - 3*w**5\/170 - w**4\/51 - 3*w**2. Factor o(b).\nAnswer: -2*b*(b + 1)**2*(b + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*c + 4. Let m(w) = w**3 + 3*w**2 - 2*w - 4. Let g be m(-3). Let q(o) = 3*o**3 + o**g - 2*o**3 + 0*o**2. Give q(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -425.448 * -5.\nAnswer: 2127.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(11) - (sqrt(176)*-1 + sqrt(176))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. Solve -5*a + o = -3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.078069 - 29.780166\nAnswer: -29.858235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 27, -3, 3 in increasing order.\nAnswer: -3, 3, 27, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13 - 5.87. Let o = -5.7 - l. Let m = 2 - 4. Which is the closest to m? (a) -4 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3700 or -27819?\nAnswer: -27819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1301, 4654, 10223, 17990, 27937, 40046?\nAnswer: 54299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from yzmyzyzyozmyyly?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*n - 21190 - 3068, -4*a + 24260 = 4*n. Suppose -4*r = 3*w + 2180 - a, 0 = r + w - 972. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -538\/101 at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 108\/26 - 2\/13. Let c(z) = z**3 + 4*z**2 + 2*z + 2. Let n be c(-3). Is n greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 - (20 + -9))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56049 - -84526. Let d = -41277 + h. What is d rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 764962.6nm?\nAnswer: 0.07649626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 46*k - 46*k + 1 + 8*k**2 - 2. Let h(r) = 5*r**2 + 4*r**2 + 6*r**2 - 2. Suppose 21*c - 6 = 20*c. What is c*h(d) - 11*j(d)?\nAnswer: 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 + 28*b**3 - 4*b**2 - 28*b.\nAnswer: 4*b*(b - 1)*(b + 1)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 - 108. Find the common denominator of -4 + (314\/12 - d) and 213\/6*(-1)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117254816 divided by 14.\nAnswer: 8375344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 0 - 1\/130*n**5 - 1\/39*n**4 + 2\/13*n**2 + 1\/39*n**3 + 3*n. Factor g(j).\nAnswer: -2*(j - 1)*(j + 1)*(j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 136 = -5*j - 152, 0 = 2*j - 4*x + 118. Let r be (7\/(-5) - -1)\/(j\/15). What is the nearest to -1 in r, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 8. Let n be p(8). Let z = n + -3. Suppose z*r = -7 + 2. Let b(q) = 7*q**3 - 2*q**2 - q. Give b(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 + 30*k**2 + 35*k - 47. Give m(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87544?\nAnswer: 2, 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 2 - 1)*(88*a - 1 + 1 + 318*a).\nAnswer: 4060*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*n**5 - 4*n**4 - 26*n**3 + n**2 + 24*n + 9 = 0. Calculate n.\nAnswer: -1, -1\/2, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6652*a**3 - 5*a - 20. Let h(u) = 46563*u**3 - 36*u - 144. Calculate -36*d(y) + 5*h(y).\nAnswer: -6657*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 18 = -2. Let s be 735\/98 - (-88)\/(-16). Solve -r = a*r + s*f + 5, 4*f = -3*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26505?\nAnswer: 3, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 - -2)\/((-1)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 134892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -49*v**4\/16 - 21*v**3\/2 - 15*v**2\/2 - 2*v + 2. Suppose r(o) = 0. Calculate o.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29944.50024 - -29946. Let f = 1.5 - t. Round f to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**3 - 83*q - 496*q**3 + 53*q + 92*q**3 + 30*q.\nAnswer: -413*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 3*u - 15 = 0. Let h = 6 + u. Let p = h + 0. Which is smaller: p or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 5*q - 4. Let b be j(-3). Let w = -11 + 6. Let x = w + 8. Solve x*s - 12 = -5*v, -b*s - 8 = -2*v - 0*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6639 is divided by 946?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 3*y - 11 + 24, -y + 9 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (2 - 20)\/6. Sort 118, 2, 4, l.\nAnswer: l, 2, 4, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b5343 + 14?\nAnswer: 4b5357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 27*w + 112. Let q be o(-5). Calculate the remainder when 493 is divided by q\/(-4) + (-504)\/(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 12. Solve -t + p = t + 12, -3*t - 3*p = c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3. Let l(r) = -2 - 611*r**3 + 0*r + r**2 - 485*r**3 - 2*r. Is l(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 4*s**2 + 3*s + 10. What is the hundreds digit of q(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*110.5.\nAnswer: -33.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802*1*55\/110.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5663 = -152*g + 10843 + 19974. Calculate the smallest common multiple of 492 and g.\nAnswer: 9840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30033332 to the nearest integer?\nAnswer: 5480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12 - ((-4)\/60 + 0)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbb when three letters picked without replacement from {b: 5, m: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 + -84.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*s - 10236905 = 465*s - 24949430. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 a, and 1 k when three letters picked without replacement from knbnkan?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 10:58 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + -19?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -384 + 2685\/7. Suppose -3*x - 4*d = d + 13, -2*d = -4*x. Put x, w, -4.7 in descending order.\nAnswer: w, x, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68755 is divided by 7260?\nAnswer: 3415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*d - 32, -5*d + 5 = -5*c - d. Let a(l) = 721833*l**2 - 3671831*l**2 + 0*l + c*l - 2. Let m be a(-2). Round m to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -738.49 - -745. Let m = 6.01 - j. Which is the fourth smallest value? (a) 2\/11 (b) -1 (c) m (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o - 9 = -5*b, -3*b = 3*o - 27. Let f be 1*(-3)\/36*0. Suppose 3*y = 5*k + 2, -2*k - 12 = -y - 3*y. Solve -k*h - h + o = f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*1\/8*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 16 + 5 = 0. Solve l = 2*l - v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 61*i + 64*i + 23 = 0, 5*i = u - 29 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 5:36 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 4*g + 9. Let h be q(-6). Sort 11, 4, h in descending order.\nAnswer: 11, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53096.\nAnswer: 2, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 5 + -2 + -5 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2151680 and 3544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 5830\nAnswer: -1\/5830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3207, -6386, -9567, -12750, -15935?\n\"Answer: -m**2 - 3176*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39356?\nAnswer: 2, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/(w*w**(1\/3)))*w)**(2\/83)*(w**(4\/7)\/w)**(-39))**(-2\/45))**25 assuming w is positive.\nAnswer: w**(-291890\/15687)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/4304 and -27\/131272?\nAnswer: 262544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-200)\/30)\/(-5))\/((-4)\/(-54)). What is the highest common divisor of 486 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-50)\/((t\/((t*t**(-1))\/t*t))\/(t\/(t*t**(-2)))) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/233181 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -40. Suppose 3*k - 9*k + 30 = p. Suppose 6*z = 3*t + 5*z - 10, 3*t - 8 = 2*z. Solve -t*d = 2*q - 10, -2*q + k*q - 3 = -3*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 7*r**2 + 5*r - 4. Let y be ((-2400)\/(-35))\/(-10) + (-2)\/14. Calculate h(y).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j + 39. Let r be v(-4). Let n be 4*r\/20 + 0. Solve -5*q + 3*q = 5*m + 23, 4*m = n*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 d, and 1 f when three letters picked without replacement from fmfdtfmtf.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -661, -759, -857, -955?\n\"Answer: -98*q - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -2*x**2 - 3*x + 1. Let s be f(-2). Suppose -s*o - 6*z + z = 0, 3*o + 10 = 2*z. Let y(d) = -d + 2. Calculate y(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 39*o. Let y(m) = 17*m - 6. Let t(q) = -12*q - 4*q - 2 + 7. Let v(r) = 6*t(r) + 5*y(r). Let n be (0 + 2)*(11 - 2). Calculate n*v(l) + 5*i(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 5 - 2)*(-2 + 1 + 2 + 2*h).\nAnswer: -94*h - 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2892921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/1 + -1)*-1. Let c = -2 + -6. Let t = b - c. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.4 - 34. Let j = m + 2.65. Suppose 14*c = 18*c + 20. Sort j, c, -1\/4 in increasing order.\nAnswer: c, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.001 - 0.861. Let j = n - 0.04. Let d = j - 0.1. Which is the biggest value? (a) -4 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n - 4. Determine r(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 29*j**2 + 50*j + 1478. Calculate b(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 2610 = -0*a. Suppose 0 = -3*r + 5*v + a, r - v - 435 = -4*r. Let p = r + -15. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (411 - 411 - 10*m**2)*(m + 3*m - 2*m) + (2*m - 2*m - 2*m)*(-m**2 + 4*m**2 + m**2) - 4*m**3 + 0*m**3 + 3*m**3.\nAnswer: -29*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**6\/80 + 7*f**5\/40 + 11*f**4\/16 + 5*f**3\/4 + 4*f**2 + 4*f + 69. Let z(v) be the second derivative of s(v). Factor z(w).\nAnswer: 3*(w + 1)**2*(w + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0261 and -0.1.\nAnswer: 0.00261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13682049 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713544 + 25*i**2 - 356775 - 356769 - 10*i**2.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let q(v) = v**2 + 1. Let g be q(0). Let h(c) = -9*c + g + 10*c - 1. Determine h(r(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -64, -3, 2, -2 in decreasing order.\nAnswer: 89, 2, -2, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -5. Let p(o) = -o**2 + 6*o + 4. Let x be p(7). Let g be ((-4)\/(-3))\/(2\/x). Put g, i, -3 in ascending order.\nAnswer: i, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 15884.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaahahaaaaaaaah. What is prob of sequence aahh?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202981084?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 8*p + 89. Let q be s(-8). Suppose 3*w + 5*h - 295 = 0, -4*h + q = w - 7. Calculate the greatest common factor of 75 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 1)*(-3)\/(-30). Let v be (-378)\/8 - (-19)\/76. Let d = v - -47. Is b equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5*3030\/(-909).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/817 - 1608\/10621. Sort -2, d, 1\/7, -8 in increasing order.\nAnswer: -8, -2, d, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-65)\/39 - 51\/(-9). Find the third derivative of -72 + 2*n**6 - 61 - 2*n**w - n**2 + 5*n**4 wrt n.\nAnswer: 240*n**3 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from {y: 6, c: 1, w: 1, x: 3, q: 1, h: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 23 and -16707602801.\nAnswer: -16707602778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 5*d**3 + 13.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/3239000 and 67\/6560?\nAnswer: 12956000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8207019 and 786.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16932990 by -59414.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 23?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16129750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 186037338799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**4*t))\/t)**45\/(t**(-17)\/(t\/t**(1\/7))) assuming t is positive.\nAnswer: t**(-1450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*h*o**4 - 4*h*o**3 - 112*h*o**2 + 2*h - 5*o**4 - 8*o**2 wrt o?\nAnswer: -1080*h*o - 24*h - 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*x**3 + 136*x - 402*x + 133*x + 133*x.\nAnswer: 41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-2 - -1)*-2). Suppose x = 2 - l. Let q be -2*((-5)\/x + 0). Solve 0 = k - 5*g + 11, -2*g + q = -1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*y + 736 = 3*y, 3*f - 5*y = 751. Let z be (-36)\/(-15)*16515\/1468 + -5. What is the highest common factor of f and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*i = -3886 - 4111 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/84963 and 16\/69?\nAnswer: 1954149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and -391.23083400524?\nAnswer: 391.19083400524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-4) + 2\/8. Let g be (-4)\/h + (0 - -6). Find the third derivative of -3*n**2 + 2*n**4 + n**g - n**4 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j. Let k(l) = -2*l**2 + 3*l - 14. Let h(f) = 9*f**2 + 37*f - 50. Let s be h(1). Determine s*w(o) - k(o).\nAnswer: 2*o**2 + o + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -62, -74, -72, -56, -26?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 4. Let p(b) = -3 - b**2 + 2 + r. Let t(v) = -4*v**2 - 2*v**2 + 3*v**2. Give t(p(o)).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-8))\/s**4*(s**(3\/5)\/s)\/(s**(1\/5)\/s*s) assuming s is positive.\nAnswer: s**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -16*q + 7. What is d(-5)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94115?\nAnswer: 5, 7, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - ((-8)\/(-4) + -7). Suppose 0 = 4*w - 20 - 28. Suppose -2*o - 2*o + 24 = 0. Solve -o*z = -i*z - w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61730937?\nAnswer: 3, 29, 78839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15382 (base 15) to base 10\nAnswer: -68297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 5*d**2 + 8*d - 8. Let x be s(6). Calculate the greatest common factor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 852, 1262?\nAnswer: 1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*j**2 + 56315*j.\nAnswer: 5*j*(17*j + 11263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(0 - (-1 + 2)). Suppose -v = p*v + 5*u - 16, 2*u - 2 = v. Is v + -1 - 8*-4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 - 6*k**2 - 5*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krnbbffnbnbbfbs. Give prob of picking 1 b and 3 f.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 7) to base 10.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192289.\nAnswer: 37, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (611\/94)\/((-7)\/28)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*1 + sqrt(17))*6*1.\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -2415 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16281411023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 478933 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -42213?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.219, 2\/17, -4, 1\/3 in descending order.\nAnswer: 1\/3, 0.219, 2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*t + t, 2*l + 146 = 2*t. Let a be l\/(-20) + (-6)\/8. Suppose -8*n + a*n = 5, 3*s - 34 = 4*n. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -18 - 10*b + 8 + 11. List the prime factors of q(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(84\/606))\/(-3). Does -34 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1781, 1777, 1771, 1763, 1753, 1741?\n\"Answer: -x**2 - x + 1783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8658 and 1872.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqlqqlaqiaaqaqaaaa. What is prob of picking 1 l, 2 a, and 1 q?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 39, 1, -29\/539, 0.3?\nAnswer: -29\/539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x + 2684 = -i, 4476 = 5*x - i. Solve -4*u**4 - 70*u + 85*u**3 - x*u - 664*u**2 + 27*u**3 - 714*u - 900 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2763 + -2763. Let p = -4 - 0. What is the biggest value in 10, u, p?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 31. Let r be h(-9). Sort r, -5, 2 in increasing order.\nAnswer: -5, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -9. Let w be -2 + r - 12\/(-3). Suppose 0 = 3*i + w*q - 3894, 0 = -4*i + q + 1637 + 3565. Round i to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770936 (base 13) in base 12?\nAnswer: b30828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1, -0.5, -9, 0.4, -11\/5, 1475?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-6*(sqrt(128)*-2)**2 - (sqrt(128) - (2 + sqrt(128))**2 - sqrt(128))*3) + (2 + sqrt(128) + -1)**2 + (sqrt(128) - (1 + sqrt(128) + -4)**2)).\nAnswer: -672*sqrt(2) + 10736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*y + 0 - y)*((4 + 1 + 1)*(-3*y + 2*y + 2*y) + (2 - 2 - y)*(-1 + 1 + 2) + 0*y + y - 3*y - 1 + y + 1 + (50*y + 58*y - 26*y)*(0 + 0 + 2)).\nAnswer: 167*y**2 - 167*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 11*h - 265 = -16*h, 3*h + 233 = 5*c. Is 19 a factor of (17032\/(-7))\/(-2) + (-28)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-37)\/r*r\/r**(-8\/3))**(5\/13) assuming r is positive.\nAnswer: r**(-515\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2445 + 2468. Solve 0 = -25*d + h*d - 2*p - 16, -4*d + 3*p + 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 + 22*p - 14. Let a be l(6). Suppose -3*v + 2*z = -6 - 5, 2*v - 2*z = a. Let h be -1*(v + 0) + -3. Sort -18, h, -5, 4 in ascending order.\nAnswer: -18, -5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -5, 1\/2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*d + 14 = 0, 14 + 15 = -5*w - 2*d. Let m be (-5)\/(-1)*(-3)\/w. Suppose 3*t + m*q - 34 + 10 = 0, 0 = -3*t - q + 26. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11807493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*(-15 - 13277\/(-833)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c*n**2*s*u + 258*c*n**2*s + c*n - 8*c*s + 6*c*u - n**2*s*u - 2*s*u + 7*s wrt n?\nAnswer: -8*c*s*u + 516*c*s - 2*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12.1 (b) 0.2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -664 + 256 - 376 - y + 2813 - 450 to l*y + z and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/(q**8*q))\/(q**0)**(-46) assuming q is positive.\nAnswer: q**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 627, 1199, 1773, 2349, 2927, 3507, 4089?\nAnswer: 4673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**8\/560 - w**5\/30 - w**3\/2 + 3*w**2. Let c(o) be the first derivative of s(o). Find the second derivative of c(r) wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/((h\/((h*h**(-8)*h)\/h*h))\/h)))\/(h**(-3\/2)\/h*h*h))**(-10) assuming h is positive.\nAnswer: h**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 4*j - 2. Let v be c(4). Suppose 32*f = 25*f + 1120. Let q = v + f. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23293319*h*i**3 - 562233*h*i**2 + 3 wrt i.\nAnswer: -139759914*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(57) + sqrt(57))\/sqrt(3) - (sqrt(171) + 2*sqrt(171))\/sqrt(9)) + ((-4 + sqrt(19)*2)**2 - (2*sqrt(209))\/sqrt(11)))*-2.\nAnswer: -184 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-5))\/((-6)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 314\/5 - 8\/(-40). Calculate the common denominator of 121\/10 and (l\/(-6))\/((-6)\/9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 290 + 1634 = 0. Calculate the remainder when 1343 is divided by a.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21798? (a) -0.2 (b) -0.3 (c) 1\/51 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -675*q - 883. Let r(w) = -18*w + 1. Let s(g) = 2*r(g) + t(g). Differentiate s(n) wrt n.\nAnswer: -711","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39247869*m*n**3 - 2*m*n**2 + 14*m*n + 4*m + 7*n**4 - 153*n**2 + n - 116 wrt n.\nAnswer: 235487214*m + 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8*n = 24. What is the greatest common divisor of n and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**7\/840 + i**6\/120 + i**5\/10 + 4*i**2. Let m(g) be the third derivative of r(g). Find the first derivative of m(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 16. Let r be n(-12). Let h = 71 + -83. Put 2, h, r in ascending order.\nAnswer: h, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 + 7*c - 21. Let w(p) = 7*p**2 - 12*p + 42. Let h(u) = 5*o(u) + 2*w(u). Let f be h(3). What is the smallest value in f, -21, 2\/19?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1428 divided by 238?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:44 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -15. Suppose f - 8 = 2*s, -c*f = 4*s - 3*f + 16. What are the prime factors of s\/((-8)\/133) - 1\/2?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 + 3 = -5*b, 0 = 3*k + b + 1. Suppose k = -u - 3 + 5. Solve 0 = u*w + 10, w = 2*j - 0 - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 76 (b) -2\/3 (c) 4 (d) 1\/6 (e) 0.1 (f) -0.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 15) to base 7\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Suppose -p + 5 = -q*p, 5*m - 5*p - 1375 = 0. Let z be 104\/39*990\/88. Calculate the highest common factor of z and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -19.9. Let v = 1.5 - -0.5. Let h = -4 + v. Which is the nearest to x? (a) h (b) 3\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = -4. Suppose -96 = -2*u - a*u. Calculate the highest common divisor of 24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -b28403?\nAnswer: -b28405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10012002000201 (base 3) in base 2?\nAnswer: -110011101101000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/4 - 14*i**3\/3 - i**2\/2 - 25*i + 87. Find the second derivative of b(a) wrt a.\nAnswer: -6*a - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 7*v + 7. Suppose -450 = -13*j - 2*j. Suppose 5*t = 5*w - 20, 0*w - 4*w + j = 3*t. Calculate y(w).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472*a**2 - 528*a**2 - 83*a**2.\nAnswer: -1083*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -25241364 and -25241361 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -393021?\nAnswer: -393024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.4 - 14.415. Round k to 0 decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 40 = -3*n - 2*n, 0 = n - 4*x + 15. Is 25 a factor of 754\/10 - 2\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 13*n - 7. Suppose 2*a + 2*j = -32, a + 482*j - 478*j = -40. Let l(w) = w**2 - 20*w + 11. Calculate a*z(g) - 5*l(g).\nAnswer: 3*g**2 - 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*n + 40864, -4*y + 15*n + 54508 = 18*n. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - 7*x + 2 - 2 in the form n*x + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (124\/(-93))\/((-2)\/3). Solve 4*h + 24 = 4*n, -2*h + 2 = w*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*t - 0 - 22 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3195, 3150, 3095, 3030?\nAnswer: 2955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.5 + -0.5. Sort -4, r, 1, 3\/7.\nAnswer: -4, 3\/7, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**6\/24 + o**5\/4 + 15*o**4\/8 + 25*o**3\/6 - 15*o**2\/2 + 37. Let l(y) be the second derivative of g(y). Factor l(n).\nAnswer: -5*(n - 5)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + r + 5, -9 = 5*f - 3*r + 7*r. Let s = -3 + -1. Sort -1\/4, f, s in decreasing order.\nAnswer: -1\/4, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.13 + -20. Let v = q - -0.77. Let s = -0.07 + 3.07. Which is the second biggest value? (a) s (b) v (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/110 and 16\/16381541?\nAnswer: 163815410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1364684 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 518178 and 938?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7914991?\nAnswer: 7, 701, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Suppose 2*h - 4 = -d. Suppose -h*a + 5*a - 39 = 0. What is the greatest common divisor of a and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11982207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3428406 by 21163.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 44 (b) 1\/2 (c) -0.1 (d) 809 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -785642, -785566, -785342, -784892, -784138, -783002?\nAnswer: -781406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4953, -19888, -44811, -79722, -124621, -179508?\n\"Answer: -4994*w**2 + 47*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2562 + -2559. What is the nearest to 0 in -0.9, h, 2\/67, 5?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:43 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*r - 3*r. Let o = -4 + r. Factor -2*b**o + 3*b**2 + 4*b - 5*b**2 - 4*b**3 + 4*b**4.\nAnswer: 4*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/5, 656, -141101.\nAnswer: -141101, -2\/5, 3, 656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186725\/6 - -31121. Let i = -0.2 - -0.3. Which is the third smallest value? (a) 2\/7 (b) x (c) -0.3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 78*j - 1558 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f + 3*f + 4*f. Let q(z) = -z - 2. Let r(n) = -3*n - 5. Let d(h) = -5*q(h) + 2*r(h). Determine a(d(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.689544191 to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:34 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3695 and 135976.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 545954614 - 0.15\nAnswer: 545954613.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 5 = 29. Solve -s - t*s - 25 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12693701 - -32175\nAnswer: -12661526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 454*l - 18705. Give z(41).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 130 + 2936*p**3 + 3361*p**3.\nAnswer: 6297*p**3 + 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-4) + (-15 - 17). Let r be (30\/a)\/((-12)\/30). Solve r*s = -4*s - 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, -4, -0.1, -6\/35, -1294, -0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-165)*(-19)\/76\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 3*z + (-2 + 0 + 0)*(5 + 2*z - 5))*(7 - 7 + 3*z) to g*z + n*z**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(192) - 3*(1 + sqrt(75)))**2.\nAnswer: -54*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -50*a + 89. Calculate c(4).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -75*o**3 - 4*o**2 - 2*o - 1. Let k be a(-1). Is (207\/4)\/(9\/k) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146154?\nAnswer: 2, 3, 24359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01549413 rounded to five decimal places?\nAnswer: 0.01549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 34. Let k = l + -12. Solve k*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*w - 5 = 0, -5*k + 2*w + 10 = 12. Suppose 0 = 2*r + 5*g - 27, 0*r + 29 = 4*r + 5*g. Sort r, 12, k in increasing order.\nAnswer: k, r, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 220\/16 + 0 + 45\/180. Solve 25 = -b*d + 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/(-3))\/(2\/(-3)). Let d be 2 - ((m - 2) + -2). Let b be 2*(-1 + (2 - d)). Solve -b*t - 3*v + 11 = -6*v, 4*t - 26 = -2*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.99 - -0.01. Let f = p + -10.7. Let g = f + 0.4. Which is the third biggest value? (a) g (b) -4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 + 1. Let b(v) = 13*v**2 - 4. Suppose 0 = 2*y + y + 6, 4*y = -4*a - 44. Let g be -6 - -8 - 4 - (-1 - -1). Calculate a*d(z) + g*b(z).\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 483 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/6 + 13\/6. Let h = 401 - 402. What is the nearest to t in -8, h, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*a = 469, -3*j + 1781 = j + a. Suppose v = -5*d + 431, 5*d - 4*v - 7 = j. What are the prime factors of d?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89112 + 89111.6. Let p be ((-6)\/15)\/((-12)\/10). What is the nearest to p in 2\/13, f, 30?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, y: 3, d: 2}. What is prob of sequence iy?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v - 204. Let p = v + 39. What is the units digit of p\/(-32) - 2644\/(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.05947209 rounded to 4 decimal places?\nAnswer: 1.0595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 6*r + 1. Let k be l(-4). Suppose -k = c - 4*c. Suppose 2*d - c*s - 77 = -3*d, 4*d + 4*s = 36. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40301 * -59.\nAnswer: -2377759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -22 + 12 - (0 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137 - 140. Let g = 6 + -5.6. Let o = 0.01 - 0.31. Which is the closest to f? (a) o (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*j + j + 192, -2*g - 96 = -3*j. Suppose -581 - 859 = 20*x. Let u = g - x. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42*q**4 + q**2*u - 60*q + 19*u + 4 wrt q?\nAnswer: 168*q**3 + 2*q*u - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 2. Let j be b(1). Let m = -5 - j. Let l be (-2 - 0) + 79992\/m. Round l to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r)**(1\/7))**(-1\/12)\/((r**(-1\/6)*r)\/(r*r*r*r**(-7))*(r\/(r\/r**(-1)))**(6\/23)) assuming r is positive.\nAnswer: r**(-631\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(72)*1*5)**2 + -1 + sqrt(162) + (-3 + sqrt(32))**2 + ((sqrt(128)*1)**2*2 + sqrt(128) - sqrt(128)).\nAnswer: -15*sqrt(2) + 7493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {l: 2, s: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 465.2 + -76.2. Which is smaller: 13 or n?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.249 - 0.251. Which is the second biggest value? (a) p (b) -4 (c) -2\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + n**2 + n - 1. Let h(q) = 4*q**3 + 2*q**2 + 3*q - 5. Let y(m) = -3*a(m) + h(m). Calculate y(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16364140*0.5.\nAnswer: 8182070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2 + 13 - 79*t + 76*t - 7. Let d(f) = -f**2 - 8*f - 4. Let l be d(-7). What is c(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0216 - -3.0216. What is the fourth biggest value in -1\/5, 4\/9, 0.1, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23997515 = -v - 18485132. Suppose -72482657 = -k - 6*w + 4*w, 4*k - 2*w = 289930578. Let f = v + k. What is f rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/80 - (-1 - 6991\/(-40)). Let k = 174 + m. Is k at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17920510 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 395283 = -46*j - 462945. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38807 and 754552.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1257199*j**3 - 667888*j**2 wrt j?\nAnswer: -7543194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 17*f + 10 = -3*u + 19*f, -5*u + 114 = 43*f - 7*f for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150536960 and 10080.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1629439*l**2 + l + 7698?\nAnswer: -3258878*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*w + 26, -t - 4*t + w - 27 = 0. Let u = 3 - t. What is the least common multiple of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -41*r**2 - 151*r + 566. What is g(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101122 (base 3) in base 11?\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 3, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 829434*s + 18246096.\nAnswer: 3*(s + 22)*(s + 276456)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 54 = 10. Calculate the remainder when 28 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from {b: 2, d: 1, h: 5, q: 2, k: 6, z: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138969 + -12507067\/90. Let d = 4\/45 - m. Calculate the common denominator of d and -47\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1724567393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2750 - 2741. Solve w = 5*a - 2*k, 4 = -5*a - 5*k - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 5*c + 3. Let r be y(5). What is the second derivative of 1 + 0 + 4*w + 6*w**r - 1 wrt w?\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 109?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 959455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, t: 2, m: 4, c: 1, a: 2, l: 2}. Give prob of picking 1 a, 1 l, and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 d when four letters picked without replacement from {d: 1, r: 1, e: 10, x: 3, j: 5}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71245, -71535, -71825, -72115, -72405?\nAnswer: -72695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 332 = -17*r + 5*k + 290, 0 = -2*r + 5*k + 47 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 210*m**2 + 36*m. Let w(s) = -30*s**2 - 5*s. Give 5*o(a) + 36*w(a).\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.080519 kilograms in nanograms?\nAnswer: 2080519000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1000001111001?\nAnswer: -1000001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) -4\/3 (c) -1\/4 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2 - 242948*u + 2672186 = 0.\nAnswer: 11, 121463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/15 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2813 * 0.5.\nAnswer: 1406.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/5))**(-30)*(p**21*p*p)\/p**41)**5 assuming p is positive.\nAnswer: p**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 758\/(-379)*(2\/5 + (-390)\/(-25))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - j. Let x(b) = 10*b**4 + b**3 + 3*b**2 + b. Let t(z) = a(z) + x(z). What is the third derivative of t(s) wrt s?\nAnswer: 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 3, p: 5, b: 1, k: 1}. Give prob of picking 2 j.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Let y(n) = n**4 + n**3 + n + 1. Let o(h) = -8*h**4 - 20*h**3 + 9*h**2 + 19*h - 2. Let a(z) = b*o(z) + 4*y(z). Suppose a(s) = 0. What is s?\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*u - 9 = -u, -3*j - 3*u + 33 = 0. Let h be (-1 + j\/6)*6. Solve 2\/7*m + 0 - 4\/7*m**h - 2\/7*m**5 + 4\/7*m**4 + 0*m**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-four fifths of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 188*b**2*d*l + 282*b**2 + 2*b*d - b*l + 2*b - 46*d**3*l - 8*d**3 wrt l?\nAnswer: 188*b**2*d - b - 46*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/32)\/((-12441)\/6786).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Suppose -c*j + 23 = -3*o, 32 - 7 = 5*j - 3*o. Suppose 4*t = -3*b + 8, b + b = -2*t + j. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9 - 10\/(-6). Suppose b - 2*i - 17 + 3 = 0, 3*i = -3*b + 6. Suppose -m - b = -4*m. Solve x = -l - m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6840\/(-8721)*(-9)\/6.\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*v + 170499 + 100901. List the prime factors of v.\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018598577 rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31672669 is divided by 328.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 4*k + 46 - 20 + 44, -m - 90 = 4*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -641 - 64.\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 3*i - 18. Calculate the lowest common multiple of 16 and z(-3).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 19*p**3 + 3*p**3 + 13*p**3 + 5*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 57\/(-5 - 332\/(-64)). Calculate the highest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 - 0.6. Let v = -2.01615 + 0.01615. What is the closest to -0.1 in u, 6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + v - 4*v + 17*v**3.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Let p(i) be the first derivative of j*i**2 - 2 + 0*i + 2\/21*i**3. Solve p(g) = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(60)\/(sqrt(12) + sqrt(36)\/sqrt(3)) + -3 + sqrt(55)\/(3*(-2*sqrt(11) - sqrt(11)))).\nAnswer: -3 + 7*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27551063 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yggyycycygcyy.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -4, 17, -3, 98 in decreasing order.\nAnswer: 98, 92, 17, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 76*g + 7759. Give n(-102).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 516 - 367. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one fifths of a decade?\nAnswer: 1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/1)\/(1665\/(-6105))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**3 - 2*t**2 + t + 2. Let k be j(-1). Suppose -2*n = 2*d - 198, n = -3 + k. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/12 - 2*j**3\/3 - 3*j**2 - 3*j. Suppose 110*v - 370 = 54*v - 90. Give t(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-907 - (14 - 77))\/(2\/(-8)*2) and 422?\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 28 = 13*c. Let a be -2 - -2 - -97 - -1. Calculate the highest common factor of c and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0 - 0) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 6444719?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.15 - -0.19. Let s = g - 0.34000094. Round s to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*v**2 + 40756*v - 47996320 wrt v.\nAnswer: -112*v + 40756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/3*(0 - (-2)\/4). Are -3\/5 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(240) - ((sqrt(240) - -4*2*sqrt(240)) + sqrt(240))))\/(sqrt(108)*-1*3*-2).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = -4*a - 81. Let z = a - -135. Does 23 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107536 and 69043.\nAnswer: 12151568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 9 = -2*q. Let x be 0\/(-4) - 2*2\/4. Put x, q, 0 in decreasing order.\nAnswer: 0, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q - 3*q)*(0 - 1 + 3)*(2 + 1 - 4).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, -54, 6?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86052*z**2 - 43030*z**2 - 43023*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 52. Calculate the highest common factor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 8*i + 9. Let x(l) = 5*l**2 - 41*l + 45. Let a(c) = -c + 2. Let g be a(0). Suppose 51*m - 50*m = -11. Let h(k) = g*x(k) + m*r(k). Factor h(z).\nAnswer: -(z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -56.98006?\nAnswer: -53.98006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(-2\/7))\/x)\/x)\/x)\/(x\/x**(-10)) assuming x is positive.\nAnswer: x**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1)*4770\/636.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -54, -60, -68, -78, -90, -104?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 236316126 to the power of 1\/2, to the nearest integer?\nAnswer: 15373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1116*l - 24775 - 32141 = 0 for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9808375?\nAnswer: 5, 78467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -21575526*q**3 - 68304*q**2 - 22768*q - 45536. Let x(l) = -2843*l**3 - 9*l**2 - 3*l - 6. Calculate -3*c(u) + 22768*x(u).\nAnswer: -2846*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmmm when four letters picked without replacement from {j: 3, m: 12}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7235883, -14471794, -21707705?\nAnswer: -28943616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111339 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 + j**2 - j. What is the least common multiple of x(1) and (34*-1)\/(-1 - 1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -85780.1 and 0.035?\nAnswer: 85780.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 552 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - 15\/(-4) - 3\/(-12). Solve 0 = 4*w + 20, -5*t - w + 2*w + 15 = v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 1 - 11*z + 2 - 1 to the form c + y*z**2 + u*z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**5\/3 + 20*l**4 + 316*l**3\/3 + 236*l**2 + 688*l\/3 + 80 = 0.\nAnswer: -6, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13243*u - 12195*u - 70946 = -8138 + 1120 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6312 and 10776951.\nAnswer: 86215608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, 31, 0.1, -1, -4, 0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 5*f. Suppose 3*q + 12 = 0, -f*o - 3*q = 6 + 6. Suppose -v + 6*v - 7000000 = o. Round v to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -52. Let v = -15 - f. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55808 is divided by 1868?\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*(h\/(h**(2\/11)*h))\/h)*h)**(9\/4)\/(h\/(h*h**2)*h**7))**(-9\/8) assuming h is positive.\nAnswer: h**(-855\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -466*n. Let s(o) = -2*o**2. What is s(g(r))?\nAnswer: -434312*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.22736 milligrams in nanograms?\nAnswer: 70227360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -11)*1*4\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11546 - 11545.99985674. What is k rounded to 6 dps?\nAnswer: 0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 1. Let r be u(-3). Let g be (-6)\/(3\/(-1)) - 8. Let l be (-3)\/g + 2\/r. Which is bigger: l or -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12035881 and 163383.\nAnswer: 36107643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1 + -1 - -3)*-1. Let q be 1\/38*12\/(-54). Is m <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*i + g + 2, 50 = 5*i + 5*g. Let d(j) = -14*j + 181. List the prime factors of d(i).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0623 + 0.0377. What is the nearest to i in -19, -0.2, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + t = 138 - 41, 5*t + 3324 = 67*y + 1267 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 15*o - 7. Give j(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6111 (base 16) to base 4\nAnswer: 12010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.2, 1\/8, -1\/7, 0, -17\/6, 3\/4?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5278 and 127\/290.\nAnswer: 26390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + d**2 + 2*d + 1. Let a be q(0). Let y = 5.2 - -2. Let g = y - 7.4. What is the nearest to g in 1\/3, -1\/3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*((sqrt(117) + 3)*-5 + sqrt(117) - sqrt(117) - sqrt(117))*-4)**2 + -3.\nAnswer: 76032*sqrt(13) + 637501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -587761*u + 587794*u + 528 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i*q**3*u + 3*i*q**2*u - 21*i*q*u**2 + 2*q**3*u**2 + 5*q**3 - q**2*u**2 - q wrt u?\nAnswer: -42*i*q + 4*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + a**2 + 1. Let b be 4\/6*21\/14 + -53. Let j = b + 51. Let h(l) = l**3 + l**2 - 1. Calculate j*h(v) - z(v).\nAnswer: -2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6310, 12436, 18562, 24688, 30814?\n\"Answer: 6126*x + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -2\/5 (c) -4 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -k + 3*d - 5, 0 = -3*k - 3*d + 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 116863417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times -1.45?\nAnswer: -1.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3\/(-75)*-5 - 438\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17625165 a multiple of 1923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 0.2, 3, 0.5, -1\/63, 5 in ascending order.\nAnswer: -1\/8, -1\/63, 0.2, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -26*v**2 - 432*v - 1447. Determine y(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 3*m**4\/4 + m**3\/6 - 5*m**2\/2 - 21*m. What is the units digit of p(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**3 + 80*o**2 - 1175*o + 3250 = 0.\nAnswer: -26, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3152 to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -317 + 313 - 6540\/(-168)*2\/20?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 - 4 = 0. Let j be 6 + -2 - (c + 1). Suppose 4*u + 3*w - j + 12 = 0, 2*u = -3*w - 13. Sort 5, -5, u in descending order.\nAnswer: 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150434 less than 19429.3?\nAnswer: -131004.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -12, -h + 44 = 2*k + 50. Is k bigger than -3\/1165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**5\/30 + x**3\/6 - x**2. Let k be l(1). Is 1\/3 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1\/215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1040 - 516 - h**2 - 524 + 0*h**2. Let x(v) = -700*v**2. Give l(x(s)).\nAnswer: -490000*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 77, -0.08, 324, 11\/4?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + -5 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*2*(sqrt(325) - 3*1*sqrt(325)) + -3)**2.\nAnswer: 720*sqrt(13) + 31254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 12:03 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 = 2*s. Let c(z) = 12*z**2 - z + 1. Let y be c(s). Suppose 6 = n - y. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6026326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10*q**3 - 2*q + 2. Let r(f) = -439*f - 3072. Let w be r(-7). Give n(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 15*j = -17*j + 210654. What are the prime factors of j?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32182 != -32183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*s, 2*s + 7 = k + 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i + 32. What is x(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (-33 - -10) + 21?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 9\/2*r**2 - 2 + 8*r. Differentiate g(x) wrt x.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3406*j - 7627*j + 4187*j.\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36112 to two decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12990 and 114478699?\nAnswer: 114465709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -5. Let h = 1 + -6. Let r be h*k\/((-3)\/8). Calculate the highest common factor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 547 - 543. Sort -2\/5, n, -1\/53, 5.\nAnswer: -2\/5, -1\/53, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*t = -132*t - 30, -2*m + 11*t = -1418. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*y = -2164 - 9761 + 193 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -664146 divided by -24598\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 5*d - 2*m - 45, m = d. Suppose -d = -b - 1. Let z = b - 1. Is z at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 16*n + 92. Does 12 divide j(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -27*f**2 + 5210*f - 2234299. Let p(d) = 17*d**2 - 3472*d + 1489533. Let i(n) = -8*p(n) - 5*y(n). Factor i(q).\nAnswer: -(q - 863)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -83 (b) 16754 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 329 = -4*v, -3*v + 8*v - 409 = f. Suppose 114 = -81*d + v*d. What are the prime factors of ((-2)\/(-4))\/(3\/d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.335634 to the nearest integer.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 2*b - 6. What is w(3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 17*o - 12 - o**3 + 7 - o**2 + 0*o**3 + 15*o to k*o**3 + j*o + f*o**2 + t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55298.\nAnswer: 2, 43, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 41. Suppose 35 = -s*f + 6*f + h, 2*h = f - 11. Let c(y) = -y**3 + 0 + 10 + 3*y**2 + y - f. Determine c(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 5. Let q(d) = -d - 1. Let j(m) = -4*m - 6. Let g(a) = j(a) - 5*q(a). Let z(s) = -2*s + 4. Determine o*z(h) + 3*g(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*j - 523 = -1104 - 1363. Which is the biggest value? (a) -4 (b) -2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8881 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q**(2\/5)\/q)\/q*q*(q**(-10)*q)\/q)\/(((q\/q**(2\/25))\/q)\/q*(q\/q**3)\/q) assuming q is positive.\nAnswer: q**(-113\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4535, -9061, -13587, -18113, -22639, -27165?\nAnswer: -31691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 718919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*g - 1810, -5*g + 7*g - 896 = -2*b. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 d, and 1 i when four letters picked without replacement from dwnddiidwddddn.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2124 = -47*m - 2641 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -g. Let m(t) = 4*t**2 - 31*t + 33. Let d be m(1). Solve d*n = g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11223 is divided by ((-4)\/(-13))\/(131\/103883)?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33 (b) 1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdkggddkgggegcggdck. What is prob of picking 2 k and 1 d?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 82\/5 in -0.4, 101.2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 15*t**3 + 4535*t**2 + 52295*t + 47600. Let r(x) = x**3 + 267*x**2 + 3076*x + 2800. Let d(h) = -2*n(h) + 35*r(h). Suppose d(q) = 0. Calculate q.\nAnswer: -40, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919442 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3876102 * -514\nAnswer: 1992316428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8593 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 9*m. Let x(z) = 2*z - 1. Let w be x(4). Is h(w) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*6*1\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 16. Put 0, 2, f in increasing order.\nAnswer: 0, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-248)\/(-93)*(-3)\/(-4). Solve 2*o + a*g - 2 = 0, o = -o - 5*g - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -405 - -2829\/7. Suppose -s - 2 = s. Which is greater: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.554 + -0.046. Sort 3, y, 2\/3, 8.\nAnswer: y, 2\/3, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 432218 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (354\/1475)\/(-21*3\/180*(-6)\/(-28))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -f2c8b?\nAnswer: f2c8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(-6*(sqrt(12) + sqrt(24)\/sqrt(2) - sqrt(12))).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -143194 divided by -143194?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4322023 (base 6) to base 8\nAnswer: 637777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34002165*l - 4 + 4.\nAnswer: 34002165*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 133*v**2 - 22*v - 55. Let z be u(-8). Let g = z + -4644. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + (sqrt(28))**2 - (sqrt(7) - (4*sqrt(14)\/sqrt(2))**2) - (0 + (sqrt(7) - ((sqrt(14) - -1*sqrt(14))\/sqrt(2))**2 - sqrt(7)))).\nAnswer: -sqrt(7) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -8.37\nAnswer: 4.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 3*u. Let g(n) = -n**2 - 5*n + 6. Let b be g(-5). Let d(p) = -16*p + 5. Let s(j) = 13*j - 4. Let v(h) = 4*d(h) + 5*s(h). Give b*v(x) + 2*q(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omkoo. What is prob of picking 1 m and 3 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182040 and 666.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6 + 0 = 0. Let l be 10 - (-90 + 0) - 0\/2. Let q be -8 - (l\/(-36) - t\/(-9)). Let r(k) = 2*k + 1. Give r(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*j**2 + j**3 - 1850 + 922 + 928 - 22*j to w*j**3 + p*j**2 + y*j + s and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v - 2. Let k = 4 + -2. Calculate h(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28677344 to 4 dps.\nAnswer: 0.2868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 2. Suppose 0 = -15*t + 14*t - 4. Determine a(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 - 108 - 137 - 117 - 6*r**2 + 478.\nAnswer: -6*r**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/49)\/(8\/28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115*u**2 - 123*u**2 + 2*u**3 - u**3)*(u**2 - u**2 - u**2).\nAnswer: -u**5 + 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 12. Let v = -2 - y. Suppose 75 = 5*k - z, 5*k + 0*z + 5*z = 45. Solve 7*p - 2*p - k = -3*n, -2*p = -v*n - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a microgram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.037 and -622.8?\nAnswer: 23.0436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10744 divided by 316.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 + (-3 - -2)) - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 * 357.3\nAnswer: -5359.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2389 + -2389.028375. Round m to 4 dps.\nAnswer: -0.0284","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = -842*o + 878*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667814?\nAnswer: 2, 7, 47701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2fe98bc5 + 4?\nAnswer: -2fe98bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-1)*i*i\/(i\/i**(1\/2)*i)*i*i\/(i\/(i\/(i**(-4\/3)*i*i)))*i\/(i**(1\/7)*i)*(((i\/i**2*i)\/i)\/((i*i\/i**(1\/4)*i)\/i))**(4\/3) assuming i is positive.\nAnswer: i**(1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 4*k + 3 - 4, 0 = 4*t - 5*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10849286, 21698574, 32547862?\n\"Answer: 10849288*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15785 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7476*m*v*z**2 - 2*m*v*z + m*z**2 + 7806*m - v*z**2 + 23*v*z - 4*z**2 wrt z?\nAnswer: 14952*m*v + 2*m - 2*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1072362630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 368 + -10 + 4 + 3. Suppose -2*b + p = 3*b. Find the second derivative of -2*a + b*a**5 - 7*a - 72*a**5 wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9193005*y**4 + 21083030 wrt y?\nAnswer: -36772020*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/336)\/(-3*(-4)\/(-36)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyaazaaaaaazaz. What is prob of sequence zya?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -537, -1073, -1609, -2145, -2681, -3217?\n\"Answer: -536*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/378 and 91\/162.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9633 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - p + 0*p)*(-3*p + 84*p + 9*p) + (p**2 + 4*p**2 - 6*p**2)*(-3 + 2 + 0) in the form f*p**2 + t + v*p and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l - 8 = -4*h, 2*l = 4. Solve -x - 2 - 3 = h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*t + 14 - 3 = 0, -2*f - t + 5 = 0. Solve -5*w - f = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*v + 229*v**3 - 120*v + 165*v + 243*v**3.\nAnswer: 472*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, h: 2, g: 1, p: 4}. Give prob of sequence hrg.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -40. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/11)\/(51\/((-459)\/(-90))).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 91\/910 - 8298\/(-20). Which is the nearest to 1? (a) 5 (b) 3 (c) 0.3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 22 = -4*r, 0 = 2*r - 0*r + 4*u. Which is the closest to 1\/6? (a) 4 (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70993043039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1875, 7583, 17097, 30417, 47543, 68475, 93213?\nAnswer: 121757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 4, -2\/11, -4, 8\/61?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*z + 48. Suppose 0 = b + 5*g - 24, 54 = 2*b + g - z. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10776 is divided by 97.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*u**4 - 108465*u**3 + 2*u**2 - 1084941*u - 39?\nAnswer: -84*u**2 - 650790*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 620826 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 15 + 10. Let r(t) be the third derivative of -t**6\/60 - 2*t**5\/15 - 3*t**4\/8 + 5*t**3\/6 + 2*t**2 - 14. What are the prime factors of r(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*w + 42*w = -1362*w - 25965 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Suppose 0*v - z*v + 88 = 0. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*l - 5*h, l + 3*l - 4*h = -20. Let t = 1 - 2. What is the units digit of (2*33\/l)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 43 = -93. Let o = -67 + j. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2550038 and -2550038 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -106, 2 in increasing order.\nAnswer: -106, -14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -11.094. Let q = s + 0.057. Let t = q + -15.951. Round t to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4047 is divided by 311?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-84)\/(-7))\/(-84))\/(2\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*a = 125*a + 84 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2597*z**4\/2 - 7919*z**3\/4 + 7599*z**2\/4 + 2693*z\/2 + 32 = 0. Calculate z.\nAnswer: -2, -1\/2, -64\/2597, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = -25\/4852779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 5*t + 5. Let w be i(-2). Is w smaller than -1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h - 126 = 33*h - 32*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {b: 11, w: 3, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2. Let k be -3*(-1)\/(1 - -2). Let s(w) = 5 - k + 2*w - 4. What is s(n(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (358\/(-6))\/((-3)\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from caxhsoh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4\/15*(-720)\/(-96)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqoo when four letters picked without replacement from qotalllaoo?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -6)*(-80)\/(-6). Let t = -1067 + 1118. Let j = t + m. What is the lowest common multiple of j and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/240739 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*g - 5*o - 15, 2 = -4*g - 2*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -111.69, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*i**2 - 273*i**2 - 72*i**3 - 7*i**3.\nAnswer: -79*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgvvgvvvv. Give prob of picking 2 v and 1 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rry. Give prob of sequence rr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/986418 - 12089045789\/9864180. Let n = g + 1226. Let d = 117\/2 + -52. Calculate the common denominator of d and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 8, -1 - 6 = 3*v - 2*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 16. What is the lowest common multiple of 9 and w(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.95 - -0.05. Let q = -298.7 + 320. Let p = q - o. Sort -1\/4, 3\/7, p in ascending order.\nAnswer: -1\/4, p, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 230780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*h - 66820 + 18731. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -1, -3\/2, -0.207, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2 + 2)*1. Let o(w) = -w + 23. Let n be o(19). What is the nearest to i in -0.5, 3\/2, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2. Let q(a) = -a**3 + 4*a**2 + a + 2. Let c be q(4). Let k(p) = c*p - p - 4*p. Let v(f) = f. Let y(u) = -k(u) - v(u). What is m(y(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*x**2)*(-4 - 4 + 9).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**5 - 2370*k**4 - 79980*k**3 - 488920*k**2 + 4579200*k + 10512000 = 0. What is k?\nAnswer: -438, -20, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10867 - 6009*i - 10867 to t + l*i and give l.\nAnswer: -6009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413\/590*-6*95\/(-19).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/6 + (-4)\/12. Let j = 1646.33 - 1646.3. Which is the third biggest value? (a) -1 (b) h (c) -0.3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125 + 2*i - 6*i**2 - 10*i - 187 + 8*i as k*i**2 + n*i + g and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10068)\/7)\/((-1)\/(9 + -2)). Differentiate 14 + o*v - 10068*v + v**4 + 2*v**2 wrt v.\nAnswer: 4*v**3 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 16*w = 42. Solve 2*c - 3*t - 9 = -2*t, -w*c + 4*t = -16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -418\/7 + 60. Let q be (((-140)\/(-75))\/7)\/(2\/(-6)). Which is the closest to j? (a) 0.5 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286911 - 393291 = -93*c. Is c a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -35271, -70546, -105821?\n\"Answer: -35275*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -152*x + 5. Let m(o) = -303*o + 9. Let b(k) = 9*h(k) - 4*m(k). Is b(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -212810, 57, -5 in increasing order.\nAnswer: -212810, -5, 57","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -70621 = 4006*d + 20510 + 171437 + 146044 for d.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*t**2 - 22*t**2 + 7*t**4 + (-2*t + 3 - 3)*(2*t**2 - 2*t**2 + 2*t**3))*(-3 + 3 + 3) to r + z*t**3 + u*t**4 + s*t + h*t**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1755 is divided by 578.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 26\/39)*(-1 - 740). Let f = 825 + k. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 74\/(-42) - 564\/(-423). What is the closest to d in -12, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 29*d**3 + 21*d**3 + 18*d**3)*(-2*d + 12*d + 14*d) to s*d**4 + t*d**2 + g + m*d + i*d**3 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 - -1.2. Let z(f) = -3*f - 4. Let b be z(3). Let s = -67\/5 - b. What is the nearest to l in 5\/4, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11332 (base 4) to base 9\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5507 = 19*x - 9826. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 + 3*l**3 - 1 + 5*l - 2*l**3 - 4*l**2. Let z(b) = -b**2 + 45*b + 202. Let o be z(49). What is j(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m = -50*m - 14. Which is the closest to 30\/7? (a) -1 (b) -4 (c) m (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 160*u**3 + u**2 - 2*u + 2. What is k(1)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-12))\/(6\/9). Is -0.08 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - -123134?\nAnswer: 123105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 7, 2, -15, -50, -109?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 364\/144 + -3 - (-6)\/24?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26997 - -28084. What is the least common multiple of 5 and c?\nAnswer: 5435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98*m + 9*m - 372*m**3 - 72*m**3 - 149*m**3 + 46*m**3 wrt m.\nAnswer: -3282*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25a - -c9926?\nAnswer: c9699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(3\/366))\/(-2). Let h = -39 - j. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 191b9b - -5?\nAnswer: 191ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 41, 99, 191, 323?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50.0939 + -50. Round s to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Let t = -0.6998 + 0.2998. What is the fourth biggest value in 0.4, -0.05, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -4*v - 32, -v = k - 3 + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:09 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 18*w + 45. Let r be (w + (6 - 12))*2\/4. Let g(o) = -o**3 - 8*o**2 - 13*o - 7. Give g(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m. Let h(l) = -3*l + 44. Let u(z) = -4*z + 45. Let a(i) = -6*h(i) + 5*u(i). Give a(n(k)).\nAnswer: 10*k - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55195837.\nAnswer: 23, 307, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 199 + 203 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -381*d + 792. Give a(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6452?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0329 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/12)\/((5\/(-4))\/(12\/16))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 164 + 152 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2584361.\nAnswer: 13, 19, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.457948um in millimeters?\nAnswer: 0.006457948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -25193274 and -25193272 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 21 + (-22 + 2 - -19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114222580.\nAnswer: 2, 5, 23, 2422223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-490)\/21 + (-120)\/(-90))*2\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlkr when four letters picked without replacement from krrlrlrik.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c + 11. Let h be i(0). Let g = 7 - h. Which is greater: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 2 - 3*j + 147*j to the form l + o*j and give o.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-2 - -1)) + 8 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6.1. What is the nearest to g in 3, -2\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(10)\/sqrt(2) - sqrt(5) - (sqrt(80)*-5 + sqrt(5)))**2.\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 1. Let r(z) = -19*z**2 + 4. Determine -4*l(a) - r(a).\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 872151533 to the power of 1\/3, to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -104\/15?\nAnswer: -104\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -5. Suppose -v*b + 29 = -11. Let f be 84\/(28\/b + -2). What is the highest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = r + 25*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in -2\/3, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7 + 4*k**2 + k**3 - 4 + 10*k**2 + 0. Let x be m(-14). Suppose -x*f + f = -6. Calculate the greatest common divisor of f and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = 2*a. Suppose a*w - 12 = -w. Suppose b + w*s = 4*s + 8, 5*b - s - 28 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l + 3*l - 90. Solve 0 = 4*m - 2*m - 5*v - l, 0 = -4*v - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*s - 65. Let v(r) = -26*r - 26. Let k be v(s). Suppose x + 5*b - k = 0, 2*b = -0*x - 4*x + 1886. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*n + 19. Solve 8 = -n*r + 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + 39\/(-6))*(-3 - 3). Suppose -5*l = -3*p - 45, -w*p - 8 = l - 13*p. Let n(m) = -5*m - 1. Let x be n(-1). Solve -4*k - x - l = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7163.1 + -5532. Let b = 1717 - k. What is b rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011002 (base 4) to base 2\nAnswer: 1000101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.025 and -3?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -424 - -176. Let s = -248.000000061 - l. Round s to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**4 - 7495*j**3 + 2383985*j**2 + 328806495*j + 648017010 = 0.\nAnswer: -101, -2, 801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -75*p**2 - 3. Let v(h) = h. What is k(v(c))?\nAnswer: -75*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456416 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 9 = 4*t, u + 3*u - 2*t = 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1662)\/(-13573) + (-4912)\/98\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986572559 to the power of 1\/2, to the nearest integer?\nAnswer: 54650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*g**2 - 3*g + 2*g + 1256*g**2 - 11.\nAnswer: 1318*g**2 - g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/13 + 60*j\/13 = 0. What is j?\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + (sqrt(27) - (sqrt(27) - (-3*(sqrt(27)*1 + sqrt(27)) - sqrt(27))))\/sqrt(9) + -3*sqrt(363)*1*4*-1.\nAnswer: -1 + 125*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(2) + sqrt(20)\/(sqrt(30)\/sqrt(3)) + sqrt(2))**2 + sqrt(2)*1 + -5).\nAnswer: 5*sqrt(2) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 55. Suppose -m*l + 64 = -24. Calculate the lowest common multiple of l and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -1 + 1 + -10. Let o = t - -11. Suppose -4 = -o*n + 8. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-4 - -2)) + -23 + 18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.8. Let s be (-34)\/72 + (-2)\/(-9). What is the nearest to -1 in h, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = -3*g, 3*z = 2*z - 2*g + 6. Let t(d) = -4*d + z*d + 4*d. Let l(r) = r. Determine t(l(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -3, -2\/23, 817\/29 in descending order.\nAnswer: 817\/29, 2\/13, -2\/23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 10:37 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 45\/(-5) + 3. Let g be -5 + (17 - s\/(-2)). Suppose -9944519 = -g*d + 138055481. Round d to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aacqxqqq. Give prob of picking 3 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 + 100. Calculate the remainder when (-2 + (-76)\/2)\/(-1) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/7*u**4 + 3\/7*u**5 + 0*u + 0*u**3 + 0*u**2 + 0.\nAnswer: 3*u**4*(u - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -899 - -910. What is the remainder when 97 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 89*b**2 + b. Suppose 0 = 3*w - 3*v + 15, w + 11 = 6*w + 4*v. Let y be r(w). Calculate the remainder when y\/2*1 + -4 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15*5*4. Let z = l - -2. Solve 3*i - z + 28 = 3*o, 4*i - 5*o = -26 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239107 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2478 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 7:06 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -z + 2*q, 2*z + 0*q - 1 = -q. What is the smallest common multiple of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 16. Let c(f) = 1232*f + 2972*f - 205*f - 4 + 3637*f. Let p be c(i). What is p rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + 518 - 1046 - y + 490 as d + j*y**2 + b*y and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 6*o + 6. Let p be t(-5). Let u = p - -2. Suppose 14 = -u*n + 170. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/11 - -6*(-2)\/66?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/8 (b) -3 (c) -0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (5 + -24 + -7 + 51).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -156 + 176 + (-20 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m = -4*s - 146, -3*m - 91 = -s. Find the common denominator of 71\/4 and m\/(-4)*(-10)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -0.4. Let i(n) = -n**2 + n + 2. Let z be i(0). Suppose 0*r = z*j + 2*r + 14, 0 = j + 3*r + 13. Which is the closest to -1\/4? (a) u (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*a**3 - 24492*a**2 + 224767*a - 12078.\nAnswer: -(a - 9)*(a + 671)*(37*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -0.5. Let p = 0 + j. Put 1\/3, 2\/9, p in increasing order.\nAnswer: p, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 371 and 17861.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241292 = 120*r + 52772. Solve -6 = 1570*s - r*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) + 2)**2 - (sqrt(68) + 4).\nAnswer: -25 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 4) to base 13.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = w - 2*l, 4*l = -4*w + 16. Let d be (13 - 14) + (-3)\/(-9)*w. Which is greater: 4\/31 or d?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + h + h + 4, 0 = -3*v - 2*h - 3. List the prime factors of (v\/(-2))\/((-2)\/(-52)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(-644)*172\/(-43)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 22*s**2 + 21*s - 3. Let z(i) = -i**3 - 3*i**2 - i + 1. Let y be z(-4). Let n be u(y). Let r = 0.02 - 0.02. Put r, n, 1 in decreasing order.\nAnswer: 1, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13, 22, 47, 88, 145, 218, 307?\n\"Answer: 8*n**2 - 15*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 176688*13\nAnswer: 2296944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -983\/20679 + 5\/339. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 75945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7130 divided by -23?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*h - 40, 42*l - 6 = 44*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*t - 11, -s - 3 = -t - 4. Let i = -2 + 2. Suppose i*p - 4*p + 17 = -v, 0 = -5*v - 5. Solve -t = p*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 - 45. What is the remainder when -36 + 90 + 15\/(-2) + 11\/(-22) is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20212203 - 20?\nAnswer: 20212123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 109 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*q + 8 + 9. Which is the nearest to -3? (a) 4\/7 (b) 1\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2964 + 3189 = 3*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.49 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6. Let n be 0\/(o - -3) - 3. Let v be 5\/(-63) + 3\/(-21). Which is the closest to -2? (a) n (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7516*q - 60189. Calculate u(-8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 565\/7?\nAnswer: 565\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from wwlhwtow?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -45*z - 110. Let y(r) = 6974*r. Calculate j(y(o)).\nAnswer: -313830*o - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 5*q + 4. Let k be r(5). Suppose -2*v + 0*v = 3*u - 62, -4*v - k*u = -120. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**5\/20 + 3*z**4\/4 - 2*z**3\/3 + 11*z**2\/2 - 2*z. What is the remainder when i(-9) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 + 228. What is the remainder when s is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abccbbcbcxsec. What is prob of picking 1 b, 1 s, and 2 c?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -3)\/3*-12. Let a be (32\/9 - k)*(-6)\/(-4). Let i = 2.91 + -3. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**4\/5 - 411*f**3\/5 + 1251*f**2\/5 - 1257*f\/5 + 84 = 0 for f.\nAnswer: -140, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1. Let s(f) = -6*f**2 + 3. Calculate 3*c(z) + s(z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948971 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 6*t + 39 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-28))\/(9\/36*104\/286)\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -2*y - 125. Let b = -2320169\/4237266 - 67\/7194. Let d = 14\/31 + b. What is the nearest to -2\/3 in y, d, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 7*o**2 - o + 7. Let t(g) = -6*g**3 + 35*g**2 + 5*g - 36. Let q(l) = -2*t(l) - 11*x(l). Let a be q(-7). Is 4 a factor of 8\/a*39\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -102. Let r = -98 + a. What is the closest to r in -0.1, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 397 and 406 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 33282.23nm?\nAnswer: 0.00003328223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55*((-6)\/(-18))\/(((-220)\/(-36))\/(-11))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1298 + 7?\nAnswer: -1291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2867536, -2867533, -2867530?\n\"Answer: 3*n - 2867539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -7*l**3\/3 - 40*l**2 + 36*l. Is 31 a factor of f(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 9*r**3 - 73*r**2 - 88*r - 17. What is the remainder when z(10) is divided by 111?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8996\/24 + (-29)\/(-174). Calculate the highest common factor of i and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -851 (b) 5 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010 (base 3) in base 8?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1046 - 6?\nAnswer: -104c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-30) + 1\/(-5)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293951 > 2057661\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/15)\/(4\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7162636 is divided by 618.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0217 + 49.0783. Let l = s + -44.1. Let b be 1 + -2 + (-10)\/(-6). What is the fourth smallest value in b, l, -1, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**12*c)\/(c\/(c*(c\/(c\/c**(10\/9)))\/c*c))*(c**3)**(-1\/7) assuming c is positive.\nAnswer: c**(862\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63512.8 rounded to the nearest one hundred?\nAnswer: 63500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, v: 1}. What is prob of picking 3 n and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/35)\/1*2*1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/80 or 452?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 2, i: 2, o: 6, f: 1}. What is prob of picking 1 o and 1 a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w + 26. Let n be b(5). Let q = n + -12. Let i = q - -18. Solve i*s - 7 + 0 = -3*r, -3*s = -2*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -18213 minus -18.5?\nAnswer: -18194.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**2 + 28*q - 24 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39145.\nAnswer: 5, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -26 - 7. What is the smallest common multiple of 3 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2 + 12\/3. Suppose 2*r = q, -r - 23 = -l - 4*r. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 10:43 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -603*w - 2. Let r be b(-12). Let x = 10983 + r. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 166869, 333741, 500613, 667485?\n\"Answer: 166872*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + a + 33*a**2 - 5*a - 6 - 107*a**2.\nAnswer: -74*a**2 - 3*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 47.99835. What is w rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26514405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 86. Suppose i - 4*x = 18, x = -i - x - v. Solve -3\/4*j**3 + 0*j + 0*j**4 + 3\/4*j**5 + 0 + 0*j**i = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 288?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 214*y**2 - 212*y - 7. Give l(106).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -304 - -473. Let o = 170 - l. Calculate the highest common divisor of o and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -104713405161311?\nAnswer: 104713405161309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -31, -2\/29, 1\/10, 3\/4.\nAnswer: -31, -0.5, -2\/29, 1\/10, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/21, -3, -0.31, -2\/5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -33. What are the prime factors of (-303)\/(-6) - p\/6?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 70.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/223 (b) -15\/14 (c) -1 (d) -1\/5 (e) 2 (f) 43\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(-1*(-9)\/135).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.133 + -0.113. Is -3\/16 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -292*f**4 + 174?\nAnswer: -1168*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.048747 to three dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2604 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**2*i**2*m**2*v**3 - 4*b**2*i*v - 47*b**2*m**3*v**3 - b*i**2*m**3*v**3 + 3*i**2*m**2*v + 2*i*v**3 wrt m?\nAnswer: -282*b**2*v**3 - 6*b*i**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 348)\/(-26) - (-8 - -1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.7987 - 4.633944. Let o = i - 0.164. Round o to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 times -0.392\nAnswer: 19.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvfvvplrvvrlfplrfffb. Give prob of picking 1 f, 2 v, and 1 b.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3705 divide 54126456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*j - 0*j. Suppose -1370 + 481 = -18*k + 605. Calculate the remainder when k is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k - 478. What is r(-61)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 9*f**2 + 7*f + 7. Let y be r(7). Let x be 3 - -1*6*-3. What is the units digit of (-5)\/(x\/y)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181278805 to the power of 1\/2, to the nearest integer?\nAnswer: 13464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 2183169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1241 equal to -1226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -11. What is the remainder when 44 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -3 (b) 7 (c) 27 (d) 2.84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9541 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/3*9\/(-6). Let b = 16 - i. Let h(p) = p**3 - 5*p**2 - 3*p - 7. List the prime factors of h(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2 - 5*p - p**3 - 5 + 0*p**3 - 4*p**2 - 5*p**2. Let w be v(-4). Which is smaller: -11\/6 or w?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 8. Let v be o(-9). Let c = -17 - v. Let 0*t + 1\/3*t**2 + c + t**3 = 0. Calculate t.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2273 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113304 - 443?\nAnswer: 112421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 0 - 31*w**2 + 0*w**3 + 1\/12*w**5 + 0*w**4 + 0*w. Let f(s) be the second derivative of s**3\/2 - 14*s. Determine q(f(p)).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -39946?\nAnswer: -15978.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/564 and 28\/27.\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 4*s**2 - 107*s - 355. Let t be o(-4). Put t, 5, 2 in decreasing order.\nAnswer: t, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.23 + -1.23000107. Round y to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 10539.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 922*a - 1025*a - 927 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*d = 16*d + 106*d + 155*d + 16608 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2. Let x(p) be the first derivative of 0*p**4 + 0*p**3 + 1 + 1\/20*p**5 - p**2 + 0*p. Let f(h) be the second derivative of x(h). What is n(f(k))?\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 6*j**2 - 7*j - 5. Let i be v(-5). Suppose 2*s = 3*r - 15, 0 = -2*s + i*s. What is the remainder when 14 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 240 or 178?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 34. Suppose 0 = h*u - 2*u - 4. What is the units digit of (u + 28\/(-6))*-126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 18710 and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104335 and 11766007.\nAnswer: 2981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1.2. Let i be 1 + 358\/16*2. Let x = i - 1273\/28. Which is the second biggest value? (a) y (b) 1\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426090503.\nAnswer: 103, 1451, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**2*y - 355*n**2 - n - 856*y wrt n?\nAnswer: 2*n*y - 710*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 46*m**2 + 0*m**2 + 0 + 45*m**2 - 98*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*g - 68 - 44, -3*c = -2*g + 192. Let v = c - -127. Calculate the highest common factor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299, -604, -909?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98207217 to the nearest integer?\nAnswer: 9910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 274 = -160 - 184 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-9) - (2 - (2 + 1)). What is the least common multiple of 60 and 7*(138\/14 - (q - -3))?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49762944 divided by 1344\nAnswer: -37026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -122323002 (base 4) in base 7?\nAnswer: -636333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 31 = 5*l, -5*l + l = -5*b - 25 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2581*d - 27542 = 2579*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92156 and 23039.\nAnswer: 92156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -0*d + 10, -3*d + 10 = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 - 2.5. Let u(o) = 3*o**2 + 18*o + 22. Let s be u(-9). Suppose -11*p - s = -4. Which is the closest to q? (a) -4\/9 (b) -2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2705253485 to the nearest integer?\nAnswer: 52012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 9 - 9 - 862*g + 31.\nAnswer: -862*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2933*y - 86*y - 133809 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 158245973*u + 150298336?\nAnswer: 158245973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by 114.\nAnswer: -46\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(80\/12) - 11\/44?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 9*a + 14. Let j be k(-10). Suppose 6*o = j + 20. Determine v so that -2*v**2 + 3*v**2 - 5*v**2 - o*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106124152817 + -563.\nAnswer: 106124152254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2938946.\nAnswer: 2, 773, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16492 + 55199. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 8*l = 34, 0 = -2*p - 36*l + 40*l + 56 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4856.325us in nanoseconds?\nAnswer: 4856325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*t + 2*p, -100*t + p + 4 = -102*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u + 84. Let m(k) = -3*k - 28. Give 7*m(l) + 2*p(l).\nAnswer: -l - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = j - 9. Let y be ((-8)\/j)\/(2\/(-20)). Let m(k) = -k**3 + 3*k**2 + 2*k + 1. What is m(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**3 + n**2 - 11*n + 2. Let j be ((-9)\/(-6) - 2)*-18. Let p(b) = 11*b**3 - b**2 + 23*b - 3. Let m(q) = j*v(q) + 4*p(q). Determine m(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410804.\nAnswer: 2, 102701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 61\/6 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 - 192 = -21*r - 109. What is the third biggest value in r, -3\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5348700 or 5348709?\nAnswer: 5348700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6852 + -6948. Suppose -8*w + 5 = -3*w, 0 = -g + w - 92. Let a = g - h. Solve 0 = -a*i + 12 + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14\/19 - 61\/57. Which is the third biggest value? (a) m (b) -8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1223, 128.\nAnswer: -1, 128, 1223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-38)\/(-8))\/((-5)\/20). Let d = 17 + j. Let v be (-820)\/d + 2 + 1 + -6. Calculate the highest common divisor of 37 and v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 225706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54550279.\nAnswer: 7, 59, 18869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/264 and 69\/88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21331526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1353.2 + 1355.2. What is the second smallest value in 8\/5, -1, -0.5, o, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 u when three letters picked without replacement from {o: 2, x: 2, w: 1, u: 2, y: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34084317781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-24)*(18\/4)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1002 (base 6) to base 14\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 21402\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*y**2 + 2*y + 37 wrt y?\nAnswer: 34*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*a + 1 - 5 - 28 - 6 + 35.\nAnswer: 128*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**4 - 768*m**3 + 55296*m**2 - 1769472*m + 21233664 = 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxm when three letters picked without replacement from xxwxmcxwrrxxrw?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 31 = 2*m - 2*y, -4*m = -5*y + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83727872 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -556, -1229, -2172, -3391, -4892, -6681?\nAnswer: -8764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/5 (c) 4 (d) -24 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1423874, 1423877, 1423880?\nAnswer: 1423883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39319943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwpwwwwwpw. Give prob of picking 1 p and 2 w.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - -504?\nAnswer: 504.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3962 - 3960. Let f(p) be the second derivative of -2*p**3\/3 + p**2 - p. What is f(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19734 and 110.\nAnswer: 98670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 260, -0.03, 0.5 in decreasing order.\nAnswer: 260, 0.5, -0.03, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 + 48*m**2 - 48*m + 41. Determine w(23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1067638.7 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0 = -2*k - 2, 34 = 4*h + 5*k. Suppose -l = -h*l. What is the second derivative of -d + l*d**4 - d - d**4 wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94744 is divided by 31201?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -25. Suppose -4*g = -3*z + 1, -3*z - 4*g + 21 - t = 0. Let s(h) = -12 - 20 + z*h + 32. Let w(q) = 22*q**2. Give w(s(y)).\nAnswer: 198*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 6*l**2 - 7*l + 11. Suppose 0*s + 3*s - 2*a = -47, -5*s = 5*a + 45. Is t(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 927270 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*c + 29*c + 117 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*y - 3 - 12*y - 6*y - 30*y**3 - 13*y**3 - 7*y in the form k*y**2 + n*y + t*y**3 + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 17*w - 264. Suppose 2019 = 4*c - 3*q, 12*q - 3 = w*q. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffxfxxfhf. What is prob of picking 1 x and 1 h?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101203 + -233?\nAnswer: -101440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c - c - 39*c)*(-c + 5*c + 2*c) + (3 - 3 + 2*c**2)*(1 + 0 + 1) - 3*c**2 + 6*c**2 + 0*c**2.\nAnswer: -191*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -2*f**2 + 1\/60*f**5 + 0*f**4 + 0*f**3 + 0*f + 0. Factor l(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x\/x**7)\/x)\/((x**0*x*x)\/x))**(-25)\/((x*x\/(x**(2\/7)*x)*x)**41*x**(-2)\/(x*x**(-2\/9))) assuming x is positive.\nAnswer: x**(5197\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4789, 4828, 4901, 5008, 5149, 5324, 5533?\n\"Answer: 17*n**2 - 12*n + 4784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*z + 1. Let o = 2 - -1. Suppose -133 = -4*c + 3*l, o*c + 5*l = -0*l + 107. Calculate the remainder when c is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291302 is divided by 289.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jeejje. What is prob of picking 2 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5207\/2 - 2605. What is the third smallest value in -0.5, t, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 bigger than 318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llbblllll. Give prob of picking 1 l and 1 b.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*0.0675\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 4. Let j be v(-5). Let w(d) = -2*d**2 + 15*d - 26. Let a be w(4). Sort a, j, 3 in ascending order.\nAnswer: j, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 21 (c) -4\/17 (d) 0.3 (e) 889\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -523*m**4 + 9*m + 2*m + 9482 - 9499 + 5*m wrt m.\nAnswer: -6276*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 18777485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 31*w**2 + 3*w + 161. Let f(y) = 23*y**2 + 2*y + 161. Calculate -4*f(k) + 3*s(k).\nAnswer: k**2 + k - 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -18, -543, 1.\nAnswer: -543, -18, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, -0.4, -0.2, 0.5, -827 in ascending order.\nAnswer: -827, -0.4, -0.3, -0.2, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7400 = 100*q - 1980 + 4402 - 1822 for q.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 64. Let z = 37 - w. Does 13 divide (-364)\/(-7)*(z\/2)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -162*f**2 + 5*f. Let j(s) = -16*s + 247 - 247 + 9*s + 3*s. What is b(j(v))?\nAnswer: -2592*v**2 - 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3575112907 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(2835\/(-294))*18\/(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1051, 2708, 5599, 10342, 17555?\n\"Answer: 103*z**3 - z**2 + 939*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 18, 33, 34, 9, -54?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -3*p + 2*q - 18, 17 = -2*p - 3*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*z**2 + 2*z**3 + 501*z**2 - 203*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2683513, 2683514, 2683515?\n\"Answer: d + 2683512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808327 is divided by 35142?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2386023?\nAnswer: 3, 691, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 10 - 5)*(4 - 4 - 2*i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m**3 - m**2 - 5*m - 14. Let i be (-1 + 2)\/(4\/(-20)). Is n(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8\/17)*p**(-26) assuming p is positive.\nAnswer: p**(-450\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1257, 1253, 1249?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 295504 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9))**15 assuming g is positive.\nAnswer: g**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -1176*l. Let h(o) be the first derivative of -47*o**2\/2 - 2213. What is 126*h(b) - 5*r(b)?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14617343 a multiple of 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 8 + 4 = o, 0 = 2*o - 5*q - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/462213 and 17\/12231.\nAnswer: 209382489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 112. Let o be k(0). Suppose 3*s - 37 + o = 0. Let f = s - -25. Which is bigger: -10\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 - 252 = -8*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280527*v - 280525*v - 280519*v + 841571*v + 61*v**2.\nAnswer: 61*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19777351 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllwlwl. Give prob of picking 2 w and 2 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 - -124. Let z = 1.99999959 + h. Round z to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 17*s**2 + 39. List the prime factors of n(15).\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3988923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*t + 13999 + 13988 - 27969)*(0 + t + 0).\nAnswer: 62*t**2 + 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 2121807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -191, -170, -149, -128?\n\"Answer: 21*n - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 399 and -2596 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12931*i + 5586*i - 6*i**3 + 6553*i - 1053 + 255*i**2.\nAnswer: -3*(i - 39)*(i + 1)*(2*i - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/2)\/(-9 + 0 + (-32)\/(-16)). Which is the fifth biggest value? (a) 1\/4 (b) -0.2 (c) r (d) -429 (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 0 - 2*l + 0*l**3 + 0*l**2 + 1\/20*l**5 + 1\/12*l**4. Find the third derivative of r(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3098\/(-7745)*205\/2\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-468 + 64 - 124)*(-y - 2*y + y)*(-4*y**4 - 3*y**4 + 6*y**4 + (-2*y**2 + 1 - 1)*(3*y**2 + y**2 - 5*y**2)).\nAnswer: 1056*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 6:04 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2155405 (base 6) to base 7\nAnswer: -632123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/15)\/(4\/(-10)). Solve -3*q + 0*q = a - 11, 0 = -o*q - 5*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45.948 + 0.052. Let i = 47.48 - n. Let f = 1.480063 - i. Round f to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18216 and 6246.\nAnswer: 6320952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3707044.\nAnswer: 2, 11, 173, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -2\/15 (c) 2.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53914771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -266862936 - -0.0186959.\nAnswer: -266862935.9813041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/13, 23, 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150744 and 1782.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 314704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 7. Let t(b) = -b**i - 47 + 50 - 3*b + 9*b. What is t(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.0012 nanometers in kilometers?\nAnswer: 0.0000000000640012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) + (-128)\/(-56). Which is the closest to 3\/2? (a) 0.1 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 34*p + 29*p - 4 = 0, 3*r - 3 = -3*p. Let b = -2\/99 + -293\/198. Sort b, -5, r in decreasing order.\nAnswer: r, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 405*o + 24442. Give c(74).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5397, -10716, -15965, -21138, -26229, -31232, -36141?\n\"Answer: h**3 + 29*h**2 - 5413*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n + 2*n)*(-85 - 135 + 55) + (2 - 2 + n)*(-1 - 1 + 1) - n + 0 + 0.\nAnswer: -332*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*h + 34*h - 2, 0 = 5*y + 5*h - 5. Solve -26*r - 24 - 80 = y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 81 + 91 = -2*l, 3*l + 5*v + 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 8:22 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5 + 48*y - 54*y - 2. Suppose 0 = -f + 4*f - j + 3, 5*j = -15. Let x be l(f). Solve h = -3*p - 7, -4*h = -p + x*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d + 16. Let w(a) = 54*a + 126. Let u(p) = 63*t(p) - 8*w(p). Let n(m) = -100*m. Calculate -6*n(b) - 68*u(b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 256\/(-88) - (0 - -8)\/(-2). Factor 2\/11*q**2 + 18\/11 + v*q.\nAnswer: 2*(q + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 2174151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 - 9*s - 7. Suppose -k = -2*k - w - 7, w = -4*k - 16. Let t(b) = -2*b**2 - 4*b - 3. Let u = -15 + 22. Calculate k*g(v) + u*t(v).\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4 - 2*d**3 + 16*d**2 + 24*d = 0. What is d?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 + 7*n + 61 + (3 - 2 - 3)*(-2*n + 3*n - 2*n))*(-3*n + 17*n - n).\nAnswer: 117*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.52*-0.1\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*p - 18 - 13 - 4*p.\nAnswer: -45*p - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5878?\nAnswer: 2, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*1\/(-4)*2. Suppose 0 = -0*o + o - x. Suppose 3 + 12*s**o + 21*s**2 + 8*s**3 + 1 - 25*s**4 - 20*s = 0. What is s?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4511 (base 16) to base 7.\nAnswer: -102356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -481, -1747, -4289, -8551, -14977, -24011?\nAnswer: -36097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 - 55. Suppose c*d + 3*v + 3 = 0, 0 = -2*d - v + 4*v + 15. Suppose 5*t - d*o - 56 = 0, 4*t + 0*t = -5*o + 30. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2852.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11303331333 (base 4) to base 16.\nAnswer: 173f7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 457 (c) -1.5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = l + 1290. What are the prime factors of l?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5450366 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 32*b + 12. Give w(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5459537 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665470 is divided by 59481?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 12*l - 14*l - 2*l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-15))\/((-14)\/(-12)). Let u = 213457 - 1496623\/7. Let w = -344 - u. Is h > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 46, 76, 104, 130?\n\"Answer: -g**2 + 35*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aggyfeygyggfygagfeg. Give prob of sequence yyg.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*j - 9, 4*d - 2 = 2. Suppose 5*h - 6 - 4 = 0. Suppose 2*w - 35 = -j*z, -2*w + 16 = -w + h*z. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = 18*q - 8, -3*s - 3*q = -573. Let h = 52 + -55. Put 3, s, 4, h in decreasing order.\nAnswer: s, 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubob when four letters picked without replacement from obvlouoboobuo.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(4*(-3)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*f = 23, 310*n = 306*n + 3*f - 33 + 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 164\/(-14) + 2\/(-7). Let k be 4\/(c\/15) + 2. Let p be (-4)\/8*2 - k. Solve 5 + 4 = -v + p*s, 5*s - 20 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:43 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1592, 0.4, -4\/9, -24, -2\/5 in ascending order.\nAnswer: -1592, -24, -4\/9, -2\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*-50*(-16)\/480?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/62 and (-1 - 300\/(-352))*-12.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32013205 - 0.\nAnswer: -32013205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 - 206*n**2 - 5*n + 960. Let j be f(103). Solve -8 = -446*h + j*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30720 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -5*r**4\/12 - 7*r**3\/6 + r. What is the second derivative of k(b) wrt b?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 - 1 + 2*c**2 + 3*c**4 - 3796*c**3 + 2*c + 1901*c**3 + 13 + 1897*c**3 to the form v*c**4 + l*c + s + r*c**3 + b*c**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2595500 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 57. Suppose 0 = -5*g + b + 4. Suppose 3*m = g*m - 42. Calculate the smallest common multiple of 4 and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9361732 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/337 and -49\/41?\nAnswer: 13817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 = 5. Let m(z) = z**3 - 3*z**2 + 3*z - 2. What is m(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a**2. Let x(s) = -20 + 49*s + 55 - 35. What is n(x(f))?\nAnswer: -16807*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084555.\nAnswer: 5, 216911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128 - -129.45. Let u = 1.05 - r. Which is the nearest to 2\/13? (a) u (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5)**(-25)\/(r**(2\/15)*r\/r**16) assuming r is positive.\nAnswer: r**(-1652\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = 4*l, 6*l - 4*l + 37 = -5*m. Let w be (-5)\/(-1) + (-8 - l). Suppose 33 = w*g - 0*g. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39222 and 30492.\nAnswer: 66442068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m - 0*m. Suppose -3*g + 5*g = 0. Suppose g = -5*c + m*c + 14. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 4. Let h = 0 + 0. Suppose h = -0*q - q - 2*m - 3, 2*m + 12 = 2*q. Let y be z(q). Which is smaller: 1\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13\/66 - -3\/22. Let w(o) be the first derivative of 2*o + 0*o**2 + i*o**3 - 2. Find the first derivative of w(k) wrt k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) + 1 + 0 + sqrt(1700) - sqrt(1700)) + -1)*1*1)**2 + -2.\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1311 (base 5) to base 13.\nAnswer: -12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -m + 2, -6*s = -5*s - 4*m - 2. Suppose 2*t - k = 2 + s, -k + 5 = t. Calculate the least common multiple of (-5 + 2)*(-8)\/t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-15)\/(-4) - -4. Let c(x) be the first derivative of -1\/2*x**2 - x - 3 + x**3 - y*x**4. What is c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 37*m. Let n be p(2). Suppose 4*a = 5*a + 2, -n = -4*c - 3*a. Suppose 2*o = 31 + 29. Calculate the least common multiple of o and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnznabnvagbb. Give prob of picking 1 z and 1 a.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*z - 129, 0 = -5*z + u + 90 + 175. Calculate the highest common divisor of z and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 3. Let y be t(-3). Suppose -5*s = y*f + f + 2, 0 = -3*f - 3*s. Which is the third biggest value? (a) -5\/4 (b) f (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8226409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -18, -32, -46, -60, -74?\n\"Answer: -14*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/11 in 0, 0.08, -1\/3, 101?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 0. Let y = p - 3. What is the least common multiple of (-1)\/y - 27\/(-12) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1275)\/(-510)*(-62)\/(-12245).\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4 + 132*z**3 + 3*z**2 + 0*z**4 - 128*z**3 = 0. What is z?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26133 and 372?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-39))\/(((-7)\/(-12))\/(-7))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 - o + 52. Let l be f(7). Is 61 a factor of (-189)\/(-18) + -9 - 1674\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -84702?\nAnswer: -84697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 21380423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 542994126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*k = 264*k - 20 + 232 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -110c2 - 5?\nAnswer: -110c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 268 + -247. Which is the closest to m? (a) 4 (b) 0.3 (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -3*d - 3*h + 16, 5*d + 4*h - 164 = 0. Suppose 4*p + d = 8*p. Suppose 0 = y - 2*y + p. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150780828 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14769 = 85*i + 37*i - 23*i + 3483 for i.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 g when four letters picked without replacement from kkkkggkggk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 plus -2959491577706?\nAnswer: -2959491577706.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 59, 146, 297, 530, 863, 1314, 1901?\n\"Answer: 3*v**3 + 5*v**2 + 5*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2\/3, 3, -0.3.\nAnswer: -2\/3, -0.3, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/55 and -1.7785 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 50259757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48835642 is divided by 298?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -6377.\nAnswer: -255.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -303 - -717. Let d = -509 + p. Which is smaller: d or -187\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13465872*w**6 - 4*w**2 - 3840129*w - 2.\nAnswer: 1615904640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -0.2 (b) 0.13 (c) 0 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**2 - 38124864*o + 190624245 = 0.\nAnswer: 5, 12708283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 149 in 5, -0.148, -1\/5, -2, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*j + 25*j + 11*j)*(-10 + 1 + 4 + j**3 + 2*j) as g*j**2 + u*j + b + i*j**3 + a*j**4 and give a.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2494859 and 288279?\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8805164+151603326\nAnswer: 160408490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27332.000078055 + 27332. Round q to 6 dps.\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*h + 48384 = 20*h + 201*h + 156*h for h.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 - 51*s - 572. Does 50 divide g(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*n + 5*z, n + 4*z + 4 = -7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3 + 30*w**2 - 161*w = 0.\nAnswer: 0, 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -161? (a) 2\/5 (b) 2\/7 (c) 3\/37 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l = 0. Let d = 4 - l. Suppose -d*k = -43 - 5. What is the greatest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t - 63637 + 63636 - 5*t. Let u be 3\/(12\/(-8)) - -4. Let k(f) = -u*f + 4*f - 6*f - 5. Give 15*i(y) - 3*k(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/27 in 0.2, -4, 4, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228559201516005 - -221976925071567314969\/971201. Let s = 24\/12613 + w. Let c = -158\/7 + s. Put 0.4, -0.4, c in increasing order.\nAnswer: -0.4, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(28\/3)\/o))\/o*o**(-1\/4))\/((o**(7\/3)*o)\/o*o**(-4)*o))**(-5\/2) assuming o is positive.\nAnswer: o**(475\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 878695354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 308 + 342 = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*d = 158*d - v + 10, 3*v - 9 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*l = -31*l + 2100. Let z be (-2 + 6)*(0 + 1). What is the second derivative of -4*s**3 + 10*s + z*s - l*s wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -65817, -131816, -197815, -263814?\n\"Answer: -65999*c + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose 0 = -i*p + 3 + 6. Suppose 0 = -5*d + p*f + 43, 7*f - 3*f = d + 5. Calculate the remainder when 20 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88240 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**8*(v**(6\/19)\/v)\/v*v**16\/(v\/(v\/(v*v**(1\/8))*v)) assuming v is positive.\nAnswer: v**(3373\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 61.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 973 - 951.74. Let v = 23.8 - q. Let s = v - 2.53999893. What is s rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 0.04 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5557022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4*m**3 + 2584*d**3*m**3 + 33*d**2*m**3 + d*m**3 + 4189*m**3 wrt d.\nAnswer: 48*d*m**3 + 15504*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3360663 (base 7) to base 9\nAnswer: 706480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 821790 and 35702210.\nAnswer: 321319890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 27. Let j be (-2)\/23 + 2373\/(-483). Determine q(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107598739 by -4.\nAnswer: 107598739\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/582 and 43\/582.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 206\/91 + -22\/13. Let y = 2.9 - 3. Which is the closest to 0.1? (a) w (b) 1\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c + 33. Give b(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/3*(90\/(-9) - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9041 is divided by 137?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > 0.0365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 + 174 = 37*y - 46 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -109*x. Let c(w) = 7*w. What is c(k(r))?\nAnswer: -763*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**3 + 2*h**2 - 19*h + 45. What is the remainder when l(4) is divided by 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Let t be (-104)\/(((-28)\/(-12) - 3)\/7). Let j be 1131\/t + (9\/(-7) - -1). What is the closest to 2\/3 in j, c, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 4) + 2 - -2. Suppose -3*g + 2*g = 1, 3*c + g - 11 = b. Suppose -q + 63 = 4*x - c*q, -x - 2*q + 2 = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**3 - 2*t**2 + t. Let x be z(1). Suppose x*l + 7261 = -8339. What is l rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18233, -16, -10, -2, 6.\nAnswer: -18233, -16, -10, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2249103633 to the nearest integer?\nAnswer: 47425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 4.9, -0.6, -1, 3\/7, -29?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 4)*(2*h - 2*h + 2*h) - 2*h + 0 + 0 - 2*h - 3*h + 4*h.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(2*l + 4*l - 4*l) - 2*l + 4*l - l + l + 2*l - l - 1 + l + 1 + (2*l - 6*l + 2*l)*(-1 + 1 - 2) + 2 - l - 2 - 3 + l + 3 + 0*l + 2*l + 0*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*n - 4*n + 19, -g = -3*n + 9. Let s be (-15)\/g - (0 - 0). Suppose -z + 6*z = -s. Which is the closest to z? (a) 6\/5 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -10*j + 5*j - h, -5*j = -3*h - 50. Suppose 75 = 3*x + 3*i, j*i - 2*i + 15 = 2*x. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 18*q**2 + 24*q. Let u(a) = 36*a**2 + 47*a + 1. Let g(y) = 3*u(y) - 5*w(y). Factor g(s).\nAnswer: 3*(s + 1)*(6*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.005451 rounded to 0 decimal places?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -26*i. Let f be l(2). Is 13\/f - (-7642)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 0) + 69 + 137 + -197.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrfyyfrrrrfryrfy. What is prob of sequence fry?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 9 + 6 + 39*h.\nAnswer: 39*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 5. Let z(w) = 16*w + 26. Let r(j) = 11*i(j) + 2*z(j). Give r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42, -226, -658, -1242, -1966, -2818, -3786, -4858?\n\"Answer: 2*m**3 - 94*m**2 + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11430 (base 10) to base 2\nAnswer: -10110010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11797 - 896589\/76. Let d = z - 1549\/380. Find the common denominator of 53\/10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-450)\/117 - (-33)\/3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 548*o**4 - 406?\nAnswer: 2192*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1273399 and 69.\nAnswer: 87864531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00043864049 to seven dps.\nAnswer: 0.0004386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3773 + 0.6773. Sort -2, 1\/10, 2\/1001, c in descending order.\nAnswer: c, 1\/10, 2\/1001, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2*d*j + 3*a**2*j - 5*a*d - 9*d*j - 10 wrt a?\nAnswer: 4*a*d*j + 6*a*j - 5*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1453\/6 + 236. Let z = -149\/12 - t. Calculate the common denominator of z and ((-29)\/(-2))\/(33\/6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wabw when four letters picked without replacement from wfwjabjjwjdwjjwwbb?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 4*t + 16 = 0. Find the second derivative of 3*g - 4*g**t + 0*g + 5*g**4 - 4*g**4 wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52\/3 + -251\/15. Let r(u) = -u**3 - 3*u**2 - 4*u - 5. Let v be r(-2). What is the nearest to 1 in -0.4, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.31. Let q = -0.07 - b. Let a = q + 0.07999926. Round a to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 39. Calculate the remainder when (-12)\/z - (-48 - -5) is divided by (-1548)\/(-108) - 4\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/98 and 89\/1596.\nAnswer: 11172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12019213*j**3 - 23932596*j wrt j?\nAnswer: 72115278*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 5*r**2 + 7*r - 8. Let k be x(6). Let p(i) = -101*i + 1. Is p(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 36220.56 months?\nAnswer: 30.1838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16758 and 7434.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 96 - 24 = 0. Find the common denominator of 1*2 + 138\/v and (97\/(-5))\/((-16)\/10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*h - 23*h - 29*h + 100*h - 229 - 18*h wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 5*u**2 - 2*u + 9. Let w(n) = n**2 - n - 1. Let y(h) = 6*h - 4. Let i be y(1). Let a(d) = i*t(d) + 6*w(d). Factor a(j).\nAnswer: 2*(j - 3)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 590151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + 4 - -1*5. Suppose 0 = 2*f + m*v - v - 40, v = 2. What is the remainder when (-551)\/(-8) - 6\/(-48) is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96791431 to the nearest integer?\nAnswer: 9838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 552 - 556. What is the biggest value in -0.01, s, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 1\/5 (b) -3\/5 (c) -1 (d) 0.5 (e) 0.93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akx when three letters picked without replacement from {k: 10, b: 2, x: 7, a: 1}?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68218.\nAnswer: 2, 23, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1606*o = 1585*o - 42. What is the closest to 3\/2 in o, -4, -4\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 900 divide 18602100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/7))**(2\/41))**(19\/4))**(-2\/103) assuming z is positive.\nAnswer: z**(38\/29561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -119*j**4 - 1137*j**3 - 1576970.\nAnswer: -476*j**3 - 3411*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 1956?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3075 is divided by 114?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**3 + 3*k**3 + 0*k**3 + (-1 + 1 + 2*k)*(-4 + 4 - 2*k**2 + 2 + (-k + 82*k + 75*k)*(-12*k - 6*k + 6*k)).\nAnswer: -3750*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3311 + 20?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 926794 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 8}. What is prob of sequence ubb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 153, 309, 621, 1143?\nAnswer: 1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 - (60 - (-17 + -54))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74076797.\nAnswer: 74076797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12122102 (base 3) to base 16.\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 1. Let r(f) = 44*f. Calculate 4*n(q) - r(q).\nAnswer: -36*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 52*k**2. Let f(q) = 11*q + 6. Let h(v) = -9*v - 7. Let n(c) = -2*f(c) - 3*h(c). Let r(p) = 2*p + 3. Let y(b) = -n(b) + 3*r(b). Determine z(y(d)).\nAnswer: 52*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*p**2 + (-2 + 2*p + 2)*(0*p - 3*p + 2*p) + (p + 3 - 3)*(-2*p + 0*p + 0*p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -19*f + 1746. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -6 + 1)\/(27 + -30). What is the second derivative of 7*s**n - 25 - 47 - 2*s + 56 - 21 wrt s?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -241\/437261 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.494 - -0.494. Let t = 0.15 + -0.2. Let f = t - -5.05. What is the closest to 0.1 in a, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(((-540)\/42)\/10). Which is the smallest value? (a) n (b) 0.5 (c) 2 (d) -0.3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + ((-24)\/2)\/(-3). Let p(v) = v + 8. Let o be p(-6). What is the derivative of o - 4*d**3 - w*d**3 + 5*d**3 wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -35 - 36 + 66 + 9*t + 2*t. What is z(-3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 7)*(-w**3 - 5 + 5).\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -748, -1679, -2982, -4657, -6704?\nAnswer: -9123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611070 + n**3 + 8*n**2 - 21*n**2 - 611070.\nAnswer: n**3 - 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:44 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-28)))\/((o\/(o**(-21\/2)\/o*o))\/o*o) assuming o is positive.\nAnswer: o**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112011220 + -10211?\nAnswer: -112022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/140 and -53\/428.\nAnswer: 14980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/25 and -11\/21328?\nAnswer: 533200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14355 - -52152?\nAnswer: 66527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 2094.\nAnswer: 56538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 17 - 5506*r**2 + 5507*r**2 - 17. Let q(h) = 14*h**2. What is b(q(c))?\nAnswer: 196*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.2 (c) -0.189 (d) -4\/181 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 3, x: 1}. What is prob of sequence xn?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -9 + -9 + (-3 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1572 = 9*f + 3*f. Let r = f - -235. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 9*g**2 + 8*g - 3. Let o be b(-8). Sort -5, -4, o in decreasing order.\nAnswer: o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 190?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 385*u + 10017. Calculate the remainder when 36 is divided by j(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = 0, -4*p = -3*r + p - 11. What are the prime factors of r\/((-36)\/(-483)) + 2\/(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*t**5\/7 - 1008*t**4 - 48802*t**3\/7 + 509112*t**2\/7 + 3258090*t\/7 - 3711312\/7 = 0. Calculate t.\nAnswer: -213, -33\/4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 14*i - 11. Let r(q) be the first derivative of 5*q**3\/3 + 22. Let x be r(1). Is n(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r = 38*r - 265. Does r = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 40*x + 709. Is 7 a factor of q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 534.0069292 - 188.00693217. Let p = q - 346. What is p rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/50 - (-63)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21731.67693 rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 137374*b**3*s**2 + 3*b**3*s - 16899*b**3 wrt s.\nAnswer: 274748*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 6:26 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.05 (b) 12\/23 (c) 3 (d) 1\/7 (e) -8 (f) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) 3 (c) -16 (d) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -521592 divided by 43466\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19283671943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1913949457.\nAnswer: 7, 811, 48163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 23. Suppose -4*s - 5*m + 56 = 0, r*s + 3*m = 5*m + 19. Suppose -5*t + 5*y + 33 = 2*y, 4*t - 44 = -2*y. Is s bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + -1 - 372\/(-60). Let d be (2\/8)\/(3\/(-4)). What is the third smallest value in u, -1\/6, d?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 8929 + 6063 - 2706)*(0 + 0 + 3*n**4) + 4*n**4 + n**5 - 4*n**4 + (-1 + 1 + n)*(-3*n**4 + 0*n**4 + 4*n**4).\nAnswer: -4*n**5 + 36858*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:51 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288076 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(1 + sqrt(1008)) - 4*sqrt(1008)*-6).\nAnswer: -528*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 665.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*d - 142 - 248 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - 6*u. Let w = 1 - 4. Let k be x(w). Calculate the remainder when 10 is divided by (1\/3)\/((-218)\/k + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/18*-3*(51\/595)\/(16\/(-80))\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5 - 276*r**4 + 256*r**3 + 1104*r**2 - 1088*r = 0.\nAnswer: -2, 0, 1, 2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1.02, 2\/77, 0.14?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*h - 2*l - 7, -3*h = l - 13. Suppose 0 = 4*c - 4*y, 3*c - 35 + 15 = -2*y. What are the prime factors of ((-72)\/(-2))\/(h\/c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22549263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53757 - -2?\nAnswer: -53755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 - 16*r**3 + 17*r**3 - 1 + 2*r**4 - 2*r in the form f*r**3 + d + i*r**2 + m*r**4 + u*r and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - 2*j - 5*j**2 + (-2*j - 2*j + 5*j)*(-2*j + 3*j - 3*j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -1\/48*t**4 + 0*t**3 + 3*t + 0 + 0*t**2. Factor s(c).\nAnswer: -c**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -389. Suppose s*y - 372*y = 288. What is the smallest common multiple of 6 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -25*c - 2. What is the units digit of h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*2 + 1 - -78. Let r be 1 + -2 + 64\/16. Suppose -g = -r*x - 26. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9 - 1 = 0. Suppose -68 = -0*z - z. Let b = -63 + z. Solve -l - 2*l = -3*c, t*c - b = l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -4. Suppose -v*b = -13*b + 8. Suppose 0 = -z + b*z. Put z, -2, 4 in decreasing order.\nAnswer: 4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 4 + 0*x + 1. Let q be a(-14). Let z(o) = -o**2 - 11*o - 3. Is 15 a factor of z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -11\/210*v**7 + 6*v**2 + 0*v**5 - 29\/3*v**3 + 1\/60*v**6 + 10*v + 0 + 0*v**4. Differentiate g(x) wrt x.\nAnswer: -44*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2985, -5540, -8095, -10650, -13205, -15760?\nAnswer: -18315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*s + 5*q - 6, 3*q = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-14 - -8) + 5 + -1 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6 + 0*p**2 - 2 - 2*p**2 + p**2 - 8*p. What is the lowest common multiple of a(-6) and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**3\/5 - 546*z**2\/5 - 13767*z\/5 - 13224\/5 = 0.\nAnswer: -152, -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*1*119\/(-51). Let f be 10 - (3 + -8 - m). Is (-5 + (-84)\/f)*-14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (44\/(-7))\/((-45)\/315) is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - 10 - 33 - 48.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -841 divided by -156\nAnswer: 841\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 17*l + 45. Let f be q(-6). Let t be 0 + 19\/(f\/(-396)). Let b = -18 - -30. Calculate the greatest common factor of t and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1977*h**3 + 1 + h**2 + h**2 + 11403*h**3 - 4*h**2.\nAnswer: 13380*h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*r**2 - r - 68 wrt r?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.4 (c) -32086 (d) 1\/2 (e) 1\/6 (f) 0.1 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(12) + -1)**2 - sqrt(12)) - (sqrt(297)\/sqrt(11) + -1).\nAnswer: -27*sqrt(3) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1691, -1679, -1667, -1655?\nAnswer: -1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-25)*o\/(o\/o**7)*((o**(-16)\/o)\/o)\/o**(-23) assuming o is positive.\nAnswer: o**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 - 4 - -5 - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 16294*x - 7601. Does 72 divide f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17751 - -5?\nAnswer: 17756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 376446555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249294, -249216, -249138?\nAnswer: -249060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12498726.\nAnswer: 2, 3, 2083121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q*r**2*x**2 - 13*q*r**2 - 4*q*r*s**2*x - 3*q*r*s**2 + 3*q*r*s*x**2 - 2*r**2*s**2*x**2 - s**2*x**2 - 8*s*x**2 wrt r?\nAnswer: 6*q*x**2 - 26*q - 4*s**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 441918\/85 at most as big as 5199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 67, 10.\nAnswer: 3, 10, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3 - 3) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 2:07 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 109557324 divided by 5\nAnswer: 109557324\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-170)\/(-714) + 1\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2891.709506 rounded to the nearest ten?\nAnswer: -2890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5ee0294 - -5?\nAnswer: -5ee028f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22546.17441 rounded to the nearest 100?\nAnswer: -22500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -237, -198197 in decreasing order.\nAnswer: -5, -237, -198197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 36*h. Suppose 108*k - 111*k = -3. Give r(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 11*i**2 + 12*i + 3. Let x be j(-12). Suppose -4*a + 2*l + 269 = l, 2*l - 199 = -x*a. Is 33 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042375\/225 - 2\/(-9).\nAnswer: 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 2*d = 48. Suppose 0 = -8*w - d + 123. Calculate the least common multiple of 21 and w.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - j + 31*j.\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7148 - 1714 = -286*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*11\/55)\/((-10)\/6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2758*o**2 - 230*o - 4085. Is w(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 7 + -3 - -3996. Suppose -15*v + m = -3. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -190*g + 972. Calculate t(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/8)\/(4*4\/64). Suppose 0 = -c*q + 6 - 6. Sort q, 3, -3.\nAnswer: -3, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5 = -4*v. Suppose -5 = -v*y - 0. Suppose z = y - 0. Which is the third biggest value? (a) 0.2 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1272 and -48.\nAnswer: -61056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*g + 5 - 12 = 0, 3*y - 5*g = 11. Solve y*h - 5*h = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -6.\nAnswer: -6, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.8 + -2.2. Let h = g - -14.5. Which is the nearest to -2? (a) -5 (b) h (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 - 5*s + 31. Let l be q(6). Let a = 6947551\/183906 - -1\/20434. Which is greater: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 62*t - 3602 - 733. What is the remainder when t is divided by (-1 + 2)\/(1\/14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 4:45 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 6441.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8342, 8367, 8418, 8501, 8622, 8787, 9002?\nAnswer: 9273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 10:31 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -920*m - 69021 - 502 - 30471 + 6154 for m.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25425, -101673, -228753, -406665, -635409, -914985?\n\"Answer: -25416*y**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12332, -4, 9.\nAnswer: -12332, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -178 and 0.2.\nAnswer: -35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 427656329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 290, 383, 484, 593?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1\/4, -5, 0.5, 0.3.\nAnswer: -5, 1\/4, 0.3, 3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21925233, 43850469, 65775705?\n\"Answer: 21925236*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 23.15. Let g = 0.28 + -0.13. Let s = d - g. What is the closest to -0.2 in s, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -12.68387\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3421 + -5?\nAnswer: -3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvxmempxpmx. Give prob of picking 1 x, 2 m, and 1 v.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*j = 270 + 111 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -5)*-14 - 9. Let j(z) = z**3 + 6*z**2 + 8*z + 4. Let p be j(-6). Let y = g - p. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 0.47 (c) -2\/3 (d) 8\/1219\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*224\/(-21).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2, -1.4 in descending order.\nAnswer: 3, 0, -1.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.5061362 days?\nAnswer: 43730167680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -1a685?\nAnswer: -1a688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*f + 21. Suppose f*h + 3*h = -375. Is h\/(-9)*(0 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*q - 7*q**4 + 5*q**4 - 4*q**2 - 35*q + q**2 - 8*q**2 to the form d*q + n + v*q**2 + k*q**3 + z*q**4 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*x + 5. Suppose 80*t - 85*t = -5. Let c be (-2)\/(160\/(-85)) - t. Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = 5*w. Suppose 2*c - 1 = 3*v + 10, -w = -5*c - v. Solve z - 2 = -z + 5*n, -z + 5*n = -c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/(1 - 3)*12. Suppose -u + 3*p - 5 = 7, t*u + 5*p - 37 = 0. What is the tens digit of (-386)\/(3*(-10)\/6 + u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h + 17. Let x be q(-13). Suppose 9*j = 5*j + x. Calculate the smallest common multiple of j and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12543\/5 - -3*(-2)\/10.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 + 3*y**2 + y**4 - y**3 - 2 - 7*y**2 to the form a + c*y**4 + p*y**3 + u*y + f*y**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116.6131 + -0.0669. What is w rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 11, -1\/3, 3, -269?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}